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707.433 | Heating and Turbulence Driving by Galaxy Motions in Galaxy Clusters | Using three-dimensional hydrodynamic simulations, we investigate heating and
turbulence driving in an intracluster medium (ICM) by orbital motions of
galaxies in a galaxy cluster. We consider Ng member galaxies on isothermal and
isotropic orbits through an ICM typical of rich clusters. An introduction of
the galaxies immediately produces gravitational wakes, providing perturbations
that can potentially grow via resonant interaction with the background gas.
When Ng^{1/2}Mg_11 < 100, where Mg_11 is each galaxy mass in units of 10^{11}
Msun, the perturbations are in the linear regime and the resonant excitation of
gravity waves is efficient to generate kinetic energy in the ICM, resulting in
the velocity dispersion sigma_v ~ 2.2 Ng^{1/2}Mg_11 km/s. When Ng^{1/2}Mg_11 >
100, on the other hand, nonlinear fluctuations of the background ICM destroy
galaxy wakes and thus render resonant excitation weak or absent. In this case,
the kinetic energy saturates at the level corresponding to sigma_v ~ 220 km/s.
The angle-averaged velocity power spectra of turbulence driven in our models
have slopes in the range of -3.7 to -4.3. With the nonlinear saturation of
resonant excitation, none of the cooling models considered are able to halt
cooling catastrophe, suggesting that the galaxy motions alone are unlikely to
solve the cooling flow problem.
| astro-ph | using threedimensional hydrodynamic simulations we investigate heating and turbulence driving in an intracluster medium icm by orbital motions of galaxies in a galaxy cluster we consider ng member galaxies on isothermal and isotropic orbits through an icm typical of rich clusters an introduction of the galaxies immediately produces gravitational wakes providing perturbations that can potentially grow via resonant interaction with the background gas when ng12mg_11 100 where mg_11 is each galaxy mass in units of 1011 msun the perturbations are in the linear regime and the resonant excitation of gravity waves is efficient to generate kinetic energy in the icm resulting in the velocity dispersion sigma_v 22 ng12mg_11 kms when ng12mg_11 100 on the other hand nonlinear fluctuations of the background icm destroy galaxy wakes and thus render resonant excitation weak or absent in this case the kinetic energy saturates at the level corresponding to sigma_v 220 kms the angleaveraged velocity power spectra of turbulence driven in our models have slopes in the range of 37 to 43 with the nonlinear saturation of resonant excitation none of the cooling models considered are able to halt cooling catastrophe suggesting that the galaxy motions alone are unlikely to solve the cooling flow problem | [['using', 'threedimensional', 'hydrodynamic', 'simulations', 'we', 'investigate', 'heating', 'and', 'turbulence', 'driving', 'in', 'an', 'intracluster', 'medium', 'icm', 'by', 'orbital', 'motions', 'of', 'galaxies', 'in', 'a', 'galaxy', 'cluster', 'we', 'consider', 'ng', 'member', 'galaxies', 'on', 'isothermal', 'and', 'isotropic', 'orbits', 'through', 'an', 'icm', 'typical', 'of', 'rich', 'clusters', 'an', 'introduction', 'of', 'the', 'galaxies', 'immediately', 'produces', 'gravitational', 'wakes', 'providing', 'perturbations', 'that', 'can', 'potentially', 'grow', 'via', 'resonant', 'interaction', 'with', 'the', 'background', 'gas', 'when', 'ng12mg_11', '100', 'where', 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707.4331 | A new twist on Lorenz links | Twisted torus links are given by twisting a subset of strands on a closed
braid representative of a torus link. T--links are a natural generalization,
given by repeated positive twisting. We establish a one-to-one correspondence
between positive braid representatives of Lorenz links and T--links, so Lorenz
links and T--links coincide. Using this correspondence, we identify over half
of the simplest hyperbolic knots as Lorenz knots. We show that both hyperbolic
volume and the Mahler measure of Jones polynomials are bounded for infinite
collections of hyperbolic Lorenz links. The correspondence provides unexpected
symmetries for both Lorenz links and T-links, and establishes many new results
for T-links, including new braid index formulas.
| math.GT math.DS | twisted torus links are given by twisting a subset of strands on a closed braid representative of a torus link tlinks are a natural generalization given by repeated positive twisting we establish a onetoone correspondence between positive braid representatives of lorenz links and tlinks so lorenz links and tlinks coincide using this correspondence we identify over half of the simplest hyperbolic knots as lorenz knots we show that both hyperbolic volume and the mahler measure of jones polynomials are bounded for infinite collections of hyperbolic lorenz links the correspondence provides unexpected symmetries for both lorenz links and tlinks and establishes many new results for tlinks including new braid index formulas | [['twisted', 'torus', 'links', 'are', 'given', 'by', 'twisting', 'a', 'subset', 'of', 'strands', 'on', 'a', 'closed', 'braid', 'representative', 'of', 'a', 'torus', 'link', 'tlinks', 'are', 'a', 'natural', 'generalization', 'given', 'by', 'repeated', 'positive', 'twisting', 'we', 'establish', 'a', 'onetoone', 'correspondence', 'between', 'positive', 'braid', 'representatives', 'of', 'lorenz', 'links', 'and', 'tlinks', 'so', 'lorenz', 'links', 'and', 'tlinks', 'coincide', 'using', 'this', 'correspondence', 'we', 'identify', 'over', 'half', 'of', 'the', 'simplest', 'hyperbolic', 'knots', 'as', 'lorenz', 'knots', 'we', 'show', 'that', 'both', 'hyperbolic', 'volume', 'and', 'the', 'mahler', 'measure', 'of', 'jones', 'polynomials', 'are', 'bounded', 'for', 'infinite', 'collections', 'of', 'hyperbolic', 'lorenz', 'links', 'the', 'correspondence', 'provides', 'unexpected', 'symmetries', 'for', 'both', 'lorenz', 'links', 'and', 'tlinks', 'and', 'establishes', 'many', 'new', 'results', 'for', 'tlinks', 'including', 'new', 'braid', 'index', 'formulas']] | [-0.2826401758092371, 0.1313214615114372, -0.03474368762902238, 0.10149429309160703, -0.10199975905177945, -0.20890815496783366, 0.06440371821888469, 0.3195080594667657, -0.24793903094885703, -0.281178088164465, 0.05700678128579801, -0.25720731422135773, -0.23391928039067847, 0.25945713799023495, -0.142718166285803, 0.025161853307773444, 0.05308087374168363, 0.030087902244519103, -0.07902441691522571, -0.22822017784188078, 0.33216276067224415, -0.06575710400092331, 0.21292174964804542, 0.02861409198323434, 0.14861031453950668, -0.03687109984034164, -0.09446528108621186, 0.03497446580916982, -0.16807328122066048, 0.1121424379419874, 0.21732592309020798, 0.0450095416597006, 0.12043866982937536, -0.3525851422751492, -0.165519188945605, 0.14170192263343118, 0.13012162120060317, -0.022789070336148142, -0.009966926366641102, -0.29023763634772465, 0.04582793630490249, -0.1635677494913001, -0.16265831129117445, -0.08224716418507425, 0.04489576665642248, 0.068983936608261, -0.18696040438318795, 0.03003050630319525, 0.04123315113935281, 0.18203000205804445, 0.003745024452324618, -0.0338033088313585, -0.06466199984689328, 0.18038004723970186, 0.03441445184024897, -0.02401535785545341, 0.05637959720228206, -0.12292952920013869, -0.1670802260156382, 0.3678368257443336, -0.05602722990072586, -0.27451220163228834, 0.19711587540593675, -0.10426811755698344, -0.21069971203211357, 0.16661531572568822, 0.06602258487519892, 0.04613028206777844, -0.04312948118895292, 0.09530230100764046, -0.24062984452836894, 0.0689737384122881, 0.17088429975662042, -0.02863246487368914, 0.16041366522285072, 0.017885535498234358, 0.0741957440586041, 0.219258354148637, 0.015033514740538191, -0.11518075135113164, -0.3369799252260815, -0.26040568367408756, -0.13108357182619246, 0.12813787131189283, -0.1333948582912192, -0.18330080968073822, 0.39007570299065925, 0.003364243682219901, 0.16783394615419886, 0.16882643346960488, 0.1896213579245589, 0.050293076265370475, 0.03702672795837068, 0.09321543515067209, 0.1272039126181467, 0.21937248939224943, -0.007175936153031547, -0.12239456954094666, -0.05096292032182894, 0.2238587681843042] |
707.4332 | The mapping class group and the Meyer function for plane curves | For each d>=2, the mapping class group for plane curves of degree d will be
defined and it is proved that there exists uniquely the Meyer function on this
group. In the case of d=4, using our Meyer function, we can define the local
signature for 4-dimensional fiber spaces whose general fibers are
non-hyperelliptic compact Riemann surfaces of genus 3. Some computations of our
local signature will be given.
| math.GT math.AG | for each d2 the mapping class group for plane curves of degree d will be defined and it is proved that there exists uniquely the meyer function on this group in the case of d4 using our meyer function we can define the local signature for 4dimensional fiber spaces whose general fibers are nonhyperelliptic compact riemann surfaces of genus 3 some computations of our local signature will be given | [['for', 'each', 'd2', 'the', 'mapping', 'class', 'group', 'for', 'plane', 'curves', 'of', 'degree', 'd', 'will', 'be', 'defined', 'and', 'it', 'is', 'proved', 'that', 'there', 'exists', 'uniquely', 'the', 'meyer', 'function', 'on', 'this', 'group', 'in', 'the', 'case', 'of', 'd4', 'using', 'our', 'meyer', 'function', 'we', 'can', 'define', 'the', 'local', 'signature', 'for', '4dimensional', 'fiber', 'spaces', 'whose', 'general', 'fibers', 'are', 'nonhyperelliptic', 'compact', 'riemann', 'surfaces', 'of', 'genus', '3', 'some', 'computations', 'of', 'our', 'local', 'signature', 'will', 'be', 'given']] | [-0.17963013762905114, 0.08836569550676622, -0.10667170373641927, 0.05055893292697822, -0.07980105764084104, -0.14265684275955393, -0.025787972067347797, 0.37679339945316315, -0.2710201205226822, -0.2066868059337139, 0.11816033945196187, -0.24680549751265327, -0.20690812742796497, 0.2596534647830371, -0.1137270778282613, -0.0012400345876812935, 0.010571159267177185, 0.043536565529749445, -0.10513095018804829, -0.33030178621951223, 0.39928275211781694, -0.055117455243632416, 0.19407373813885279, 0.03888537796497669, 0.07355502720220365, 0.027902691969243082, -0.02149206268992545, 0.030844797285786575, -0.16292708630024447, 0.11571359286165755, 0.29948731947460794, 0.12140660338859627, 0.15692581159427113, -0.3227509568998779, -0.22602150096571533, 0.2152210085760748, 0.09152096761660515, 0.028386883127192657, -0.014310067683201876, -0.25183422822653706, 0.13904519558654746, -0.08408442715143252, -0.225752598983978, -0.06863631019233793, 0.08597938547693733, 0.019179611507317295, -0.21420081197351648, -0.007934516808692959, 0.06857510737102965, 0.10705927928126809, -0.010974762630581425, -0.07452938739257609, -0.07897217164787909, 0.1110242558710709, -0.04125938533505415, 0.129176311377112, 0.09166576392759664, -0.04881100669381735, -0.08285658897670067, 0.3638184616153223, -0.0768601604791331, -0.26863763581934397, 0.152325045965288, -0.18032027682478446, -0.1596416793156253, 0.12684615574561167, 0.11064889731452517, 0.18352762005035428, -0.05037069991500913, 0.14654386039414996, -0.12352111301236395, 0.14182557845893112, 0.11154657261500107, -0.019616764490121463, 0.15533989186034255, 0.08838993862298304, 0.08770269758837379, 0.1090676207146, -0.036568402376808765, 0.00890475350678426, -0.39005972920120624, -0.22450746169340782, -0.19031428611344672, 0.11057070613015389, -0.12764069751099907, -0.15381286123200602, 0.396373436205845, -0.014203958756600818, 0.14873574583696714, 0.108837916576506, 0.1671706272063075, 0.10075467160862425, 0.06354453231113544, 0.09959053490445882, 0.18585073690316506, 0.1321088538532132, -0.0403696164097367, -0.10770755082341855, -0.0212003404908962, 0.16466590108862822] |
707.4333 | Bounding the number of stable homotopy types of a parametrized family of
semi-algebraic sets defined by quadratic inequalities | We prove a nearly optimal bound on the number of stable homotopy types
occurring in a k-parameter semi-algebraic family of sets in $\R^\ell$, each
defined in terms of m quadratic inequalities. Our bound is exponential in k and
m, but polynomial in $\ell$. More precisely, we prove the following. Let $\R$
be a real closed field and let \[ {\mathcal P} = \{P_1,...,P_m\} \subset
\R[Y_1,...,Y_\ell,X_1,...,X_k], \] with ${\rm deg}_Y(P_i) \leq 2, {\rm
deg}_X(P_i) \leq d, 1 \leq i \leq m$. Let $S \subset \R^{\ell+k}$ be a
semi-algebraic set, defined by a Boolean formula without negations, whose atoms
are of the form, $P \geq 0, P\leq 0, P \in {\mathcal P}$. Let $\pi: \R^{\ell+k}
\to \R^k$ be the projection on the last k co-ordinates. Then, the number of
stable homotopy types amongst the fibers $S_{\x} = \pi^{-1}(\x) \cap S$ is
bounded by \[ (2^m\ell k d)^{O(mk)}. \]
| math.AG math.AT math.GT | we prove a nearly optimal bound on the number of stable homotopy types occurring in a kparameter semialgebraic family of sets in rell each defined in terms of m quadratic inequalities our bound is exponential in k and m but polynomial in ell more precisely we prove the following let r be a real closed field and let mathcal p p_1p_m subset ry_1y_ellx_1x_k with rm deg_yp_i leq 2 rm deg_xp_i leq d 1 leq i leq m let s subset rellk be a semialgebraic set defined by a boolean formula without negations whose atoms are of the form p geq 0 pleq 0 p in mathcal p let pi rellk to rk be the projection on the last k coordinates then the number of stable homotopy types amongst the fibers s_x pi1x cap s is bounded by 2mell k domk | [['we', 'prove', 'a', 'nearly', 'optimal', 'bound', 'on', 'the', 'number', 'of', 'stable', 'homotopy', 'types', 'occurring', 'in', 'a', 'kparameter', 'semialgebraic', 'family', 'of', 'sets', 'in', 'rell', 'each', 'defined', 'in', 'terms', 'of', 'm', 'quadratic', 'inequalities', 'our', 'bound', 'is', 'exponential', 'in', 'k', 'and', 'm', 'but', 'polynomial', 'in', 'ell', 'more', 'precisely', 'we', 'prove', 'the', 'following', 'let', 'r', 'be', 'a', 'real', 'closed', 'field', 'and', 'let', 'mathcal', 'p', 'p_1p_m', 'subset', 'ry_1y_ellx_1x_k', 'with', 'rm', 'deg_yp_i', 'leq', '2', 'rm', 'deg_xp_i', 'leq', 'd', '1', 'leq', 'i', 'leq', 'm', 'let', 's', 'subset', 'rellk', 'be', 'a', 'semialgebraic', 'set', 'defined', 'by', 'a', 'boolean', 'formula', 'without', 'negations', 'whose', 'atoms', 'are', 'of', 'the', 'form', 'p', 'geq', '0', 'pleq', '0', 'p', 'in', 'mathcal', 'p', 'let', 'pi', 'rellk', 'to', 'rk', 'be', 'the', 'projection', 'on', 'the', 'last', 'k', 'coordinates', 'then', 'the', 'number', 'of', 'stable', 'homotopy', 'types', 'amongst', 'the', 'fibers', 's_x', 'pi1x', 'cap', 's', 'is', 'bounded', 'by', '2mell', 'k', 'domk']] | [-0.23933778925172244, 0.1600063626161393, -0.016060732743319345, -0.020148069226278868, -0.011423210438806564, -0.22001161273938658, 0.04000507812580669, 0.2995457831112778, -0.3212575131397256, -0.23076361929655403, 0.02696207902387387, -0.30117203553398963, -0.033150369311710275, 0.1782303983474027, -0.06504716411205556, -0.042636789782109726, -0.03195810658850379, 0.1278938709275441, -0.07083177462439327, -0.2948121266757987, 0.28444883795729015, -0.16087919635944725, 0.1046468371323499, -0.01877357332748087, 0.04349999792654725, -0.0036274066840312168, 0.059391022016129946, 0.016589033184573054, -0.25454690855900375, 0.08987247528891791, 0.3183612943462589, 0.16596698391196482, 0.2733436278409927, -0.3293312710148337, -0.09128102506528034, 0.2807510399999207, 0.18250511676716782, -0.11198764647398253, 0.0708450949334613, -0.24497845459058332, 0.22149988158386857, -0.08220884488785968, -0.14165296545252204, -0.038377111486624926, 0.20209533145723124, 0.028734393616426077, -0.35435205591185126, -0.032705212607705855, 0.12717075566487276, 0.11983602516342859, -0.01702666457105592, -0.21980543137418435, -0.06724458640811089, -0.020863088673008057, -0.07622930701986394, 0.1404065112138222, 0.04389433845233939, -0.008829761721084224, -0.06415241370867829, 0.3311860886661795, -0.08126365366008352, -0.21761689037221538, 0.05923931956674684, -0.23408455400974215, -0.12645774836966986, 0.13471681875628694, 0.11544067510369453, 0.23824784824426068, 0.0036927848448292076, 0.2887648907447275, -0.13506139058154076, 0.1272862306659055, 0.131113084824071, -0.004059445989482543, 0.10069485750693061, 0.062138781273354066, 0.10461389603476752, 0.09352405994757325, -0.013060422395617078, 0.06117768320665859, -0.3894642966744654, -0.1452067147996893, -0.18295918347875534, 0.20826070680649375, -0.14769721652791143, -0.08720798074158237, 0.27205538478344404, -0.00920505853890277, 0.22335476655622616, 0.12851628768668674, 0.17095947869272685, 0.051905936332225205, -0.009991278142586131, 0.13845351486575322, 0.02840997386888108, 0.18317289739463696, -0.06956369579454665, -0.15045511859866298, 0.010670622458051452, 0.15049411667036217] |
707.4334 | Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with
Dilaton | We study cosmological solutions in the low-energy effective heterotic string
theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton.
We show that the field equations are cast into an autonomous system for flat
internal and external spaces, and derive all the fixed points in the system. We
also examine the time evolution of the solutions and whether the solutions can
give (transient) accelerated expansion of our four-dimensional space in the
Einstein frame.
| hep-th astro-ph gr-qc | we study cosmological solutions in the lowenergy effective heterotic string theory which is the einstein gravity with gaussbonnet term and the dilaton we show that the field equations are cast into an autonomous system for flat internal and external spaces and derive all the fixed points in the system we also examine the time evolution of the solutions and whether the solutions can give transient accelerated expansion of our fourdimensional space in the einstein frame | [['we', 'study', 'cosmological', 'solutions', 'in', 'the', 'lowenergy', 'effective', 'heterotic', 'string', 'theory', 'which', 'is', 'the', 'einstein', 'gravity', 'with', 'gaussbonnet', 'term', 'and', 'the', 'dilaton', 'we', 'show', 'that', 'the', 'field', 'equations', 'are', 'cast', 'into', 'an', 'autonomous', 'system', 'for', 'flat', 'internal', 'and', 'external', 'spaces', 'and', 'derive', 'all', 'the', 'fixed', 'points', 'in', 'the', 'system', 'we', 'also', 'examine', 'the', 'time', 'evolution', 'of', 'the', 'solutions', 'and', 'whether', 'the', 'solutions', 'can', 'give', 'transient', 'accelerated', 'expansion', 'of', 'our', 'fourdimensional', 'space', 'in', 'the', 'einstein', 'frame']] | [-0.19039368622625868, 0.08509482956976475, -0.09319976970786228, 0.10192108055731902, -0.0714666990408053, -0.11395866552988689, -0.03917371905874461, 0.3026641075064739, -0.22350340808120867, -0.2657196511902536, 0.11365687438752502, -0.26042589914053677, -0.15031721431141098, 0.1467679509551575, -0.04090900080899398, 0.012821637404461702, 0.003817135530213515, 0.07708792690808575, -0.08565473703977962, -0.2981319679319859, 0.40154589449986816, 0.038061812408268454, 0.22965173064420621, -0.008762118195494016, 0.1532302712959548, -0.0199314604094252, 0.008016662187874318, 0.058527927628019824, -0.16496283647652793, 0.07202129079649845, 0.19836288126185536, 0.10805631707111994, 0.18812336710592112, -0.4459384363144636, -0.23757065838202834, 0.07888961614420016, 0.1547468416268627, 0.183429012306345, -0.03068139801422755, -0.3003510140130917, 0.045350499137615165, -0.14991447295993565, -0.14947994304200013, -0.10250441675384839, 0.026363534146609406, 0.0035495006013661623, -0.21452135985096296, 0.027753085572427758, 0.012728492928047975, -0.03018549511830012, -0.20595627675453823, -0.012915059744069974, 0.007814176073297858, 0.10133477752407392, 0.11934601840407898, 0.05158966257236898, 0.09429584763323268, -0.16051908851911625, -0.08235762083282074, 0.3988425001502037, -0.15827528156961004, -0.23916883684694767, 0.1304929171440502, -0.15330728065222501, -0.1084071844878296, 0.0674052625025312, 0.14878525335962572, 0.1538215956588586, -0.15582818681995073, 0.2032664176914841, -0.011661863153179486, 0.15198727376759052, 0.0739597735988597, 0.03970882983878255, 0.2721225393811862, 0.09951715586086114, 0.060571722624202566, 0.13108708418905735, -0.01412057672937711, -0.10329943844039614, -0.4089649590228995, -0.16959037249907852, -0.07397762782406062, 0.0887865352506439, -0.18403081446187572, -0.1944757558343311, 0.3609556973353028, 0.12764672455067436, 0.13099455676351984, 0.062491800910793247, 0.21293111845850946, 0.14520723352363954, 0.00572861272841692, 0.12594730187828343, 0.31453073023507994, 0.08322953199346861, 0.13684905202127992, -0.29176264541223645, -0.10681519570449988, 0.15583327994371454] |
707.4335 | Strongly-correlated multi-particle transport in one-dimension through a
quantum impurity: an outline of exact and complete solutions | We consider the transport properties of multiple-particle quantum states in a
class of one-dimensional systems with a single quantum impurity. In these
systems, the local interaction at the quantum impurity induces strong and
non-trivial correlations between the multi-particles. We outline an exact
theoretical approach, based upon real-space equations of motion and the Bethe
ansatz, that allows one to construct the full scattering matrix (S-matrix) for
these systems. In particular, we emphasize the need for completeness check upon
the eigenstates of the S-matrix, when these states obtained from Bethe Ansatz
are used for describing the scattering properties. As a detailed example of our
approach, we solve the transport properties of two photons incident on a single
two-level atom, when the photons are restricted to a one-dimensional system
such as a photonic crystal waveguide. Our approach predicts a number of novel
nonlinear effects involving only two photons, including background
fluorescence, spatial attraction and repulsion between the photons, as well as
the emergence of a two-photon bound state.
| quant-ph | we consider the transport properties of multipleparticle quantum states in a class of onedimensional systems with a single quantum impurity in these systems the local interaction at the quantum impurity induces strong and nontrivial correlations between the multiparticles we outline an exact theoretical approach based upon realspace equations of motion and the bethe ansatz that allows one to construct the full scattering matrix smatrix for these systems in particular we emphasize the need for completeness check upon the eigenstates of the smatrix when these states obtained from bethe ansatz are used for describing the scattering properties as a detailed example of our approach we solve the transport properties of two photons incident on a single twolevel atom when the photons are restricted to a onedimensional system such as a photonic crystal waveguide our approach predicts a number of novel nonlinear effects involving only two photons including background fluorescence spatial attraction and repulsion between the photons as well as the emergence of a twophoton bound state | [['we', 'consider', 'the', 'transport', 'properties', 'of', 'multipleparticle', 'quantum', 'states', 'in', 'a', 'class', 'of', 'onedimensional', 'systems', 'with', 'a', 'single', 'quantum', 'impurity', 'in', 'these', 'systems', 'the', 'local', 'interaction', 'at', 'the', 'quantum', 'impurity', 'induces', 'strong', 'and', 'nontrivial', 'correlations', 'between', 'the', 'multiparticles', 'we', 'outline', 'an', 'exact', 'theoretical', 'approach', 'based', 'upon', 'realspace', 'equations', 'of', 'motion', 'and', 'the', 'bethe', 'ansatz', 'that', 'allows', 'one', 'to', 'construct', 'the', 'full', 'scattering', 'matrix', 'smatrix', 'for', 'these', 'systems', 'in', 'particular', 'we', 'emphasize', 'the', 'need', 'for', 'completeness', 'check', 'upon', 'the', 'eigenstates', 'of', 'the', 'smatrix', 'when', 'these', 'states', 'obtained', 'from', 'bethe', 'ansatz', 'are', 'used', 'for', 'describing', 'the', 'scattering', 'properties', 'as', 'a', 'detailed', 'example', 'of', 'our', 'approach', 'we', 'solve', 'the', 'transport', 'properties', 'of', 'two', 'photons', 'incident', 'on', 'a', 'single', 'twolevel', 'atom', 'when', 'the', 'photons', 'are', 'restricted', 'to', 'a', 'onedimensional', 'system', 'such', 'as', 'a', 'photonic', 'crystal', 'waveguide', 'our', 'approach', 'predicts', 'a', 'number', 'of', 'novel', 'nonlinear', 'effects', 'involving', 'only', 'two', 'photons', 'including', 'background', 'fluorescence', 'spatial', 'attraction', 'and', 'repulsion', 'between', 'the', 'photons', 'as', 'well', 'as', 'the', 'emergence', 'of', 'a', 'twophoton', 'bound', 'state']] | [-0.1277735218236392, 0.15299759376026817, -0.07472413834607737, 0.06680591596488022, -0.011067878889540831, -0.14319714470907594, 0.04698193412076569, 0.362252053319279, -0.25175413280499703, -0.2826592068667665, 0.003735707691080417, -0.32466857611831407, -0.12869649821271498, 0.18724704166930733, 0.07094424942395453, 0.09594179995227464, 0.05804123562534876, 0.022753224263645032, -0.08495121806662417, -0.1641732584889696, 0.34297943163776035, 0.0016635246765376492, 0.28732029913049756, 0.07010805554067095, 0.10613137936840454, 0.09170761692168361, 0.061790736763258323, -0.006568462108120773, -0.086229515178914, 0.12400905345531293, 0.20947237851867226, 0.045017642926452967, 0.21698405712165617, -0.4628516626177412, -0.21613363721831277, 0.05199948889908917, 0.16974143315332405, 0.20761737301945687, -0.050185400465588004, -0.3086977606357047, -0.020466316789106438, -0.16970417405845542, -0.1560532315097975, -0.08566560932632648, -0.02720383842278159, 0.018509229396780333, -0.23974789191517187, 0.07093573361917427, 0.04782847305124795, 0.013583175013032318, -0.04154684718056215, -0.05986400535965169, -0.006499151473469807, 0.09985549559880218, -0.016397827975875273, -0.05558429318621303, 0.10731978839771314, -0.1443577915966285, -0.13148815493579163, 0.3811341587849187, -0.058579640098932115, -0.20490221315289311, 0.19572625125574908, -0.10832515865225684, -0.10882425958177809, 0.11397254666539304, 0.1555911047098396, 0.11726596205747532, -0.15222096483339556, 0.09374060131729382, -0.05286601146852428, 0.17007371170523886, 0.027107145970292165, 0.10874731220643628, 0.21452120465939073, 0.14539597689625666, 0.030484932972202925, 0.1752914853281144, -0.08108673351534613, -0.11857528424059803, -0.32636986865916034, -0.15469819283797265, -0.20013072087683462, 0.08557269840473027, -0.08039861382099898, -0.2031539962260109, 0.38691642658333436, 0.14859058918487844, 0.18594049986621194, 0.013208471070692847, 0.2563676078436953, 0.1573619492535451, 0.022049233231651172, 0.03406241726356022, 0.24902705476816855, 0.1776406151270776, 0.048156130092331405, -0.2915259529427258, -0.004008317620239474, 0.08030582476745952] |
707.4336 | Search for the CP-violating decays $\Upsilon(4S) B0\bar{B}0 J/K0_S +
J/\psi(\eta_c)K0_S$ | We report the first search for CP violating decays of the $\Upsilon(4S)$
using a data sample that contains 535 million $\Upsilon(4S)$ mesons with the
Belle detector at the KEKB asymmetric-energy e^+ e^- collider. A partial
reconstruction technique is employed to enhance the signal sensitivity. No
significant signals were observed. We obtain an upper limit of $4 \times
10^{-7}$ at the 90 % confidence level for the branching fractions of the $CP$
violating modes, $\Upsilon(4S) \to B^0\bar{B}^0 \to J/\psi K^0_S +
J/\psi(\eta_c) K^0_S$. Extrapolating the result, we find that an observation
with 5$\sigma$ significance is expected with a 30 ab^{-1} data sample, which is
within the reach of a future super B factory.
| hep-ex | we report the first search for cp violating decays of the upsilon4s using a data sample that contains 535 million upsilon4s mesons with the belle detector at the kekb asymmetricenergy e e collider a partial reconstruction technique is employed to enhance the signal sensitivity no significant signals were observed we obtain an upper limit of 4 times 107 at the 90 confidence level for the branching fractions of the cp violating modes upsilon4s to b0barb0 to jpsi k0_s jpsieta_c k0_s extrapolating the result we find that an observation with 5sigma significance is expected with a 30 ab1 data sample which is within the reach of a future super b factory | [['we', 'report', 'the', 'first', 'search', 'for', 'cp', 'violating', 'decays', 'of', 'the', 'upsilon4s', 'using', 'a', 'data', 'sample', 'that', 'contains', '535', 'million', 'upsilon4s', 'mesons', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetricenergy', 'e', 'e', 'collider', 'a', 'partial', 'reconstruction', 'technique', 'is', 'employed', 'to', 'enhance', 'the', 'signal', 'sensitivity', 'no', 'significant', 'signals', 'were', 'observed', 'we', 'obtain', 'an', 'upper', 'limit', 'of', '4', 'times', '107', 'at', 'the', '90', 'confidence', 'level', 'for', 'the', 'branching', 'fractions', 'of', 'the', 'cp', 'violating', 'modes', 'upsilon4s', 'to', 'b0barb0', 'to', 'jpsi', 'k0_s', 'jpsieta_c', 'k0_s', 'extrapolating', 'the', 'result', 'we', 'find', 'that', 'an', 'observation', 'with', '5sigma', 'significance', 'is', 'expected', 'with', 'a', '30', 'ab1', 'data', 'sample', 'which', 'is', 'within', 'the', 'reach', 'of', 'a', 'future', 'super', 'b', 'factory']] | [-0.10281724795032378, 0.16637910202711778, -0.07375202769921585, 0.0734068247775378, -0.06667594695463777, -0.10581686007366939, 0.13644989340841263, 0.2618837736292996, -0.11854690850543027, -0.3153444837990471, 0.011642250930890441, -0.46218483660539444, 0.05927861307493665, 0.16246345674153417, 0.0874106104760854, 0.11913874436339195, 0.15485329407859932, 0.019638756237162106, -0.04742815663445402, -0.20628668842837214, 0.13623504816998983, 0.07301296744368632, 0.2412538507392376, 0.055713934468274766, 0.04817983553829518, -0.039866228494793175, -0.031119210086762904, -0.09132282771170139, -0.14061075307214527, 0.006031085711649873, 0.2664318775842813, 0.20112021749056028, 0.14625008162111044, -0.3293968212106847, 0.03429442443673245, 0.23950818615372885, 0.12826206021603537, 0.030335224922534754, -0.05010158977026797, -0.40286401094953445, 0.19524305830445057, -0.1628370470917699, -0.07613356935537674, -0.0015099836354651912, 0.051836810663173145, -0.14996044685725463, -0.39869234845126894, 0.1071719746317037, -0.08306321632117034, 0.10151424827874342, -0.013355062652209943, -0.24155799178829926, -0.014202553872019052, -0.05282630591907284, -0.0014135648136619817, 0.09317297280411532, 0.1987234649036757, -0.07646754840997429, -0.21355861514298755, 0.3550068739547648, -0.10989705793287033, -0.08025616201233457, 0.1592625290663405, -0.30526142483153806, -0.15666762875731696, 0.24974273823370988, 0.30037025164982134, 0.02345491705293005, -0.25446008401499554, 0.11216554715806111, -0.0218496677973731, 0.2045524451881647, 0.10687905454119159, 0.07426330097739331, 0.17293487152677367, 0.2573003298751163, 0.07683943411843343, 0.06694624118655074, -0.19773519378240137, 0.04921969992944717, -0.4232683539977932, -0.11336492859091694, -0.05899775331331925, 0.09933098709972744, -0.03172290982937821, -0.02991147515448657, 0.35575938258658757, 0.10171754547945139, 0.35059588754718957, 0.04795980838190934, 0.27708219617753377, 0.11133596942844716, 0.02993046053108463, 0.05386864482253176, 0.333506616293876, 0.1352114341581579, 0.13854620732705702, -0.2725984576539221, -0.004287839887282726, -0.05608706567436457] |
707.4337 | Double Lepton Polarization in $\Lambda_b -->\Lambda l^+ l^-$ Decay in
the Standard Model with Fourth Generations Scenario | This study investigates the influence of the fourth generation quarks on the
double lepton polarizations in \Lambda_b --> \Lambda \ell^+ \ell^- decay by
taking |V^\ast_{t's}V_{t'b}|= 0.005,0.01,0.02,0.03 with phase
\{60^\circ,90^\circ,120^\circ\}. We will try to obtain a constrain on the mass
of the 4th generation top like quark t', which is consistent with the $b-->
s\ell^+\ell^- rate . With the above mentioned parameters, we will try to show
that the double lepton(muon, tau) polarizations are quite sensitive to the
existence of fourth generation. It can serve as a good tool to search for new
physics effects, precisely, to search for the fourth generation quarks(t', b')
via its indirect manifestations in loop diagrams.
| hep-ph | this study investigates the influence of the fourth generation quarks on the double lepton polarizations in lambda_b lambda ell ell decay by taking vast_tsv_tb 0005001002003 with phase 60circ90circ120circ we will try to obtain a constrain on the mass of the 4th generation top like quark t which is consistent with the b sellell rate with the above mentioned parameters we will try to show that the double leptonmuon tau polarizations are quite sensitive to the existence of fourth generation it can serve as a good tool to search for new physics effects precisely to search for the fourth generation quarkst b via its indirect manifestations in loop diagrams | [['this', 'study', 'investigates', 'the', 'influence', 'of', 'the', 'fourth', 'generation', 'quarks', 'on', 'the', 'double', 'lepton', 'polarizations', 'in', 'lambda_b', 'lambda', 'ell', 'ell', 'decay', 'by', 'taking', 'vast_tsv_tb', '0005001002003', 'with', 'phase', '60circ90circ120circ', 'we', 'will', 'try', 'to', 'obtain', 'a', 'constrain', 'on', 'the', 'mass', 'of', 'the', '4th', 'generation', 'top', 'like', 'quark', 't', 'which', 'is', 'consistent', 'with', 'the', 'b', 'sellell', 'rate', 'with', 'the', 'above', 'mentioned', 'parameters', 'we', 'will', 'try', 'to', 'show', 'that', 'the', 'double', 'leptonmuon', 'tau', 'polarizations', 'are', 'quite', 'sensitive', 'to', 'the', 'existence', 'of', 'fourth', 'generation', 'it', 'can', 'serve', 'as', 'a', 'good', 'tool', 'to', 'search', 'for', 'new', 'physics', 'effects', 'precisely', 'to', 'search', 'for', 'the', 'fourth', 'generation', 'quarkst', 'b', 'via', 'its', 'indirect', 'manifestations', 'in', 'loop', 'diagrams']] | [-0.10591851300201736, 0.20753888690468067, -0.039281830876671635, 0.1315937030594796, -0.1039423557320753, -0.12277586289788954, 0.07641253577625881, 0.29859064016132975, -0.27463913794893485, -0.2982608151908677, 0.05163915203257392, -0.2782971925648431, -0.037865521475816004, 0.19561436110570168, 0.05730732207974562, 0.026935704472774748, 0.04333145772733797, 0.057785187082257695, -0.058946320838563576, -0.20979792522176957, 0.2980742236026205, 0.04966513491056573, 0.20721028884201168, 0.0704519373516982, 0.001210096596668546, -0.007567887498925512, -0.07302305572487128, -0.0641015504907745, -0.14900296938622676, 0.07191343092339454, 0.1809159019987699, 0.08524344022421596, 0.16983910708222538, -0.32935132668353617, -0.11356915279891557, 0.14618710693545067, 0.12186718660030657, 0.07523264815301026, -0.06180783825290676, -0.2703778403094755, 0.14158032401414508, -0.1597910711559682, -0.13717875741153526, -0.11931534577608825, 0.02161952207993286, 0.013052477902070118, -0.32987868544072485, 0.0331001611193642, 0.021783308076779716, -0.04607058070206012, 0.04362056500059015, -0.16640022064138277, -0.025812936711680286, 0.11466337229984884, 0.08754196923109703, 0.04718136033961155, 0.0788175649560379, -0.15049274619265746, -0.17925802864528334, 0.43392901833599, -0.15721020177723125, -0.1733101373180174, 0.1545608741356633, -0.22476343635487586, -0.16318562745492762, 0.08238584260442831, 0.211516874591605, 0.10428838711791635, -0.1459450840081375, 0.07722076504097249, -0.005078697645400938, 0.14769780523000428, 0.05963566966014556, 0.04517051543762836, 0.27703703100828886, 0.18255675807953453, 0.04949038193668597, 0.12840308613913992, -0.11941673614917538, -0.057891173055395484, -0.37578917917114896, -0.14879896942203721, -0.08022781239392665, 0.053186065931535825, -0.01538334163174463, -0.11391735591818221, 0.4199852987479132, 0.14190752155487785, 0.22072611203895157, -0.006624859993910202, 0.28528370584647816, 0.09647466749055848, 0.09859902690312503, 0.012826663172745612, 0.30240893442756855, 0.16141015650534357, 0.14631988012787098, -0.2542683279920871, 0.05795196475810371, 0.09176274505443871] |
707.4338 | The radial breathing-like mode of the collapsed Single-walled carbon
nanotube bundle under hydrostatic pressure | Using the first principles calculations we have studied the vibrational modes
and Raman spectra of a (10, 10) single-walled carbon nanotube (SWNT) bundle
under hydrostatic pressure. Detailed analysis shows that the original radial
breathing mode (RBM) of the SWNT bundle disappears after the structural phase
transition (SPT). And significantly a RBM-like mode appears at about 509
cm^{-1}, which could be considered as a fingerprint of the SPT happened in the
SWNT bundle, and further used to determine the microscopic structure of the
bundle after the SPT.
| cond-mat.mes-hall cond-mat.mtrl-sci | using the first principles calculations we have studied the vibrational modes and raman spectra of a 10 10 singlewalled carbon nanotube swnt bundle under hydrostatic pressure detailed analysis shows that the original radial breathing mode rbm of the swnt bundle disappears after the structural phase transition spt and significantly a rbmlike mode appears at about 509 cm1 which could be considered as a fingerprint of the spt happened in the swnt bundle and further used to determine the microscopic structure of the bundle after the spt | [['using', 'the', 'first', 'principles', 'calculations', 'we', 'have', 'studied', 'the', 'vibrational', 'modes', 'and', 'raman', 'spectra', 'of', 'a', '10', '10', 'singlewalled', 'carbon', 'nanotube', 'swnt', 'bundle', 'under', 'hydrostatic', 'pressure', 'detailed', 'analysis', 'shows', 'that', 'the', 'original', 'radial', 'breathing', 'mode', 'rbm', 'of', 'the', 'swnt', 'bundle', 'disappears', 'after', 'the', 'structural', 'phase', 'transition', 'spt', 'and', 'significantly', 'a', 'rbmlike', 'mode', 'appears', 'at', 'about', '509', 'cm1', 'which', 'could', 'be', 'considered', 'as', 'a', 'fingerprint', 'of', 'the', 'spt', 'happened', 'in', 'the', 'swnt', 'bundle', 'and', 'further', 'used', 'to', 'determine', 'the', 'microscopic', 'structure', 'of', 'the', 'bundle', 'after', 'the', 'spt']] | [-0.1244521182961762, 0.12997552312581856, -0.09698245525907945, -0.037636857457897244, -0.02211203496245777, -0.13165047072860248, 0.11289460427839966, 0.42440918236970904, -0.24781876644667458, -0.24656794255270678, 0.08223536343122011, -0.2515783722128938, -0.13892811891787193, 0.11130365315441261, 0.028926962088136113, 0.011210176091202919, 0.06013618673554019, 0.03983253698576899, -0.07044948942904525, -0.17631109895677688, 0.26639235497397534, 0.0950592776760459, 0.35287664271891117, 0.05288018643075381, 0.05270614779609091, -0.02613042015582323, 0.046483682510990866, -0.008094919757807956, -0.1781606337361154, 0.04835929307429229, 0.24372758208226195, -0.022441857806680832, 0.2108338388696532, -0.4399459075073109, -0.20714295620427411, 0.025144823884372326, 0.15344744423294768, 0.13229902331470786, 0.055629122317494714, -0.2734233142493074, 0.08627026149564807, -0.12496426256702227, -0.14504809153868872, -0.08739257998822722, -0.01340588140027488, -0.08084669759058777, -0.17716035593150403, 0.08741662401486845, 0.02363725246669834, 0.12466001330578685, -0.15387805375982733, -0.13329028295462622, -0.16292990997762363, 0.07335542875944692, 0.04044202079941683, 0.00938499564962352, 0.26093678964192374, -0.05536219127037946, -0.09934974086799604, 0.428898225023466, -0.12818113959887448, -0.02961029094808242, 0.11463749910266523, -0.13820025486981166, -0.13409089174340752, 0.2129149008597083, 0.06711818239487269, 0.08509338437031735, -0.09084331703385995, -0.012873793767956908, 0.00609813003855593, 0.22586294456987696, 0.0933612104614868, 0.018633177093065837, 0.21657135570421815, 0.1816478179404786, 0.009142245837103795, 0.14171414665521725, -0.16922157224377288, 0.0006818162633434815, -0.23434998855433042, -0.2103067398947828, -0.14739729797618245, 0.07902879406122819, -0.0659071306747672, -0.1527149017133257, 0.46003164403578817, 0.029233828844393, 0.18474284295430954, 0.00974325353745371, 0.24173435435548205, 0.0641884008080096, 0.11831376711112064, -0.0011642153046148664, 0.3355937397217049, 0.22026044299059055, 0.12211877166786615, -0.24059470935505542, -0.02206589394413373, 0.007326009124517441] |
707.4339 | Classification of free actions on complete intersections of four
quadrics | In this paper we classify all free actions of finite groups on Calabi-Yau
complete intersection of 4 quadrics in $\PP^7$, up to projective equivalence.
We get some examples of smooth Calabi-Yau threefolds with large nonabelian
fundamental groups. We also observe the relation between some of these examples
and moduli of polarized abelian surfaces.
| math.AG | in this paper we classify all free actions of finite groups on calabiyau complete intersection of 4 quadrics in pp7 up to projective equivalence we get some examples of smooth calabiyau threefolds with large nonabelian fundamental groups we also observe the relation between some of these examples and moduli of polarized abelian surfaces | [['in', 'this', 'paper', 'we', 'classify', 'all', 'free', 'actions', 'of', 'finite', 'groups', 'on', 'calabiyau', 'complete', 'intersection', 'of', '4', 'quadrics', 'in', 'pp7', 'up', 'to', 'projective', 'equivalence', 'we', 'get', 'some', 'examples', 'of', 'smooth', 'calabiyau', 'threefolds', 'with', 'large', 'nonabelian', 'fundamental', 'groups', 'we', 'also', 'observe', 'the', 'relation', 'between', 'some', 'of', 'these', 'examples', 'and', 'moduli', 'of', 'polarized', 'abelian', 'surfaces']] | [-0.19158916196857506, 0.11378010865659095, -0.060029030714828804, 0.11750479849153915, -0.09412266040901439, -0.13820390344167557, 0.02574617150150096, 0.41288326852596724, -0.2757865737299793, -0.2532612583958186, 0.08863754459889606, -0.2673097028074643, -0.16823409531766978, 0.21796620612552103, -0.1951361641359444, -0.0311658575396555, -0.005114548933656456, 0.03475584790038948, -0.13330451486399397, -0.447749206975389, 0.5029369342821435, -0.14806060256579748, 0.24479364470551865, 0.1031913822158598, 0.12808210239745677, -0.021171338117430702, -0.03945427807047963, 0.00907050071355815, -0.16727812296281067, 0.17573037376412406, 0.3630372947261024, 0.012408994594947077, 0.0830522704994879, -0.3987209164322569, -0.13320656511216208, 0.2513187659116319, 0.09230500036993852, 0.11940219921346468, -0.03179307073542777, -0.24819951919982067, 0.11370586474927571, -0.1631885024454767, -0.164502466061654, -0.13499703318274653, 0.040528668341441795, 0.058925992146564216, -0.09195834434089753, -0.029531070681024667, 0.06597324140154971, 0.20392081608924156, -0.0666350676642301, -0.02461705974733027, -0.09571757727266791, 0.10623875539749861, 0.03769607229444843, -0.01955865243843828, 0.035694395254652664, -0.1323156583619913, -0.13993908452371565, 0.37606566710970724, -0.021625718889901273, -0.19726794209474555, 0.16824151998242506, -0.1796871771534475, -0.1877309273247822, 0.14743225417959577, 0.1661221764695186, 0.22436404135078192, 0.01084195483977405, 0.13995759224837037, -0.1327444322837087, 0.06052677927968594, 0.12677387225155073, -0.020570976391004827, 0.1270084984940835, 0.09147577874290828, 0.07349057167840119, 0.14346809160465804, 0.02216676907846704, -0.03668036024408558, -0.4892762294755532, -0.20650529431609008, -0.01623369791195728, 0.20747211031042612, -0.12887365447526322, -0.15048841001071894, 0.4066906237186721, 0.048609228330091216, 0.20320945054006118, 0.11279520009142849, 0.19426793934634098, -0.06678639999322164, 0.026172872310361035, 0.041741156252101064, 0.13056075629048372, 0.22150930702292287, -0.11114485249317323, -0.10585075874293509, -0.17274094040308577, 0.17366109426634815] |
707.434 | Raman characteristic peaks induced by the topological defects of Carbon
Nanotube Intramolecular Junction | The vibrational modes of some single wall carbon nanotube (SWNT)
intramolecular junctions (IMJs) have been calculated using the newest Brenner
reactive empirical bond order (REBO) potential, based upon which their
nonresonant Raman spectra have been further calculated using the empirical bond
polarizability model. It is found that the Raman peaks induced by pentagon
defects lie out of the $G$-band of the SWNTs, so the high-frequency part of the
Raman spectra of the SWNT IMJs can be used to determine experimentally their
detailed geometrical structures. Also, the intensity of the Raman spectra has a
close relation with the number of pentagon defects in the SWNT IMJs. Following
the Descartes-Euler Polyhedral Formula (DEPF), the number of heptagon defects
in the SWNT IMJs can also be determined. The first-principle calculations are
also performed, verifying the results obtained by the REBO potential. The $G$
band width of the SWNT IMJ can reflect the length of its transition region
between the pentagon and heptagon rings.
| cond-mat.mes-hall cond-mat.mtrl-sci | the vibrational modes of some single wall carbon nanotube swnt intramolecular junctions imjs have been calculated using the newest brenner reactive empirical bond order rebo potential based upon which their nonresonant raman spectra have been further calculated using the empirical bond polarizability model it is found that the raman peaks induced by pentagon defects lie out of the gband of the swnts so the highfrequency part of the raman spectra of the swnt imjs can be used to determine experimentally their detailed geometrical structures also the intensity of the raman spectra has a close relation with the number of pentagon defects in the swnt imjs following the descarteseuler polyhedral formula depf the number of heptagon defects in the swnt imjs can also be determined the firstprinciple calculations are also performed verifying the results obtained by the rebo potential the g band width of the swnt imj can reflect the length of its transition region between the pentagon and heptagon rings | [['the', 'vibrational', 'modes', 'of', 'some', 'single', 'wall', 'carbon', 'nanotube', 'swnt', 'intramolecular', 'junctions', 'imjs', 'have', 'been', 'calculated', 'using', 'the', 'newest', 'brenner', 'reactive', 'empirical', 'bond', 'order', 'rebo', 'potential', 'based', 'upon', 'which', 'their', 'nonresonant', 'raman', 'spectra', 'have', 'been', 'further', 'calculated', 'using', 'the', 'empirical', 'bond', 'polarizability', 'model', 'it', 'is', 'found', 'that', 'the', 'raman', 'peaks', 'induced', 'by', 'pentagon', 'defects', 'lie', 'out', 'of', 'the', 'gband', 'of', 'the', 'swnts', 'so', 'the', 'highfrequency', 'part', 'of', 'the', 'raman', 'spectra', 'of', 'the', 'swnt', 'imjs', 'can', 'be', 'used', 'to', 'determine', 'experimentally', 'their', 'detailed', 'geometrical', 'structures', 'also', 'the', 'intensity', 'of', 'the', 'raman', 'spectra', 'has', 'a', 'close', 'relation', 'with', 'the', 'number', 'of', 'pentagon', 'defects', 'in', 'the', 'swnt', 'imjs', 'following', 'the', 'descarteseuler', 'polyhedral', 'formula', 'depf', 'the', 'number', 'of', 'heptagon', 'defects', 'in', 'the', 'swnt', 'imjs', 'can', 'also', 'be', 'determined', 'the', 'firstprinciple', 'calculations', 'are', 'also', 'performed', 'verifying', 'the', 'results', 'obtained', 'by', 'the', 'rebo', 'potential', 'the', 'g', 'band', 'width', 'of', 'the', 'swnt', 'imj', 'can', 'reflect', 'the', 'length', 'of', 'its', 'transition', 'region', 'between', 'the', 'pentagon', 'and', 'heptagon', 'rings']] | [-0.09985780160390784, 0.1068643522095171, -0.07084987492041214, -0.015331480380212535, 0.005270253583977494, -0.1025382780906143, 0.08535559101713987, 0.4646570138703984, -0.25842144750530205, -0.25017713123484503, 0.001818554226863139, -0.3099682306033807, -0.14668110504015525, 0.16012750233853637, 0.05104649225246202, 0.04866081323434858, 0.04825528215504947, -0.004306895662794668, -0.015952081229431626, -0.1971635776159318, 0.25085252506180983, 0.06604371018872797, 0.3037083990196992, 0.13184895386766124, -0.03482526948209852, -0.006978669186134504, 0.02915428207798189, 0.03533316697907646, -0.18248652504880278, 0.14548530891726288, 0.21033663355415286, -0.045932580625544055, 0.1669059947672406, -0.47440213038102735, -0.19417803549584256, 0.03491646613847594, 0.1620135723607308, 0.12377583779633351, 0.010741700332823999, -0.26713488882560804, 0.0840308477164871, -0.12096570515297825, -0.14407173535916246, -0.06760190592347821, 0.02140866772012337, 0.05259499688267331, -0.17010214499822712, 0.04929955836029611, 0.006169718664428337, 0.08847579652920794, -0.09351629308127221, -0.15207907697185874, -0.17134656693456293, 0.10514781470528414, 0.03842282058638698, -0.039247256777355376, 0.22022526519655994, -0.05572922803060729, -0.13715629080381198, 0.3927423649090283, -0.051673211803500645, -0.08745652630308472, 0.09864539032524947, -0.14803235518121266, -0.09039854322843065, 0.20291947259249377, 0.03549292401257384, 0.13240663464405114, -0.13881365900647036, 0.06918152584510125, -0.036444481919059836, 0.15745159977224737, 0.15018867075596523, 0.03276308508342297, 0.2065561523062731, 0.13838076109178601, -0.03580983981631602, 0.16753476355048014, -0.14360995508459268, -0.011771964464819979, -0.23441861936516023, -0.140884210271584, -0.1917580381194955, 0.03622534619095364, -0.10610456359740332, -0.18196614884441317, 0.39556347121944346, 0.04662247564160277, 0.15838477385077107, -0.006276262867341078, 0.23001815783909133, 0.14521147965901543, 0.12324105381016631, -0.048209899897934706, 0.3040492717875536, 0.21077114288014348, 0.06909107009856667, -0.30017127076611866, 0.039279635911630584, 0.041039770993675236] |
707.4341 | Matrix Product Steady States as Superposition of Product Shock Measures
in 1D Driven Systems | It is known that exact traveling wave solutions exist for families of
(n+1)-states stochastic one-dimensional non-equilibrium lattice models with
open boundaries provided that some constraints on the reaction rates are
fulfilled. These solutions describe the diffusive motion of a product shock or
a domain wall with the dynamics of a simple biased random walker. The steady
state of these systems can be written in terms of linear superposition of such
shocks or domain walls. These steady states can also be expressed in a matrix
product form. We show that in this case the associated quadratic algebra of the
system has always a two-dimensional representation with a generic structure. A
couple of examples for n=1 and n=2 cases are presented.
| cond-mat.stat-mech | it is known that exact traveling wave solutions exist for families of n1states stochastic onedimensional nonequilibrium lattice models with open boundaries provided that some constraints on the reaction rates are fulfilled these solutions describe the diffusive motion of a product shock or a domain wall with the dynamics of a simple biased random walker the steady state of these systems can be written in terms of linear superposition of such shocks or domain walls these steady states can also be expressed in a matrix product form we show that in this case the associated quadratic algebra of the system has always a twodimensional representation with a generic structure a couple of examples for n1 and n2 cases are presented | [['it', 'is', 'known', 'that', 'exact', 'traveling', 'wave', 'solutions', 'exist', 'for', 'families', 'of', 'n1states', 'stochastic', 'onedimensional', 'nonequilibrium', 'lattice', 'models', 'with', 'open', 'boundaries', 'provided', 'that', 'some', 'constraints', 'on', 'the', 'reaction', 'rates', 'are', 'fulfilled', 'these', 'solutions', 'describe', 'the', 'diffusive', 'motion', 'of', 'a', 'product', 'shock', 'or', 'a', 'domain', 'wall', 'with', 'the', 'dynamics', 'of', 'a', 'simple', 'biased', 'random', 'walker', 'the', 'steady', 'state', 'of', 'these', 'systems', 'can', 'be', 'written', 'in', 'terms', 'of', 'linear', 'superposition', 'of', 'such', 'shocks', 'or', 'domain', 'walls', 'these', 'steady', 'states', 'can', 'also', 'be', 'expressed', 'in', 'a', 'matrix', 'product', 'form', 'we', 'show', 'that', 'in', 'this', 'case', 'the', 'associated', 'quadratic', 'algebra', 'of', 'the', 'system', 'has', 'always', 'a', 'twodimensional', 'representation', 'with', 'a', 'generic', 'structure', 'a', 'couple', 'of', 'examples', 'for', 'n1', 'and', 'n2', 'cases', 'are', 'presented']] | [-0.1680324513433596, 0.1396720463062747, -0.053414573839922846, 0.04371203540556007, -0.039814328206545214, -0.1405709693405651, -0.005826839608913761, 0.3590349133000157, -0.3027636756275986, -0.21026618376184822, 0.15762737197347648, -0.24965088629416363, -0.15283031086437404, 0.18466887383532346, 0.0037987469103566165, 0.041645381378672894, 0.09916446785545134, 0.0566299878064764, -0.05242950783182188, -0.21807782075138984, 0.32010702686226467, -0.058800965677788954, 0.2355192045097129, 0.013048537596428798, 0.09913241739337475, -0.060812702810912694, 0.05655512825775323, 0.06314766968185044, -0.12032917332020342, 0.08979640015493684, 0.23005990066183402, 0.09245213491731655, 0.2141239844850596, -0.46969128436393154, -0.2348839339437121, 0.09075396888498691, 0.17223372571027276, 0.14665191800144137, -0.05145974878924189, -0.27332761401499983, 0.035209376492213965, -0.18499304059798183, -0.16937163427187982, -0.07289254141505808, 0.010061611206333894, 0.07554086024667751, -0.26822473429058585, 0.10191191765810245, 0.08433589593742154, 0.0018873767674726955, -0.08521521316399261, -0.09077891425557151, -0.03392182784233937, 0.0992238804721668, 0.01842586682927874, 0.02204713486337253, 0.09118605397594304, -0.15360789385947826, -0.13957602207122718, 0.3789822047781515, -0.060472818499951925, -0.3072404325860789, 0.2359895035624504, -0.14980028821668445, -0.10467555106941105, 0.12661933085202412, 0.16366087721060898, 0.13156279398254672, -0.14064279473357108, 0.09541238262860688, -0.07827758276033496, 0.11412947794389951, 0.08406930845980612, 0.003547260111545102, 0.19962880024055052, 0.12336399654021203, 0.060966868011746556, 0.16059993648451706, 0.008716639610287591, -0.13203245960965249, -0.3449691533726656, -0.1557515805411563, -0.16731169679146893, 0.09390471107462102, -0.08407551789904404, -0.20940155613283484, 0.4039945500741034, 0.06623900353798043, 0.1677928822888535, 0.03172530660058482, 0.20681808619775763, 0.17614299539571343, 0.011234744290142493, 0.11157437223325467, 0.20281660053765568, 0.11831606351533684, 0.05265436049006185, -0.18835448505607497, 0.04917692032324987, 0.061761380859919016] |
707.4342 | Suzaku Observations of AWM 7 Cluster of Galaxies: Temperature, Abundance
and Bulk Motions | We carried out 3 observations of the cluster of galaxies AWM 7, for the
central region and 20'-east and 20'-west offset regions, with Suzaku.
Temperature and abundance profiles are measured out to 27'~ 570 /h_70 kpc,
which corresponded to ~0.35 r_180. The temperature of the intra-cluster medium
(ICM) slightly decreases from 3.8 keV at the center to 3.4 keV in ~0.35 r_180
region, indicating a flatter profile than those in other nearby clusters.
Abundance ratio of Si to Fe is almost constant in our observation, while Mg to
Fe ratio increases with radius from the cluster center. O to Fe ratio in the
west region shows increase with radius, while that in the east region is almost
flat, though the errors are relatively large. These features suggest that the
enrichment process is significantly different between products of type II
supernovae (O and Mg) and those by type Ia supernovae (Si and Fe). We also
examined positional shift of the central energy of He-like Fe-Ka line, in
search of possible rotation of the ICM. The 90% upper limit for the
line-of-sight velocity difference was derived to be v ~ 2000 km/s, suggesting
that the ellipticity of AWM 7 is rather caused by a recent directional infall
of the gas along the large-scale filament.
| astro-ph | we carried out 3 observations of the cluster of galaxies awm 7 for the central region and 20east and 20west offset regions with suzaku temperature and abundance profiles are measured out to 27 570 h_70 kpc which corresponded to 035 r_180 the temperature of the intracluster medium icm slightly decreases from 38 kev at the center to 34 kev in 035 r_180 region indicating a flatter profile than those in other nearby clusters abundance ratio of si to fe is almost constant in our observation while mg to fe ratio increases with radius from the cluster center o to fe ratio in the west region shows increase with radius while that in the east region is almost flat though the errors are relatively large these features suggest that the enrichment process is significantly different between products of type ii supernovae o and mg and those by type ia supernovae si and fe we also examined positional shift of the central energy of helike feka line in search of possible rotation of the icm the 90 upper limit for the lineofsight velocity difference was derived to be v 2000 kms suggesting that the ellipticity of awm 7 is rather caused by a recent directional infall of the gas along the largescale filament | [['we', 'carried', 'out', '3', 'observations', 'of', 'the', 'cluster', 'of', 'galaxies', 'awm', '7', 'for', 'the', 'central', 'region', 'and', '20east', 'and', '20west', 'offset', 'regions', 'with', 'suzaku', 'temperature', 'and', 'abundance', 'profiles', 'are', 'measured', 'out', 'to', '27', '570', 'h_70', 'kpc', 'which', 'corresponded', 'to', '035', 'r_180', 'the', 'temperature', 'of', 'the', 'intracluster', 'medium', 'icm', 'slightly', 'decreases', 'from', '38', 'kev', 'at', 'the', 'center', 'to', '34', 'kev', 'in', '035', 'r_180', 'region', 'indicating', 'a', 'flatter', 'profile', 'than', 'those', 'in', 'other', 'nearby', 'clusters', 'abundance', 'ratio', 'of', 'si', 'to', 'fe', 'is', 'almost', 'constant', 'in', 'our', 'observation', 'while', 'mg', 'to', 'fe', 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707.4343 | The International Trade Network: weighted network analysis and modelling | Tools of the theory of critical phenomena, namely the scaling analysis and
universality, are argued to be applicable to large complex web-like network
structures. Using a detailed analysis of the real data of the International
Trade Network we argue that the scaled link weight distribution has an
approximate log-normal distribution which remains robust over a period of 53
years. Another universal feature is observed in the power-law growth of the
trade strength with gross domestic product, the exponent being similar for all
countries. Using the 'rich-club' coefficient measure of the weighted networks
it has been shown that the size of the rich-club controlling half of the
world's trade is actually shrinking. While the gravity law is known to describe
well the social interactions in the static networks of population migration,
international trade, etc, here for the first time we studied a non-conservative
dynamical model based on the gravity law which excellently reproduced many
empirical features of the ITN.
| q-fin.GN physics.soc-ph | tools of the theory of critical phenomena namely the scaling analysis and universality are argued to be applicable to large complex weblike network structures using a detailed analysis of the real data of the international trade network we argue that the scaled link weight distribution has an approximate lognormal distribution which remains robust over a period of 53 years another universal feature is observed in the powerlaw growth of the trade strength with gross domestic product the exponent being similar for all countries using the richclub coefficient measure of the weighted networks it has been shown that the size of the richclub controlling half of the worlds trade is actually shrinking while the gravity law is known to describe well the social interactions in the static networks of population migration international trade etc here for the first time we studied a nonconservative dynamical model based on the gravity law which excellently reproduced many empirical features of the itn | [['tools', 'of', 'the', 'theory', 'of', 'critical', 'phenomena', 'namely', 'the', 'scaling', 'analysis', 'and', 'universality', 'are', 'argued', 'to', 'be', 'applicable', 'to', 'large', 'complex', 'weblike', 'network', 'structures', 'using', 'a', 'detailed', 'analysis', 'of', 'the', 'real', 'data', 'of', 'the', 'international', 'trade', 'network', 'we', 'argue', 'that', 'the', 'scaled', 'link', 'weight', 'distribution', 'has', 'an', 'approximate', 'lognormal', 'distribution', 'which', 'remains', 'robust', 'over', 'a', 'period', 'of', '53', 'years', 'another', 'universal', 'feature', 'is', 'observed', 'in', 'the', 'powerlaw', 'growth', 'of', 'the', 'trade', 'strength', 'with', 'gross', 'domestic', 'product', 'the', 'exponent', 'being', 'similar', 'for', 'all', 'countries', 'using', 'the', 'richclub', 'coefficient', 'measure', 'of', 'the', 'weighted', 'networks', 'it', 'has', 'been', 'shown', 'that', 'the', 'size', 'of', 'the', 'richclub', 'controlling', 'half', 'of', 'the', 'worlds', 'trade', 'is', 'actually', 'shrinking', 'while', 'the', 'gravity', 'law', 'is', 'known', 'to', 'describe', 'well', 'the', 'social', 'interactions', 'in', 'the', 'static', 'networks', 'of', 'population', 'migration', 'international', 'trade', 'etc', 'here', 'for', 'the', 'first', 'time', 'we', 'studied', 'a', 'nonconservative', 'dynamical', 'model', 'based', 'on', 'the', 'gravity', 'law', 'which', 'excellently', 'reproduced', 'many', 'empirical', 'features', 'of', 'the', 'itn']] | [-0.12405672144141826, 0.08399768712677289, -0.11902286555828774, 0.11410034857940848, -0.045168465777385765, -0.12751718821620003, 0.04039725694802437, 0.32433254653411103, -0.27788240524138547, -0.29003701913111574, 0.08899193768584039, -0.29480809673572644, -0.1878893273923829, 0.1792617279084258, -0.03757053762497498, 0.05885170806270046, 0.010502408983633865, 0.048180414204591814, 0.0034830475850856, -0.24422486260226822, 0.3238207434401317, 0.09656060617059746, 0.3372506616265761, 0.04930933724346134, 0.08565655394082983, -0.03074852045171576, -0.07265041543217228, 0.04490464407238885, -0.10247934183234399, 0.12859878792792936, 0.228497817867017, 0.12565750597027142, 0.2632910751036215, -0.3941523490615095, -0.2415558441447778, 0.12201968658070045, 0.12701389387462148, 0.04780150681168218, 0.015840410710978498, -0.24513396129006212, 0.05304247614797912, -0.2218637651536552, -0.16009291404374887, -0.060380747473262296, 0.08023979304847602, 0.049040381447412074, -0.2306727238789295, 0.09112779866635823, 0.041633967984920146, 0.07627342163313981, -0.05385172068836946, -0.08314844422761493, -0.041314228132803325, 0.1664121061816953, 0.06838106972981786, -0.011822284547069782, 0.1301982102302622, -0.12441435122355536, -0.1265586234151704, 0.3889896531200296, -0.0487793202687326, -0.13460628444600048, 0.1637066092498341, -0.1665753050607075, -0.14042163394756993, 0.07912173407016723, 0.18736474796734703, 0.05514461053080365, -0.1606466868668323, 0.05976371764746212, -0.07553277811907892, 0.184052457948233, 0.040296769923459784, -0.014307286018576426, 0.17597464276359806, 0.21595814614851452, 0.0567643008444641, 0.0966004169807818, -0.07667321675233071, -0.17315943072007708, -0.23061721990050016, -0.12044374619999641, -0.19936482021747204, 0.047736581360414344, -0.1537957909409969, -0.18331165191746182, 0.3948374005576855, 0.07779581852764174, 0.19355115599199374, 0.08822347838254764, 0.2374750809461067, 0.11086182687519991, 0.1266283630456995, 0.0856196317583016, 0.25309153146676344, 0.10476769159748396, 0.13200351231675478, -0.18747257936857878, 0.14092397809937107, 0.00931723215440406] |
707.4344 | Non-equilibrium fluctuations and mechanochemical couplings of a
molecular motor | We investigate theoretically the violations of Einstein and Onsager
relations, and the efficiency for a single processive motor operating far from
equilibrium using an extension of the two-state model introduced by Kafri {\em
et al.} [Biophys. J. {\bf 86}, 3373 (2004)]. With the aid of the Fluctuation
Theorem, we analyze the general features of these violations and this
efficiency and link them to mechanochemical couplings of motors. In particular,
an analysis of the experimental data of kinesin using our framework leads to
interesting predictions that may serve as a guide for future experiments.
| cond-mat.soft cond-mat.stat-mech | we investigate theoretically the violations of einstein and onsager relations and the efficiency for a single processive motor operating far from equilibrium using an extension of the twostate model introduced by kafri em et al biophys j bf 86 3373 2004 with the aid of the fluctuation theorem we analyze the general features of these violations and this efficiency and link them to mechanochemical couplings of motors in particular an analysis of the experimental data of kinesin using our framework leads to interesting predictions that may serve as a guide for future experiments | [['we', 'investigate', 'theoretically', 'the', 'violations', 'of', 'einstein', 'and', 'onsager', 'relations', 'and', 'the', 'efficiency', 'for', 'a', 'single', 'processive', 'motor', 'operating', 'far', 'from', 'equilibrium', 'using', 'an', 'extension', 'of', 'the', 'twostate', 'model', 'introduced', 'by', 'kafri', 'em', 'et', 'al', 'biophys', 'j', 'bf', '86', '3373', '2004', 'with', 'the', 'aid', 'of', 'the', 'fluctuation', 'theorem', 'we', 'analyze', 'the', 'general', 'features', 'of', 'these', 'violations', 'and', 'this', 'efficiency', 'and', 'link', 'them', 'to', 'mechanochemical', 'couplings', 'of', 'motors', 'in', 'particular', 'an', 'analysis', 'of', 'the', 'experimental', 'data', 'of', 'kinesin', 'using', 'our', 'framework', 'leads', 'to', 'interesting', 'predictions', 'that', 'may', 'serve', 'as', 'a', 'guide', 'for', 'future', 'experiments']] | [-0.10669437046312998, 0.07222709656468973, -0.06634830656431374, 0.029388728655464148, -0.07002931991491908, -0.12907482764773792, 0.1260239966676861, 0.3208165837311617, -0.22836902584399907, -0.33440866196147534, 0.03905365313027775, -0.2543699435529209, -0.18597382050187838, 0.2039027934898973, -0.046495036129409105, 0.0538325194915336, 0.0395718514919281, -0.028930500700509034, 0.019256187194798102, -0.18839049687538978, 0.210685813914664, 0.14119242119943343, 0.302761902911551, 0.052421352505603785, 0.10213072553542392, 0.03225181345897977, -0.020247306399327772, 0.03103876402801884, -0.1759016941031923, 0.12916734120157616, 0.21272096576129076, 0.11857133344697054, 0.2153669577943141, -0.43017005442731804, -0.2010645837152517, 0.08258514565926406, 0.08174384930121001, 0.11754845137337364, -0.011941287906900529, -0.3113197681484043, 0.052304209452197555, -0.19505467545241117, -0.10768298477294945, -0.11620817440612022, 0.038126203451826365, 0.06903279950261436, -0.29079820724424493, 0.08728444888957486, 0.09510676228311113, 0.08355393012364705, -0.032186931835347286, -0.0852353705220946, -0.012086185468961634, 0.10135205351917814, 0.013824240803988952, 0.013695366455302123, 0.14435341618504496, -0.1145996635714646, -0.1874049161686011, 0.3682343483131419, -0.0737744490365668, -0.1587341902477126, 0.21537533294539699, -0.050704576838661426, -0.15017110708680365, 0.041083272406330675, 0.13658948604177723, 0.10105834827227618, -0.1729949814698068, 0.059385856328111504, -0.07567791414437114, 0.10551656403839188, 0.06011706840757641, -0.00776162584780425, 0.19586561702352057, 0.15738186451746652, -0.02479054611576821, 0.14050210188193027, -0.097737939858381, -0.11090904427504528, -0.32151637052596416, -0.16769777784394402, -0.1376268080803716, 0.0524756684961919, -0.051728318539893715, -0.05682530009778597, 0.3681811872789616, 0.18647443066145825, 0.19751299779000941, 0.05781661125960239, 0.2142006962094456, 0.07905276595885234, 0.03046629021084437, 0.07274976195967807, 0.28606615466896884, 0.14307953104106408, 0.11432331409906188, -0.25171118947396914, 0.033446563452842734, 0.033396074227908606] |
707.4345 | Alfven Wave-Driven Supernova Explosion | We investigate the role of Alfven waves in the core-collapse supernova (SN)
explosion. We assume that Alfven waves are generated by convections inside a
proto-neutron star (PNS) and emitted from its surface. Then these waves
propagate outwards, dissipate via nonlinear processes, and heat up matter
around a stalled prompt shock. To quantitatively assess the importance of this
process for the revival of the stalled shock, we perform 1D time-dependent
hydrodynamical simulations, taking into account the heating via the dissipation
of Alfven waves that propagate radially outwards along open flux tubes. We show
that the shock revival occurs if the surface field strength is larger than
~2e15 G and if the amplitude of velocity fluctuation at the PNS surface is
larger than 20% of the local sound speed. Interestingly, the Alfven wave
mechanism is self-regulating in the sense that the explosion energy is not very
sensitive to the surface field strength and initial amplitude of Alfven waves
as long as they are larger than the threshold values given above.
| astro-ph | we investigate the role of alfven waves in the corecollapse supernova sn explosion we assume that alfven waves are generated by convections inside a protoneutron star pns and emitted from its surface then these waves propagate outwards dissipate via nonlinear processes and heat up matter around a stalled prompt shock to quantitatively assess the importance of this process for the revival of the stalled shock we perform 1d timedependent hydrodynamical simulations taking into account the heating via the dissipation of alfven waves that propagate radially outwards along open flux tubes we show that the shock revival occurs if the surface field strength is larger than 2e15 g and if the amplitude of velocity fluctuation at the pns surface is larger than 20 of the local sound speed interestingly the alfven wave mechanism is selfregulating in the sense that the explosion energy is not very sensitive to the surface field strength and initial amplitude of alfven waves as long as they are larger than the threshold values given above | [['we', 'investigate', 'the', 'role', 'of', 'alfven', 'waves', 'in', 'the', 'corecollapse', 'supernova', 'sn', 'explosion', 'we', 'assume', 'that', 'alfven', 'waves', 'are', 'generated', 'by', 'convections', 'inside', 'a', 'protoneutron', 'star', 'pns', 'and', 'emitted', 'from', 'its', 'surface', 'then', 'these', 'waves', 'propagate', 'outwards', 'dissipate', 'via', 'nonlinear', 'processes', 'and', 'heat', 'up', 'matter', 'around', 'a', 'stalled', 'prompt', 'shock', 'to', 'quantitatively', 'assess', 'the', 'importance', 'of', 'this', 'process', 'for', 'the', 'revival', 'of', 'the', 'stalled', 'shock', 'we', 'perform', '1d', 'timedependent', 'hydrodynamical', 'simulations', 'taking', 'into', 'account', 'the', 'heating', 'via', 'the', 'dissipation', 'of', 'alfven', 'waves', 'that', 'propagate', 'radially', 'outwards', 'along', 'open', 'flux', 'tubes', 'we', 'show', 'that', 'the', 'shock', 'revival', 'occurs', 'if', 'the', 'surface', 'field', 'strength', 'is', 'larger', 'than', '2e15', 'g', 'and', 'if', 'the', 'amplitude', 'of', 'velocity', 'fluctuation', 'at', 'the', 'pns', 'surface', 'is', 'larger', 'than', '20', 'of', 'the', 'local', 'sound', 'speed', 'interestingly', 'the', 'alfven', 'wave', 'mechanism', 'is', 'selfregulating', 'in', 'the', 'sense', 'that', 'the', 'explosion', 'energy', 'is', 'not', 'very', 'sensitive', 'to', 'the', 'surface', 'field', 'strength', 'and', 'initial', 'amplitude', 'of', 'alfven', 'waves', 'as', 'long', 'as', 'they', 'are', 'larger', 'than', 'the', 'threshold', 'values', 'given', 'above']] | [-0.1506353752116584, 0.26171394223014693, -0.026062758201511486, 0.12610018892386116, -0.10571086193279673, -0.03598188272666275, -0.0004576915068485375, 0.359919294160569, -0.2625976879859254, -0.25637613060063724, 0.061353761021607736, -0.27170077957479016, -0.05226805976348087, 0.24039631695597477, 0.08012626386092354, -0.03621728262693241, 0.11252651140481855, 0.004053997761470133, -0.04317983978087016, -0.15786402394241167, 0.2984547550094292, 0.09857686061600578, 0.22201191302571846, 0.040470054046073484, 0.07425150939144216, -0.09895077379492466, 0.018465469233758216, -0.018263894878882206, -0.17091453049995056, -0.017067778212506147, 0.15693626685840303, 0.12267986040318474, 0.2595555359411741, -0.529387529712126, -0.3200234903155693, 0.06475161800959281, 0.2143468763679266, 0.1332313198197101, -0.01601217310997613, -0.2696502643493226, 0.07067463351857095, -0.16394647482194982, -0.1541400946222157, 0.07282582577317953, 0.08099884800252594, 0.07140617150469639, -0.2147190428499709, 0.1624740788101917, 0.06647562609231543, 0.0005539906047661567, -0.07383663320035252, -0.015533110719323824, -0.14311660194653086, 0.031641109021230865, 0.1090814943584389, 0.08530578350439014, 0.1937295624395899, -0.15622963390030367, 0.02825350152644595, 0.3986667091403866, -0.08512475178291165, -0.11162157069165482, 0.17926917684408614, -0.2275949683971703, -0.0009931466913604666, 0.23972007782486754, 0.19939723953471652, 0.08129241113229432, -0.04809543417858159, -0.04298981380720977, 0.0019551321568412406, 0.13081470134715173, 0.1366123136166217, 0.003405251248382445, 0.2906393719465649, 0.16064737429371148, 0.03357483197413828, 0.10504857363689336, -0.1511110975351628, -0.01763885499150049, -0.30750730629716555, -0.10502981556263487, -0.13331321450892747, 0.06137771063333189, -0.08145682098187362, -0.14810847102420494, 0.39193800328731804, 0.1748594334792523, 0.1267522545919443, 0.0036594769473941554, 0.2757667725174023, 0.15993005477884298, 0.038470835133921355, 0.19696894770355097, 0.3311663889326155, 0.2172618101619827, 0.11988224724440702, -0.265002968489647, 0.05117435823471862, 0.04468356704178621] |
707.4346 | Effect of Protonation on the electronic properties of DNA base pairs:
Applications for molecular electronics | Protonation of DNA basepairs is a reversible phenomenon which can be
controlled by tuning the pH of the system. Under mild acidic conditions, the
hydrogen bonding pattern of the DNA basepairs undergoes a change. We study the
effect of protonation on the electronic properties of the DNA basepairs to
probe for possible molecular electronics applications. We find that, under mild
acidic pH conditions, the A:T basepair shows excellent rectification behaviour
which is, however, absent in the G:C basepair. The mechanism of rectification
has been discussed using a simple chemical potential model. We also consider
the non-canonical A:A basepair and find that it can be used as efficient pH
dependent molecular switch. The switching action in A:A basepair is explained
in the light of pi-pi interactions which lead to efficient delocalization over
the entire basepair.
| cond-mat.mtrl-sci | protonation of dna basepairs is a reversible phenomenon which can be controlled by tuning the ph of the system under mild acidic conditions the hydrogen bonding pattern of the dna basepairs undergoes a change we study the effect of protonation on the electronic properties of the dna basepairs to probe for possible molecular electronics applications we find that under mild acidic ph conditions the at basepair shows excellent rectification behaviour which is however absent in the gc basepair the mechanism of rectification has been discussed using a simple chemical potential model we also consider the noncanonical aa basepair and find that it can be used as efficient ph dependent molecular switch the switching action in aa basepair is explained in the light of pipi interactions which lead to efficient delocalization over the entire basepair | [['protonation', 'of', 'dna', 'basepairs', 'is', 'a', 'reversible', 'phenomenon', 'which', 'can', 'be', 'controlled', 'by', 'tuning', 'the', 'ph', 'of', 'the', 'system', 'under', 'mild', 'acidic', 'conditions', 'the', 'hydrogen', 'bonding', 'pattern', 'of', 'the', 'dna', 'basepairs', 'undergoes', 'a', 'change', 'we', 'study', 'the', 'effect', 'of', 'protonation', 'on', 'the', 'electronic', 'properties', 'of', 'the', 'dna', 'basepairs', 'to', 'probe', 'for', 'possible', 'molecular', 'electronics', 'applications', 'we', 'find', 'that', 'under', 'mild', 'acidic', 'ph', 'conditions', 'the', 'at', 'basepair', 'shows', 'excellent', 'rectification', 'behaviour', 'which', 'is', 'however', 'absent', 'in', 'the', 'gc', 'basepair', 'the', 'mechanism', 'of', 'rectification', 'has', 'been', 'discussed', 'using', 'a', 'simple', 'chemical', 'potential', 'model', 'we', 'also', 'consider', 'the', 'noncanonical', 'aa', 'basepair', 'and', 'find', 'that', 'it', 'can', 'be', 'used', 'as', 'efficient', 'ph', 'dependent', 'molecular', 'switch', 'the', 'switching', 'action', 'in', 'aa', 'basepair', 'is', 'explained', 'in', 'the', 'light', 'of', 'pipi', 'interactions', 'which', 'lead', 'to', 'efficient', 'delocalization', 'over', 'the', 'entire', 'basepair']] | [-0.159199895007091, 0.15184480887351195, -0.07551412188157842, 0.05759097573107609, 0.026103725910548176, -0.16858294056102968, 0.07698219192714723, 0.43917897921889576, -0.29009626393289817, -0.24539997368884175, 0.005042918979489147, -0.2086362357862961, -0.16770477883983403, 0.16075120039402382, 0.0038230021817804273, -0.03222274752472764, 0.08796567763827408, 0.006502816173831807, -0.02111407096624555, -0.18180953442126013, 0.197532584633567, 0.0780491594239503, 0.2741462214113171, 0.12822605729183015, 0.08772305809239399, -0.02048707606190331, 0.08620670926409649, -0.018618858567918582, -0.15851448903109186, 0.08661908278269555, 0.22406775454135694, 0.011952413817686932, 0.19599492231092014, -0.4442210320327709, -0.21528352534662543, 0.07432720949178312, 0.13100281645502174, 0.16507538646518655, -0.05240179240137144, -0.21809073867026105, 0.11374841292854398, -0.1297600618216084, -0.10940912213009685, -0.03580558660384545, 0.023954453335557162, 0.08185717412843994, -0.2696695821290252, 0.1174977931466367, 0.020257521983680884, 0.10745469582920421, -0.0640380908509216, -0.09907199282098367, -0.09877618094697706, 0.10401026620103894, 0.05789332995677728, 0.016019636395025943, 0.2840894407787318, -0.10350229679745858, -0.06117244335516954, 0.41659755965715634, -0.06966683387568694, -0.14177170588229626, 0.20376587512819513, -0.08778227070075419, -0.14423323399039792, 0.18184540855503684, 0.07305620777691756, 0.09115881122885022, -0.2118220629948956, 0.08420883282044304, 0.013498400980884681, 0.2036597329789578, 0.12787594044157094, 0.020718084738603725, 0.19891573565164164, 0.20928427230900348, 0.05306906098110685, 0.17278560262117812, -0.09270503413133713, -0.1018930838461583, -0.24233777007546775, -0.1545903851389329, -0.122102033557134, 0.08029051692878354, -0.06823518446204861, -0.16370126955669873, 0.41389821479644334, 0.11140481071588375, 0.18826708186820929, -0.04465586818327238, 0.19702538967118668, 0.08667472521027328, 0.09295667153296631, -0.059050863441913876, 0.20438497724122742, 0.0958277821391404, 0.08164553084226547, -0.3344541776668169, 0.15011039949995256, -0.00582282947647427] |
707.4347 | The International Trade Network | Bilateral trade relationships in the international level between pairs of
countries in the world give rise to the notion of the International Trade
Network (ITN). This network has attracted the attention of network researchers
as it serves as an excellent example of the weighted networks, the link weight
being defined as a measure of the volume of trade between two countries. In
this paper we analyzed the international trade data for 53 years and studied in
detail the variations of different network related quantities associated with
the ITN. Our observation is that the ITN has also a scale invariant structure
like many other real-world networks.
| q-fin.GN physics.soc-ph | bilateral trade relationships in the international level between pairs of countries in the world give rise to the notion of the international trade network itn this network has attracted the attention of network researchers as it serves as an excellent example of the weighted networks the link weight being defined as a measure of the volume of trade between two countries in this paper we analyzed the international trade data for 53 years and studied in detail the variations of different network related quantities associated with the itn our observation is that the itn has also a scale invariant structure like many other realworld networks | [['bilateral', 'trade', 'relationships', 'in', 'the', 'international', 'level', 'between', 'pairs', 'of', 'countries', 'in', 'the', 'world', 'give', 'rise', 'to', 'the', 'notion', 'of', 'the', 'international', 'trade', 'network', 'itn', 'this', 'network', 'has', 'attracted', 'the', 'attention', 'of', 'network', 'researchers', 'as', 'it', 'serves', 'as', 'an', 'excellent', 'example', 'of', 'the', 'weighted', 'networks', 'the', 'link', 'weight', 'being', 'defined', 'as', 'a', 'measure', 'of', 'the', 'volume', 'of', 'trade', 'between', 'two', 'countries', 'in', 'this', 'paper', 'we', 'analyzed', 'the', 'international', 'trade', 'data', 'for', '53', 'years', 'and', 'studied', 'in', 'detail', 'the', 'variations', 'of', 'different', 'network', 'related', 'quantities', 'associated', 'with', 'the', 'itn', 'our', 'observation', 'is', 'that', 'the', 'itn', 'has', 'also', 'a', 'scale', 'invariant', 'structure', 'like', 'many', 'other', 'realworld', 'networks']] | [-0.1261259871401957, 0.04324824938098789, -0.06031362907517524, 0.11047312355755518, -0.03970263752908934, -0.09995949489668765, 0.05081732750404626, 0.37898520178028516, -0.2879738483489269, -0.3150999952285063, 0.10321983160184962, -0.3340172242550623, -0.22762770763864473, 0.16707374263288718, -0.08699681208069836, 0.02087589420732998, 0.060698029048563466, 0.07392272724814358, -0.018992842873142634, -0.2747049526422329, 0.32438266892762235, 0.12680453063387956, 0.3514293324911878, 0.06470745737176566, 0.10828196108452089, -0.03268333227772798, -0.1004405991479178, 0.029699048060103365, -0.0773074359880411, 0.20642324436367268, 0.3183042719782818, 0.15059947880494984, 0.3204960886233797, -0.4271275955474093, -0.1883851328953391, 0.157396581210196, 0.06921630612175379, 0.008037682108226276, 0.03829867561746921, -0.2792673910036683, -0.004166992026425544, -0.25622855926021226, -0.08650011122670202, -0.040293161396957225, 0.06549825372085685, 0.03416635252180553, -0.18064532660313748, 0.021160434321444925, 0.008661882532760502, 0.09998745805628242, -0.00609126645916452, -0.07757413816150455, -0.06832199770779837, 0.22472810730160703, 0.09407901015975291, 0.007375460443186706, 0.08669076759279484, -0.13547765032521317, -0.166766142499234, 0.38187487899724926, -0.046844189569708844, -0.14818499521130607, 0.16947120080391567, -0.10212910607279767, -0.1657441425270268, 0.034852700021916205, 0.24444658073729703, -0.0009048171319244873, -0.15595114371306928, 0.05847228524618826, -0.11867275298351333, 0.12731340424756388, 0.09134019030080665, 0.03816334174591161, 0.16842796725354026, 0.24586134093503156, 0.09774656010115342, 0.14231483661167746, -0.093838536629032, -0.15375367834986675, -0.22211938872046413, -0.12303494602896362, -0.13849287488542142, -0.0069981094671502, -0.11221708903252701, -0.15964713841676711, 0.42508333598574005, 0.0911231730576782, 0.21669801841711714, 0.052343659785886607, 0.23060007309984593, 0.03340535197806146, 0.1161894662006359, 0.06439074085847962, 0.2255436247081629, 0.08911839952426297, 0.18785457227911267, -0.14606930123464693, 0.1189813444471275, 0.006777499687103998] |
707.4348 | Gap function symmetry and spin dynamics in electron-doped cuprate
superconductor | An antiferromagnetic (AF) spin fluctuation induced pairing model is proposed
for the electron-doped cuprate superconductors. It suggests that, similar to
the hole-doped side, the superconducting gap function is monotonic
d_{x^2-y^2}-wave and explains why the observed gap function has a nonmonotonic
d_{x^2-y^2}-wave behavior when an AF order is taken into account. Dynamical
spin susceptibility is calculated and shown to be in good agreement with the
experiment. This gives a strong support to the proposed model.
| cond-mat.supr-con cond-mat.str-el | an antiferromagnetic af spin fluctuation induced pairing model is proposed for the electrondoped cuprate superconductors it suggests that similar to the holedoped side the superconducting gap function is monotonic d_x2y2wave and explains why the observed gap function has a nonmonotonic d_x2y2wave behavior when an af order is taken into account dynamical spin susceptibility is calculated and shown to be in good agreement with the experiment this gives a strong support to the proposed model | [['an', 'antiferromagnetic', 'af', 'spin', 'fluctuation', 'induced', 'pairing', 'model', 'is', 'proposed', 'for', 'the', 'electrondoped', 'cuprate', 'superconductors', 'it', 'suggests', 'that', 'similar', 'to', 'the', 'holedoped', 'side', 'the', 'superconducting', 'gap', 'function', 'is', 'monotonic', 'd_x2y2wave', 'and', 'explains', 'why', 'the', 'observed', 'gap', 'function', 'has', 'a', 'nonmonotonic', 'd_x2y2wave', 'behavior', 'when', 'an', 'af', 'order', 'is', 'taken', 'into', 'account', 'dynamical', 'spin', 'susceptibility', 'is', 'calculated', 'and', 'shown', 'to', 'be', 'in', 'good', 'agreement', 'with', 'the', 'experiment', 'this', 'gives', 'a', 'strong', 'support', 'to', 'the', 'proposed', 'model']] | [-0.2124717787546861, 0.1430567938026601, -0.11385137748879355, 0.13453614034507475, -0.10068195091711508, -0.18862827354570147, 0.04960825674336504, 0.3762187577683378, -0.23109913421039646, -0.22103442312092395, -0.07090042259172864, -0.35143081103829116, -0.1449318225117954, 0.16155000665929872, 0.01931887472400794, 0.0012260316053053011, -0.06968350032646511, 0.025802884565515292, -0.15197098627371863, -0.24408194020931684, 0.2807633558577682, 0.031751970320033865, 0.38328766858054175, 0.1162116003436716, 0.02731919975800289, 0.028171484685830167, 0.1769809304056941, 0.05166817610655483, -0.14878376499433904, 0.004025028544994122, 0.32842342147754655, -0.08344202719446323, 0.17381628220145767, -0.37089677764153156, -0.2586095883460665, 0.029396667925489915, 0.14608014867062102, 0.11512392739186415, -0.04458692272168559, -0.2769683200513592, 0.0935015639642606, -0.20715820253197406, -0.10928765125651341, -0.10933293304657815, -0.03587974416645798, -0.0764249756560988, -0.30147303374031104, 0.10413360495648875, 0.12380358134199727, 0.05494022278769596, -0.11591184842777816, -0.13746065297793295, -0.05748963174158456, 0.0343394981546963, 0.12752122157316254, 0.1570727888469559, 0.04251396152933405, -0.07562013818391573, -0.08487334187658555, 0.30518663605373053, -0.031096780364326126, -0.06227103432615262, 0.14415117481572404, -0.17842481217372255, -0.040611240723346535, 0.13625545112567172, 0.01892339246272034, -0.006769757849994946, -0.12616952195723471, 0.052399278264429826, -0.0644225212304878, 0.2592924206259635, -0.04796288035356918, 0.06057800469529497, 0.2571983218847497, 0.24530844338477362, 0.05958185344305191, 0.1539675348951179, -0.07683949805229802, -0.11637526430894395, -0.2175946506998829, -0.1322427594379799, -0.21918525126435467, -0.0049918935023801955, -0.042564271904789286, -0.1560133881627022, 0.38833828891526806, 0.18543100037385482, 0.23822608004903068, -0.063405051427843, 0.2273284860106336, 0.1914220213027973, 0.10169956454774365, 0.057554382289684305, 0.2606892075540649, 0.16873216586867096, 0.11403842484326782, -0.35459317760290326, 0.15456394539088816, 0.0047418353001498995] |
707.4349 | Holomorphic Motions, Fatou Linearization, and Quasiconformal Rigidity
for Parabolic Germs | By applying holomorphic motions, we prove that a parabolic germ is
quasiconformally rigid, that is, any two topologically conjugate parabolic
germs are quasiconformally conjugate and the conjugacy can be chosen to be more
and more near conformal as long as we consider these germs defined on smaller
and smaller neighborhoods. Before proving this theorem, we use the idea of
holomorphic motions to give a conceptual proof of the Fatou linearization
theorem. As a by-product, we also prove that any finite number of analytic
germs at different points in the Riemann sphere can be extended to a
quasiconformal homeomorphism which can be more and more near conformal as as
long as we consider these germs defined on smaller and smaller neighborhoods of
these points.
| math.DS math.CV | by applying holomorphic motions we prove that a parabolic germ is quasiconformally rigid that is any two topologically conjugate parabolic germs are quasiconformally conjugate and the conjugacy can be chosen to be more and more near conformal as long as we consider these germs defined on smaller and smaller neighborhoods before proving this theorem we use the idea of holomorphic motions to give a conceptual proof of the fatou linearization theorem as a byproduct we also prove that any finite number of analytic germs at different points in the riemann sphere can be extended to a quasiconformal homeomorphism which can be more and more near conformal as as long as we consider these germs defined on smaller and smaller neighborhoods of these points | [['by', 'applying', 'holomorphic', 'motions', 'we', 'prove', 'that', 'a', 'parabolic', 'germ', 'is', 'quasiconformally', 'rigid', 'that', 'is', 'any', 'two', 'topologically', 'conjugate', 'parabolic', 'germs', 'are', 'quasiconformally', 'conjugate', 'and', 'the', 'conjugacy', 'can', 'be', 'chosen', 'to', 'be', 'more', 'and', 'more', 'near', 'conformal', 'as', 'long', 'as', 'we', 'consider', 'these', 'germs', 'defined', 'on', 'smaller', 'and', 'smaller', 'neighborhoods', 'before', 'proving', 'this', 'theorem', 'we', 'use', 'the', 'idea', 'of', 'holomorphic', 'motions', 'to', 'give', 'a', 'conceptual', 'proof', 'of', 'the', 'fatou', 'linearization', 'theorem', 'as', 'a', 'byproduct', 'we', 'also', 'prove', 'that', 'any', 'finite', 'number', 'of', 'analytic', 'germs', 'at', 'different', 'points', 'in', 'the', 'riemann', 'sphere', 'can', 'be', 'extended', 'to', 'a', 'quasiconformal', 'homeomorphism', 'which', 'can', 'be', 'more', 'and', 'more', 'near', 'conformal', 'as', 'as', 'long', 'as', 'we', 'consider', 'these', 'germs', 'defined', 'on', 'smaller', 'and', 'smaller', 'neighborhoods', 'of', 'these', 'points']] | [-0.1696880202005973, 0.09410042436111991, -0.12312036625874358, 0.08154007681641667, -0.12438304489099883, -0.1445304963631722, -0.015049245973246368, 0.3679420021249027, -0.2963926878462477, -0.1730949379412866, 0.11594777960780765, -0.2548097535604384, -0.15255808651189856, 0.23970908317260625, -0.11507262062372231, 0.04231631824731585, 0.01914835530446797, 0.04043158161079102, -0.1134918824167604, -0.23484858702792505, 0.3881534338073154, -0.08045247363729205, 0.14853895654451343, 0.06620139652878289, 0.08359142374228383, -0.030894557218544366, 0.02061063585787769, 0.03577578911270068, -0.13243416598253852, 0.08716614874140398, 0.3054665907066527, 0.06495801551689628, 0.2888186816883281, -0.4142596109550658, -0.1613678602251883, 0.20906281855896236, 0.18465412712118368, 0.024536623599621037, 0.009603611053047112, -0.3157304978921888, 0.1610666283300313, -0.09017382418297655, -0.21781418653114176, -0.12442447147445708, 0.022160359840022355, 0.03143665405005459, -0.18198456177563688, 0.00294854328754676, 0.14474837854504585, 0.11965496501150896, -0.04940854427518278, -0.04739128834117446, -0.12911696613925258, 0.0855221047096439, 0.03625713490381292, 0.11010600703700286, 0.1549088956241125, -0.011920426061710085, -0.08299452969728689, 0.36548358972782524, -0.07454688267827761, -0.2981726535088648, 0.19147506631850228, -0.14501473774406604, -0.14701510937430146, 0.09799896443747287, 0.15035164645471708, 0.17904849583661653, -0.09716391870449108, 0.09663928503585162, -0.11429414790638578, 0.071350322313213, 0.1575465898816966, -0.02137589543618686, 0.1778430738675643, 0.07878016161058492, 0.1686809989661584, 0.15635054717143257, -0.0018582204621800079, -0.043487521645620586, -0.37950849442220314, -0.1851255025599167, -0.14924485146965286, 0.1516197466202046, -0.12688924071160845, -0.21832515333393, 0.3769044181922587, 0.09141589531072082, 0.2495339747548588, 0.14798112258379445, 0.24476282745675465, 0.10758559958729136, 0.09397626384464282, 0.1119579046683545, 0.1757563623349841, 0.12037038916865803, -0.06994063475896127, -0.09507560969625668, -0.013148433907426954, 0.2002378394675812] |
707.435 | Flexural phonons in free-standing graphene | Rotation and reflection symmetries impose that out-of-plane (flexural)
phonons of free-standing graphene membranes have a quadratic dispersion at long
wavelength and can be excited by charge carriers in pairs only. As a result, we
find that flexural phonons dominate the phonon contribution to the resistivity
$\rho$ below a crossover temperature T_x where we obtain an anomalous
temperature dependence $\rho\propto T^{5/2}_{}\ln T$. The logarithmic factor
arises from renormalizations of the flexural phonon dispersion due to coupling
between bending and stretching degrees of freedom of the membrane.
| cond-mat.mes-hall | rotation and reflection symmetries impose that outofplane flexural phonons of freestanding graphene membranes have a quadratic dispersion at long wavelength and can be excited by charge carriers in pairs only as a result we find that flexural phonons dominate the phonon contribution to the resistivity rho below a crossover temperature t_x where we obtain an anomalous temperature dependence rhopropto t52_ln t the logarithmic factor arises from renormalizations of the flexural phonon dispersion due to coupling between bending and stretching degrees of freedom of the membrane | [['rotation', 'and', 'reflection', 'symmetries', 'impose', 'that', 'outofplane', 'flexural', 'phonons', 'of', 'freestanding', 'graphene', 'membranes', 'have', 'a', 'quadratic', 'dispersion', 'at', 'long', 'wavelength', 'and', 'can', 'be', 'excited', 'by', 'charge', 'carriers', 'in', 'pairs', 'only', 'as', 'a', 'result', 'we', 'find', 'that', 'flexural', 'phonons', 'dominate', 'the', 'phonon', 'contribution', 'to', 'the', 'resistivity', 'rho', 'below', 'a', 'crossover', 'temperature', 't_x', 'where', 'we', 'obtain', 'an', 'anomalous', 'temperature', 'dependence', 'rhopropto', 't52_ln', 't', 'the', 'logarithmic', 'factor', 'arises', 'from', 'renormalizations', 'of', 'the', 'flexural', 'phonon', 'dispersion', 'due', 'to', 'coupling', 'between', 'bending', 'and', 'stretching', 'degrees', 'of', 'freedom', 'of', 'the', 'membrane']] | [-0.1871026417661813, 0.287450676402971, -0.07373492568565, -0.028959570108868536, -0.09262103238697386, -0.14971876209823504, 0.08457348768916702, 0.38580922560677644, -0.32205594474050614, -0.2223046354040326, -0.05352225601035614, -0.3424962005533633, -0.10514300141117669, 0.1595906560154011, 0.051047530224812884, -0.023258445512813825, -0.06167133599159397, -0.0695840395166583, -0.0258539991198285, -0.1406202907840322, 0.2355322377822761, 0.023714786716958598, 0.32355437204906984, 0.14788561760048782, 0.07289534558852513, 0.010598392214714772, 0.11293800747288125, -0.003955878139961334, -0.18593576691931785, 0.013010476505206455, 0.25413075284588904, -0.20306200650520623, 0.19819469899050005, -0.3983866505967897, -0.21764483224112718, -0.003238174022131023, 0.1620757646873937, 0.17430308203412487, 0.02821583187739764, -0.18720368748264654, -0.014036492858957942, -0.11397206253501022, -0.16750218529098979, -0.07447225904269587, 0.04633294601392533, -0.05058916632108213, -0.21017853927887267, 0.22919887646761103, 0.08169884920962864, 0.08671765786129981, -0.08631234675911921, -0.1143612583677861, -0.13544207362879424, 0.07170163095551765, 0.17201538726554386, 0.027217884367841873, 0.2411691281345806, -0.09589449076503072, -0.043430330797231624, 0.3894378055951425, -0.10226811832260518, -0.1261534324509003, 0.1402750797846931, -0.17220139071079238, -0.016980413591400498, 0.202681135031439, 0.1558601499446446, 0.039412824087776244, -0.11946575608592302, 0.09437989909548335, 0.014447618120660385, 0.21813680058056933, 0.17892236295821412, 0.11937977569288619, 0.2332968488002994, 0.11434355596291079, 0.04259432342535417, 0.12232405482652775, -0.10200924220095788, 0.0638735342072323, -0.29413404116140945, -0.12752883013759164, -0.19609862740062886, 0.11360088110918046, -0.1164959354370824, -0.19082960800179058, 0.35895086186272757, 0.0758353936447141, 0.20468322148857018, 0.05610150792857721, 0.23262112775063587, 0.15562713006303447, 0.1371053762323711, 0.08255624215650771, 0.3078603775024281, 0.23479563156918934, 0.04337665435464476, -0.3659596926383009, -0.03641814144239539, 3.8856568391479196e-05] |
707.4351 | The quantum challenge on mesoscopic level | Most experts reject the quantum potential introduced by David Bohm in 1952.
But it is impossible to describe some quantum mesoscopic phenomena observed in
superconductor nanostructures without a quantum force.
| cond-mat.supr-con cond-mat.mes-hall | most experts reject the quantum potential introduced by david bohm in 1952 but it is impossible to describe some quantum mesoscopic phenomena observed in superconductor nanostructures without a quantum force | [['most', 'experts', 'reject', 'the', 'quantum', 'potential', 'introduced', 'by', 'david', 'bohm', 'in', '1952', 'but', 'it', 'is', 'impossible', 'to', 'describe', 'some', 'quantum', 'mesoscopic', 'phenomena', 'observed', 'in', 'superconductor', 'nanostructures', 'without', 'a', 'quantum', 'force']] | [-0.0986807098534579, 0.23630064353346825, -0.1358007412403822, 0.14833721393176044, -0.13755855665852626, -0.29527812542704246, 0.05942408374976367, 0.26881686905398966, -0.21660364703663315, -0.27804771047085525, -0.07676401716501763, -0.3158925596935054, -0.1923339574597776, 0.23213985031470658, -0.11302164342875282, 0.1125180791791839, -0.024533870412657657, -0.01273291300361355, 0.0603433050836126, -0.32079982898042847, 0.24709870253379146, 0.05339569980666662, 0.2833980888128281, 0.07595721813850105, 0.0639255607345452, 0.008102734138568242, 0.0563068599284937, 0.02692515499268969, -0.14445606864367921, 0.010515445874383052, 0.31869467654420686, 0.01984945870935917, 0.29894517213106153, -0.5002025298153361, -0.2952869630108277, 0.07511647694433729, 0.036934590774277846, 0.1825014672552546, -0.05228468632946412, -0.3676073526032269, 0.05339769401277105, -0.12934145197893182, -0.16563647049479185, -0.09611990451812744, 0.04600442995627721, -0.10121082371721665, -0.1131095208072414, 0.045403813508649665, 0.10278806512554486, 0.08678191105524699, 0.03501008409075439, -0.01245242233077685, 0.1146836781874299, 0.03572601869624729, -0.03501658257252226, 0.06098090427306791, 0.15203349434304983, -0.15664941848566136, -0.2304456516324232, 0.4015210623542468, 0.0067681856142977875, -0.16626947491119307, 0.18749269396066665, -0.11317393916348616, -0.03317862812740107, 0.06527382625887791, 0.006181046118338903, 0.026912125774348775, -0.2187655841310819, 0.13692039844269555, 0.028466258896514773, 0.09566367963949839, 0.1677579844603315, 0.016014751171072324, 0.22309352507193883, 0.08955069296061993, -0.006275733963896831, 0.07703473223373294, -0.05761027323702971, -0.17987920253848036, -0.2393798399095734, -0.22708355626091362, -0.2951019076863304, 0.1411076275166124, 0.0357081995656093, -0.20898414601882298, 0.3083303406756992, 0.21522644845147929, 0.11587206684052945, -0.104103617502066, 0.22416517064751437, 0.08455593250691891, 0.08085331059992314, 0.026257646440838774, 0.25744660054818574, 0.21874949026387186, 0.14377661040052772, -0.2115549559549739, 0.08211889419083794, 0.05347123766938845] |
707.4352 | Expected performance of the GAW Cherenkov Telescopes Array. Simulation
and Analysis | GAW is a "path-finder" experiment to test the feasibility of a new generation
of Imaging Atmospheric Cherenkov telescopes that join high flux sensitivity
with large field of view capability using Fresnel lens, stereoscopic
observational approach, and single photon counting mode. GAW is an array of
three telescopes that will be erected at the Calar Alto Observatory site
(Spain, 2150 m a.s.l.). To evaluate the performance of GAW, a consistent
data--set has been simulated, including a Crab-like source observation, and a
proper image analysis code has been developed, as described in this
contribution. The expected performance of GAW are also reported, mainly for
what concerns effective area, angular resolution, Cherenkov flux as function of
the core distance, ability in the gamma/proton separation, and sensitivity. The
first telescope realization, foreseen within the end of this year, will allow
to verify if the parameters used in the analysis are in agreement with the
"real" performance of the GAW apparatus.
| astro-ph | gaw is a pathfinder experiment to test the feasibility of a new generation of imaging atmospheric cherenkov telescopes that join high flux sensitivity with large field of view capability using fresnel lens stereoscopic observational approach and single photon counting mode gaw is an array of three telescopes that will be erected at the calar alto observatory site spain 2150 m asl to evaluate the performance of gaw a consistent dataset has been simulated including a crablike source observation and a proper image analysis code has been developed as described in this contribution the expected performance of gaw are also reported mainly for what concerns effective area angular resolution cherenkov flux as function of the core distance ability in the gammaproton separation and sensitivity the first telescope realization foreseen within the end of this year will allow to verify if the parameters used in the analysis are in agreement with the real performance of the gaw apparatus | [['gaw', 'is', 'a', 'pathfinder', 'experiment', 'to', 'test', 'the', 'feasibility', 'of', 'a', 'new', 'generation', 'of', 'imaging', 'atmospheric', 'cherenkov', 'telescopes', 'that', 'join', 'high', 'flux', 'sensitivity', 'with', 'large', 'field', 'of', 'view', 'capability', 'using', 'fresnel', 'lens', 'stereoscopic', 'observational', 'approach', 'and', 'single', 'photon', 'counting', 'mode', 'gaw', 'is', 'an', 'array', 'of', 'three', 'telescopes', 'that', 'will', 'be', 'erected', 'at', 'the', 'calar', 'alto', 'observatory', 'site', 'spain', '2150', 'm', 'asl', 'to', 'evaluate', 'the', 'performance', 'of', 'gaw', 'a', 'consistent', 'dataset', 'has', 'been', 'simulated', 'including', 'a', 'crablike', 'source', 'observation', 'and', 'a', 'proper', 'image', 'analysis', 'code', 'has', 'been', 'developed', 'as', 'described', 'in', 'this', 'contribution', 'the', 'expected', 'performance', 'of', 'gaw', 'are', 'also', 'reported', 'mainly', 'for', 'what', 'concerns', 'effective', 'area', 'angular', 'resolution', 'cherenkov', 'flux', 'as', 'function', 'of', 'the', 'core', 'distance', 'ability', 'in', 'the', 'gammaproton', 'separation', 'and', 'sensitivity', 'the', 'first', 'telescope', 'realization', 'foreseen', 'within', 'the', 'end', 'of', 'this', 'year', 'will', 'allow', 'to', 'verify', 'if', 'the', 'parameters', 'used', 'in', 'the', 'analysis', 'are', 'in', 'agreement', 'with', 'the', 'real', 'performance', 'of', 'the', 'gaw', 'apparatus']] | [-0.10772581923251542, 0.10345770444398976, -0.0832877646564903, 0.06468464866674577, -0.09085030046005088, -0.08944451277896476, -9.03025591889253e-06, 0.3857751009412683, -0.15330214840837586, -0.39545689769781744, 0.1292691686875724, -0.30973558093254, -0.08479887402679126, 0.25627363935106984, -0.059363288609370686, 0.060640273487362534, 0.15238761646338764, -0.02677935829463725, -0.021464073827537972, -0.22149832438131292, 0.23360835149427517, 0.19966518975651035, 0.29654246045445176, 0.04484745043103034, 0.1494296374074064, -0.04130616110080901, -0.05619432066137401, 0.02146602076633523, -0.08027866669045836, 0.06627344339936733, 0.2790163451140054, 0.15181453596261024, 0.21318405744536087, -0.3473039449503024, -0.14282043717759782, 0.05954760650936992, 0.11051136607495256, -0.02977857657541067, -0.045138155948967695, -0.3046438359321119, 0.05097003374024867, -0.1828462011020374, -0.1685645158122031, 0.01726618891534133, -0.01816575271778931, 0.028764536374999292, -0.23084675287230846, -0.04361618607482598, -0.04978697093424554, 0.0923610066924877, -0.03782947328037176, -0.14072049376315987, 0.02477995316327836, 0.15458773898307043, -0.0017744722471644098, 0.06664154073820473, 0.08509852717449973, -0.11652799449872803, -0.1000215401335691, 0.35472672772951996, -0.09449744847967313, -0.10026178788393736, 0.14822987839281082, -0.20091247772618842, -0.14482599092671314, 0.1649911307180539, 0.18131433950158027, 0.08433520718991087, -0.19529065451262376, 0.05935230876438697, -0.027553934168118317, 0.2209104985738985, 0.08196751982457219, 0.021823628879783195, 0.2478107238495842, 0.2529705619940964, 0.0697672831503531, 0.13239838515978475, -0.26889933336478394, -0.013882799437478518, -0.2829702391799611, -0.17087520707662826, -0.2067921969743717, 0.05770445293418538, -0.019041981947782168, -0.08915861698989876, 0.38944376388658736, 0.17479821116639635, 0.1064886154833799, 0.01494860968206269, 0.34943052615301734, 0.025066006037284237, 0.11344747809776798, -0.023987559410624016, 0.3124543214455629, 0.08756254647428599, 0.15583609693492642, -0.20860412235085207, 0.002054476742602837, 0.017738705441260185] |
707.4353 | Raman modes of the deformed single-wall carbon nanotubes | With the empirical bond polarizability model, the nonresonant Raman spectra
of the chiral and achiral single-wall carbon nanotubes (SWCNTs) under uniaxial
and torsional strains have been systematically studied by \textit{ab initio}
method. It is found that both the frequencies and the intensities of the
low-frequency Raman active modes almost do not change in the deformed
nanotubes, while their high-frequency part shifts obviously. Especially, the
high-frequency part shifts linearly with the uniaxial tensile strain, and two
kinds of different shift slopes are found for any kind of SWCNTs. More
interestingly, new Raman peaks are found in the nonresonant Raman spectra under
torsional strain, which are explained by a) the symmetry breaking and b) the
effect of bond rotation and the anisotropy of the polarizability induced by
bond stretching.
| cond-mat.mes-hall cond-mat.mtrl-sci | with the empirical bond polarizability model the nonresonant raman spectra of the chiral and achiral singlewall carbon nanotubes swcnts under uniaxial and torsional strains have been systematically studied by textitab initio method it is found that both the frequencies and the intensities of the lowfrequency raman active modes almost do not change in the deformed nanotubes while their highfrequency part shifts obviously especially the highfrequency part shifts linearly with the uniaxial tensile strain and two kinds of different shift slopes are found for any kind of swcnts more interestingly new raman peaks are found in the nonresonant raman spectra under torsional strain which are explained by a the symmetry breaking and b the effect of bond rotation and the anisotropy of the polarizability induced by bond stretching | [['with', 'the', 'empirical', 'bond', 'polarizability', 'model', 'the', 'nonresonant', 'raman', 'spectra', 'of', 'the', 'chiral', 'and', 'achiral', 'singlewall', 'carbon', 'nanotubes', 'swcnts', 'under', 'uniaxial', 'and', 'torsional', 'strains', 'have', 'been', 'systematically', 'studied', 'by', 'textitab', 'initio', 'method', 'it', 'is', 'found', 'that', 'both', 'the', 'frequencies', 'and', 'the', 'intensities', 'of', 'the', 'lowfrequency', 'raman', 'active', 'modes', 'almost', 'do', 'not', 'change', 'in', 'the', 'deformed', 'nanotubes', 'while', 'their', 'highfrequency', 'part', 'shifts', 'obviously', 'especially', 'the', 'highfrequency', 'part', 'shifts', 'linearly', 'with', 'the', 'uniaxial', 'tensile', 'strain', 'and', 'two', 'kinds', 'of', 'different', 'shift', 'slopes', 'are', 'found', 'for', 'any', 'kind', 'of', 'swcnts', 'more', 'interestingly', 'new', 'raman', 'peaks', 'are', 'found', 'in', 'the', 'nonresonant', 'raman', 'spectra', 'under', 'torsional', 'strain', 'which', 'are', 'explained', 'by', 'a', 'the', 'symmetry', 'breaking', 'and', 'b', 'the', 'effect', 'of', 'bond', 'rotation', 'and', 'the', 'anisotropy', 'of', 'the', 'polarizability', 'induced', 'by', 'bond', 'stretching']] | [-0.1533487766905959, 0.2580527052389619, -0.03519221021808449, -0.0248015709661358, -0.007931654644015384, -0.11379675889446393, 0.044761725760057686, 0.5151667512483954, -0.2753479898665247, -0.23768136943837143, -0.004308900105634954, -0.2853669313435245, -0.15952971494045315, 0.15218517442296192, 0.07996451903655245, 0.014702880678067761, 0.009663016288761254, -0.028035911548090733, -0.013717855288331785, -0.15180819026949838, 0.2409962770991086, 0.03796308668784973, 0.3633569422962628, 0.07087706980812473, -0.04129159220083668, -0.0021969944194663226, 0.053964153856156376, 0.032275064078372294, -0.13365423762429493, 0.11377862094732838, 0.22387846679184734, -0.1232415482302849, 0.1652922310241256, -0.4561696936537724, -0.21544369056410206, 0.03116441362328446, 0.10780537306279765, 0.16833931269347815, 0.013059647283933903, -0.2734370546811444, 0.021425975346387783, -0.11993328671843752, -0.1225272065624833, -0.11243518867748092, 0.05538142271207895, 0.024972446075380288, -0.22083634698367494, 0.13203810711618602, 0.05665082314719013, 0.13097624359725732, -0.1448099531717305, -0.1612667708628349, -0.1271466243293459, 0.043273948202657654, 0.16001172139085681, -0.04396650028657022, 0.2220444591600433, -0.0664766063532374, -0.10115259570091611, 0.450609755768316, -0.06707577518092131, -0.07987152324534777, 0.11621174436267906, -0.16729897125367457, -0.11475493846549176, 0.20961176006372753, 0.06446357053799892, 0.10431095204631409, -0.1389350943839339, 0.02311240238647204, 0.045047666675843825, 0.1735127894418666, 0.16219776215794401, 0.03136266745428929, 0.2059391363978562, 0.09689527092222858, 0.014257786784497068, 0.1325987732884892, -0.13378891825133304, 0.023823857982092956, -0.22278080616278326, -0.06851926938388643, -0.16720431937843444, 0.050715711710385164, -0.06411359917054385, -0.18173009158280773, 0.3950450554504756, 0.0255193856112131, 0.12907586612841335, 0.013813683661397576, 0.24506896601139208, 0.11430077193906223, 0.10520670190866024, -0.03323274957544104, 0.3644944549809525, 0.21352982960868716, 0.07004680693805893, -0.3227515768032433, 0.05457297115271369, -0.041288254533227035] |
707.4354 | Spatial clustering in the ESO-Sculptor Survey: two-point correlation
functions by galaxy type at redshifts 0.1 - 0.5 | We calculate the spatial two-point auto and cross-correlation functions for
the 765 galaxies with Rc<21.5 and 0.1<z<0.51 in the ESO-Sculptor survey, and
explore the segregation effects among the populations of giant (early-type,
late spiral) and dwarf (dE, dI) galaxies. At separation of 0.3 h^-1 Mpc, pairs
of early-type galaxies dominate the clustering over all the other types of
pairs. At intermediate scales, 0.3-5 h^-1 Mpc, mixed pairs of dwarf and giant
galaxies contribute equally as pairs of giant galaxies, whereas the latter
dominate at ~10 h^-1 Mpc. We detect the signature of the transition between the
1-halo and 2-halo regimes which is expected in the scenario of galaxy formation
by hierarchical merging of dark matter halos. The early-type galaxies largely
outdo the late spiral galaxies in their 1-halo component, whereas the 2-halo
components of both giant populations are comparable. The dwarf galaxies have an
intermediate 1-halo component between the 2 giant galaxy types, and their
2-halo component is weak and consistent with null clustering. The present
analysis indicates that the early-type galaxies are preferentially located near
the centers of the most massive halos, whereas late spiral galaxies tend to
occupy their outskirts or the centers of less massive halos. This analysis also
unveils new results on the spatial distribution of dwarf galaxies: at the scale
at which they significantly cluster inside the halos (<0.3 h^-1 Mpc), they are
poorly mixed with the late spiral galaxies, and appear preferentially as
satellites of early-type galaxies.
| astro-ph | we calculate the spatial twopoint auto and crosscorrelation functions for the 765 galaxies with rc215 and 01z051 in the esosculptor survey and explore the segregation effects among the populations of giant earlytype late spiral and dwarf de di galaxies at separation of 03 h1 mpc pairs of earlytype galaxies dominate the clustering over all the other types of pairs at intermediate scales 035 h1 mpc mixed pairs of dwarf and giant galaxies contribute equally as pairs of giant galaxies whereas the latter dominate at 10 h1 mpc we detect the signature of the transition between the 1halo and 2halo regimes which is expected in the scenario of galaxy formation by hierarchical merging of dark matter halos the earlytype galaxies largely outdo the late spiral galaxies in their 1halo component whereas the 2halo components of both giant populations are comparable the dwarf galaxies have an intermediate 1halo component between the 2 giant galaxy types and their 2halo component is weak and consistent with null clustering the present analysis indicates that the earlytype galaxies are preferentially located near the centers of the most massive halos whereas late spiral galaxies tend to occupy their outskirts or the centers of less massive halos this analysis also unveils new results on the spatial distribution of dwarf galaxies at the scale at which they significantly cluster inside the halos 03 h1 mpc they are poorly mixed with the late spiral galaxies and appear preferentially as satellites of earlytype galaxies | [['we', 'calculate', 'the', 'spatial', 'twopoint', 'auto', 'and', 'crosscorrelation', 'functions', 'for', 'the', '765', 'galaxies', 'with', 'rc215', 'and', '01z051', 'in', 'the', 'esosculptor', 'survey', 'and', 'explore', 'the', 'segregation', 'effects', 'among', 'the', 'populations', 'of', 'giant', 'earlytype', 'late', 'spiral', 'and', 'dwarf', 'de', 'di', 'galaxies', 'at', 'separation', 'of', '03', 'h1', 'mpc', 'pairs', 'of', 'earlytype', 'galaxies', 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'weak', 'and', 'consistent', 'with', 'null', 'clustering', 'the', 'present', 'analysis', 'indicates', 'that', 'the', 'earlytype', 'galaxies', 'are', 'preferentially', 'located', 'near', 'the', 'centers', 'of', 'the', 'most', 'massive', 'halos', 'whereas', 'late', 'spiral', 'galaxies', 'tend', 'to', 'occupy', 'their', 'outskirts', 'or', 'the', 'centers', 'of', 'less', 'massive', 'halos', 'this', 'analysis', 'also', 'unveils', 'new', 'results', 'on', 'the', 'spatial', 'distribution', 'of', 'dwarf', 'galaxies', 'at', 'the', 'scale', 'at', 'which', 'they', 'significantly', 'cluster', 'inside', 'the', 'halos', '03', 'h1', 'mpc', 'they', 'are', 'poorly', 'mixed', 'with', 'the', 'late', 'spiral', 'galaxies', 'and', 'appear', 'preferentially', 'as', 'satellites', 'of', 'earlytype', 'galaxies']] | [-0.10899250724384425, 0.10094999674432377, -0.1073356120090466, 0.1538939737234614, -0.079743345650301, 0.001886954297272799, -0.033051280668587424, 0.3885930583657076, -0.09587376892207734, 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707.4355 | Moderate deviations and laws of the iterated logarithm for the local
times of additive L\'{e}vy processes and additive random walks | We study the upper tail behaviors of the local times of the additive L\'{e}vy
processes and additive random walks. The limit forms we establish are the
moderate deviations and the laws of the iterated logarithm for the L_2-norms of
the local times and for the local times at a fixed site.
| math.PR | we study the upper tail behaviors of the local times of the additive levy processes and additive random walks the limit forms we establish are the moderate deviations and the laws of the iterated logarithm for the l_2norms of the local times and for the local times at a fixed site | [['we', 'study', 'the', 'upper', 'tail', 'behaviors', 'of', 'the', 'local', 'times', 'of', 'the', 'additive', 'levy', 'processes', 'and', 'additive', 'random', 'walks', 'the', 'limit', 'forms', 'we', 'establish', 'are', 'the', 'moderate', 'deviations', 'and', 'the', 'laws', 'of', 'the', 'iterated', 'logarithm', 'for', 'the', 'l_2norms', 'of', 'the', 'local', 'times', 'and', 'for', 'the', 'local', 'times', 'at', 'a', 'fixed', 'site']] | [-0.15235662646591663, 0.139851387517125, -0.1001496647356772, 0.10253808486695383, 0.0661132898793428, -0.06381490009416844, 0.1179601876065135, 0.30022144801549466, -0.27962446110505684, -0.21975882256440088, 0.15223545645016665, -0.2843351781952615, -0.11298925049749076, 0.16947567609010958, -0.016367046372490188, 0.04378850201108292, -0.05364962062780179, 0.04467553550414011, -0.06287793572261638, -0.2490139679398899, 0.28103650134860303, 0.05668021590613267, 0.23049361280658665, 0.00019055334668533475, 0.1413675362390338, 0.020650573440042196, -0.07329101217728035, -0.02886728730564024, -0.18064601103976077, 0.11740447067673884, 0.14567945155260317, -0.015173124222486628, 0.25760944319121976, -0.4399993721322686, -0.14250182660351343, 0.17893071240727224, 0.05417094510459505, 0.06555547006428242, 0.028909285265185377, -0.27910112082848654, 0.11890783258622475, -0.12074106749074132, -0.17848826769520254, 0.006691889326069869, 0.07884786494861484, 0.12374906869623445, -0.35285936310595156, 0.11316563579819951, 0.1429435088956619, 0.05166174563996987, -0.01680772216515798, -0.12313163685886298, 0.04343189393151917, 0.16787810507686993, 0.08699091034484845, -0.06705196858292409, 0.18594261162056058, -0.1487959182328161, -0.125418626064179, 0.3508848905855534, -0.11339278574850337, -0.1266971937901176, 0.1998652819471032, -0.20282453733185926, -0.13926408230783602, 0.12018920324158434, 0.17079503078232794, 0.09482967882764105, -0.13663694395811535, 0.1738246842892384, -0.04056076233403063, 0.07892562945683797, 0.0633349750172712, 0.07298942713760863, 0.13501097334037518, 0.09108139830184918, 0.14079087636634416, 0.13440683104243933, -0.10903225462956756, -0.1504448201671681, -0.33940594329717844, -0.1462831519653692, -0.15125641964522063, 0.11482493407732132, -0.22113638143791298, -0.17520173244616566, 0.3785788681924197, 0.07319087670275978, 0.22504471554694808, 0.19996356127747134, 0.1956861783001645, 0.2374653751578401, -0.008171391143810516, 0.08904384778739483, 0.1349490146134414, 0.1353704107596594, 0.05271565481362974, -0.1749490603220229, 0.10040065695476882, 0.0948215471854543] |
707.4356 | Anomalous distribution functions in sheared suspensions | We investigate velocity probability distribution functions (PDF) of sheared
hard-sphere suspensions. As observed in our Stokes flow simulations and
explained by our single-particle theory, these PDFs can show pronounced
deviations from a Maxwell-Boltzmann distribution. The PDFs are symmetric around
zero velocity and show a Gaussian core and exponential tails over more than six
orders of magnitude of probability. Following the excellent agreement of our
theory and simulation data, we demonstrate that the distribution functions
scale with the shear rate, the particle volume concentration, as well as the
fluid viscosity.
| cond-mat.soft cond-mat.stat-mech | we investigate velocity probability distribution functions pdf of sheared hardsphere suspensions as observed in our stokes flow simulations and explained by our singleparticle theory these pdfs can show pronounced deviations from a maxwellboltzmann distribution the pdfs are symmetric around zero velocity and show a gaussian core and exponential tails over more than six orders of magnitude of probability following the excellent agreement of our theory and simulation data we demonstrate that the distribution functions scale with the shear rate the particle volume concentration as well as the fluid viscosity | [['we', 'investigate', 'velocity', 'probability', 'distribution', 'functions', 'pdf', 'of', 'sheared', 'hardsphere', 'suspensions', 'as', 'observed', 'in', 'our', 'stokes', 'flow', 'simulations', 'and', 'explained', 'by', 'our', 'singleparticle', 'theory', 'these', 'pdfs', 'can', 'show', 'pronounced', 'deviations', 'from', 'a', 'maxwellboltzmann', 'distribution', 'the', 'pdfs', 'are', 'symmetric', 'around', 'zero', 'velocity', 'and', 'show', 'a', 'gaussian', 'core', 'and', 'exponential', 'tails', 'over', 'more', 'than', 'six', 'orders', 'of', 'magnitude', 'of', 'probability', 'following', 'the', 'excellent', 'agreement', 'of', 'our', 'theory', 'and', 'simulation', 'data', 'we', 'demonstrate', 'that', 'the', 'distribution', 'functions', 'scale', 'with', 'the', 'shear', 'rate', 'the', 'particle', 'volume', 'concentration', 'as', 'well', 'as', 'the', 'fluid', 'viscosity']] | [-0.07356003455665967, 0.15584309190888418, -0.15659091779648254, 0.09967575620943575, 0.06278038898671276, -0.0457465313087228, -0.018025468964276186, 0.3545847265991602, -0.25066614278665417, -0.28437318521018107, 0.03227921835868881, -0.3027503802911954, -0.09569323026271684, 0.17877952414015413, 0.019507640010018028, 0.11995684316779455, 0.03996873808778781, -0.01822649591780278, -0.07942528486659939, -0.19237598992381874, 0.2829010474882769, 0.048301708915930115, 0.30762655882353196, 0.02442125865164098, 0.06849252615579184, -0.017109004749257244, -0.05785571050756935, 0.09360184581175948, -0.18724531728260577, 0.04544090382817589, 0.18527550437079554, 0.04019232435424006, 0.21443590712262672, -0.40187588777769817, -0.25471866963787027, 0.0537756441809823, 0.17521363676243115, 0.07197994376752484, -0.055437613983169, -0.25347466113862027, 0.0451030063343475, -0.23023029210652862, -0.20365600129380151, -0.0907430952896228, 0.014579061931522374, 0.13875613846094087, -0.284870621235518, 0.22680276172926253, 0.00890004949963369, 0.05749261231172118, -0.05926943907849072, -0.16641863936746723, -0.06248799018729269, 0.043564582736691816, 0.09417896593261636, 0.03473290049188425, 0.2126982483196627, -0.18461035270495027, -0.05014760492453247, 0.38006413879992673, -0.11713725346578102, -0.17485363137897816, 0.18208044258814848, -0.2517707907552883, -0.040335189933061934, 0.15031335996777823, 0.17248598548709257, 0.09146407709111658, -0.08754207672069916, 0.01689673241573187, -0.08184744909751031, 0.1892356424935141, 0.08584518535481242, -0.01693172352671364, 0.19390732904613603, 0.11478180110485953, 0.04699313145633159, 0.11452133386602542, -0.1469356931740774, -0.17561983153370492, -0.32457888118001854, -0.1184307080379614, -0.2096685291466753, 0.04474072677889065, -0.16034567233611924, -0.15997871469308653, 0.3578081558971258, 0.13236063533054476, 0.22156989737544627, 0.15344239471825571, 0.27801518977274386, 0.12257800772890784, 0.011398645630629544, 0.09251928971346214, 0.20639763726444726, 0.15694581882065434, 0.08803520793110928, -0.2004399294049343, 0.09666371210792175, 0.012141654785889923] |
707.4357 | Radial-breathing-like phonon modes of double-walled carbon nanotubes | The radial-breathing-like phonon modes (RBLMs) of the double-walled carbon
nanotubes are studied in a simple analytical model, in which the interaction
force constants (FCs) can be obtained analytically from the continuous model.
The RBLMs frequencies are obtained by solving the dynamical matrix, and their
relationship with the tube radii can be obtained analytically, offering a
powerful experimental tool for determining precisely the radii of the
multi-walled carbon nanotubes.
| cond-mat.mes-hall cond-mat.mtrl-sci | the radialbreathinglike phonon modes rblms of the doublewalled carbon nanotubes are studied in a simple analytical model in which the interaction force constants fcs can be obtained analytically from the continuous model the rblms frequencies are obtained by solving the dynamical matrix and their relationship with the tube radii can be obtained analytically offering a powerful experimental tool for determining precisely the radii of the multiwalled carbon nanotubes | [['the', 'radialbreathinglike', 'phonon', 'modes', 'rblms', 'of', 'the', 'doublewalled', 'carbon', 'nanotubes', 'are', 'studied', 'in', 'a', 'simple', 'analytical', 'model', 'in', 'which', 'the', 'interaction', 'force', 'constants', 'fcs', 'can', 'be', 'obtained', 'analytically', 'from', 'the', 'continuous', 'model', 'the', 'rblms', 'frequencies', 'are', 'obtained', 'by', 'solving', 'the', 'dynamical', 'matrix', 'and', 'their', 'relationship', 'with', 'the', 'tube', 'radii', 'can', 'be', 'obtained', 'analytically', 'offering', 'a', 'powerful', 'experimental', 'tool', 'for', 'determining', 'precisely', 'the', 'radii', 'of', 'the', 'multiwalled', 'carbon', 'nanotubes']] | [-0.10060738178256612, 0.1753455623303755, -0.08076296614196438, 0.03743955882696005, 0.0010368651495530055, -0.15729086712325135, 0.0506108857691288, 0.4448367259680079, -0.26850604768842457, -0.26357943180661936, 0.0646589578451732, -0.272410646156193, -0.12841430111573293, 0.2201034743983585, 0.07581051525015098, 0.062459891649464576, 0.08961158335928653, -0.008058339070815306, -0.0163528996734665, -0.14312225650064647, 0.22239291730981606, 0.0716201175075884, 0.27418692232324526, 0.09447490171744273, 0.017349653547772993, -0.024355097107875805, 0.03633116353303194, 0.08569029880544314, -0.18280060111294286, 0.16889928201070198, 0.23948722255434124, -0.0014100658778960888, 0.17147601051972464, -0.4739796295762062, -0.22966550707530517, 0.03555096304760529, 0.1479162032644336, 0.14031244457090417, -0.01941866803054626, -0.2789188207127154, 0.06036132644288815, -0.15547984511806415, -0.1818342497643943, -0.06981771954048711, 0.009116271811609084, 0.06711851833388209, -0.25445710042348274, 0.10601048117073683, -0.015314245082957383, 0.05505792918400122, -0.10551560158626391, -0.15415378705813335, -0.05185396493627475, 0.15279750998776692, 0.032037685453654444, -0.05930159002399216, 0.19505019273895483, -0.0786120389874738, -0.05470612947470867, 0.40922139590749373, -0.057334687895714664, -0.18311865978802627, 0.14265807488789925, -0.11047775458114652, -0.03421286300827677, 0.14422076281446677, 0.08173762077035812, 0.1478483500962074, -0.24056827627982086, 0.04830748128543536, -0.04239766357753139, 0.10713276822979634, 0.08933674167268552, 0.008364122680639132, 0.2629000289938771, 0.17409648030566482, -0.0479657762683928, 0.14912091296954225, -0.06054063883896631, -0.052435189327941494, -0.19907877915180647, -0.11704449855650846, -0.17871637037382104, 0.062477189366920635, -0.1331990027224842, -0.1456866922430121, 0.4057617314732992, 0.03844983371404501, 0.16154255947241417, 0.07477054494397285, 0.2715353290908612, 0.16846351878574262, 0.09407444891806405, -0.020617634473511805, 0.32620243046146175, 0.21811657913673957, 0.05568133172077628, -0.2693512832566809, 0.04037809605495288, 0.06847287576932173] |
707.4358 | Exact Hausdorff measure on the boundary of a Galton--Watson tree | A necessary and sufficient condition for the almost sure existence of an
absolutely continuous (with respect to the branching measure) exact Hausdorff
measure on the boundary of a Galton--Watson tree is obtained. In the case where
the absolutely continuous exact Hausdorff measure does not exist almost surely,
a criterion which classifies gauge functions $\phi$ according to whether
$\phi$-Hausdorff measure of the boundary minus a certain exceptional set is
zero or infinity is given. Important examples are discussed in four additional
theorems. In particular, Hawkes's conjecture in 1981 is solved. Problems of
determining the exact local dimension of the branching measure at a typical
point of the boundary are also solved.
| math.PR | a necessary and sufficient condition for the almost sure existence of an absolutely continuous with respect to the branching measure exact hausdorff measure on the boundary of a galtonwatson tree is obtained in the case where the absolutely continuous exact hausdorff measure does not exist almost surely a criterion which classifies gauge functions phi according to whether phihausdorff measure of the boundary minus a certain exceptional set is zero or infinity is given important examples are discussed in four additional theorems in particular hawkess conjecture in 1981 is solved problems of determining the exact local dimension of the branching measure at a typical point of the boundary are also solved | [['a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'the', 'almost', 'sure', 'existence', 'of', 'an', 'absolutely', 'continuous', 'with', 'respect', 'to', 'the', 'branching', 'measure', 'exact', 'hausdorff', 'measure', 'on', 'the', 'boundary', 'of', 'a', 'galtonwatson', 'tree', 'is', 'obtained', 'in', 'the', 'case', 'where', 'the', 'absolutely', 'continuous', 'exact', 'hausdorff', 'measure', 'does', 'not', 'exist', 'almost', 'surely', 'a', 'criterion', 'which', 'classifies', 'gauge', 'functions', 'phi', 'according', 'to', 'whether', 'phihausdorff', 'measure', 'of', 'the', 'boundary', 'minus', 'a', 'certain', 'exceptional', 'set', 'is', 'zero', 'or', 'infinity', 'is', 'given', 'important', 'examples', 'are', 'discussed', 'in', 'four', 'additional', 'theorems', 'in', 'particular', 'hawkess', 'conjecture', 'in', '1981', 'is', 'solved', 'problems', 'of', 'determining', 'the', 'exact', 'local', 'dimension', 'of', 'the', 'branching', 'measure', 'at', 'a', 'typical', 'point', 'of', 'the', 'boundary', 'are', 'also', 'solved']] | [-0.14133652312992945, 0.13263230468480264, -0.11056966218806871, 0.12190564221557264, -0.036922895537535534, -0.1677985502142083, 0.06920546232808142, 0.34439940340475206, -0.23998870184525437, -0.19116966904262764, 0.16632189968207833, -0.26948002338571764, -0.09417652089037684, 0.15425384398165304, -0.09165818037448126, 0.09973298450248368, 0.04162846729844897, 0.14247732908558955, -0.050181878025754606, -0.2663194384818914, 0.33115740388700177, -0.02771926902815563, 0.2624281860990535, 0.0877776832208721, 0.12771603681509963, -0.017026630909515356, -0.05725042828051117, 0.01783002675194539, -0.1691025054902522, 0.056458688866552136, 0.20929423982807255, 0.11205442632129843, 0.2566251990923641, -0.3155039147209, -0.12288359505414895, 0.23931418761713516, 0.1269555499674667, 0.01781739976680026, 0.030343792338240378, -0.27102108814736503, 0.14838914691957586, -0.0670468663848048, -0.23639507015094743, -0.03821876321902174, 0.05420979131611252, -0.012160334902721535, -0.3058414633488368, 0.06056901091178922, 0.09777482501615625, 0.061700509690226765, -0.10727702939899963, -0.08015286875888705, -0.057777280361741915, 0.12516792187864526, 0.03331651583467738, 0.0531602939633533, 0.08577093723392405, -0.07725656883141727, -0.11397965578362346, 0.3662956512080283, -0.05331375980493399, -0.2644060405009691, 0.21178775612657907, -0.1867128921642797, -0.16022531213153393, 0.14294839438068074, 0.11308425893780664, 0.12610820698799616, -0.16228652820674652, 0.1724672690541227, -0.09930637039120284, 0.09855406543420449, 0.12569184755957727, 0.002237477841778496, 0.13308618220269952, 0.09938240070066867, 0.19549323118627157, 0.15518149308040055, 0.03810874778999511, -0.07859261639826341, -0.38201226010371786, -0.15527759233613525, -0.19442713153847588, 0.1038872826217787, -0.11412156133155804, -0.2519123159314788, 0.33705109779919507, 0.10781455375766809, 0.21445881191282234, 0.10077953543791701, 0.23232549945012146, 0.17148576202706772, -0.02359566041546096, 0.06080948304889057, 0.17650816792092466, 0.17700929703925727, 0.011705942011925333, -0.14653503750782, 0.06116376349429062, 0.13504834440024144] |
707.4359 | The $\mu$-deformed Segal-Bargmann transform is a Hall type transform | We present an explanation of how the $\mu$-deformed Segal-Bargmann spaces,
that are studied in various articles of the author in collaboration with
Angulo, Echevarria and Pita, can be viewed as deserving their name, that is,
how they should be considered as a part of Segal-Bargmann analysis. This
explanation relates the $\mu$-deformed Segal-Bargmann transforms to the
generalized Segal-Bargmann transforms introduced by B. Hall using heat kernel
analysis. All the versions of the $\mu$-deformed Segal-Bargmann transform can
be understood as Hall type transforms. In particular, we define a
$\mu$-deformation of Hall's "Version C" generalized Segal-Bargmann transform
which is then shown to be a $\mu$-deformed convolution with a $\mu$-deformed
heat kernel followed by analytic continuation. Our results are generalizations
and analogues of the results of Hall.
| math-ph math.MP | we present an explanation of how the mudeformed segalbargmann spaces that are studied in various articles of the author in collaboration with angulo echevarria and pita can be viewed as deserving their name that is how they should be considered as a part of segalbargmann analysis this explanation relates the mudeformed segalbargmann transforms to the generalized segalbargmann transforms introduced by b hall using heat kernel analysis all the versions of the mudeformed segalbargmann transform can be understood as hall type transforms in particular we define a mudeformation of halls version c generalized segalbargmann transform which is then shown to be a mudeformed convolution with a mudeformed heat kernel followed by analytic continuation our results are generalizations and analogues of the results of hall | [['we', 'present', 'an', 'explanation', 'of', 'how', 'the', 'mudeformed', 'segalbargmann', 'spaces', 'that', 'are', 'studied', 'in', 'various', 'articles', 'of', 'the', 'author', 'in', 'collaboration', 'with', 'angulo', 'echevarria', 'and', 'pita', 'can', 'be', 'viewed', 'as', 'deserving', 'their', 'name', 'that', 'is', 'how', 'they', 'should', 'be', 'considered', 'as', 'a', 'part', 'of', 'segalbargmann', 'analysis', 'this', 'explanation', 'relates', 'the', 'mudeformed', 'segalbargmann', 'transforms', 'to', 'the', 'generalized', 'segalbargmann', 'transforms', 'introduced', 'by', 'b', 'hall', 'using', 'heat', 'kernel', 'analysis', 'all', 'the', 'versions', 'of', 'the', 'mudeformed', 'segalbargmann', 'transform', 'can', 'be', 'understood', 'as', 'hall', 'type', 'transforms', 'in', 'particular', 'we', 'define', 'a', 'mudeformation', 'of', 'halls', 'version', 'c', 'generalized', 'segalbargmann', 'transform', 'which', 'is', 'then', 'shown', 'to', 'be', 'a', 'mudeformed', 'convolution', 'with', 'a', 'mudeformed', 'heat', 'kernel', 'followed', 'by', 'analytic', 'continuation', 'our', 'results', 'are', 'generalizations', 'and', 'analogues', 'of', 'the', 'results', 'of', 'hall']] | [-0.05541014289826949, 0.12498506988109123, -0.17515124413413835, 0.12986638102791134, -0.13911320120630571, -0.10161803900951245, -0.006804057324427317, 0.3448072651737049, -0.30014578672889314, -0.19999505810775473, 0.1425588826904623, -0.2501719246816928, -0.22711118577872633, 0.2568602067696076, -0.12314525501588817, 0.03600887029401225, 0.016183067689512352, 0.0200184060901892, -0.09781872872816642, -0.23585570107412632, 0.31104444904771983, 0.04103539060213466, 0.24128165237269686, 0.023143337108194828, 0.04720879836603389, 0.005527034253034679, -0.05177929167651006, 0.0012707835154943778, -0.12244544748551323, 0.09310630877448826, 0.27360164440336227, 0.08790251378687557, 0.2128733103583399, -0.3627411463358974, -0.18837771869310346, 0.10349230580489899, 0.12819114864038564, -0.009233122666702285, -0.016595976511169164, -0.3520151217025323, 0.02970036139452189, -0.20356845306461585, -0.13490106240220245, -0.1660878941995, -0.004473243187349595, 0.0198052763236595, -0.22551088973681335, 0.06260661632166106, 0.1257317945223729, -0.02419507189760687, -0.08372646167523182, -0.13584678110162743, 0.01751351708137873, 0.07352032930853578, -0.006931261961027736, 0.05334998657316214, 0.09238279340254357, -0.05092602248349395, -0.17587007901089297, 0.3683328709229216, -0.07975495262376842, -0.2464408298351298, 0.1184496285883351, -0.1493237555469768, -0.1586804946915048, 0.01899420260451734, 0.09346210661527442, 0.09029619956053182, -0.15498556486391996, 0.12761848914097293, -0.12651312268972703, 0.05787034069768107, 0.103128046896614, 0.044068540209812705, 0.1256811035201564, 0.10407702042530367, 0.0051969865520225195, 0.23464306751189784, -0.03438019220808857, -0.07189671728200829, -0.3283754949778563, -0.26964800609046685, -0.21628927521037367, 0.08280418893192575, 0.0004630454238141566, -0.15233058784778236, 0.37491464257606716, 0.08617774555058845, 0.20149503877294844, 0.01575390252639677, 0.21383610085324675, 0.18315407011818263, 0.08893484863014625, 0.039800209382579464, 0.1325881018181194, 0.22448135269653113, 0.13726123091077708, -0.15128367503562973, -0.0059802071382215275, 0.21016876924721922] |
707.436 | Linear-programming Decoding of Non-binary Linear Codes | We develop a framework for linear-programming (LP) decoding of non-binary
linear codes over rings. We prove that the resulting LP decoder has the
`maximum likelihood certificate' property, and we show that the decoder output
is the lowest cost pseudocodeword. Equivalence between pseudocodewords of the
linear program and pseudocodewords of graph covers is proved. LP decoding
performance is illustrated for the (11,6,5) ternary Golay code with ternary PSK
modulation over AWGN, and in this case it is shown that the LP decoder
performance is comparable to codeword-error-rate-optimum hard-decision based
decoding.
| cs.IT math.IT | we develop a framework for linearprogramming lp decoding of nonbinary linear codes over rings we prove that the resulting lp decoder has the maximum likelihood certificate property and we show that the decoder output is the lowest cost pseudocodeword equivalence between pseudocodewords of the linear program and pseudocodewords of graph covers is proved lp decoding performance is illustrated for the 1165 ternary golay code with ternary psk modulation over awgn and in this case it is shown that the lp decoder performance is comparable to codeworderrorrateoptimum harddecision based decoding | [['we', 'develop', 'a', 'framework', 'for', 'linearprogramming', 'lp', 'decoding', 'of', 'nonbinary', 'linear', 'codes', 'over', 'rings', 'we', 'prove', 'that', 'the', 'resulting', 'lp', 'decoder', 'has', 'the', 'maximum', 'likelihood', 'certificate', 'property', 'and', 'we', 'show', 'that', 'the', 'decoder', 'output', 'is', 'the', 'lowest', 'cost', 'pseudocodeword', 'equivalence', 'between', 'pseudocodewords', 'of', 'the', 'linear', 'program', 'and', 'pseudocodewords', 'of', 'graph', 'covers', 'is', 'proved', 'lp', 'decoding', 'performance', 'is', 'illustrated', 'for', 'the', '1165', 'ternary', 'golay', 'code', 'with', 'ternary', 'psk', 'modulation', 'over', 'awgn', 'and', 'in', 'this', 'case', 'it', 'is', 'shown', 'that', 'the', 'lp', 'decoder', 'performance', 'is', 'comparable', 'to', 'codeworderrorrateoptimum', 'harddecision', 'based', 'decoding']] | [-0.18879197331923273, -0.018646004498639904, -0.09340689682126553, 0.11924711533356458, -0.05528113122140481, -0.2819662250906483, 0.05150480531367727, 0.43914382439106703, -0.35624609601853247, -0.2190001234147613, 0.11804909624598539, -0.22208959854800592, -0.20850194175727665, 0.21346068201819435, -0.13691637276629495, 0.15410003952936016, 0.10582180193159729, 0.059153418845116074, -0.18801202635156436, -0.38823746018467564, 0.22583255564016078, 0.16590277321467345, 0.24599828050387176, 0.0004151365455155346, 0.12040832719569815, 0.04128795166880908, 0.06619607034107586, -0.08948109796355394, -0.1173146707997148, 0.07451440564314411, 0.3642833975821056, 0.23010524938846091, 0.22131392325867305, -0.2866230461090295, -0.2035194743022492, 0.07437053638171744, 0.0889371958262266, 0.09208612559913573, -0.030883097478760068, -0.17938602605400691, 0.21232941665221006, -0.1768960304854607, 0.11345720220230181, 0.017366306668422607, -0.021841281389986925, 0.02123423290587115, -0.34189946615052497, -0.015801113035360522, 0.16367638929196718, 0.0573459550505504, -0.043327342105013406, -0.21039959793614055, 0.016404405162161725, 0.014142246821641245, -0.011834311682667414, 0.06025810646083714, -0.009683999629818241, 0.018394587860463864, -0.15311909925896378, 0.3132409207014875, -0.039564673040083355, -0.19288231724534521, 0.10609272569259205, -0.0709764449539679, -0.0688490518243105, 0.18096129964529115, 0.20789464261509816, 0.1059820033101873, -0.09031228135890243, 0.13780359372255838, -0.059465779401017986, 0.2504323480481451, 0.12619050200605256, 0.10411260740048336, 0.1089360857996243, 0.17413629457851956, 0.12142664534886452, 0.2642333816567605, -0.10084196200444819, -0.08866192332590633, -0.24964117676823994, -0.14409506499015895, -0.2033443909392438, -0.05736704584507441, -0.10642791315546095, -0.14110755625237784, 0.3706299747044051, 0.12453935857311907, 0.0640159267403016, 0.25529599673411046, 0.27217669171196496, 0.09885338271851651, 0.09077908313536848, 0.22020931463074786, 0.19585496834902602, 0.20028650141003626, -0.02749708378740417, -0.21760874953311446, 0.08516022348406048, 0.15715179845309732] |
707.4361 | Halo Assembly Bias in the Quasi-linear Regime | We address the question of whether or not assembly bias arises in the absence
of highly non-linear effects such as tidal stripping of halos near larger mass
concentrations. Therefore, we use a simplified dynamical scheme where these
effects are not modeled. We choose the punctuated Zel'dovich (PZ)
approximation, which prevents orbit mixing by coalescing particles coming
within a critical distance of each other. A numerical implementation of this
approximation is fast, allowing us to run a large number of simulations to
study assembly bias. We measure an assembly bias from 60 PZ simulations, each
with 512^3 cold particles in a 128h^-1 Mpc cubic box. The assembly bias
estimated from the correlation functions at separations < 5h^-1 Mpc for objects
(halos) at z=0 is comparable to that obtained in full N-body simulations. For
masses 4x10^11 h^-1 Mo the "oldest" 10% haloes are 3-5 times more correlated
than the "youngest" 10%. The bias weakens with increasing mass, also in
agreement with full N-body simulations. We find that that halo ages are
correlated with the dimensionality of the surrounding linear structures as
measured by the parameter (\lambda_1+\lambda_2+\lambda_3)/
(\lambda_1^2+\lambda_2^2+\lambda_3^2)^{1/2} where \lambda_i are proportional to
the eigenvalues of the velocity deformation tensor. Our results suggest that
assembly bias may already be encoded in the early stages of the evolution.
| astro-ph | we address the question of whether or not assembly bias arises in the absence of highly nonlinear effects such as tidal stripping of halos near larger mass concentrations therefore we use a simplified dynamical scheme where these effects are not modeled we choose the punctuated zeldovich pz approximation which prevents orbit mixing by coalescing particles coming within a critical distance of each other a numerical implementation of this approximation is fast allowing us to run a large number of simulations to study assembly bias we measure an assembly bias from 60 pz simulations each with 5123 cold particles in a 128h1 mpc cubic box the assembly bias estimated from the correlation functions at separations 5h1 mpc for objects halos at z0 is comparable to that obtained in full nbody simulations for masses 4x1011 h1 mo the oldest 10 haloes are 35 times more correlated than the youngest 10 the bias weakens with increasing mass also in agreement with full nbody simulations we find that that halo ages are correlated with the dimensionality of the surrounding linear structures as measured by the parameter lambda_1lambda_2lambda_3 lambda_12lambda_22lambda_3212 where lambda_i are proportional to the eigenvalues of the velocity deformation tensor our results suggest that assembly bias may already be encoded in the early stages of the evolution | [['we', 'address', 'the', 'question', 'of', 'whether', 'or', 'not', 'assembly', 'bias', 'arises', 'in', 'the', 'absence', 'of', 'highly', 'nonlinear', 'effects', 'such', 'as', 'tidal', 'stripping', 'of', 'halos', 'near', 'larger', 'mass', 'concentrations', 'therefore', 'we', 'use', 'a', 'simplified', 'dynamical', 'scheme', 'where', 'these', 'effects', 'are', 'not', 'modeled', 'we', 'choose', 'the', 'punctuated', 'zeldovich', 'pz', 'approximation', 'which', 'prevents', 'orbit', 'mixing', 'by', 'coalescing', 'particles', 'coming', 'within', 'a', 'critical', 'distance', 'of', 'each', 'other', 'a', 'numerical', 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707.4362 | Quantum time uncertainty in Schwarzschild-anti-de Sitter black holes | The combined action of gravity and quantum mechanics gives rise to a minimum
time uncertainty in the lowest order approximation of a perturbative scheme, in
which quantum effects are regarded as corrections to the classical spacetime
geometry. From the nonperturbative point of view, both gravity and quantum
mechanics are treated on equal footing in a description that already contains
all possible backreaction effects as those above in a nonlinear manner. In this
paper, the existence or not of such minimum time uncertainty is analyzed in the
context of Schwarzschild-anti-de Sitter black holes using the isolated horizon
formalism. We show that from a perturbative point of view, a nonzero time
uncertainty is generically present owing to the energy scale introduced by the
cosmological constant, while in a quantization scheme that includes
nonperturbatively the effects of that scale, an arbitrarily high time
resolution can be reached.
| gr-qc | the combined action of gravity and quantum mechanics gives rise to a minimum time uncertainty in the lowest order approximation of a perturbative scheme in which quantum effects are regarded as corrections to the classical spacetime geometry from the nonperturbative point of view both gravity and quantum mechanics are treated on equal footing in a description that already contains all possible backreaction effects as those above in a nonlinear manner in this paper the existence or not of such minimum time uncertainty is analyzed in the context of schwarzschildantide sitter black holes using the isolated horizon formalism we show that from a perturbative point of view a nonzero time uncertainty is generically present owing to the energy scale introduced by the cosmological constant while in a quantization scheme that includes nonperturbatively the effects of that scale an arbitrarily high time resolution can be reached | [['the', 'combined', 'action', 'of', 'gravity', 'and', 'quantum', 'mechanics', 'gives', 'rise', 'to', 'a', 'minimum', 'time', 'uncertainty', 'in', 'the', 'lowest', 'order', 'approximation', 'of', 'a', 'perturbative', 'scheme', 'in', 'which', 'quantum', 'effects', 'are', 'regarded', 'as', 'corrections', 'to', 'the', 'classical', 'spacetime', 'geometry', 'from', 'the', 'nonperturbative', 'point', 'of', 'view', 'both', 'gravity', 'and', 'quantum', 'mechanics', 'are', 'treated', 'on', 'equal', 'footing', 'in', 'a', 'description', 'that', 'already', 'contains', 'all', 'possible', 'backreaction', 'effects', 'as', 'those', 'above', 'in', 'a', 'nonlinear', 'manner', 'in', 'this', 'paper', 'the', 'existence', 'or', 'not', 'of', 'such', 'minimum', 'time', 'uncertainty', 'is', 'analyzed', 'in', 'the', 'context', 'of', 'schwarzschildantide', 'sitter', 'black', 'holes', 'using', 'the', 'isolated', 'horizon', 'formalism', 'we', 'show', 'that', 'from', 'a', 'perturbative', 'point', 'of', 'view', 'a', 'nonzero', 'time', 'uncertainty', 'is', 'generically', 'present', 'owing', 'to', 'the', 'energy', 'scale', 'introduced', 'by', 'the', 'cosmological', 'constant', 'while', 'in', 'a', 'quantization', 'scheme', 'that', 'includes', 'nonperturbatively', 'the', 'effects', 'of', 'that', 'scale', 'an', 'arbitrarily', 'high', 'time', 'resolution', 'can', 'be', 'reached']] | [-0.14352094795968798, 0.14833718281089306, -0.1422797349805478, 0.10308960328418632, -0.032295615732437, -0.11489670323337325, 0.027108733025670517, 0.29879298642885666, -0.22404248898318554, -0.30178566312921856, 0.08334736827237066, -0.25596785811810857, -0.10816454099161395, 0.16973889784518784, -0.06401280940473145, 0.045070603324954085, 0.01754816471495562, 0.05969810445094481, -0.08048979729654901, -0.2198542241175245, 0.3134977281766219, 0.09875568244105024, 0.23643904673453006, 0.041953550189241975, 0.12927199584858803, -0.015321492337938657, 0.0038072812561343503, 0.10688632268122294, -0.10497371817897753, 0.04374177326745768, 0.2489180110294708, 0.0502715380334343, 0.27173217076859957, -0.41943006850002956, -0.255406482148424, 0.07602825845242478, 0.131014562127853, 0.1954864825957985, -0.029966960480831202, -0.25640488346754053, 0.06586928798222086, -0.1780824058061828, -0.14219992059063064, -0.060912808209347226, -0.0002045687352721062, -0.08780374125449776, -0.2132600017486968, 0.11396685491328956, 0.04517899564557916, -0.00780743271858834, -0.04591726568631, -0.05943234221194871, -0.0029881504758830285, 0.11243902387569607, 0.06143068109263873, 0.054987438069171425, 0.10449382866580789, -0.12267179861757743, -0.13837514767268053, 0.43953479464269346, -0.07769258955199297, -0.2153719513929294, 0.12210429698380823, -0.1692233961043207, -0.1085921596224782, 0.12116359008198035, 0.15932220415723147, 0.13670452611727846, -0.1437216498015914, 0.15989006104630082, 0.021515718020964414, 0.1518894966918904, 0.07784610989943354, 0.10187312958037688, 0.2493704254609636, 0.11455869062208673, 0.05118172393930662, 0.1031930340646391, -0.046465772086068884, -0.16220684544572983, -0.4011236993182037, -0.11823351355898619, -0.17479355093948673, 0.11637219246778033, -0.10935882895440348, -0.17788130420053172, 0.3279907666067427, 0.16774523992070398, 0.19040185964372036, 0.043283122657157946, 0.28789006253456745, 0.12689009369488405, 0.04766641654876164, 0.06803183055793245, 0.282619264853161, 0.1092401095617485, 0.06179004011048366, -0.23523980822452964, -0.020542938453015976, 0.10782002166443919] |
707.4363 | Anomalous heat conduction in a carbon nanowire: Molecular dynamics
calculations | Heat conduction of a real quasi-one dimensional material, the finite length
carbon nanowire (CNW), inserted into the single-walled carbon nanotube (SWNT)
has been studied by the molecular dynamical (MD) method, in which both of the
longitudinal as well as transverse motions of the chain atoms in the SWNT have
been permitted. It is found that the thermal conductivity $\kappa $ of the
carbon nanowire is very high at room temperature, and diverges more likely with
the chain length logarithmically.
| cond-mat.mes-hall cond-mat.mtrl-sci | heat conduction of a real quasione dimensional material the finite length carbon nanowire cnw inserted into the singlewalled carbon nanotube swnt has been studied by the molecular dynamical md method in which both of the longitudinal as well as transverse motions of the chain atoms in the swnt have been permitted it is found that the thermal conductivity kappa of the carbon nanowire is very high at room temperature and diverges more likely with the chain length logarithmically | [['heat', 'conduction', 'of', 'a', 'real', 'quasione', 'dimensional', 'material', 'the', 'finite', 'length', 'carbon', 'nanowire', 'cnw', 'inserted', 'into', 'the', 'singlewalled', 'carbon', 'nanotube', 'swnt', 'has', 'been', 'studied', 'by', 'the', 'molecular', 'dynamical', 'md', 'method', 'in', 'which', 'both', 'of', 'the', 'longitudinal', 'as', 'well', 'as', 'transverse', 'motions', 'of', 'the', 'chain', 'atoms', 'in', 'the', 'swnt', 'have', 'been', 'permitted', 'it', 'is', 'found', 'that', 'the', 'thermal', 'conductivity', 'kappa', 'of', 'the', 'carbon', 'nanowire', 'is', 'very', 'high', 'at', 'room', 'temperature', 'and', 'diverges', 'more', 'likely', 'with', 'the', 'chain', 'length', 'logarithmically']] | [-0.13060184572793496, 0.23509882878846464, -0.00602407783914644, -0.058056642593911446, 0.033199806984227434, -0.19518804718674615, 0.01912163537688171, 0.4691094827766602, -0.23996894092609486, -0.21364642691332847, 0.04259187456232329, -0.32140176148655325, -0.06608814493012734, 0.185714347467113, 0.06782742965823182, 0.0555440039636615, 0.0669908924625279, 0.030930109095210448, -0.003442198214216683, -0.20968146497407594, 0.203356900670303, 0.0798477808921001, 0.35000886495869893, 0.13123061110337192, 0.07718223919017383, -0.030225221019906875, 0.08342112869155617, 0.08330526081128763, -0.14931261274605043, 0.061059876810759306, 0.22910646158151138, -0.14295265815841654, 0.21859019808098076, -0.44803463619871015, -0.26125684324413156, 0.020486478419162523, 0.19087018779455087, 0.1476212472293693, 0.025567740609963387, -0.2141504496550904, 0.08155995046194547, -0.14776555491754642, -0.12468148435418232, -0.010606957327884933, 0.05846551659842356, 0.014221035105247911, -0.14494652110032546, 0.08306459120164315, 0.059536357548681855, 0.09081788894642766, -0.03469164536979336, -0.17017231937736654, -0.12852092970532772, 0.07495656133724903, 0.06649573852355854, -0.002850950749304432, 0.25259654747489363, -0.07546089967022104, -0.05424267840750802, 0.391468815648785, -0.10336130700008465, -0.1043375593681748, 0.18694633598893118, -0.16377448747292733, -0.0570865749882964, 0.2122728859241574, 0.07647871581885295, 0.12356847987319224, -0.18637839342968968, 0.09331286000610234, -0.027093717667202536, 0.14615996320469257, 0.1014797207988942, 0.06243193427172418, 0.2601036027981303, 0.23477974358516243, 0.011332077192118725, 0.19665206137161034, -0.1509882987369425, -0.0470625184631596, -0.16157263722151327, -0.22991522030236247, -0.22638851976714647, 0.11709822471349095, -0.1042243013192395, -0.24818419146900758, 0.3588573061264096, 0.050429015593251206, 0.1828833736706143, -0.019542023645510945, 0.2612545650738936, 0.1133158591722186, 0.1389837983595685, 0.011320324865384744, 0.2110620817193427, 0.22401107047111368, 0.12462681583845271, -0.3121306052646385, 0.052301876032008573, -0.004385170682022969] |
707.4364 | The distribution of H13CN in the circumstellar envelope around IRC+10216 | H13CN J=8-7 sub-millimetre line emission produced in the circumstellar
envelope around the extreme carbon star IRC+10216 has been imaged at
sub-arcsecond angular resolution using the SMA. Supplemented by a detailed
excitation analysis the average fractional abundance of H13CN in the inner wind
(< 5E15 cm) is estimated to be about 4E-7, translating into a total HCN
fractional abundance of 2E-5 using the isotopic ratio 12C/13C=50.
Multi-transitional single-dish observations further requires the H13CN
fractional abundance to remain more or less constant in the envelope out to a
radius of about 4E16 cm, where the HCN molecules are effectively destroyed,
most probably, by photodissociation. The large amount of HCN present in the
inner wind provides effective line cooling that can dominate over that
generated from CO line emission. It is also shown that great care needs to be
taken in the radiative transfer modelling where non-local, and non-LTE, effects
are important and where the radiation field from thermal dust grains plays a
major role in exciting the HCN molecules. The amount of HCN present in the
circumstellar envelope around IRC+10216 is consistent with predicted
photospheric values based on equilibrium chemical models and indicates that any
non-equilibrium chemistry occurring in the extended pulsating atmosphere has no
drastic net effect on the fractional abundance of HCN molecules that enters the
outer envelope. It further suggests that few HCN molecules are incorporated
into dust grains.
| astro-ph | h13cn j87 submillimetre line emission produced in the circumstellar envelope around the extreme carbon star irc10216 has been imaged at subarcsecond angular resolution using the sma supplemented by a detailed excitation analysis the average fractional abundance of h13cn in the inner wind 5e15 cm is estimated to be about 4e7 translating into a total hcn fractional abundance of 2e5 using the isotopic ratio 12c13c50 multitransitional singledish observations further requires the h13cn fractional abundance to remain more or less constant in the envelope out to a radius of about 4e16 cm where the hcn molecules are effectively destroyed most probably by photodissociation the large amount of hcn present in the inner wind provides effective line cooling that can dominate over that generated from co line emission it is also shown that great care needs to be taken in the radiative transfer modelling where nonlocal and nonlte effects are important and where the radiation field from thermal dust grains plays a major role in exciting the hcn molecules the amount of hcn present in the circumstellar envelope around irc10216 is consistent with predicted photospheric values based on equilibrium chemical models and indicates that any nonequilibrium chemistry occurring in the extended pulsating atmosphere has no drastic net effect on the fractional abundance of hcn molecules that enters the outer envelope it further suggests that few hcn molecules are incorporated into dust grains | [['h13cn', 'j87', 'submillimetre', 'line', 'emission', 'produced', 'in', 'the', 'circumstellar', 'envelope', 'around', 'the', 'extreme', 'carbon', 'star', 'irc10216', 'has', 'been', 'imaged', 'at', 'subarcsecond', 'angular', 'resolution', 'using', 'the', 'sma', 'supplemented', 'by', 'a', 'detailed', 'excitation', 'analysis', 'the', 'average', 'fractional', 'abundance', 'of', 'h13cn', 'in', 'the', 'inner', 'wind', '5e15', 'cm', 'is', 'estimated', 'to', 'be', 'about', '4e7', 'translating', 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'major', 'role', 'in', 'exciting', 'the', 'hcn', 'molecules', 'the', 'amount', 'of', 'hcn', 'present', 'in', 'the', 'circumstellar', 'envelope', 'around', 'irc10216', 'is', 'consistent', 'with', 'predicted', 'photospheric', 'values', 'based', 'on', 'equilibrium', 'chemical', 'models', 'and', 'indicates', 'that', 'any', 'nonequilibrium', 'chemistry', 'occurring', 'in', 'the', 'extended', 'pulsating', 'atmosphere', 'has', 'no', 'drastic', 'net', 'effect', 'on', 'the', 'fractional', 'abundance', 'of', 'hcn', 'molecules', 'that', 'enters', 'the', 'outer', 'envelope', 'it', 'further', 'suggests', 'that', 'few', 'hcn', 'molecules', 'are', 'incorporated', 'into', 'dust', 'grains']] | [-0.0505588647333513, 0.09683549024262711, -0.0048474213246280625, 0.02878525883741595, -0.02906149943571603, -0.07062433052015606, 0.027403914732674724, 0.44776678289564553, -0.16315932588073784, -0.29407874778681026, 0.05852792638082368, -0.2561174566855474, -0.02598779520791906, 0.12401575213522863, 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707.4365 | Stability of periodic travelling shallow-water waves determined by
Newton's equation | We study the existence and stability of periodic travelling-wave solutions
for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove
stability, we use the abstract results of Grillakis-Shatah-Strauss and the
Floquet theory for periodic eigenvalue problems.
| nlin.SI | we study the existence and stability of periodic travellingwave solutions for generalized benjaminbonamahony and camassaholm equations to prove stability we use the abstract results of grillakisshatahstrauss and the floquet theory for periodic eigenvalue problems | [['we', 'study', 'the', 'existence', 'and', 'stability', 'of', 'periodic', 'travellingwave', 'solutions', 'for', 'generalized', 'benjaminbonamahony', 'and', 'camassaholm', 'equations', 'to', 'prove', 'stability', 'we', 'use', 'the', 'abstract', 'results', 'of', 'grillakisshatahstrauss', 'and', 'the', 'floquet', 'theory', 'for', 'periodic', 'eigenvalue', 'problems']] | [-0.20384251768700778, 0.013391466756515643, -0.09317031278110602, 0.11363325391293448, -0.10660482904709437, -0.11078801269040388, -0.027009540870922673, 0.24879444587756605, -0.2996187753537122, -0.1807129069176667, 0.2094820710720823, -0.2769768347908907, -0.21218835617251255, 0.1849653231089606, -0.04066411581109552, 0.20338289001408746, 0.115263521013891, -0.026959427248905685, -0.07370466840289094, -0.1794775069472106, 0.3793834800804582, -0.0923547212698716, 0.2254315377007622, 0.0614992130876464, 0.08739034442559761, 0.007803954663412536, 0.05920630134642124, -0.010471436030724469, -0.2883642499937731, 0.11209630148540087, 0.24290379366892226, 0.026390460782054374, 0.28623354161048636, -0.4420459423871601, -0.19948678806095438, 0.09757188910289723, 0.13737042445470304, 0.1304824482923483, -0.027513239320422357, -0.3419918737867299, 0.14031755060868284, -0.09062523046946701, -0.3412797431297162, -0.1391757150995545, 0.004178144202074584, 0.15150496565654656, -0.26717350741519647, 0.12835176330169334, 0.11388292177306379, 0.013359997366719386, -0.2435615458251799, -0.03305336575516883, -0.026293038116658434, -0.0006586561691673363, 0.04837398465914542, -0.1667690436999478, -0.031659470624564326, -0.07654587639605298, -0.13293794624726563, 0.3569743166513303, -0.11999435218818047, -0.2983702409135945, 0.1674020795206375, -0.03937685286954922, -0.16685616849538157, 0.09107151271446663, 0.17551158764399588, 0.14645968246109345, -0.08149745178354137, 0.12860997028902227, -0.08889952367719482, 0.1426767231348683, 0.179470175274593, 0.017762489890789285, 0.07445427742512788, 0.1261956583818092, 0.16490737094050822, 0.17565058547702125, 0.022515114451594213, -0.1624731670188553, -0.28929703748401475, -0.14689208216526928, -0.0993983246769537, 0.06300308730672388, -0.07492231882925433, -0.2504074358764817, 0.469974476898856, 0.13277730463510928, 0.029228673535673058, 0.10919848303584491, 0.17512295080129714, 0.2268669351332766, -0.12259871792048216, 0.07905146904180155, 0.23914816883830903, 0.23780623241327703, 0.17181165226022987, -0.28067304010448213, -0.11995808717192095, 0.2238860615693471] |
707.4366 | Guaranteed Accuracy for Conic Programming Problems in Vector Lattices | This paper presents rigorous forward error bounds for linear conic
optimization problems. The error bounds are formulated in a quite general
framework; the underlying vector spaces are not required to be
finite-dimensional, and the convex cones defining the partial ordering are not
required to be polyhedral. In the case of linear programming, second order cone
programming, and semidefinite programming specialized formulas are deduced
yielding guaranteed accuracy. All computed bounds are completely rigorous
because all rounding errors due to floating point arithmetic are taken into
account. Numerical results, applications and software for linear and
semidefinite programming problems are described.
| math.OC math.FA | this paper presents rigorous forward error bounds for linear conic optimization problems the error bounds are formulated in a quite general framework the underlying vector spaces are not required to be finitedimensional and the convex cones defining the partial ordering are not required to be polyhedral in the case of linear programming second order cone programming and semidefinite programming specialized formulas are deduced yielding guaranteed accuracy all computed bounds are completely rigorous because all rounding errors due to floating point arithmetic are taken into account numerical results applications and software for linear and semidefinite programming problems are described | [['this', 'paper', 'presents', 'rigorous', 'forward', 'error', 'bounds', 'for', 'linear', 'conic', 'optimization', 'problems', 'the', 'error', 'bounds', 'are', 'formulated', 'in', 'a', 'quite', 'general', 'framework', 'the', 'underlying', 'vector', 'spaces', 'are', 'not', 'required', 'to', 'be', 'finitedimensional', 'and', 'the', 'convex', 'cones', 'defining', 'the', 'partial', 'ordering', 'are', 'not', 'required', 'to', 'be', 'polyhedral', 'in', 'the', 'case', 'of', 'linear', 'programming', 'second', 'order', 'cone', 'programming', 'and', 'semidefinite', 'programming', 'specialized', 'formulas', 'are', 'deduced', 'yielding', 'guaranteed', 'accuracy', 'all', 'computed', 'bounds', 'are', 'completely', 'rigorous', 'because', 'all', 'rounding', 'errors', 'due', 'to', 'floating', 'point', 'arithmetic', 'are', 'taken', 'into', 'account', 'numerical', 'results', 'applications', 'and', 'software', 'for', 'linear', 'and', 'semidefinite', 'programming', 'problems', 'are', 'described']] | [-0.12242510929057489, 0.01187146800018999, -0.054227810486086776, 0.14504529555133372, -0.16509968876762657, -0.20244840834270783, 0.024038483152327567, 0.3463148017680006, -0.35921296773820505, -0.285281553959512, 0.19732113157360986, -0.2323493117666138, -0.14830258078112893, 0.24064150612269128, -0.11558767813373694, 0.16404714714260582, 0.05015359898287879, -0.05891566680820317, -0.16974822014251875, -0.3202132680785975, 0.24412554982878573, -0.015523480622059837, 0.17762822963354385, 0.0939300190514828, 0.07920866922893542, 0.0038447867157127783, -0.011465323837093857, 0.08967573731681522, -0.11313704821300141, 0.1374350128961461, 0.4196583523643108, 0.17170814505531168, 0.29238083625773004, -0.46951289271593705, -0.11365863320872673, 0.07878350127697448, 0.09947001671523084, 0.09779813195274649, -0.015364858497656425, -0.26035641210999494, 0.11224061073450257, -0.06774002057025019, -0.05599845579958388, -0.1414363806288005, -0.06616169041763915, -0.02169701199484419, -0.3152206124600061, 0.026852505274440105, 0.09780816760921508, 0.07001273579448841, -0.0645742817872147, -0.22011577689483267, 0.0215831674559384, 0.05337892022287967, 0.027027813456382374, 0.010751730415551943, 0.10651807088704247, 0.007693166105665875, -0.1664906710158197, 0.4051655183774324, 0.032594804403761744, -0.3233245573403333, 0.12798114152321097, -0.10419014966761579, -0.11529904328125092, 0.1795093864772697, 0.2526493714373958, 0.14436853819108586, -0.16420212277800453, 0.1508375092538588, -0.02781432892709058, 0.11667987392955147, 0.06513424838741062, 0.0288559951450039, 0.15198913577953543, 0.09392650186901494, 0.1282335813727458, 0.11275649270784034, 0.04551484067069025, -0.14689620639546774, -0.3427818403294196, -0.11043960230463014, -0.16862783691019048, -0.034816778635271176, -0.11181774648109555, -0.16788243879302767, 0.33024549309392365, 0.06623116879467378, 0.11842927014531225, 0.19983490115288188, 0.3101559929473668, 0.20258403675421616, 0.022862708153279156, 0.1310545950819149, 0.21815364982704727, 0.16045783002081573, 0.04824786007461347, -0.15524724894708108, 0.10730567667633295, 0.12610509963135938] |
707.4367 | Planar quark scattering at strong coupling and universality | We discuss scattering of fundamental matter in the planar and strong coupling
limit via the AdS/CFT correspondence, generalizing the recently proposed
calculation for adjoint matter due to Alday and Maldacena [arXiv:0705.0303].
Color decomposition of quark amplitudes is a key property allowing to repeat
the procedure in the case of fundamental matter and to derive the relation of
these strong coupling amplitudes to minimal area problems. We present the
results for two different D3-D7 systems, one is only conformal in the planar
limit and the other is exactly conformal. Our results suggest a universal
behavior of scattering amplitudes at strong coupling and planar limit (both for
gluons and quarks).
| hep-th | we discuss scattering of fundamental matter in the planar and strong coupling limit via the adscft correspondence generalizing the recently proposed calculation for adjoint matter due to alday and maldacena arxiv07050303 color decomposition of quark amplitudes is a key property allowing to repeat the procedure in the case of fundamental matter and to derive the relation of these strong coupling amplitudes to minimal area problems we present the results for two different d3d7 systems one is only conformal in the planar limit and the other is exactly conformal our results suggest a universal behavior of scattering amplitudes at strong coupling and planar limit both for gluons and quarks | [['we', 'discuss', 'scattering', 'of', 'fundamental', 'matter', 'in', 'the', 'planar', 'and', 'strong', 'coupling', 'limit', 'via', 'the', 'adscft', 'correspondence', 'generalizing', 'the', 'recently', 'proposed', 'calculation', 'for', 'adjoint', 'matter', 'due', 'to', 'alday', 'and', 'maldacena', 'arxiv07050303', 'color', 'decomposition', 'of', 'quark', 'amplitudes', 'is', 'a', 'key', 'property', 'allowing', 'to', 'repeat', 'the', 'procedure', 'in', 'the', 'case', 'of', 'fundamental', 'matter', 'and', 'to', 'derive', 'the', 'relation', 'of', 'these', 'strong', 'coupling', 'amplitudes', 'to', 'minimal', 'area', 'problems', 'we', 'present', 'the', 'results', 'for', 'two', 'different', 'd3d7', 'systems', 'one', 'is', 'only', 'conformal', 'in', 'the', 'planar', 'limit', 'and', 'the', 'other', 'is', 'exactly', 'conformal', 'our', 'results', 'suggest', 'a', 'universal', 'behavior', 'of', 'scattering', 'amplitudes', 'at', 'strong', 'coupling', 'and', 'planar', 'limit', 'both', 'for', 'gluons', 'and', 'quarks']] | [-0.12350919315695902, 0.16981935944129653, -0.09834265795527636, 0.09024319020382816, -0.07576280839253809, -0.11820932618716609, 0.0295716711324335, 0.3193065878743671, -0.20474798796115287, -0.2593858676187903, 0.04812119632772231, -0.2739345113372552, -0.13435876453034232, 0.1591413693054292, -0.005745320019494986, 0.09854608561808818, 0.016808331848304964, 0.027596864270516365, -0.06559297875892893, -0.21202446080561482, 0.3381048313855568, -0.04158392210847864, 0.3162410610277101, 0.16764888827140642, 0.0995402122830328, 0.07203319049483844, -0.01600093151677713, -0.0027789813727488585, -0.1055849426312842, 0.10692288390595779, 0.2127638582861547, 0.02970089875683885, 0.12323073426557478, -0.41466091223339613, -0.19880117516677442, 0.0761883951131707, 0.15505847242164694, 0.14497231032316374, -0.026430956192453888, -0.2485255965610496, 0.07486721496130383, -0.14204656731372126, -0.1662920703763299, -0.07689018667649443, 0.0342896231363101, -0.07039837303536588, -0.2857100916504164, 0.06837910058620934, 0.06220631885438043, -0.015796165687040748, -0.009666078332289357, -0.0771475925031945, -0.018316106701043444, 0.11072792458374088, 0.09443747242651532, 0.03508059877606335, 0.06936405449844549, -0.21101948766855994, -0.12445696644489349, 0.35752323706129513, -0.07790582601381378, -0.16410730750012759, 0.23544481546818236, -0.1589973940836074, -0.18062737916604937, 0.06301249907499998, 0.12881961470539463, 0.11675552003712297, -0.1554151547846393, 0.16489699779831257, -0.04728430059790681, 0.11445913234046687, 0.11717949650972803, 0.051044202698546974, 0.2522274944234953, 0.14261161702223749, -0.0042143784872491225, 0.14502285314325644, -0.04703190343924493, -0.10780081066746856, -0.34902712942109765, -0.11554463921418352, -0.12992809032237976, 0.0169744873767562, -0.15918729660045747, -0.13206102356105764, 0.35744297142558357, 0.130899791190973, 0.17358730688134086, 0.07544196821601243, 0.27050151010957835, 0.14856304458634076, 0.06754237431249469, 0.06394209067345918, 0.3421182989982766, 0.23307264660633056, 0.0723151114930303, -0.2761769639502201, -0.07901117409945022, 0.15106245470189741] |
707.4368 | Spectral properties of locally correlated electrons in a BCS
superconductor | We present a detailed study of the spectral properties of a locally
correlated site embedded in a BCS superconducting medium. To this end the
Anderson impurity model with superconducting bath is analysed by numerical
renormalisation group (NRG) calculations. We calculate one and two-particle
dynamic response function to elucidate the spectral excitation and the nature
of the ground state for different parameter regimes with and without
particle-hole symmetry. The position and weight of the Andreev bound states is
given for all relevant parameters. We also present phase diagrams for the
different ground state parameter regimes. This work is also relevant for
dynamical mean field theory extensions with superconducting symmetry breaking.
| cond-mat.str-el cond-mat.supr-con | we present a detailed study of the spectral properties of a locally correlated site embedded in a bcs superconducting medium to this end the anderson impurity model with superconducting bath is analysed by numerical renormalisation group nrg calculations we calculate one and twoparticle dynamic response function to elucidate the spectral excitation and the nature of the ground state for different parameter regimes with and without particlehole symmetry the position and weight of the andreev bound states is given for all relevant parameters we also present phase diagrams for the different ground state parameter regimes this work is also relevant for dynamical mean field theory extensions with superconducting symmetry breaking | [['we', 'present', 'a', 'detailed', 'study', 'of', 'the', 'spectral', 'properties', 'of', 'a', 'locally', 'correlated', 'site', 'embedded', 'in', 'a', 'bcs', 'superconducting', 'medium', 'to', 'this', 'end', 'the', 'anderson', 'impurity', 'model', 'with', 'superconducting', 'bath', 'is', 'analysed', 'by', 'numerical', 'renormalisation', 'group', 'nrg', 'calculations', 'we', 'calculate', 'one', 'and', 'twoparticle', 'dynamic', 'response', 'function', 'to', 'elucidate', 'the', 'spectral', 'excitation', 'and', 'the', 'nature', 'of', 'the', 'ground', 'state', 'for', 'different', 'parameter', 'regimes', 'with', 'and', 'without', 'particlehole', 'symmetry', 'the', 'position', 'and', 'weight', 'of', 'the', 'andreev', 'bound', 'states', 'is', 'given', 'for', 'all', 'relevant', 'parameters', 'we', 'also', 'present', 'phase', 'diagrams', 'for', 'the', 'different', 'ground', 'state', 'parameter', 'regimes', 'this', 'work', 'is', 'also', 'relevant', 'for', 'dynamical', 'mean', 'field', 'theory', 'extensions', 'with', 'superconducting', 'symmetry', 'breaking']] | [-0.1633071228797727, 0.19664790100682902, -0.09408276117141914, 0.07643561084528343, -0.04195733670435778, -0.15365139160993074, 0.09787773058660021, 0.37185390295307025, -0.2174443956080038, -0.2722261634510045, 0.03021433918604439, -0.27883313118625397, -0.10171055752749837, 0.12084968007007323, 0.048173615044632224, 0.05470340080354192, 0.003569792325975835, 0.008946775826155592, -0.13723514589946717, -0.17816787647348273, 0.3807564352643292, 0.028496126687034554, 0.28760698769207393, 0.07508097877384189, 0.015807230775287257, 0.043084068061493404, 0.06670123452337784, -0.005911220249574666, -0.17862335546369398, 0.031960998274655074, 0.2659409073215627, -0.029490011359710213, 0.19479111512191594, -0.4108050244458772, -0.24264802868422464, 0.06113657098126794, 0.13018689793854987, 0.16262154804047094, -0.03715056063043415, -0.31430944342405426, 0.029471705565143617, -0.18892142816591972, -0.172714222517343, -0.09754202995927783, -0.01148286683766872, -0.03137788636430483, -0.24679813819826332, 0.0901296297809186, -0.01498627907157568, 0.06472070553758419, -0.08581357339285997, -0.08875936255234917, -0.024524618544692702, 0.10532608441581283, 0.010423133448791613, -0.002346011957392917, 0.12357150261512521, -0.14318253894105826, -0.07377151483584435, 0.33126436390939656, -0.04329387489343148, -0.15277823227577322, 0.16954915808116452, -0.14203938327456286, -0.11821153711360974, 0.12349756939097419, 0.1032761884297868, 0.08707280983345224, -0.1422887660836408, 0.09242817329524786, -0.035376680305723204, 0.19392139730983576, -0.04039120971472985, 0.09619698919560932, 0.16206728408984636, 0.1572211803697528, 0.048865769729189094, 0.18217228347896983, -0.09013860380071975, -0.11994352380087206, -0.33264741733875297, -0.1287225922724497, -0.1884966337393303, 0.012595087655076604, -0.07065462083459635, -0.1777033295755813, 0.4826801714803511, 0.15791384360556482, 0.191723059684224, -0.004120558376398382, 0.24636951759201262, 0.16719992813406462, -0.0028190907313052666, 0.062117550498592335, 0.2089219115794115, 0.16952335916100703, 0.051169401513190445, -0.32888003282778716, 0.011505726179366488, 0.07610799988663387] |
707.4369 | Detection of the Cherenkov light diffused by Sea Water with the ULTRA
Experiment | The study of Ultra High Energy Cosmic Rays represents one of the most
challenging topic in the Cosmic Rays and in the Astroparticle Physics fields.
The interaction of primary particles with atmospheric nuclei produces a huge
Extensive Air Shower together with isotropic emission of UV fluorescence light
and highly directional Cherenkov photons, that are reflected/diffused
isotropically by the impact on the Earth's surface or on high optical depth
clouds. For space-based observations, detecting the reflected Cherenkov signal
in a delayed coincidence with the fluorescence light improves the accuracy of
the shower reconstruction in space and in particular the measurement of the
shower maximum, giving a strong signature for discriminating hadrons and
neutrinos, and helping to estimate the primary chemical composition. Since the
Earth's surface is mostly covered by water, the ULTRA (UV Light Transmission
and Reflection in the Atmosphere)experiment has been designed to provide the
diffusing properties of sea water, overcoming the lack of information in this
specific field. A small EAS array, made up of 5 particle detectors, and an UV
optical device, have been coupled to detect in coincidence both electromagnetic
and UV components. The detector was in operation from May to December, 2005, in
a small private harbor in Capo Granitola (Italy); the results of these
measurements in terms of diffusion coefficient and threshold energy are
presented here.
| astro-ph | the study of ultra high energy cosmic rays represents one of the most challenging topic in the cosmic rays and in the astroparticle physics fields the interaction of primary particles with atmospheric nuclei produces a huge extensive air shower together with isotropic emission of uv fluorescence light and highly directional cherenkov photons that are reflecteddiffused isotropically by the impact on the earths surface or on high optical depth clouds for spacebased observations detecting the reflected cherenkov signal in a delayed coincidence with the fluorescence light improves the accuracy of the shower reconstruction in space and in particular the measurement of the shower maximum giving a strong signature for discriminating hadrons and neutrinos and helping to estimate the primary chemical composition since the earths surface is mostly covered by water the ultra uv light transmission and reflection in the atmosphereexperiment has been designed to provide the diffusing properties of sea water overcoming the lack of information in this specific field a small eas array made up of 5 particle detectors and an uv optical device have been coupled to detect in coincidence both electromagnetic and uv components the detector was in operation from may to december 2005 in a small private harbor in capo granitola italy the results of these measurements in terms of diffusion coefficient and threshold energy are presented here | [['the', 'study', 'of', 'ultra', 'high', 'energy', 'cosmic', 'rays', 'represents', 'one', 'of', 'the', 'most', 'challenging', 'topic', 'in', 'the', 'cosmic', 'rays', 'and', 'in', 'the', 'astroparticle', 'physics', 'fields', 'the', 'interaction', 'of', 'primary', 'particles', 'with', 'atmospheric', 'nuclei', 'produces', 'a', 'huge', 'extensive', 'air', 'shower', 'together', 'with', 'isotropic', 'emission', 'of', 'uv', 'fluorescence', 'light', 'and', 'highly', 'directional', 'cherenkov', 'photons', 'that', 'are', 'reflecteddiffused', 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707.437 | The mass distribution in Spiral galaxies | In the past years a wealth of observations has allowed us to unravel the
structural properties of the Dark and Luminous mass distribution in spirals. As
result, it has been found that their rotation curves follow, out their virial
radius, an Universal function (URC) made by two terms: one due to the
gravitational potential of a Freeman stellar disk and the other due to that of
a dark halo. The importance of the latter is found to decrease with galaxy
mass. Individual objects reveal in detail that dark halos have a density core,
whose size correlates with its central value. These properties will guide
$\Lambda$CDM Cosmology to evolve to match the challenge that observations
presently pose.
| astro-ph gr-qc hep-ph | in the past years a wealth of observations has allowed us to unravel the structural properties of the dark and luminous mass distribution in spirals as result it has been found that their rotation curves follow out their virial radius an universal function urc made by two terms one due to the gravitational potential of a freeman stellar disk and the other due to that of a dark halo the importance of the latter is found to decrease with galaxy mass individual objects reveal in detail that dark halos have a density core whose size correlates with its central value these properties will guide lambdacdm cosmology to evolve to match the challenge that observations presently pose | [['in', 'the', 'past', 'years', 'a', 'wealth', 'of', 'observations', 'has', 'allowed', 'us', 'to', 'unravel', 'the', 'structural', 'properties', 'of', 'the', 'dark', 'and', 'luminous', 'mass', 'distribution', 'in', 'spirals', 'as', 'result', 'it', 'has', 'been', 'found', 'that', 'their', 'rotation', 'curves', 'follow', 'out', 'their', 'virial', 'radius', 'an', 'universal', 'function', 'urc', 'made', 'by', 'two', 'terms', 'one', 'due', 'to', 'the', 'gravitational', 'potential', 'of', 'a', 'freeman', 'stellar', 'disk', 'and', 'the', 'other', 'due', 'to', 'that', 'of', 'a', 'dark', 'halo', 'the', 'importance', 'of', 'the', 'latter', 'is', 'found', 'to', 'decrease', 'with', 'galaxy', 'mass', 'individual', 'objects', 'reveal', 'in', 'detail', 'that', 'dark', 'halos', 'have', 'a', 'density', 'core', 'whose', 'size', 'correlates', 'with', 'its', 'central', 'value', 'these', 'properties', 'will', 'guide', 'lambdacdm', 'cosmology', 'to', 'evolve', 'to', 'match', 'the', 'challenge', 'that', 'observations', 'presently', 'pose']] | [-0.0697028966427877, 0.07398526950707711, -0.14851960579961024, 0.09428733440039776, -0.1331230704190916, -0.05890828382689506, -0.009959025158956325, 0.38112561240920734, -0.21071750814384171, -0.37562125206700175, 0.06484883806993381, -0.2610947539435764, -0.061699860986193705, 0.18421008491133825, -0.0387003011921228, 0.024708761247015428, 0.014990027359654677, 0.005205943488018137, -0.05076465021280957, -0.298848357681044, 0.3125010890031137, 0.08680795984551438, 0.18652959572801622, -0.008118321308223852, 0.05159986078546479, -0.07925123957804693, -0.05733293899262709, -0.00732695230218614, -0.17386275649212243, 0.07735666077873059, 0.21189628922227963, 0.12947799725626627, 0.2610164108858765, -0.3860331062580748, -0.23335075714416673, 0.118707649172926, 0.1696962258248622, 0.05435816795918448, -0.08279864598418875, -0.24744044698911302, 0.06497034954974942, -0.1984744658392597, -0.21967403950763803, -0.00877325193141587, 0.08159645626738925, 0.03829799905210605, -0.16153282747234635, 0.12172042893984451, 0.010798196494980747, -0.029497965572177078, -0.056147835511465335, -0.0975323501948753, -0.07890447625360483, 0.10786335382626616, 0.1073496164814248, 0.059901892215591564, 0.19835567290509312, -0.1828227005577807, -0.04201997678871427, 0.41973746201858436, -0.047930836027231194, -0.07250627476505228, 0.20822616237424443, -0.1938268812084751, -0.1413156677133821, 0.11071363076615821, 0.12777954164354516, 0.04129399222739298, -0.15192894513140723, 0.04215557118857697, -0.049467454375378014, 0.21195776797509913, 0.05175824414192025, 0.04670208613681787, 0.36550544051790673, 0.10254387773075622, 0.059600755165868984, 0.05474974910461681, -0.12988180368094995, -0.09697527246316895, -0.20814092495029085, -0.10916477196914112, -0.15727888651449104, 0.042103065460807935, -0.09400518764395484, -0.14380101613893076, 0.3629512605819337, 0.12420953287550345, 0.2639233345438823, 0.05937728658117804, 0.27168812000509834, 0.0767897256280713, 0.130143741719778, 0.05031023315828422, 0.335948579230121, 0.1932071662018204, 0.08548585843326974, -0.250561625925535, 0.07713296832135429, -0.03738026709319895] |
707.4371 | A model for the study of the Shubnikov-de Haas and the integer quantum
Hall effects in a two dimensional electronic system | Up to know all the experimental results concerning the integer and fractional
quantum Hall effect are related to semiconductor heterostructures (and more
recently with graphene). The common characteristic of all these systems is the
presence of a reservoir of electrons, which, in fact, in the initial stage is
the source of the electrons, providing the two-dimensional electron gas (2DES).
Then, any physical realization of a 2DES is necessarily embedded in a 3D
structure, which establishes the Fermi level. Hence, the 2DES appears to be an
open system. In this paper we present an analytical approach to the integer
quantum Hall effect (IQHE) and the Shubnikov-de Haas (SdH) phenomena in the
2DES, basing us in fundamental principles and showing the secondary role of the
localized electron states in both phenomena. In fact, we show that the IQHE is
a consequence of the fluctuations of electrons in the 2DES. Once we obtain the
density of states of the 2DES under the application of a magnetic field we
calculate both magnetoconductivities (diagonal and Hall) deducing them from the
Boltzman semiclassical equation. The model proposed reproduces both phenomena,
the width of the Hall plateaus (with the precision reached in the experimental
measurements, of the order of 10-8-10-9) and the corresponding minima of the
diagonal magnetoresistivity, and also the dependence with temperature of the
IQHE and SdH.
| cond-mat.mes-hall cond-mat.mtrl-sci | up to know all the experimental results concerning the integer and fractional quantum hall effect are related to semiconductor heterostructures and more recently with graphene the common characteristic of all these systems is the presence of a reservoir of electrons which in fact in the initial stage is the source of the electrons providing the twodimensional electron gas 2des then any physical realization of a 2des is necessarily embedded in a 3d structure which establishes the fermi level hence the 2des appears to be an open system in this paper we present an analytical approach to the integer quantum hall effect iqhe and the shubnikovde haas sdh phenomena in the 2des basing us in fundamental principles and showing the secondary role of the localized electron states in both phenomena in fact we show that the iqhe is a consequence of the fluctuations of electrons in the 2des once we obtain the density of states of the 2des under the application of a magnetic field we calculate both magnetoconductivities diagonal and hall deducing them from the boltzman semiclassical equation the model proposed reproduces both phenomena the width of the hall plateaus with the precision reached in the experimental measurements of the order of 108109 and the corresponding minima of the diagonal magnetoresistivity and also the dependence with temperature of the iqhe and sdh | [['up', 'to', 'know', 'all', 'the', 'experimental', 'results', 'concerning', 'the', 'integer', 'and', 'fractional', 'quantum', 'hall', 'effect', 'are', 'related', 'to', 'semiconductor', 'heterostructures', 'and', 'more', 'recently', 'with', 'graphene', 'the', 'common', 'characteristic', 'of', 'all', 'these', 'systems', 'is', 'the', 'presence', 'of', 'a', 'reservoir', 'of', 'electrons', 'which', 'in', 'fact', 'in', 'the', 'initial', 'stage', 'is', 'the', 'source', 'of', 'the', 'electrons', 'providing', 'the', 'twodimensional', 'electron', 'gas', '2des', 'then', 'any', 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707.4372 | Blocking a transition in a Free Choice net and what it tells about its
throughput | In a live and bounded Free Choice Petri net, pick a non-conflicting
transition. Then there exists a unique reachable marking in which no transition
is enabled except the selected one. For a routed live and bounded Free Choice
net, this property is true for any transition of the net. Consider now a live
and bounded stochastic routed Free Choice net, and assume that the routings and
the firing times are independent and identically distributed. Using the above
results, we prove the existence of asymptotic firing throughputs for all
transitions in the net. Furthermore the vector of the throughputs at the
different transitions is explicitly computable up to a multiplicative constant.
| cs.OH | in a live and bounded free choice petri net pick a nonconflicting transition then there exists a unique reachable marking in which no transition is enabled except the selected one for a routed live and bounded free choice net this property is true for any transition of the net consider now a live and bounded stochastic routed free choice net and assume that the routings and the firing times are independent and identically distributed using the above results we prove the existence of asymptotic firing throughputs for all transitions in the net furthermore the vector of the throughputs at the different transitions is explicitly computable up to a multiplicative constant | [['in', 'a', 'live', 'and', 'bounded', 'free', 'choice', 'petri', 'net', 'pick', 'a', 'nonconflicting', 'transition', 'then', 'there', 'exists', 'a', 'unique', 'reachable', 'marking', 'in', 'which', 'no', 'transition', 'is', 'enabled', 'except', 'the', 'selected', 'one', 'for', 'a', 'routed', 'live', 'and', 'bounded', 'free', 'choice', 'net', 'this', 'property', 'is', 'true', 'for', 'any', 'transition', 'of', 'the', 'net', 'consider', 'now', 'a', 'live', 'and', 'bounded', 'stochastic', 'routed', 'free', 'choice', 'net', 'and', 'assume', 'that', 'the', 'routings', 'and', 'the', 'firing', 'times', 'are', 'independent', 'and', 'identically', 'distributed', 'using', 'the', 'above', 'results', 'we', 'prove', 'the', 'existence', 'of', 'asymptotic', 'firing', 'throughputs', 'for', 'all', 'transitions', 'in', 'the', 'net', 'furthermore', 'the', 'vector', 'of', 'the', 'throughputs', 'at', 'the', 'different', 'transitions', 'is', 'explicitly', 'computable', 'up', 'to', 'a', 'multiplicative', 'constant']] | [-0.16005417054349727, 0.2003185405649922, -0.020297559452327814, 0.021117845486680217, -0.043415897602046075, -0.14646161447533151, 0.12609037270938808, 0.38593074450777337, -0.3030656165358695, -0.2268964208408513, 0.09821327488329686, -0.27164446318691426, -0.0997047317658805, 0.130221934040839, -0.04063014148480513, 0.019465877484022218, 0.027218375583602624, 0.12421358563005924, -0.05238976849200712, -0.23212435035754672, 0.27956136877077037, -0.051775902744636615, 0.29419307406483725, 0.04172347789968957, 0.1823624827052382, -0.01403807553949512, -0.0023217688991942187, 0.00925179479474371, -0.14436094227322346, 0.07030429893109778, 0.24080599230206148, 0.12484297802802757, 0.28503567646257577, -0.40477624488147823, -0.18765245975757186, 0.19824946639763022, 0.10802492173362142, 0.0724237701210024, -0.04207821177869019, -0.20960248358209024, 0.1418355278374458, -0.14063169078224086, -0.09770033068700948, -0.03189105192538012, 0.03758646806540624, 0.049521895256740125, -0.3195464704778384, 0.01487995336170901, 0.09032897795550525, 0.04902712385678156, -0.07469848583621735, -0.05949680292978883, -0.06521816330707886, 0.17224779799157244, 0.0019412388146685606, 0.06532180561493574, 0.11783383391712877, -0.0967694075037302, -0.11661932970640589, 0.328098891700872, -0.09135229344564405, -0.21423692588101734, 0.16481666555204852, -0.10847010323354467, -0.12134822253878652, 0.16030875916846773, 0.1310338678600436, 0.11481501499868252, -0.13756525452164087, 0.08639651125995443, -0.048323953535344286, 0.16665780775047923, 0.12964497278550302, -0.00028427639573981817, 0.17826704360883344, 0.12433651713231071, 0.13313777118243955, 0.1151122020367025, -0.015682020728391678, -0.14182056730020454, -0.3564462168057534, -0.11496831163213674, -0.1897467615432106, 0.07302263783798976, -0.08185662404258355, -0.19095722557130185, 0.35473997445607724, 0.11911985794801942, 0.2081246050752022, 0.14393885572208093, 0.252192022387912, 0.13858933307823132, 0.06294557146770371, 0.14107332991182125, 0.20377912891351363, 0.06393673350526528, 0.09099207308820703, -0.16500606965696948, 0.09343268155458975, 0.020365176448434465] |
707.4373 | Denjoy constructions for fibred homeomorphisms of the torus | We construct different types of quasiperiodically forced circle
homeomorphisms with transitive but non-minimal dynamics. Concerning the recent
Poincar\'e-like classification for this class of maps of Jaeger-Stark, we
demonstrate that transitive but non-minimal behaviour can occur in each of the
different cases. This closes one of the last gaps in the topological
classification. Actually, we are able to get some transitive quasiperiodically
forced circle homeomorphisms with rather complicated minimal sets. For example,
we show that, in some of the examples we construct, the unique minimal set is a
Cantor set and its intersection with each vertical fibre is uncountable and
nowhere dense (but may contain isolated points). We also prove that minimal
sets of the later kind cannot occur when the dynamics are given by the
projective action of a quasiperiodic SL(2,R)-cocycle. More precisely, we show
that, for a quasiperiodic SL(2,R)-cocycle, any minimal strict subset of the
torus either is a union of finitely many continuous curves, or contains at most
two points on generic fibres.
| math.DS | we construct different types of quasiperiodically forced circle homeomorphisms with transitive but nonminimal dynamics concerning the recent poincarelike classification for this class of maps of jaegerstark we demonstrate that transitive but nonminimal behaviour can occur in each of the different cases this closes one of the last gaps in the topological classification actually we are able to get some transitive quasiperiodically forced circle homeomorphisms with rather complicated minimal sets for example we show that in some of the examples we construct the unique minimal set is a cantor set and its intersection with each vertical fibre is uncountable and nowhere dense but may contain isolated points we also prove that minimal sets of the later kind cannot occur when the dynamics are given by the projective action of a quasiperiodic sl2rcocycle more precisely we show that for a quasiperiodic sl2rcocycle any minimal strict subset of the torus either is a union of finitely many continuous curves or contains at most two points on generic fibres | [['we', 'construct', 'different', 'types', 'of', 'quasiperiodically', 'forced', 'circle', 'homeomorphisms', 'with', 'transitive', 'but', 'nonminimal', 'dynamics', 'concerning', 'the', 'recent', 'poincarelike', 'classification', 'for', 'this', 'class', 'of', 'maps', 'of', 'jaegerstark', 'we', 'demonstrate', 'that', 'transitive', 'but', 'nonminimal', 'behaviour', 'can', 'occur', 'in', 'each', 'of', 'the', 'different', 'cases', 'this', 'closes', 'one', 'of', 'the', 'last', 'gaps', 'in', 'the', 'topological', 'classification', 'actually', 'we', 'are', 'able', 'to', 'get', 'some', 'transitive', 'quasiperiodically', 'forced', 'circle', 'homeomorphisms', 'with', 'rather', 'complicated', 'minimal', 'sets', 'for', 'example', 'we', 'show', 'that', 'in', 'some', 'of', 'the', 'examples', 'we', 'construct', 'the', 'unique', 'minimal', 'set', 'is', 'a', 'cantor', 'set', 'and', 'its', 'intersection', 'with', 'each', 'vertical', 'fibre', 'is', 'uncountable', 'and', 'nowhere', 'dense', 'but', 'may', 'contain', 'isolated', 'points', 'we', 'also', 'prove', 'that', 'minimal', 'sets', 'of', 'the', 'later', 'kind', 'can', 'not', 'occur', 'when', 'the', 'dynamics', 'are', 'given', 'by', 'the', 'projective', 'action', 'of', 'a', 'quasiperiodic', 'sl2rcocycle', 'more', 'precisely', 'we', 'show', 'that', 'for', 'a', 'quasiperiodic', 'sl2rcocycle', 'any', 'minimal', 'strict', 'subset', 'of', 'the', 'torus', 'either', 'is', 'a', 'union', 'of', 'finitely', 'many', 'continuous', 'curves', 'or', 'contains', 'at', 'most', 'two', 'points', 'on', 'generic', 'fibres']] | [-0.19890296968068652, 0.13294945151132298, -0.03371624919968697, 0.07101536394979667, -0.078797869224307, -0.15297936146187543, 0.03285484498743813, 0.37952884846006985, -0.2862329904020027, -0.1902967278268531, 0.13480650445202114, -0.3092116769203242, -0.16028973858580678, 0.25636813068402464, -0.1319444823633034, 0.016397133078554678, 0.07987795984501053, 0.10189150459493047, -0.07028632645889477, -0.27808387326490863, 0.37945891676779175, -0.08877061328285037, 0.18217094503828765, 0.01339310492200354, 0.09891620821225246, -0.042425909910231055, 0.002933060181858532, 0.05849505655483892, -0.14339706155509357, 0.09924050951319421, 0.22544228502240696, 0.11241595501485824, 0.2356357297123027, -0.4014577504841645, -0.21813450514001806, 0.2261527407460166, 0.11106000436138522, 0.07693619222345939, -0.015516607043425484, -0.2391571777421364, 0.11103538322502439, -0.12849248215510436, -0.15912000001036775, -0.09797264141904796, 0.04735786759757374, 0.041791582507212745, -0.20218544183127538, -0.009850335377589885, 0.13699514488261078, 0.11019801175038964, -0.034983081963810315, -0.01562209348508551, -0.0931707373948802, 0.11116791533201253, 0.026306032341693535, 0.02512217163425396, 0.09127485363292823, -0.05248973991824, -0.10818260639585967, 0.3893821992414312, -0.06524240722354113, -0.24740097410062706, 0.2369085296708519, -0.19378926184462622, -0.20152344047006196, 0.13445720555934987, 0.10715078501647875, 0.10677423382155095, -0.08602805392707033, 0.11148674612039232, -0.13385424481853386, 0.14522811799007326, 0.10837666488658249, 0.001345709314786949, 0.20744059708517937, 0.1364999949672128, 0.11532646172538548, 0.15113528817963495, -0.020383974651168986, -0.05469293378156387, -0.3490436225329623, -0.10150019583960801, -0.1093974962853398, 0.09203980591848415, -0.09639566116005702, -0.22851686883557792, 0.4387370328550324, 0.1008780952678719, 0.22670166944353584, 0.07124093051644848, 0.2153864490279665, 0.052416091953565655, 0.04607790197742863, 0.10938920610030096, 0.17631055290012285, 0.05424639331662536, -0.038753406007551346, -0.12224851327268349, -0.005448577936275925, 0.11694193898380215] |
707.4374 | Visible and dark matter in M 31 - II. A dynamical model and dark matter
density distribution | In the present paper we derive the density distribution of dark matter (DM)
in a well-observed nearby disc galaxy, the Andromeda galaxy. From photometrical
and chemical evolution models constructed in the first part of the study (Tamm,
Tempel & Tenjes 2007 (arXiv:0707.4375), hereafter Paper I) we can calculate the
mass distribution of visible components (the bulge, the disc, the stellar halo,
the outer diffuse stellar halo). In the dynamical model we calculate stellar
rotation velocities along the major axis and velocity dispersions along the
major, minor and intermediate axes of the galaxy assuming triaxial velocity
dispersion ellipsoid. Comparing the calculated values with the collected
observational data, we find the amount of DM, which must be added to reach an
agreement with the observed rotation and dispersion data.
We conclude that within the uncertainties, the DM distributions by Moore,
Burkert, Navarro, Frenk & White (NFW) and the Einasto fit with observations
nearly at all distances. The NFW and Einasto density distributions give the
best fit with observations.
The total mass of M 31 with the NFW DM distribution is 1.19*10^12 M_sun, the
ratio of the DM mass to the visible mass is 10.0. For the Einasto DM
distribution, these values are 1.28*10^12 M_sun and 10.8. The ratio of the DM
mass to the visible mass inside the Holmberg radius is 1.75 for the NFW and the
Einasto distributions. For different cuspy DM distributions, the virial mass is
in a range 6.9-7.9*10^11 M_sun and the virial radius is ~150 kpc. The DM mean
densities inside 10 pc for cusped models are 33 and 16 M_sun pc^-3 for the NFW
and the Einasto profiles, respectively. For the cored Burkert profile, this
value is 0.06 M_sun pc^-3.
| astro-ph | in the present paper we derive the density distribution of dark matter dm in a wellobserved nearby disc galaxy the andromeda galaxy from photometrical and chemical evolution models constructed in the first part of the study tamm tempel tenjes 2007 arxiv07074375 hereafter paper i we can calculate the mass distribution of visible components the bulge the disc the stellar halo the outer diffuse stellar halo in the dynamical model we calculate stellar rotation velocities along the major axis and velocity dispersions along the major minor and intermediate axes of the galaxy assuming triaxial velocity dispersion ellipsoid comparing the calculated values with the collected observational data we find the amount of dm which must be added to reach an agreement with the observed rotation and dispersion data we conclude that within the uncertainties the dm distributions by moore burkert navarro frenk white nfw and the einasto fit with observations nearly at all distances the nfw and einasto density distributions give the best fit with observations the total mass of m 31 with the nfw dm distribution is 1191012 m_sun the ratio of the dm mass to the visible mass is 100 for the einasto dm distribution these values are 1281012 m_sun and 108 the ratio of the dm mass to the visible mass inside the holmberg radius is 175 for the nfw and the einasto distributions for different cuspy dm distributions the virial mass is in a range 69791011 m_sun and the virial radius is 150 kpc the dm mean densities inside 10 pc for cusped models are 33 and 16 m_sun pc3 for the nfw and the einasto profiles respectively for the cored burkert profile this value is 006 m_sun pc3 | [['in', 'the', 'present', 'paper', 'we', 'derive', 'the', 'density', 'distribution', 'of', 'dark', 'matter', 'dm', 'in', 'a', 'wellobserved', 'nearby', 'disc', 'galaxy', 'the', 'andromeda', 'galaxy', 'from', 'photometrical', 'and', 'chemical', 'evolution', 'models', 'constructed', 'in', 'the', 'first', 'part', 'of', 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707.4375 | Visible and dark matter in M31 - I. Properties of stellar components | We construct a structural model of the Andromeda Galaxy, simultaneously
corresponding to observed photometrical and kinematical data and chemical
abundances. In this paper we present the observed surface brightness, colour
and metallicity distributions, and compare them to the model galaxy. In Paper
II (Tempel, Tamm & Tenjes 2007) we present similar data for the kinematics, and
derive the mass distribution of the galaxy. On the basis of U, B, V, R, I and L
luminosity distributions, we construct the model galaxy as a superposition of
four axially symmetric stellar components: a bulge, a disc, an inner halo and
an extended diffuse halo. By using far-infrared imaging data of M31 and a thin
dust disc assumption, we derive dust-free surface brightness and colour
distributions. We find the total absorption corrected luminosity of M31 to be
L_B = (3.3+/-0.7)x10^10 L_sun, corresponding to an absolute luminosity M_B =
-20.8+/-0.2 mag. Of the total luminosity, 41% (0.57 mag) is obscured from us by
the dust inside M31. Using chemical evolution models, we calculate
mass-to-light ratios of the components, correspoding to the colour indices and
metallicities. We find the total intrinsic mass-to-light ratio of the visible
matter to be M/L_B=3.1-5.8 M_sun/L_sun and the total mass of visible matter
M_vis =(10-19)x10^10 M_sun. The use of the model parameters for a dynamical
analysis and for determining dark matter distribution is presented in Paper II.
| astro-ph | we construct a structural model of the andromeda galaxy simultaneously corresponding to observed photometrical and kinematical data and chemical abundances in this paper we present the observed surface brightness colour and metallicity distributions and compare them to the model galaxy in paper ii tempel tamm tenjes 2007 we present similar data for the kinematics and derive the mass distribution of the galaxy on the basis of u b v r i and l luminosity distributions we construct the model galaxy as a superposition of four axially symmetric stellar components a bulge a disc an inner halo and an extended diffuse halo by using farinfrared imaging data of m31 and a thin dust disc assumption we derive dustfree surface brightness and colour distributions we find the total absorption corrected luminosity of m31 to be l_b 3307x1010 l_sun corresponding to an absolute luminosity m_b 20802 mag of the total luminosity 41 057 mag is obscured from us by the dust inside m31 using chemical evolution models we calculate masstolight ratios of the components correspoding to the colour indices and metallicities we find the total intrinsic masstolight ratio of the visible matter to be ml_b3158 m_sunl_sun and the total mass of visible matter m_vis 1019x1010 m_sun the use of the model parameters for a dynamical analysis and for determining dark matter distribution is presented in paper ii | [['we', 'construct', 'a', 'structural', 'model', 'of', 'the', 'andromeda', 'galaxy', 'simultaneously', 'corresponding', 'to', 'observed', 'photometrical', 'and', 'kinematical', 'data', 'and', 'chemical', 'abundances', 'in', 'this', 'paper', 'we', 'present', 'the', 'observed', 'surface', 'brightness', 'colour', 'and', 'metallicity', 'distributions', 'and', 'compare', 'them', 'to', 'the', 'model', 'galaxy', 'in', 'paper', 'ii', 'tempel', 'tamm', 'tenjes', '2007', 'we', 'present', 'similar', 'data', 'for', 'the', 'kinematics', 'and', 'derive', 'the', 'mass', 'distribution', 'of', 'the', 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707.4376 | Characteristics of the Wave Function of Coupled Oscillators in
Semiquantum Chaos | Using the method of adiabatic invariants and the Born-Oppenheimer
approximation, we have successfully got the excited-state wave functions for a
pair of coupled oscillators in the so-called \textit{semiquantum chaos}. Some
interesting characteristics in the \textit{Fourier spectra} of the wave
functions and its \textit{Correlation Functions} in the regular and chaos
states have been found, which offers a new way to distinguish the regular and
chaotic states in quantum system.
| nlin.CD | using the method of adiabatic invariants and the bornoppenheimer approximation we have successfully got the excitedstate wave functions for a pair of coupled oscillators in the socalled textitsemiquantum chaos some interesting characteristics in the textitfourier spectra of the wave functions and its textitcorrelation functions in the regular and chaos states have been found which offers a new way to distinguish the regular and chaotic states in quantum system | [['using', 'the', 'method', 'of', 'adiabatic', 'invariants', 'and', 'the', 'bornoppenheimer', 'approximation', 'we', 'have', 'successfully', 'got', 'the', 'excitedstate', 'wave', 'functions', 'for', 'a', 'pair', 'of', 'coupled', 'oscillators', 'in', 'the', 'socalled', 'textitsemiquantum', 'chaos', 'some', 'interesting', 'characteristics', 'in', 'the', 'textitfourier', 'spectra', 'of', 'the', 'wave', 'functions', 'and', 'its', 'textitcorrelation', 'functions', 'in', 'the', 'regular', 'and', 'chaos', 'states', 'have', 'been', 'found', 'which', 'offers', 'a', 'new', 'way', 'to', 'distinguish', 'the', 'regular', 'and', 'chaotic', 'states', 'in', 'quantum', 'system']] | [-0.15059155790191708, 0.10458060445009985, -0.16975125201949567, 0.09360197841218024, 0.02792785338930447, -0.11574819044097129, 0.03604572143927781, 0.30732700834050775, -0.2561193005266515, -0.2339522923540437, 0.048757167394355885, -0.27752697608913435, -0.19961237992075356, 0.20051218291998588, 0.033772338393398306, 0.12521863864138583, 0.03731676054215341, 0.037443735421578764, -0.07721823595718226, -0.17628274194783333, 0.3222888052802194, 0.008287971985709824, 0.23563515456661469, 0.03622871278926278, 0.08227666161220634, -0.047575365360402924, 0.03966274454653489, -0.02997289936650883, -0.10958649502418032, 0.09076568218138577, 0.22350716686483021, 0.0955716572864207, 0.24990773167828043, -0.43214783603043266, -0.22598971680484034, 0.08202254003139609, 0.13698904051191427, 0.14614936780135118, -0.03479455189892289, -0.3292346077011616, 0.02529974803892952, -0.16727322963715502, -0.18015551725120255, -0.12111554875490115, 0.03777449535008407, 0.08066741041274685, -0.2230624113140176, 0.059187522997628104, 0.028257177098456657, 0.018928005233068357, -0.02179962180900585, -0.057117686174795824, -0.03766045798406457, 0.11810724635495606, -0.0419522300362587, 0.020714725085505932, 0.0576955099787676, -0.10487976934492702, -0.13941891554912383, 0.36649014948951925, -0.07537895783951337, -0.2228083138699841, 0.2158512603914873, -0.1682375699959018, -0.140032509059617, 0.1235676904801618, 0.1513234187820644, 0.11529358085527112, -0.1438455260782079, 0.10346514548556032, 0.007659467191622367, 0.09653060234180003, 0.09131592807049553, 0.1015503667859417, 0.18359027941231476, 0.07200896728670958, 0.027058393856736297, 0.17145087538907924, -0.07113254806167926, -0.14617652920864974, -0.23099544040407194, -0.14587678657985773, -0.17254265131795724, 0.019706947560983033, -0.05633124409183493, -0.2120814829726111, 0.5196241579074977, 0.09431045917286114, 0.15524918955722541, -0.005798909599737574, 0.23774413116784257, 0.16320681178264998, 0.057528833893946175, 0.06712365405859821, 0.29903806629811175, 0.17724207440165407, 0.07384313357937516, -0.21860612477317, 0.025133443636481057, 0.05109910614026541] |
707.4377 | Fractal dimension and size scaling of domains in thin films of
multiferroic BiFeO3 | We have analyzed the morphology of ferroelectric domains in very thin films
of multiferroic BiFeO3. Unlike the more common stripe domains observed in
thicker films BiFeO3 or in other ferroics, the domains tend not to be straight,
but irregular in shape, with significant domain wall roughening leading to a
fractal dimensionality. Also contrary to what is usually observed in other
ferroics, the domain size appears not to scale as the square root of the film
thickness. A model is proposed in which the observed domain size as a function
of film thickness can be directly linked to the fractal dimension of the
domains.
| cond-mat.mtrl-sci | we have analyzed the morphology of ferroelectric domains in very thin films of multiferroic bifeo3 unlike the more common stripe domains observed in thicker films bifeo3 or in other ferroics the domains tend not to be straight but irregular in shape with significant domain wall roughening leading to a fractal dimensionality also contrary to what is usually observed in other ferroics the domain size appears not to scale as the square root of the film thickness a model is proposed in which the observed domain size as a function of film thickness can be directly linked to the fractal dimension of the domains | [['we', 'have', 'analyzed', 'the', 'morphology', 'of', 'ferroelectric', 'domains', 'in', 'very', 'thin', 'films', 'of', 'multiferroic', 'bifeo3', 'unlike', 'the', 'more', 'common', 'stripe', 'domains', 'observed', 'in', 'thicker', 'films', 'bifeo3', 'or', 'in', 'other', 'ferroics', 'the', 'domains', 'tend', 'not', 'to', 'be', 'straight', 'but', 'irregular', 'in', 'shape', 'with', 'significant', 'domain', 'wall', 'roughening', 'leading', 'to', 'a', 'fractal', 'dimensionality', 'also', 'contrary', 'to', 'what', 'is', 'usually', 'observed', 'in', 'other', 'ferroics', 'the', 'domain', 'size', 'appears', 'not', 'to', 'scale', 'as', 'the', 'square', 'root', 'of', 'the', 'film', 'thickness', 'a', 'model', 'is', 'proposed', 'in', 'which', 'the', 'observed', 'domain', 'size', 'as', 'a', 'function', 'of', 'film', 'thickness', 'can', 'be', 'directly', 'linked', 'to', 'the', 'fractal', 'dimension', 'of', 'the', 'domains']] | [-0.08354416885752303, 0.12094697935814128, -0.06749591955607667, 0.01690634399950866, -0.1314190343989837, -0.09333441726347992, -0.004898827342153753, 0.4654517266537669, -0.30873311469240966, -0.26642259288109044, 0.11626299020147078, -0.25860390089705443, -0.10131224880709304, 0.18217721121675037, -0.05599919112525808, 0.02210301571317668, -0.08422094750448664, -0.021926760982080063, -0.049443578746540526, -0.21467355249937878, 0.2638814494384507, -0.04816939513587836, 0.3456080961967954, 0.05448222750779784, -0.025648714603801952, -0.11873641507519246, 0.10034705014013261, 0.09792784570029132, -0.15192740679112743, 0.05986973045685428, 0.2728242540819055, -0.07069692636604955, 0.19317286175865572, -0.4761072158524134, -0.2505960182549016, 0.052002763687587765, 0.1898332518136617, 0.09664268935781913, -0.009283042704552023, -0.250222419520831, 0.10182080532365378, -0.06568955427523955, -0.1563684000606531, -0.011315026469285672, 0.03945454372798355, 0.006979166786638495, -0.20128250001642617, 0.09845286466433323, 0.11583633061263313, 0.06987428745634637, -0.08260700958826155, -0.13488420776263313, -0.09615106778490601, 0.0624732455358506, 0.11800193327628257, 0.11552112368477997, 0.1652306705188838, -0.14645332551913934, -0.11286983979883992, 0.36960920056292007, -0.0008169829266742595, -0.2033249744422083, 0.22701156586951132, -0.2566526883363145, -0.030652229610866714, 0.16594073665554374, 0.1749238743877956, 0.11472668986738144, -0.12123009572438534, 0.059904424292803966, -0.017495703114901933, 0.2881053141600823, 0.1241976918553192, 0.032203403780761274, 0.17363326851893396, 0.2618040070208965, 0.04277350938227932, 0.1872601861131911, -0.12570287155222545, -0.062125740120711835, -0.2021958058320203, -0.1437152107833948, -0.24862094636943227, 0.01098949540868736, -0.1307235948235086, -0.2846125124171557, 0.3542551076021588, 0.10300298660396806, 0.20431806664977187, -0.04994803016611999, 0.20256552092948008, 0.029515189125464813, 0.2025871513393319, 0.006314269809540614, 0.22292880781754418, 0.08589336366700098, 0.18156698512298267, -0.19446785774226616, 0.15468162078030626, -0.019277812587549386] |
707.4378 | Anderson Transitions | The physics of Anderson transitions between localized and metallic phases in
disordered systems is reviewed. The term ``Anderson transition'' is understood
in a broad sense, including both metal-insulator transitions and
quantum-Hall-type transitions between phases with localized states. The
emphasis is put on recent developments, which include: multifractality of
critical wave functions, criticality in the power-law random banded matrix
model, symmetry classification of disordered electronic systems, mechanisms of
criticality in quasi-one-dimensional and two-dimensional systems and survey of
corresponding critical theories, network models, and random Dirac Hamiltonians.
Analytical approaches are complemented by advanced numerical simulations.
| cond-mat.mes-hall cond-mat.dis-nn | the physics of anderson transitions between localized and metallic phases in disordered systems is reviewed the term anderson transition is understood in a broad sense including both metalinsulator transitions and quantumhalltype transitions between phases with localized states the emphasis is put on recent developments which include multifractality of critical wave functions criticality in the powerlaw random banded matrix model symmetry classification of disordered electronic systems mechanisms of criticality in quasionedimensional and twodimensional systems and survey of corresponding critical theories network models and random dirac hamiltonians analytical approaches are complemented by advanced numerical simulations | [['the', 'physics', 'of', 'anderson', 'transitions', 'between', 'localized', 'and', 'metallic', 'phases', 'in', 'disordered', 'systems', 'is', 'reviewed', 'the', 'term', 'anderson', 'transition', 'is', 'understood', 'in', 'a', 'broad', 'sense', 'including', 'both', 'metalinsulator', 'transitions', 'and', 'quantumhalltype', 'transitions', 'between', 'phases', 'with', 'localized', 'states', 'the', 'emphasis', 'is', 'put', 'on', 'recent', 'developments', 'which', 'include', 'multifractality', 'of', 'critical', 'wave', 'functions', 'criticality', 'in', 'the', 'powerlaw', 'random', 'banded', 'matrix', 'model', 'symmetry', 'classification', 'of', 'disordered', 'electronic', 'systems', 'mechanisms', 'of', 'criticality', 'in', 'quasionedimensional', 'and', 'twodimensional', 'systems', 'and', 'survey', 'of', 'corresponding', 'critical', 'theories', 'network', 'models', 'and', 'random', 'dirac', 'hamiltonians', 'analytical', 'approaches', 'are', 'complemented', 'by', 'advanced', 'numerical', 'simulations']] | [-0.1855503433053532, 0.2113449026978204, -0.03559412970457987, 0.07977013873632356, 0.02557281162389504, -0.23180521077786884, 0.05399984487843129, 0.34701792126701725, -0.19474266552596645, -0.22082945590298023, 0.0793337115807639, -0.3562265206328643, -0.242325646802783, 0.12159165178403078, 0.06960088175831623, 0.12557026185322195, -0.01796597076619985, -0.09400356687124699, -0.14080605698969736, -0.16669287211236655, 0.327830426104527, 0.008621806158654152, 0.3155205675290637, 0.06214469837485462, -0.02498669954898056, -0.0192562110361553, 0.06194981775917514, -0.0092571248207742, -0.12930917684789947, 0.046805073075892746, 0.28623453214920597, -0.029239366136451242, 0.18684864286705727, -0.4662454645700192, -0.29427289837590787, 0.02499116770672782, 0.14712087255752376, 0.1088526642328048, -0.03570762891147126, -0.38593420335742573, -0.025334020355536092, -0.15700178574870832, -0.13517264527599177, -0.09636839736823834, 0.029449826952630796, 0.041176407014630656, -0.2348574650303651, 0.14303360760502357, 0.06182210927989374, 0.12539775012141113, -0.06458549134893923, -0.08213634061957559, -0.0319475929192718, 0.08634303670541774, 0.010796173466920292, 0.004278020207239415, 0.10934725448849701, -0.15438644510383406, -0.18943922499430074, 0.3913400077551443, 0.008954382441457241, -0.1086214720196421, 0.250127991461145, -0.15562803247193704, -0.13550672701670116, 0.14278491755812278, 0.17249105282888938, 0.04185270299253765, -0.10539210531034417, 0.12046305075856126, 0.016615743588772602, 0.12395610665822382, -0.07342345190424752, 0.07303485842121224, 0.2629463614555456, 0.19162041451581704, 0.0050698870552643655, 0.1372929910518309, -0.027474138079591655, -0.19286472684583597, -0.2528598777729497, -0.07748907066441031, -0.2436543860703066, 0.024275331999399317, -0.062382083545627964, -0.22894474295198278, 0.43469923682590966, 0.15238174780832744, 0.16550345083207935, -0.023364268119386848, 0.16348243082663225, 0.13407799169941936, -0.020354026357733434, 0.022657163300982084, 0.22036001970490782, 0.19496704726379804, 0.12904037151145198, -0.19622572952561002, 0.024252320308068027, 0.10617175346280458] |
707.4379 | Runge-Lenz Vector, Accidental SU(2) Symmetry, and Unusual Multiplets for
Motion on a Cone | We consider a particle moving on a cone and bound to its tip by $1/r$ or
harmonic oscillator potentials. When the deficit angle of the cone divided by
$2 \pi$ is a rational number, all bound classical orbits are closed.
Correspondingly, the quantum system has accidental degeneracies in the discrete
energy spectrum. An accidental SU(2) symmetry is generated by the rotations
around the tip of the cone as well as by a Runge-Lenz vector. Remarkably, some
of the corresponding multiplets have fractional ``spin'' and unusual
degeneracies.
| quant-ph hep-th math-ph math.MP | we consider a particle moving on a cone and bound to its tip by 1r or harmonic oscillator potentials when the deficit angle of the cone divided by 2 pi is a rational number all bound classical orbits are closed correspondingly the quantum system has accidental degeneracies in the discrete energy spectrum an accidental su2 symmetry is generated by the rotations around the tip of the cone as well as by a rungelenz vector remarkably some of the corresponding multiplets have fractional spin and unusual degeneracies | [['we', 'consider', 'a', 'particle', 'moving', 'on', 'a', 'cone', 'and', 'bound', 'to', 'its', 'tip', 'by', '1r', 'or', 'harmonic', 'oscillator', 'potentials', 'when', 'the', 'deficit', 'angle', 'of', 'the', 'cone', 'divided', 'by', '2', 'pi', 'is', 'a', 'rational', 'number', 'all', 'bound', 'classical', 'orbits', 'are', 'closed', 'correspondingly', 'the', 'quantum', 'system', 'has', 'accidental', 'degeneracies', 'in', 'the', 'discrete', 'energy', 'spectrum', 'an', 'accidental', 'su2', 'symmetry', 'is', 'generated', 'by', 'the', 'rotations', 'around', 'the', 'tip', 'of', 'the', 'cone', 'as', 'well', 'as', 'by', 'a', 'rungelenz', 'vector', 'remarkably', 'some', 'of', 'the', 'corresponding', 'multiplets', 'have', 'fractional', 'spin', 'and', 'unusual', 'degeneracies']] | [-0.19462183540210473, 0.2018298173953067, -0.0665281857309733, 0.08136835397589345, -0.04469754120205031, -0.16191565014725162, 0.04581487168886883, 0.33023956787317643, -0.26129595479429807, -0.31308349526249046, 0.0996952373899931, -0.2986298955511302, -0.12917921828311804, 0.15176382165288466, -0.028142150361524072, 0.02903188905762617, -0.013639571134347555, 0.08965648630996732, -0.09725881571513276, -0.18673866919274335, 0.34442420650360195, 0.0014088027393120493, 0.1938173013203236, 0.014637063441494869, 0.09918002922867619, 0.02823585273459727, 0.07428047510925247, -0.018272480066475826, -0.0745164146701004, 0.08749850234422876, 0.14978596425701884, 0.029423402535707452, 0.20063736429437995, -0.3856875222869391, -0.1709130957836372, 0.10577396535163008, 0.17356763593311053, 0.10592477373388964, -0.04013676470183486, -0.31611106356302665, 0.04049447559220933, -0.13867896475536792, -0.21704211672984583, -0.05869723324728913, 0.04909616977322933, 0.0013249065553726151, -0.1875478107655464, 0.08897974047549935, 0.0861058182226559, 0.07749748877269963, -0.03965336757544211, -0.11012042759847286, -0.11753586429810195, 0.06814742792935143, 0.09275801958337557, 0.05279520862779125, 0.12810534590362507, -0.13330632180711904, -0.1313935595261323, 0.40953334464236746, -0.06111986128082716, -0.23209992358677609, 0.10391436383496364, -0.15730039569614238, -0.0312931835597251, 0.15440974265423624, 0.10830264553146134, 0.11155439488221566, -0.08608717757069403, 0.16829011722895598, -0.04217102992900669, 0.10235986608719497, 0.09906956843143805, 0.03326184252753507, 0.26121043412794553, 0.05990761227981556, 0.1158918353680218, 0.12024521648336939, -0.11343634922225244, -0.08873486287653619, -0.33409074104802555, -0.14151445722483574, -0.20497256625838967, 0.10495247268442844, -0.07505388998089434, -0.1299931185623241, 0.4037277161381965, -0.016084548679510736, 0.25316291600249186, 0.013056415100690237, 0.2701226761131439, 0.15739264337854936, 0.05832103750300269, 0.03886997145275737, 0.2530078872741162, 0.14721585405438187, -0.0012321822334427474, -0.2554557426984227, -0.04770466327385674, 0.08311704287392109] |
707.438 | Nuclear matter with three-body forces from self-consistent spectral
calculations | We calculate the equation of state of nuclear matter in the self-consistent
T-matrix scheme including three-body nuclear interactions. We study the effect
of the three-body force on the self-energies and spectral functions of nucleons
in medium.
| nucl-th | we calculate the equation of state of nuclear matter in the selfconsistent tmatrix scheme including threebody nuclear interactions we study the effect of the threebody force on the selfenergies and spectral functions of nucleons in medium | [['we', 'calculate', 'the', 'equation', 'of', 'state', 'of', 'nuclear', 'matter', 'in', 'the', 'selfconsistent', 'tmatrix', 'scheme', 'including', 'threebody', 'nuclear', 'interactions', 'we', 'study', 'the', 'effect', 'of', 'the', 'threebody', 'force', 'on', 'the', 'selfenergies', 'and', 'spectral', 'functions', 'of', 'nucleons', 'in', 'medium']] | [-0.13569227124874791, 0.15231740883448058, -0.1632719101827307, 0.12182492266098659, 0.015628034921569958, -0.0011860265577625898, 0.033058615711828075, 0.3062335356242127, -0.22814631001609895, -0.25791712493325275, -0.10665001803621028, -0.3324131982711454, -0.05432184195766846, 0.0867827086088558, 0.14764399267733097, 0.0772671074502998, 0.004020589610768689, 0.03341784198871917, -0.1091428170653267, -0.1410385325014229, 0.4471470169309113, 0.004793502015268637, 0.12641535290620393, 0.20640397811722425, 0.049535106453630656, 0.12913042913553202, -0.02608624303765181, -0.055205142228967614, -0.14501582939798632, 0.013698344888527773, 0.17827965867602164, 0.010504004610184994, 0.1965996975130919, -0.5170602401097616, -0.20113201705842382, 0.10257470263685617, 0.14473855629977253, 0.19409629547347626, -0.06276521665859036, -0.2956043884365095, -0.07059871638193727, -0.29112070529825157, -0.15561545469487706, -0.1419343553069565, -0.0050200813113608295, 0.08117357454547244, -0.24338434057103264, 0.16374864408539402, -0.037912720950165145, -0.04927872879327171, -0.19501817329890198, -0.17080960360666117, 0.05711618215233708, 0.0602140835867936, 0.02156531262314982, -0.0038948933167072632, 0.20149623532779515, -0.24093748153083855, -0.029797300980943773, 0.46052206615503466, -0.06697060723995997, -0.15773981669917703, 0.11732229952596956, -0.19777750609339112, -0.09522655575225751, 0.12038207292142841, 0.25180580901602906, 0.13581704165941724, -0.22518325227105784, 0.12314623387161798, -0.05317289180432757, 0.15125594050106075, 0.0060502326685107416, 0.05653832299220893, 0.09457444125372502, 0.1583563750092354, -0.04113299283199012, 0.10294642092453109, -0.0961845063074078, -0.15556570794433355, -0.29739794983632034, -0.08081519779645735, -0.1787503966026836, -0.007635517873697811, -0.06331866952395002, -0.15651424896592894, 0.42826827457399, 0.0822684137771527, 0.12909674039757293, -0.05941086409923931, 0.3197238116214673, 0.13356036405699948, 0.037612618050641485, 0.039237168410585985, 0.34476905336002045, 0.25829582459603745, 0.002687984728254378, -0.4259443206505643, -0.03281855352947281, 0.11921231262385845] |
707.4381 | Electron-Positron Pair Loading and the Origin of the Upstream Magnetic
Field in GRB Shocks | We investigate here the effects of plasma instabilities driven by rapid
electron/positron pair cascades, which arise in the environment of GRB sources
as a result of back-scattering of a seed fraction of the original spectrum. The
injection of electron/positron pairs induces strong streaming motions in the
ambient medium. One therefore expects the pair-enriched medium ahead of the
forward shock to be strongly sheared on length scales comparable to the
radiation front thickness. Using three-dimensional particle-in-cell
simulations, we show that plasma instabilities driven by these streaming
electron/positron pairs are responsible for the excitation of
near-equipartition, turbulent magnetic fields. Our results reveal the
importance of the electromagnetic filamentation instability in ensuring an
effective coupling between electron/positron pairs and ions, and may help
explain the origin of large upstream fields in GRB shocks.
| astro-ph | we investigate here the effects of plasma instabilities driven by rapid electronpositron pair cascades which arise in the environment of grb sources as a result of backscattering of a seed fraction of the original spectrum the injection of electronpositron pairs induces strong streaming motions in the ambient medium one therefore expects the pairenriched medium ahead of the forward shock to be strongly sheared on length scales comparable to the radiation front thickness using threedimensional particleincell simulations we show that plasma instabilities driven by these streaming electronpositron pairs are responsible for the excitation of nearequipartition turbulent magnetic fields our results reveal the importance of the electromagnetic filamentation instability in ensuring an effective coupling between electronpositron pairs and ions and may help explain the origin of large upstream fields in grb shocks | [['we', 'investigate', 'here', 'the', 'effects', 'of', 'plasma', 'instabilities', 'driven', 'by', 'rapid', 'electronpositron', 'pair', 'cascades', 'which', 'arise', 'in', 'the', 'environment', 'of', 'grb', 'sources', 'as', 'a', 'result', 'of', 'backscattering', 'of', 'a', 'seed', 'fraction', 'of', 'the', 'original', 'spectrum', 'the', 'injection', 'of', 'electronpositron', 'pairs', 'induces', 'strong', 'streaming', 'motions', 'in', 'the', 'ambient', 'medium', 'one', 'therefore', 'expects', 'the', 'pairenriched', 'medium', 'ahead', 'of', 'the', 'forward', 'shock', 'to', 'be', 'strongly', 'sheared', 'on', 'length', 'scales', 'comparable', 'to', 'the', 'radiation', 'front', 'thickness', 'using', 'threedimensional', 'particleincell', 'simulations', 'we', 'show', 'that', 'plasma', 'instabilities', 'driven', 'by', 'these', 'streaming', 'electronpositron', 'pairs', 'are', 'responsible', 'for', 'the', 'excitation', 'of', 'nearequipartition', 'turbulent', 'magnetic', 'fields', 'our', 'results', 'reveal', 'the', 'importance', 'of', 'the', 'electromagnetic', 'filamentation', 'instability', 'in', 'ensuring', 'an', 'effective', 'coupling', 'between', 'electronpositron', 'pairs', 'and', 'ions', 'and', 'may', 'help', 'explain', 'the', 'origin', 'of', 'large', 'upstream', 'fields', 'in', 'grb', 'shocks']] | [-0.19061688334824375, 0.2532944651473931, -0.03485437770947241, 0.11320135328972425, -0.04563292540932218, -0.03064244357475008, -0.02892719658020024, 0.37700227892223315, -0.28419834713523207, -0.2661699420127731, -0.022281359182670712, -0.2786725833868751, -0.022161141872549285, 0.22640792694695008, 0.08492208219204958, -0.01766809651341576, 0.07932488895916881, -0.07947368948684576, 0.04700218541010354, -0.16217045119819187, 0.335141939841784, 0.15746405159768004, 0.27578072582434215, 0.07175288900303153, 0.0825744114529628, -0.042665228978372535, -0.019834040119670906, 0.007872036247191808, -0.09722714645954861, 0.03161038814399105, 0.1723889532373645, 0.051720303633751775, 0.2478390705700104, -0.5010412773833826, -0.27069375179708005, 0.0456004600542096, 0.1830186490650074, 0.10322385025300229, -0.10159623648416108, -0.2692802391552295, 0.052346396568016366, -0.16978019961299232, -0.15942541312139769, 0.02829736874331362, -0.010683404851274995, 0.09084158646157728, -0.30003470196209564, 0.10175522225617897, 0.0697432695905893, 0.013677413185136034, -0.07465598196364366, 0.03170310646091821, -0.05187771405773954, 0.03959669678633173, 0.11644440264655993, 0.05370138351662228, 0.20883032084585956, -0.2003150653738815, -0.09712909040435289, 0.4120757185603277, -0.057413078009938966, -0.09171151137874964, 0.23957819543205774, -0.2052681447741074, -0.05168342410783785, 0.23829207576524752, 0.21883395900949837, 0.06572104803322312, -0.09088704885843281, -0.004498103964886888, -0.032307573780417445, 0.11896629131649836, 0.08753354417410894, 0.059851508813265425, 0.2571850729246552, 0.14454300855062543, -0.010094326720214807, 0.15168799079972534, -0.11685485330302842, -0.004413652677948659, -0.32132207026275306, -0.11867830400140239, -0.1068189163871396, 0.05369938716937143, -0.07407719380851352, -0.16081146119619147, 0.3670389476411331, 0.19125318058067933, 0.1840366955488347, -0.0921530658316512, 0.29655228230314185, 0.10306785673243352, 0.03270250944769941, 0.14333096256551262, 0.3024989284145144, 0.16159556053954965, 0.1094535036254316, -0.2671576469688891, 0.054119692327311404, 0.05619235503344008] |
707.4382 | On the Hamiltonian structure of Hirota-Kimura discretization of the
Euler top | This paper deals with a remarkable integrable discretization of the so(3)
Euler top introduced by Hirota and Kimura. Such a discretization leads to an
explicit map, whose integrability has been understood by finding two
independent integrals of motion and a solution in terms of elliptic functions.
Our goal is the construction of its Hamiltonian formulation. After giving a
simplified and streamlined presentation of their results, we provide a
bi-Hamiltonian structure for this discretization, thus proving its
integrability in the standard Liouville-Arnold sense.
| math-ph math.MP nlin.SI | this paper deals with a remarkable integrable discretization of the so3 euler top introduced by hirota and kimura such a discretization leads to an explicit map whose integrability has been understood by finding two independent integrals of motion and a solution in terms of elliptic functions our goal is the construction of its hamiltonian formulation after giving a simplified and streamlined presentation of their results we provide a bihamiltonian structure for this discretization thus proving its integrability in the standard liouvillearnold sense | [['this', 'paper', 'deals', 'with', 'a', 'remarkable', 'integrable', 'discretization', 'of', 'the', 'so3', 'euler', 'top', 'introduced', 'by', 'hirota', 'and', 'kimura', 'such', 'a', 'discretization', 'leads', 'to', 'an', 'explicit', 'map', 'whose', 'integrability', 'has', 'been', 'understood', 'by', 'finding', 'two', 'independent', 'integrals', 'of', 'motion', 'and', 'a', 'solution', 'in', 'terms', 'of', 'elliptic', 'functions', 'our', 'goal', 'is', 'the', 'construction', 'of', 'its', 'hamiltonian', 'formulation', 'after', 'giving', 'a', 'simplified', 'and', 'streamlined', 'presentation', 'of', 'their', 'results', 'we', 'provide', 'a', 'bihamiltonian', 'structure', 'for', 'this', 'discretization', 'thus', 'proving', 'its', 'integrability', 'in', 'the', 'standard', 'liouvillearnold', 'sense']] | [-0.1573735550273119, 0.036466440264165415, -0.12292155520081884, 0.05061371811728061, -0.10321290636571442, -0.1170721342162479, -0.012003248303322257, 0.30704741714317807, -0.29347872625036936, -0.25245758077902036, 0.11954609000566983, -0.2196297305550926, -0.17574133034000491, 0.15776305451986333, -0.1312067077733667, 0.08140173539513632, 0.10884968105635447, -0.0037136034576489203, -0.14484615079780314, -0.2627477831485477, 0.3219858998909774, 0.010782494823016771, 0.19856222306105603, 0.04962330452370935, 0.19508326511898236, -0.0005049912611068022, -0.07847443291145127, -0.03369516757793906, -0.142694686766623, 0.1551073192073623, 0.22948302394460615, 0.043266709062619355, 0.2390473881117409, -0.3749823560597511, -0.1538711618259407, 0.05727024215398493, 0.1798888098934052, 0.11387409529934081, -0.04395480507348732, -0.3026120013716381, 0.046064923165320626, -0.170501891809669, -0.22093792127945075, -0.11234678418614061, 0.016614362285131724, 0.008024618756480334, -0.23399336884726724, 0.050890518040055545, 0.15049785961646858, 0.09203980677113754, -0.05519458647851446, -0.07416708686207307, -0.030140033025839705, 0.054031393638380415, 0.03447761315364027, 0.05467969573829777, 0.0005257156586683378, -0.11587081105368803, -0.12085294970964286, 0.4073002643360779, -0.05535733994954016, -0.32586176630972724, 0.15680225485390642, -0.05684871112973225, -0.14804772772576388, 0.1244679508708054, 0.09772851249975402, 0.1300480846747211, -0.17615499074937116, 0.16164490868828668, -0.06971526402616646, 0.07989745082833417, 0.06958973897257592, 0.012622535467238688, 0.12549504809785725, 0.1732640614642239, 0.08401647829677819, 0.13639450386711738, 0.05383226136313524, -0.16584495545035546, -0.3486764129569254, -0.19563843954174223, -0.1494913388486588, 0.11646794879854452, -0.09178965885661367, -0.19671230751839353, 0.459623379678261, 0.09447409713459087, 0.16762219241070675, 0.09983870057139273, 0.23249905226218356, 0.18187156470248295, 0.027550177776436435, 0.029205838505110545, 0.19095169058887335, 0.18235260786818022, 0.09772892367867071, -0.20085792981724188, 0.01393902562445075, 0.22966865628458014] |
707.4383 | Quantum rotor description of the Mott-insulator transition in the
Bose-Hubbard model | We present the novel approach to the Bose-Hubbard model using the
$\mathrm{U}(1)$ quantum rotor description. The effective action formalism
allows us to formulate a problem in the phase only action and obtain an
analytical formulas for the critical lines. We show that the nontrivial
$\mathrm{U}(1)$ phase field configurations have an impact on the phase
diagrams. The topological character of the quantum field is governed by terms
of the integer charges - winding numbers. The comparison presented results to
recently obtained quantum Monte Carlo numerical calculations suggests that the
competition between quantum effects in strongly interacting boson systems is
correctly captured by our model.
| cond-mat.stat-mech | we present the novel approach to the bosehubbard model using the mathrmu1 quantum rotor description the effective action formalism allows us to formulate a problem in the phase only action and obtain an analytical formulas for the critical lines we show that the nontrivial mathrmu1 phase field configurations have an impact on the phase diagrams the topological character of the quantum field is governed by terms of the integer charges winding numbers the comparison presented results to recently obtained quantum monte carlo numerical calculations suggests that the competition between quantum effects in strongly interacting boson systems is correctly captured by our model | [['we', 'present', 'the', 'novel', 'approach', 'to', 'the', 'bosehubbard', 'model', 'using', 'the', 'mathrmu1', 'quantum', 'rotor', 'description', 'the', 'effective', 'action', 'formalism', 'allows', 'us', 'to', 'formulate', 'a', 'problem', 'in', 'the', 'phase', 'only', 'action', 'and', 'obtain', 'an', 'analytical', 'formulas', 'for', 'the', 'critical', 'lines', 'we', 'show', 'that', 'the', 'nontrivial', 'mathrmu1', 'phase', 'field', 'configurations', 'have', 'an', 'impact', 'on', 'the', 'phase', 'diagrams', 'the', 'topological', 'character', 'of', 'the', 'quantum', 'field', 'is', 'governed', 'by', 'terms', 'of', 'the', 'integer', 'charges', 'winding', 'numbers', 'the', 'comparison', 'presented', 'results', 'to', 'recently', 'obtained', 'quantum', 'monte', 'carlo', 'numerical', 'calculations', 'suggests', 'that', 'the', 'competition', 'between', 'quantum', 'effects', 'in', 'strongly', 'interacting', 'boson', 'systems', 'is', 'correctly', 'captured', 'by', 'our', 'model']] | [-0.16421909637603105, 0.17390865230660055, -0.10905147903352319, 0.05907945125135502, -0.030127916722467132, -0.1304474370873661, 0.05695272392054618, 0.3279188281911261, -0.2141737391779601, -0.29702721645726876, 0.014586114139734385, -0.2655460569739636, -0.20049103834739357, 0.19278272964726842, -0.0010636458668444653, 0.04787136226956386, 0.03693826221313108, 0.027738489082777033, -0.08347226825414919, -0.225727334865095, 0.2974501967284025, 0.023241330333072328, 0.2768653262698767, 0.06189705247022942, 0.10107572946021808, 0.03731200292389201, 0.03809897208759817, 0.027509674470981255, -0.17221265435335797, 0.09095062532658488, 0.1856908803582009, 0.02169309425459919, 0.16834446045515292, -0.43703734374367725, -0.22108946099658222, 0.0587682151874783, 0.13291576239919545, 0.16902023872506677, -0.04961005422656479, -0.332748436862055, 0.04974282602437169, -0.20953279292649207, -0.13699988087675735, -0.13483421289699846, -0.011145131358895086, -0.043243218304625915, -0.25854480653480794, 0.04476128578986105, 0.011158572085311307, 0.07112148698291218, -0.047031516862654256, -0.06941388804447271, -0.0030403586227775495, 0.11963034587382686, 0.024395550897643975, 0.03622476191387749, 0.09560051418877408, -0.15586931909909288, -0.18633194372295311, 0.3883334943458584, -0.04919917107669308, -0.21251208305943245, 0.16247568416463978, -0.1164939391664138, -0.11466740346604995, 0.13917666615224353, 0.10507501344945208, 0.13152978644140212, -0.12287476893477872, 0.12946611347176848, -0.031183041326299895, 0.16130610635759784, -0.05602608002064859, 0.010292521360622463, 0.23378863348169068, 0.110646994734256, 0.00048543272001267063, 0.1979142067156157, -0.06360992013394613, -0.2280595527468797, -0.31689861472513453, -0.15356923206501746, -0.18345697196291796, 0.03287996631800471, -0.09398549666737238, -0.1710159374245753, 0.4061489009170556, 0.20431909113939778, 0.16753976050320346, 0.03189158862840165, 0.2689419174019028, 0.18212702245492599, 0.03643666368489172, 0.02515859541702358, 0.22265297073103926, 0.16412584898609886, 0.04318778487561526, -0.289356630190513, -0.010363042635350105, 0.16198047523514605] |
707.4384 | Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics | We present a novel approach for model reduction of nonlinear dynamical
systems based on proper orthogonal decomposition (POD). Our method, derived
from Density Matrix Renormalization Group (DMRG), provides a significant
reduction in computational effort for the calculation of the reduced system,
compared to a POD. The efficiency of the algorithm is tested on the one
dimensional Burgers equations and a one dimensional equation of the Fisher type
as nonlinear model systems.
| physics.comp-ph physics.flu-dyn | we present a novel approach for model reduction of nonlinear dynamical systems based on proper orthogonal decomposition pod our method derived from density matrix renormalization group dmrg provides a significant reduction in computational effort for the calculation of the reduced system compared to a pod the efficiency of the algorithm is tested on the one dimensional burgers equations and a one dimensional equation of the fisher type as nonlinear model systems | [['we', 'present', 'a', 'novel', 'approach', 'for', 'model', 'reduction', 'of', 'nonlinear', 'dynamical', 'systems', 'based', 'on', 'proper', 'orthogonal', 'decomposition', 'pod', 'our', 'method', 'derived', 'from', 'density', 'matrix', 'renormalization', 'group', 'dmrg', 'provides', 'a', 'significant', 'reduction', 'in', 'computational', 'effort', 'for', 'the', 'calculation', 'of', 'the', 'reduced', 'system', 'compared', 'to', 'a', 'pod', 'the', 'efficiency', 'of', 'the', 'algorithm', 'is', 'tested', 'on', 'the', 'one', 'dimensional', 'burgers', 'equations', 'and', 'a', 'one', 'dimensional', 'equation', 'of', 'the', 'fisher', 'type', 'as', 'nonlinear', 'model', 'systems']] | [-0.10808755247525766, -0.01755962459186853, -0.14062726358607622, -0.0029743428417468363, -0.04512447019068288, -0.13069987230980112, 0.04244834183006954, 0.2975957134482779, -0.25654809448448285, -0.24454904266331398, 0.11761228506564832, -0.23899770869125783, -0.17985087761025823, 0.2243858369082273, -0.013478989227556847, 0.1126696142092557, 0.10740726815313625, 0.017391265583106538, -0.12481135305371398, -0.2279723076490869, 0.299857548818412, 0.03323362355815693, 0.3214538007528639, -0.0678555210658782, 0.17346740068710395, -0.007030422323790025, -0.06707543808258545, 0.04378757600895536, -0.08632418190614438, 0.16077680726417562, 0.2102799488151197, 0.09056536445367924, 0.2909915795628454, -0.3952682199035312, -0.264578952781961, 0.046018003732044725, 0.1345811960038165, 0.16256366199223507, -0.03593522427984002, -0.2691384338786904, 0.04750468697346432, -0.23584152194081057, -0.13694257541021831, -0.13255863146476027, -0.01843785598191997, -0.054261887465721706, -0.2750162631404442, 0.15078867017947348, 0.005118564287328463, 0.044766679104470034, -0.09004324281745603, -0.15349631613402456, -0.013487810987165906, 0.04433237969167006, -0.008780724378827383, 0.005465494914793633, 0.06834871215011243, -0.09533187972884265, -0.13065950637748858, 0.4377425313520599, -0.09052160791692022, -0.2719648501140551, 0.18955688384479621, -0.05675970185810412, -0.13266248894776678, 0.147961041247341, 0.2451113340425187, 0.09732770031764054, -0.11395308400281298, 0.09249649125948207, -0.04371246546802019, 0.19066085057779097, -0.03050445392727852, -0.03232514540809141, 0.06295600831246292, 0.2501865703822442, 0.09200009946304728, 0.10818062828276569, -0.04288441166412872, -0.09971166167795185, -0.2720287936578938, -0.17384032190213322, -0.20398249314494535, 0.042915558606438656, -0.1552289518997857, -0.1681352686136961, 0.425634854433822, 0.1683067226123301, 0.12683087119071837, 0.03998974955994898, 0.33994078541725453, 0.19814908110313642, 0.061764050281645964, 0.05063833571104726, 0.1790210840777612, 0.18744894256159453, 0.06787597025993844, -0.30525161149177016, -0.021741955068854377, 0.20253791669580404] |
707.4385 | Plurisubharmonic functions on the octonionic plane and Spin(9)-invariant
valuations on convex sets | A new class of plurisubharmonic functions on the octonionic plane O^2= R^{16}
is introduced. An octonionic version of theorems of A.D. Aleksandrov and Chern-
Levine-Nirenberg, and Blocki are proved. These results are used to construct
new examples of continuous translation invariant valuations on convex subsets
of O^2=R^{16}. In particular a new example of Spin(9)-invariant valuation on
R^{16} is given.
| math.MG math.CV | a new class of plurisubharmonic functions on the octonionic plane o2 r16 is introduced an octonionic version of theorems of ad aleksandrov and chern levinenirenberg and blocki are proved these results are used to construct new examples of continuous translation invariant valuations on convex subsets of o2r16 in particular a new example of spin9invariant valuation on r16 is given | [['a', 'new', 'class', 'of', 'plurisubharmonic', 'functions', 'on', 'the', 'octonionic', 'plane', 'o2', 'r16', 'is', 'introduced', 'an', 'octonionic', 'version', 'of', 'theorems', 'of', 'ad', 'aleksandrov', 'and', 'chern', 'levinenirenberg', 'and', 'blocki', 'are', 'proved', 'these', 'results', 'are', 'used', 'to', 'construct', 'new', 'examples', 'of', 'continuous', 'translation', 'invariant', 'valuations', 'on', 'convex', 'subsets', 'of', 'o2r16', 'in', 'particular', 'a', 'new', 'example', 'of', 'spin9invariant', 'valuation', 'on', 'r16', 'is', 'given']] | [-0.138476333875013, 0.019448296283627042, -0.0453193098094249, 0.09819646845081527, -0.12207701112748238, -0.13889300414736858, 0.01759884960687997, 0.3524524789107473, -0.2319222596114534, -0.1919305310645876, 0.11715876818593722, -0.26349989396699686, -0.1631874061075219, 0.26384700661149335, -0.18623726292137513, 0.0766030227471339, -0.030565307107999137, 0.002611483659660607, -0.09269726452858824, -0.29790759965646685, 0.3993508692896157, -0.04369579215958845, 0.19046282939808934, 0.06343893155357555, 0.10289905110798907, -0.001477416302485947, -0.06712762208394053, -0.00993280926425206, -0.19429404592435612, 0.18061873137035914, 0.23627107315941862, 0.12637875290391476, 0.22458965703845024, -0.34153131088405325, -0.12561009089021305, 0.1440275212782517, 0.0372564932004663, 0.016014838656573965, -0.04957816406181736, -0.3372197508681239, 0.07896944593123503, -0.1227565813562506, -0.14730366003973278, -0.1277793953358604, 0.04147788537502812, 0.03494223728449198, -0.28337144799399794, 0.009033617800461096, 0.07950017905973814, 0.12263978106835693, -0.11450405268962577, -0.14102542343173632, -0.07042275832377766, -0.0059316088853959455, 0.018597618031331843, 0.123550316539446, 0.07050381457073647, -0.02936097918274371, -0.1855428697410644, 0.37022519123070596, -0.03745636695244333, -0.26765906845072385, 0.13936601950084432, -0.09122728564564073, -0.18624293624031307, 0.07357887521778282, 0.16855212742168652, 0.1797022176089517, -0.08739621084685878, 0.16886381428942018, -0.16628622910694071, 0.09972411233997136, 0.09720372524635311, -0.004266255829287202, 0.1299302296288181, 0.05396255612651115, 0.12269817128483403, 0.1660805648037543, -0.01277325801927139, -0.11100243549516196, -0.34890905542201117, -0.1874405777147203, -0.19420197615685889, 0.1171819322268691, -0.0994389477229816, -0.19096267939006029, 0.39351163964653224, 0.02028053551258748, 0.15685831095304406, 0.11495827435793583, 0.180343304503415, 0.09200846572128828, 0.03870302186298527, 0.05099494393359412, 0.14273708826747902, 0.1517402651605376, 0.027201440536596795, -0.055567746132350805, -0.005974051085088337, 0.1813046107183031] |
707.4386 | Nonlinear Dirac equations on Riemann surfaces | We develop analytical methods for nonlinear Dirac equations. Examples of such
equations include Dirac-harmonic maps with curvature term and the equations
describing the generalized Weierstrass representation of surfaces in
three-manifolds. We provide the key analytical steps, i.e., small energy
regularity and removable singularity theorems and energy identities for
solutions.
| math.DG math.AP | we develop analytical methods for nonlinear dirac equations examples of such equations include diracharmonic maps with curvature term and the equations describing the generalized weierstrass representation of surfaces in threemanifolds we provide the key analytical steps ie small energy regularity and removable singularity theorems and energy identities for solutions | [['we', 'develop', 'analytical', 'methods', 'for', 'nonlinear', 'dirac', 'equations', 'examples', 'of', 'such', 'equations', 'include', 'diracharmonic', 'maps', 'with', 'curvature', 'term', 'and', 'the', 'equations', 'describing', 'the', 'generalized', 'weierstrass', 'representation', 'of', 'surfaces', 'in', 'threemanifolds', 'we', 'provide', 'the', 'key', 'analytical', 'steps', 'ie', 'small', 'energy', 'regularity', 'and', 'removable', 'singularity', 'theorems', 'and', 'energy', 'identities', 'for', 'solutions']] | [-0.16270626513097358, 0.007540201730265909, -0.08785510954580136, 0.15290060073460396, -0.10183653334269718, -0.18235146847306466, -0.053240723271227, 0.24469370594514267, -0.25838340294300294, -0.23533460433233758, 0.10433122027921965, -0.3466957450407196, -0.1881167355292876, 0.20079573540359127, -0.05915325151860942, 0.12333646787292495, 0.07691286401633098, -0.020004471302464872, -0.10742988712059295, -0.2116650974078636, 0.4433840932894726, -0.040938481624352235, 0.1996681777313732, 0.11256280753343385, 0.1989959133979009, -0.025247063278695758, -0.0397913222704843, -0.010708617730712404, -0.28960096923520373, 0.10550866525962341, 0.2946331007596181, 0.031168281936980024, 0.19871810188859093, -0.5005629369798972, -0.2391143753098286, 0.08089134487684588, 0.12609813725860902, 0.12475133067643156, -0.0766268141795786, -0.2646891682275704, 0.050601490649717806, -0.06633083541326378, -0.2559735745343627, -0.19145678860914647, -0.03343157335279547, 0.11305498000357908, -0.23643405701280856, 0.1465890332676318, 0.11248971056193113, 0.05168782902242407, -0.16856516669599378, -0.10149589851878736, -0.0420516851662221, 0.08126707538506206, 0.05506719550478975, -0.06878734886532231, 0.016777492223345503, -0.15065468615871302, -0.09682755812774507, 0.32506293339692816, -0.08706058413550562, -0.3395570997072726, 0.11202756212834193, -0.06649346362647353, -0.13080339688731699, 0.12936947169732682, 0.1601676062718794, 0.17184355790365716, -0.13240519357484062, 0.1655739545026243, 0.02523626754896677, 0.04940080600885712, 0.14889487365678866, 0.0077631227596073734, 0.13759355311643104, 0.05123400015338343, 0.06744776234714961, 0.11285118112454609, -0.013072858211745945, -0.1296936795543119, -0.4125653243794733, -0.19839423788445337, -0.09850108982253895, 0.13313246659022204, -0.18435648693709056, -0.22077040300153347, 0.4298491047277134, 0.08348310615259166, 0.09683991425043466, 0.11782406749469894, 0.2619505487382412, 0.2006911227897722, 0.022085648011036064, 0.11442789178797785, 0.13250319359405915, 0.19363281394982215, 0.1132128584597792, -0.11824674853028691, -0.07702714729845067, 0.23654602466113106] |
707.4387 | Backward stochastic differential equations with random stopping time and
singular final condition | In this paper we are concerned with one-dimensional backward stochastic
differential equations (BSDE in short) of the following type: \[Y_t=\xi
-\int_{t\wedge \tau}^{\tau}Y_r|Y_r|^q dr-\int_{t\wedge \tau}^{\tau}Z_r
dB_r,\qquad t\geq 0,\] where $\tau$ is a stopping time, $q$ is a positive
constant and $\xi$ is a $\mathcal{F}_{\tau}$-measurable random variable such
that $\mathbf{P}(\xi =+\infty)>0$. We study the link between these BSDE and the
Dirichlet problem on a domain $D\subset \mathbb{R}^d$ and with boundary
condition $g$, with $g=+\infty$ on a set of positive Lebesgue measure. We also
extend our results for more general BSDE.
| math.PR | in this paper we are concerned with onedimensional backward stochastic differential equations bsde in short of the following type y_txi int_twedge tautauy_ry_rq drint_twedge tautauz_r db_rqquad tgeq 0 where tau is a stopping time q is a positive constant and xi is a mathcalf_taumeasurable random variable such that mathbfpxi infty0 we study the link between these bsde and the dirichlet problem on a domain dsubset mathbbrd and with boundary condition g with ginfty on a set of positive lebesgue measure we also extend our results for more general bsde | [['in', 'this', 'paper', 'we', 'are', 'concerned', 'with', 'onedimensional', 'backward', 'stochastic', 'differential', 'equations', 'bsde', 'in', 'short', 'of', 'the', 'following', 'type', 'y_txi', 'int_twedge', 'tautauy_ry_rq', 'drint_twedge', 'tautauz_r', 'db_rqquad', 'tgeq', '0', 'where', 'tau', 'is', 'a', 'stopping', 'time', 'q', 'is', 'a', 'positive', 'constant', 'and', 'xi', 'is', 'a', 'mathcalf_taumeasurable', 'random', 'variable', 'such', 'that', 'mathbfpxi', 'infty0', 'we', 'study', 'the', 'link', 'between', 'these', 'bsde', 'and', 'the', 'dirichlet', 'problem', 'on', 'a', 'domain', 'dsubset', 'mathbbrd', 'and', 'with', 'boundary', 'condition', 'g', 'with', 'ginfty', 'on', 'a', 'set', 'of', 'positive', 'lebesgue', 'measure', 'we', 'also', 'extend', 'our', 'results', 'for', 'more', 'general', 'bsde']] | [-0.18168657903565255, 0.10370086889461051, -0.05720661389411508, 0.04703095847637289, -0.1274680604548826, -0.18470862540588887, 0.03536597255439164, 0.38476150082769217, -0.3266762330852173, -0.1345905640197021, 0.13418523247215758, -0.3281996110799136, -0.1049260824550817, 0.1706059211347666, -0.1044221277302706, 0.07082028454744521, 0.06824999014030636, 0.06906084218464884, -0.023648161840636606, -0.21187758961991396, 0.39171059569918815, -0.09750471333110775, 0.1375048122610207, 0.03206813921806989, 0.14771815735478827, -0.020419315285520788, -0.019126704859512823, 0.018009472638368607, -0.2184126788041918, 0.06338457087842449, 0.22803980375950536, 0.06125485483717955, 0.34973580865074455, -0.37179139190077504, -0.17128846969995878, 0.1744099325488931, 0.0917265490671177, 0.010632830212053693, -0.03690647354790004, -0.27902378224664265, 0.11480331921053154, -0.08641308028664854, -0.13082225203951015, 0.021450207959630607, 0.10801778757875716, 0.07489970839657119, -0.3785688495838348, 0.08200153114703874, 0.11047586497784603, 0.039313490922206346, -0.07519769623737645, -0.10849791729426081, 0.014287528087511474, 0.011417489320637636, 0.04910188513221564, 0.09104457517143016, 0.0007454902796005761, -0.05199313678571747, -0.10902728452807131, 0.30767271967811716, -0.13379583259998465, -0.3207662484528106, 0.15000887460615717, -0.20111191160057063, -0.14975115016424728, 0.09495248650718066, 0.1661291508274268, 0.2158189709585758, -0.14607665126706348, 0.161664514708258, -0.10152357388833928, 0.1317814441342453, 0.07055536912248274, -0.037569737058265114, 0.07840279288256517, 0.17697418894745226, 0.17491288958002388, 0.12372604969107075, -0.01411780761267392, -0.07831393786487573, -0.40783273552854854, -0.18001841196077473, -0.1523395515633402, 0.14174545156757956, -0.1268690648356835, -0.15922378887778815, 0.318608411030131, 0.11005845822301911, 0.20371793074832287, 0.15967366003925787, 0.19630004647245378, 0.21604849371134252, -0.0961601433278073, 0.06767186848446727, 0.0737940441288146, 0.15082681923170493, 0.13753621424203394, -0.2024117789955603, 0.07178910228533003, 0.10865788568777067] |
707.4388 | Direct observation of oxygen superstructures in manganites | We report the observation of superstructures associated with the oxygen
2p-states in two prototypical manganites using x-ray diffraction at the oxygen
K-edge. We determine the nature of the orderings and discuss our picture with
respect to novel theoretical models. In the stripe order system Bi0.31 Ca0.69
MnO3, hole-doped O states are found to be orbitally ordered, at the same
propagation vector as the Mn orbital ordering, but no evidence is found to
support a picture of oxygen charge stripes at this periodicity. In La 7/8 Sr
1/8 MnO3, we observe a 2p charge ordering described by alternating hole-poor
and hole-rich MnO planes that is consistent with recent predictions.
| cond-mat.str-el | we report the observation of superstructures associated with the oxygen 2pstates in two prototypical manganites using xray diffraction at the oxygen kedge we determine the nature of the orderings and discuss our picture with respect to novel theoretical models in the stripe order system bi031 ca069 mno3 holedoped o states are found to be orbitally ordered at the same propagation vector as the mn orbital ordering but no evidence is found to support a picture of oxygen charge stripes at this periodicity in la 78 sr 18 mno3 we observe a 2p charge ordering described by alternating holepoor and holerich mno planes that is consistent with recent predictions | [['we', 'report', 'the', 'observation', 'of', 'superstructures', 'associated', 'with', 'the', 'oxygen', '2pstates', 'in', 'two', 'prototypical', 'manganites', 'using', 'xray', 'diffraction', 'at', 'the', 'oxygen', 'kedge', 'we', 'determine', 'the', 'nature', 'of', 'the', 'orderings', 'and', 'discuss', 'our', 'picture', 'with', 'respect', 'to', 'novel', 'theoretical', 'models', 'in', 'the', 'stripe', 'order', 'system', 'bi031', 'ca069', 'mno3', 'holedoped', 'o', 'states', 'are', 'found', 'to', 'be', 'orbitally', 'ordered', 'at', 'the', 'same', 'propagation', 'vector', 'as', 'the', 'mn', 'orbital', 'ordering', 'but', 'no', 'evidence', 'is', 'found', 'to', 'support', 'a', 'picture', 'of', 'oxygen', 'charge', 'stripes', 'at', 'this', 'periodicity', 'in', 'la', '78', 'sr', '18', 'mno3', 'we', 'observe', 'a', '2p', 'charge', 'ordering', 'described', 'by', 'alternating', 'holepoor', 'and', 'holerich', 'mno', 'planes', 'that', 'is', 'consistent', 'with', 'recent', 'predictions']] | [-0.1561360873546129, 0.17228448672596222, 0.011895754226805786, 0.06950823956363959, -0.009084699366492434, -0.092790377084524, 0.11665044646360911, 0.45009580777528196, -0.2472874318034603, -0.30211742709294553, 0.01351290421511154, -0.3756831812296206, -0.1006981089594774, 0.08013696001188901, 0.04691561273424528, -0.05803504488610018, -0.026687060254446875, -0.012456836870674474, -0.12604058590099718, -0.2189815151684273, 0.25919879976852545, 0.02195754470393205, 0.28537286506392634, 0.028950968175195158, -0.006540036746838058, 0.02278747528907843, 0.059919345998563446, 0.03500716102784141, -0.14389234346757662, 0.0865835050325796, 0.26567433324862577, -0.014520330848217081, 0.1488421691286091, -0.4148114246602815, -0.16968376461703044, -0.027043539905347504, 0.1441023659527463, 0.1340208187578425, -0.09935990182790332, -0.2669082062247281, 0.10679820634350808, -0.12325617918563345, -0.15669546417372587, -0.07138292599791804, -0.008222025769870155, 0.017083464263683148, -0.24344831839418754, 0.10174923034187836, 0.07618422948647864, 0.10409290955151217, -0.15561050077443583, -0.14392914789473601, -0.11429200785530086, -0.009183456467536207, 0.052694515001628764, 0.09480096273294364, 0.0648322775176404, -0.02701279975791784, -0.1721553078118282, 0.3644698748830706, -0.032620936931030325, -0.061731807368162736, 0.1906296013800714, -0.23271373353194436, -0.11380721497474812, 0.17841363270865537, 0.06436940928660288, 0.11009370167560589, -0.1030226435552602, 0.03785547228926589, -0.04462417763604138, 0.2258017655963508, 0.05322888497567664, 0.0708257374297738, 0.26515704403237367, 0.1729881264764117, 0.05844468105799304, 0.09572832232515793, -0.12582729035113097, -0.05190039572502988, -0.21577723012216246, -0.1466569158348228, -0.1416947387579757, 0.009138548113137053, -0.03965690470655458, -0.1619801162652528, 0.3548521653507263, 0.12730040688676617, 0.23587353412921613, -0.08435340591957076, 0.19288522065975344, 0.07302434984460258, 0.028631132293062713, 0.02354308777452948, 0.23055343781687462, 0.14706358777654643, 0.12561076207874486, -0.28154305809249097, 0.12844814702111762, 0.03601282479492231] |
707.4389 | Separation Logic for Small-step Cminor | Cminor is a mid-level imperative programming language; there are
proved-correct optimizing compilers from C to Cminor and from Cminor to machine
language. We have redesigned Cminor so that it is suitable for Hoare Logic
reasoning and we have designed a Separation Logic for Cminor. In this paper, we
give a small-step semantics (instead of the big-step of the proved-correct
compiler) that is motivated by the need to support future concurrent
extensions. We detail a machine-checked proof of soundness of our Separation
Logic. This is the first large-scale machine-checked proof of a Separation
Logic w.r.t. a small-step semantics. The work presented in this paper has been
carried out in the Coq proof assistant. It is a first step towards an
environment in which concurrent Cminor programs can be verified using
Separation Logic and also compiled by a proved-correct compiler with formal
end-to-end correctness guarantees.
| cs.PL | cminor is a midlevel imperative programming language there are provedcorrect optimizing compilers from c to cminor and from cminor to machine language we have redesigned cminor so that it is suitable for hoare logic reasoning and we have designed a separation logic for cminor in this paper we give a smallstep semantics instead of the bigstep of the provedcorrect compiler that is motivated by the need to support future concurrent extensions we detail a machinechecked proof of soundness of our separation logic this is the first largescale machinechecked proof of a separation logic wrt a smallstep semantics the work presented in this paper has been carried out in the coq proof assistant it is a first step towards an environment in which concurrent cminor programs can be verified using separation logic and also compiled by a provedcorrect compiler with formal endtoend correctness guarantees | [['cminor', 'is', 'a', 'midlevel', 'imperative', 'programming', 'language', 'there', 'are', 'provedcorrect', 'optimizing', 'compilers', 'from', 'c', 'to', 'cminor', 'and', 'from', 'cminor', 'to', 'machine', 'language', 'we', 'have', 'redesigned', 'cminor', 'so', 'that', 'it', 'is', 'suitable', 'for', 'hoare', 'logic', 'reasoning', 'and', 'we', 'have', 'designed', 'a', 'separation', 'logic', 'for', 'cminor', 'in', 'this', 'paper', 'we', 'give', 'a', 'smallstep', 'semantics', 'instead', 'of', 'the', 'bigstep', 'of', 'the', 'provedcorrect', 'compiler', 'that', 'is', 'motivated', 'by', 'the', 'need', 'to', 'support', 'future', 'concurrent', 'extensions', 'we', 'detail', 'a', 'machinechecked', 'proof', 'of', 'soundness', 'of', 'our', 'separation', 'logic', 'this', 'is', 'the', 'first', 'largescale', 'machinechecked', 'proof', 'of', 'a', 'separation', 'logic', 'wrt', 'a', 'smallstep', 'semantics', 'the', 'work', 'presented', 'in', 'this', 'paper', 'has', 'been', 'carried', 'out', 'in', 'the', 'coq', 'proof', 'assistant', 'it', 'is', 'a', 'first', 'step', 'towards', 'an', 'environment', 'in', 'which', 'concurrent', 'cminor', 'programs', 'can', 'be', 'verified', 'using', 'separation', 'logic', 'and', 'also', 'compiled', 'by', 'a', 'provedcorrect', 'compiler', 'with', 'formal', 'endtoend', 'correctness', 'guarantees']] | [-0.11979030482503553, -0.030800288731058882, -0.1488372927069195, 0.07681292406905287, -0.17004267093758066, -0.1706867012605592, 0.07130657560012948, 0.3902219244493888, -0.2875659248231539, -0.29977163976266774, 0.08313006338161918, -0.19826123102240825, -0.10389133067915568, 0.18061467525842306, -0.1329105735745492, 0.09142656608035306, 0.05829126513449123, 0.0022614162636699375, -0.04282341453969687, -0.2185889490573973, 0.2666131605563516, 0.026874398968957523, 0.2089465985699863, 0.06617092541451533, 0.088426042912313, 0.010854641737585718, 0.014066062815539487, 0.03417381519204253, -0.053687492522579566, 0.14500330514241974, 0.3908240023684538, 0.28907481705203286, 0.33957997878192814, -0.41391056594992437, -0.0738305364844513, 0.0045933656107920865, 0.10101594208614327, 0.11370307092401817, -0.0372093417518935, -0.32641240486783996, 0.1391151177699326, -0.22575788836848068, -0.002328071420869002, -0.1322871095767909, 0.06527178800075438, -0.011204788883027809, -0.20329823489366033, -0.11712946541712398, 0.2217052006390649, 0.17035364437118902, 0.00032298947306727614, -0.0691186154694329, 0.0009547481451743653, 0.057321203885586945, -0.034842256073989754, 0.07224200177006423, 0.11364475521096191, -0.018133491670087605, -0.19565178304454767, 0.3414998568490252, -0.027723710830128017, -0.1803753013768188, 0.19227204545664803, 0.0182241391442664, -0.23552119135009972, 0.06785690017904226, 0.1256863202678261, 0.1294663663484625, -0.2029564734092438, 0.1275811353034887, -0.029013691557949032, 0.26806846417656, 0.09597504130154327, 0.007394414883549813, 0.21206876126254773, 0.25457672245956803, 0.00024994245976196614, 0.19154943627634222, 0.051193918524817986, -0.07914166513283352, -0.33661889034759745, -0.2251547351023638, -0.10078655695217056, -0.050688504606120656, -0.004128075207740726, -0.13573505998087618, 0.3485763249072162, 0.2260488766063187, 0.06935599960152294, 0.19962576112849964, 0.35120755379329194, 0.10251948457956965, 0.13255214486092043, 0.07417276417641165, 0.1769023955167903, 0.09861483979462222, 0.20525018171361692, -0.12804401464030876, 0.14779039576219824, 0.07094572850021084] |
707.439 | Control of the Casimir force by the modification of dielectric
properties with light | The experimental demonstration of the modification of the Casimir force
between a gold coated sphere and a single-crystal Si membrane by light pulses
is performed. The specially designed and fabricated Si membrane was irradiated
with 514 nm laser pulses of 5 ms width in high vacuum leading to a change of
the charge-carrier density. The difference in the Casimir force in the presence
and in the absence of laser radiation was measured by means of an atomic force
microscope as a function of separation at different powers of the absorbed
light. The total experimental error of the measured force differences at a
separation of 100 nm varies from 10 to 20% in different measurements. The
experimental results are compared with theoretical computations using the
Lifshitz theory at both zero and laboratory temperatures. The total theoretical
error determined mostly by the uncertainty in the concentration of charge
carriers when the light is incident is found to be about 14% at separations
less than 140 nm. The experimental data are consistent with the Lifshitz theory
at laboratory temperature, if the static dielectric permittivity of
high-resistivity Si in the absence of light is assumed to be finite. If the dc
conductivity of high-resistivity Si in the absence of light is included into
the model of dielectric response, the Lifshitz theory at nonzero temperature is
shown to be experimentally inconsistent at 95% confidence. The demonstrated
phenomenon of the modification of the Casimir force through a change of the
charge-carrier density is topical for applications of the Lifshitz theory to
real materials in fields ranging from nanotechnology and condensed matter
physics to the theory of fundamental interactions.
| cond-mat.stat-mech quant-ph | the experimental demonstration of the modification of the casimir force between a gold coated sphere and a singlecrystal si membrane by light pulses is performed the specially designed and fabricated si membrane was irradiated with 514 nm laser pulses of 5 ms width in high vacuum leading to a change of the chargecarrier density the difference in the casimir force in the presence and in the absence of laser radiation was measured by means of an atomic force microscope as a function of separation at different powers of the absorbed light the total experimental error of the measured force differences at a separation of 100 nm varies from 10 to 20 in different measurements the experimental results are compared with theoretical computations using the lifshitz theory at both zero and laboratory temperatures the total theoretical error determined mostly by the uncertainty in the concentration of charge carriers when the light is incident is found to be about 14 at separations less than 140 nm the experimental data are consistent with the lifshitz theory at laboratory temperature if the static dielectric permittivity of highresistivity si in the absence of light is assumed to be finite if the dc conductivity of highresistivity si in the absence of light is included into the model of dielectric response the lifshitz theory at nonzero temperature is shown to be experimentally inconsistent at 95 confidence the demonstrated phenomenon of the modification of the casimir force through a change of the chargecarrier density is topical for applications of the lifshitz theory to real materials in fields ranging from nanotechnology and condensed matter physics to the theory of fundamental interactions | [['the', 'experimental', 'demonstration', 'of', 'the', 'modification', 'of', 'the', 'casimir', 'force', 'between', 'a', 'gold', 'coated', 'sphere', 'and', 'a', 'singlecrystal', 'si', 'membrane', 'by', 'light', 'pulses', 'is', 'performed', 'the', 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707.4391 | A three-dimensional multidimensional gas-kinetic scheme for the
Navier-Stokes equations under gravitational fields | This paper extends the gas-kinetic scheme for one-dimensional inviscid
shallow water equations (J. Comput. Phys. 178 (2002), pp. 533-562) to
multidimensional gas dynamic equations under gravitational fields. Four
important issues in the construction of a well-balanced scheme for gas dynamic
equations are addressed. First, the inclusion of the gravitational source term
into the flux function is necessary. Second, to achieve second-order accuracy
of a well-balanced scheme, the Chapman-Enskog expansion of the Boltzmann
equation with the inclusion of the external force term is used. Third, to avoid
artificial heating in an isolated system under a gravitational field, the
source term treatment inside each cell has to be evaluated consistently with
the flux evaluation at the cell interface. Fourth, the multidimensional
approach with the inclusion of tangential gradients in two-dimensional and
three-dimensional cases becomes important in order to maintain the accuracy of
the scheme. Many numerical examples are used to validate the above issues,
which include the comparison between the solutions from the current scheme and
the Strang splitting method. The methodology developed in this paper can also
be applied to other systems, such as semi-conductor device simulations under
electric fields.
| physics.comp-ph physics.flu-dyn | this paper extends the gaskinetic scheme for onedimensional inviscid shallow water equations j comput phys 178 2002 pp 533562 to multidimensional gas dynamic equations under gravitational fields four important issues in the construction of a wellbalanced scheme for gas dynamic equations are addressed first the inclusion of the gravitational source term into the flux function is necessary second to achieve secondorder accuracy of a wellbalanced scheme the chapmanenskog expansion of the boltzmann equation with the inclusion of the external force term is used third to avoid artificial heating in an isolated system under a gravitational field the source term treatment inside each cell has to be evaluated consistently with the flux evaluation at the cell interface fourth the multidimensional approach with the inclusion of tangential gradients in twodimensional and threedimensional cases becomes important in order to maintain the accuracy of the scheme many numerical examples are used to validate the above issues which include the comparison between the solutions from the current scheme and the strang splitting method the methodology developed in this paper can also be applied to other systems such as semiconductor device simulations under electric fields | [['this', 'paper', 'extends', 'the', 'gaskinetic', 'scheme', 'for', 'onedimensional', 'inviscid', 'shallow', 'water', 'equations', 'j', 'comput', 'phys', '178', '2002', 'pp', '533562', 'to', 'multidimensional', 'gas', 'dynamic', 'equations', 'under', 'gravitational', 'fields', 'four', 'important', 'issues', 'in', 'the', 'construction', 'of', 'a', 'wellbalanced', 'scheme', 'for', 'gas', 'dynamic', 'equations', 'are', 'addressed', 'first', 'the', 'inclusion', 'of', 'the', 'gravitational', 'source', 'term', 'into', 'the', 'flux', 'function', 'is', 'necessary', 'second', 'to', 'achieve', 'secondorder', 'accuracy', 'of', 'a', 'wellbalanced', 'scheme', 'the', 'chapmanenskog', 'expansion', 'of', 'the', 'boltzmann', 'equation', 'with', 'the', 'inclusion', 'of', 'the', 'external', 'force', 'term', 'is', 'used', 'third', 'to', 'avoid', 'artificial', 'heating', 'in', 'an', 'isolated', 'system', 'under', 'a', 'gravitational', 'field', 'the', 'source', 'term', 'treatment', 'inside', 'each', 'cell', 'has', 'to', 'be', 'evaluated', 'consistently', 'with', 'the', 'flux', 'evaluation', 'at', 'the', 'cell', 'interface', 'fourth', 'the', 'multidimensional', 'approach', 'with', 'the', 'inclusion', 'of', 'tangential', 'gradients', 'in', 'twodimensional', 'and', 'threedimensional', 'cases', 'becomes', 'important', 'in', 'order', 'to', 'maintain', 'the', 'accuracy', 'of', 'the', 'scheme', 'many', 'numerical', 'examples', 'are', 'used', 'to', 'validate', 'the', 'above', 'issues', 'which', 'include', 'the', 'comparison', 'between', 'the', 'solutions', 'from', 'the', 'current', 'scheme', 'and', 'the', 'strang', 'splitting', 'method', 'the', 'methodology', 'developed', 'in', 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707.4392 | Effective low-dimensional Hamiltonian for strongly interacting atoms in
a transverse trap | We derive an effective low-dimensional Hamiltonian for strongly interacting
ultracold atoms in a transverse trapping potential near a wide Feshbach
resonance. The Hamiltonian includes crucial information about transverse
excitations in an effective model with renormalized interaction between atoms
and composite dressed molecules. We fix all the parameters in the Hamiltonian
for both one- and two-dimensional cases.
| cond-mat.other | we derive an effective lowdimensional hamiltonian for strongly interacting ultracold atoms in a transverse trapping potential near a wide feshbach resonance the hamiltonian includes crucial information about transverse excitations in an effective model with renormalized interaction between atoms and composite dressed molecules we fix all the parameters in the hamiltonian for both one and twodimensional cases | [['we', 'derive', 'an', 'effective', 'lowdimensional', 'hamiltonian', 'for', 'strongly', 'interacting', 'ultracold', 'atoms', 'in', 'a', 'transverse', 'trapping', 'potential', 'near', 'a', 'wide', 'feshbach', 'resonance', 'the', 'hamiltonian', 'includes', 'crucial', 'information', 'about', 'transverse', 'excitations', 'in', 'an', 'effective', 'model', 'with', 'renormalized', 'interaction', 'between', 'atoms', 'and', 'composite', 'dressed', 'molecules', 'we', 'fix', 'all', 'the', 'parameters', 'in', 'the', 'hamiltonian', 'for', 'both', 'one', 'and', 'twodimensional', 'cases']] | [-0.15415097001407826, 0.2469985395317573, 0.007878340198658407, 0.074144906663735, -0.003146507669173713, -0.1933065366631906, 0.0065332050102629834, 0.380901560586478, -0.20091165898650484, -0.27108215004305486, -0.09261445245231568, -0.3133747763599136, -0.10149690115524988, 0.15661998098117433, 0.07624493381341121, 0.04514310961323125, 0.06401785406550127, 0.04441302016909633, -0.06213024959184362, -0.177094295571026, 0.2960940368107653, 0.020981320687237064, 0.2142142113963408, 0.13390502406816399, 0.09302868957664552, 0.14624756725139118, 0.14674530550837517, -0.04989134921278752, -0.17349296666881336, 0.125839214771986, 0.2360326465828361, -0.06333405946913574, 0.2075077132820817, -0.41595483271937284, -0.22245493601076305, 0.06149891795523997, 0.22145995331395948, 0.22329454962164164, -0.04270479445611792, -0.29902656080334317, -0.11711107239326728, -0.164866987599193, -0.20021219017715858, -0.1725688737517755, 0.030340230923944285, 0.008531257942585009, -0.3032312575056234, 0.05005593062690293, 0.0360683683705117, 0.12043231936903405, -0.12760662836288766, -0.07662617531605065, -0.008588230736287577, 0.08750020924656253, -0.04216215613372957, 0.018297119560884312, 0.15049537372708852, -0.1874000286084733, -0.047540938772726804, 0.3915162407127874, -0.14845981800629357, -0.21434312403601194, 0.2100835009311725, -0.08965938065167782, -0.08588184304868005, 0.14521132239938847, 0.18248923436060846, 0.11875157005020551, -0.21422424519966757, 0.1283593304792053, -0.029825537066374506, 0.14256289671798836, 0.0025264097743534614, 0.09011794586798974, 0.2637740747803556, 0.12720994926556678, 0.06059717212753769, 0.1311663785433796, -0.08585853705049626, -0.1757672289719007, -0.2719072675764827, -0.1383485861421962, -0.22516169343517894, 0.02667681048790525, -0.08210666342919078, -0.16027672015063996, 0.44580279743032797, 0.14136572953845775, 0.22377101613009082, -0.097502165428263, 0.24898665020009503, 0.13033510581590235, 0.06438665569294244, 0.07677739108580031, 0.26076056103089024, 0.17423876022387827, 0.01474668547078701, -0.2996427716820368, -0.0935045490956067, 0.04633580768131651] |
707.4393 | Reversibility, heat dissipation and the importance of the thermal
environment in stochastic models of nonequilibrium steady states | We examine stochastic processes that are used to model nonequilibrium
processes (e.g, pulling RNA or dragging colloids) and so deliberately violate
detailed balance. We argue that by combining an information-theoretic measure
of irreversibility with nonequilibrium work theorems, the thermal physics
implied by abstract dynamics can be determined. This measure is bounded above
by thermodynamic entropy production and so may quantify how well a stochastic
dynamics models reality. We also use our findings to critique various modeling
approaches and notions arising in steady-state thermodynamics.
| cond-mat.stat-mech | we examine stochastic processes that are used to model nonequilibrium processes eg pulling rna or dragging colloids and so deliberately violate detailed balance we argue that by combining an informationtheoretic measure of irreversibility with nonequilibrium work theorems the thermal physics implied by abstract dynamics can be determined this measure is bounded above by thermodynamic entropy production and so may quantify how well a stochastic dynamics models reality we also use our findings to critique various modeling approaches and notions arising in steadystate thermodynamics | [['we', 'examine', 'stochastic', 'processes', 'that', 'are', 'used', 'to', 'model', 'nonequilibrium', 'processes', 'eg', 'pulling', 'rna', 'or', 'dragging', 'colloids', 'and', 'so', 'deliberately', 'violate', 'detailed', 'balance', 'we', 'argue', 'that', 'by', 'combining', 'an', 'informationtheoretic', 'measure', 'of', 'irreversibility', 'with', 'nonequilibrium', 'work', 'theorems', 'the', 'thermal', 'physics', 'implied', 'by', 'abstract', 'dynamics', 'can', 'be', 'determined', 'this', 'measure', 'is', 'bounded', 'above', 'by', 'thermodynamic', 'entropy', 'production', 'and', 'so', 'may', 'quantify', 'how', 'well', 'a', 'stochastic', 'dynamics', 'models', 'reality', 'we', 'also', 'use', 'our', 'findings', 'to', 'critique', 'various', 'modeling', 'approaches', 'and', 'notions', 'arising', 'in', 'steadystate', 'thermodynamics']] | [-0.05282627926656909, 0.17785493608340425, -0.1331650232559586, 0.14082965786366847, -0.06062702176508954, -0.1532159593259265, 0.08059747836900404, 0.3381108089787773, -0.32945586901988433, -0.2970712883734559, 0.03899822948382696, -0.2855913576569004, -0.17363892024641026, 0.1634367251690163, -0.10235265865697558, 0.05149350313088262, 0.013104312537036028, -0.05273444111969502, -0.006828035138188356, -0.14218393618420486, 0.3093601546463478, 0.09110994663942291, 0.2685950237876141, 0.1099583916688697, 0.08122329679261668, -0.0480011227394802, -0.03859046266164563, 0.0909956634740334, -0.22586094345199645, 0.09863228630555053, 0.22360458093926244, 0.15954378238284445, 0.25970984170403044, -0.48912647819842203, -0.27981015446270446, 0.11302126899182079, 0.12493849028983989, 0.14231545553284597, -0.023758134930198228, -0.27950509114146055, 0.006559465574212821, -0.16264266985277814, -0.11710537732747126, -0.16104014216871732, -0.028592295939080328, 0.06111400435939544, -0.2020845264645226, 0.09419420682818135, 0.10899393399195544, 0.08639759513414857, -0.04569169451168413, -0.045515439405768035, -0.029540881903067858, 0.1061429117823087, 0.058406498963406016, -0.035097679465515425, 0.26091104863121745, -0.08313958257919245, -0.1853037025381149, 0.3595868042945099, -0.07263180030038557, -0.24015761218531653, 0.22710784461842962, -0.12095094956345408, -0.1688951122720378, 0.0480361314467996, 0.14709178615832724, 0.10170728049846928, -0.24363232638507362, 0.041079282393841725, 0.004940382765987551, 0.1410106314032013, 0.0458513551240181, 0.026748725471187788, 0.21683239150253764, 0.13487431433343564, -0.005554421041834067, 0.16355198329870016, -0.004618530113990587, -0.1983661774366376, -0.30225216311189423, -0.132246610057731, -0.153568763414914, 0.10992774277566428, -0.057212098955537236, -0.11946835528206394, 0.28791538602392, 0.22412276319761099, 0.15878712278173632, 0.06582810847559967, 0.2943795024899833, 0.13956417058487927, -0.0242498679176332, 0.057941432559795406, 0.24664079295807934, 0.14686167036766656, 0.1131648382968662, -0.20802152449410993, 0.12413666076700103, 0.05814729141213802] |
707.4394 | Systematic errors in Gaussian Quantum Monte Carlo and a systematic study
of the symmetry projection method | Gaussian Quantum Monte Carlo (GQMC) is a stochastic phase space method for
fermions with positive weights. In the example of the Hubbard model close to
half filling it fails to reproduce all the symmetries of the ground state
leading to systematic errors at low temperatures. In a previous work [Phys.
Rev. B {\bf 72}, 224518 (2005)] we proposed to restore the broken symmetries by
projecting the density matrix obtained from the simulation onto the ground
state symmetry sector. For ground state properties, the accuracy of this method
depends on a {\it large overlap} between the GQMC and exact density matrices.
Thus, the method is not rigorously exact. We present the limits of the approach
by a systematic study of the method for 2 and 3 leg Hubbard ladders for
different fillings and on-site repulsion strengths. We show several indications
that the systematic errors stem from non-vanishing boundary terms in the
partial integration step in the derivation of the Fokker-Planck equation.
Checking for spiking trajectories and slow decaying probability distributions
provides an important test of the reliability of the results. Possible
solutions to avoid boundary terms are discussed. Furthermore we compare results
obtained from two different sampling methods: Reconfiguration of walkers and
the Metropolis algorithm.
| cond-mat.str-el | gaussian quantum monte carlo gqmc is a stochastic phase space method for fermions with positive weights in the example of the hubbard model close to half filling it fails to reproduce all the symmetries of the ground state leading to systematic errors at low temperatures in a previous work phys rev b bf 72 224518 2005 we proposed to restore the broken symmetries by projecting the density matrix obtained from the simulation onto the ground state symmetry sector for ground state properties the accuracy of this method depends on a it large overlap between the gqmc and exact density matrices thus the method is not rigorously exact we present the limits of the approach by a systematic study of the method for 2 and 3 leg hubbard ladders for different fillings and onsite repulsion strengths we show several indications that the systematic errors stem from nonvanishing boundary terms in the partial integration step in the derivation of the fokkerplanck equation checking for spiking trajectories and slow decaying probability distributions provides an important test of the reliability of the results possible solutions to avoid boundary terms are discussed furthermore we compare results obtained from two different sampling methods reconfiguration of walkers and the metropolis algorithm | [['gaussian', 'quantum', 'monte', 'carlo', 'gqmc', 'is', 'a', 'stochastic', 'phase', 'space', 'method', 'for', 'fermions', 'with', 'positive', 'weights', 'in', 'the', 'example', 'of', 'the', 'hubbard', 'model', 'close', 'to', 'half', 'filling', 'it', 'fails', 'to', 'reproduce', 'all', 'the', 'symmetries', 'of', 'the', 'ground', 'state', 'leading', 'to', 'systematic', 'errors', 'at', 'low', 'temperatures', 'in', 'a', 'previous', 'work', 'phys', 'rev', 'b', 'bf', '72', '224518', '2005', 'we', 'proposed', 'to', 'restore', 'the', 'broken', 'symmetries', 'by', 'projecting', 'the', 'density', 'matrix', 'obtained', 'from', 'the', 'simulation', 'onto', 'the', 'ground', 'state', 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707.4395 | Resonance phenomena in asymmetric superconducting quantum interference
devices | Theory of self induced resonances in asymmetric two-junction interferometer
device is presented. In real devices it is impossible to have an ideal
interferometer free of imperfections. Thus, we extended previous theoretical
approaches introducing a model which contains several asymmetries: Josephson
current $\epsilon$, capacitances $\chi$ and dissipation $\rho$ presented in an
equivalent circuit. Moreover, non conventional symmetry of the order parameter
in high temperature superconducting quantum interference devices forced us to
include phase asymmetries. Therefore, the model has been extended to the case
of $\pi$-shift interferometers, where a phase shift is present in one of the
junctions.
| cond-mat.supr-con | theory of self induced resonances in asymmetric twojunction interferometer device is presented in real devices it is impossible to have an ideal interferometer free of imperfections thus we extended previous theoretical approaches introducing a model which contains several asymmetries josephson current epsilon capacitances chi and dissipation rho presented in an equivalent circuit moreover non conventional symmetry of the order parameter in high temperature superconducting quantum interference devices forced us to include phase asymmetries therefore the model has been extended to the case of pishift interferometers where a phase shift is present in one of the junctions | [['theory', 'of', 'self', 'induced', 'resonances', 'in', 'asymmetric', 'twojunction', 'interferometer', 'device', 'is', 'presented', 'in', 'real', 'devices', 'it', 'is', 'impossible', 'to', 'have', 'an', 'ideal', 'interferometer', 'free', 'of', 'imperfections', 'thus', 'we', 'extended', 'previous', 'theoretical', 'approaches', 'introducing', 'a', 'model', 'which', 'contains', 'several', 'asymmetries', 'josephson', 'current', 'epsilon', 'capacitances', 'chi', 'and', 'dissipation', 'rho', 'presented', 'in', 'an', 'equivalent', 'circuit', 'moreover', 'non', 'conventional', 'symmetry', 'of', 'the', 'order', 'parameter', 'in', 'high', 'temperature', 'superconducting', 'quantum', 'interference', 'devices', 'forced', 'us', 'to', 'include', 'phase', 'asymmetries', 'therefore', 'the', 'model', 'has', 'been', 'extended', 'to', 'the', 'case', 'of', 'pishift', 'interferometers', 'where', 'a', 'phase', 'shift', 'is', 'present', 'in', 'one', 'of', 'the', 'junctions']] | [-0.23612666525392947, 0.15597963421381186, -0.07771406902368956, 0.010475249192192374, -0.06330966772414588, -0.20332493767879592, 0.0348103576094824, 0.37966900528408587, -0.21499614313749285, -0.2707150962329858, 0.014267019213245172, -0.2850828528753482, -0.12417688464483945, 0.19524987172432398, -0.037175111938267946, 0.06452902854653075, -0.020383799477713183, 0.005082167520110185, -0.022387588600395247, -0.17804049612944559, 0.26075051841295743, 0.043515213218900804, 0.2785789034193537, 0.04295266244056014, 0.04667091821708406, -0.06766998304616816, 0.03707280085654929, 0.035109682222052165, -0.1306574176317857, 0.02255920222766387, 0.26109934377503424, -0.00015085815903148614, 0.16998708405784177, -0.4736900870630052, -0.2170362409184842, 0.11213588021928445, 0.13268240551891117, 0.13210150280186403, -0.015803335544963677, -0.29536411305646953, 0.0325532877468504, -0.20739808664802695, -0.12441532856822353, -0.05278299888595939, 0.03173492622348325, -0.04548536441870965, -0.2684123275588111, 0.048701111149663724, 0.049017662154559126, 0.0266241324134171, 0.021392672182931467, -0.09767116775037721, 0.02916420805559028, 0.05123522810754366, -0.042050386327900924, 0.02149085015723055, 0.130534648438091, -0.12575489689303745, -0.13259531676400607, 0.333380751311779, -0.04903873722772308, -0.1820428896365532, 0.13000546538387425, -0.16333119426174866, -0.06455204049416352, 0.1377106036331194, 0.11023283981679317, 0.073667390436943, -0.126148319686763, 0.11386540025159775, 0.026450704875363346, 0.1814008248426641, 0.04658759285424215, 0.07415166952705476, 0.20228188578039408, 0.18452790362061933, 0.06403443675905389, 0.1592827969531451, -0.10120778556059425, -0.1030498917219423, -0.3067916843477481, -0.1404515489108841, -0.16061714748987774, 0.03796488830994349, -0.025151717595235823, -0.1706347779496961, 0.37056294244636473, 0.19231595830448592, 0.16110471203379953, -0.0705544068562934, 0.36300329784474644, 0.14603095352261639, 0.11075792932509405, -0.024642701469322976, 0.24953627792031816, 0.20336197460710537, 0.10333609457787436, -0.2490388735944483, 0.0254379551212575, -0.03896355243826596] |
707.4396 | La $\mathrm{Z}_l$-cohomologie du mod\`ele de Deligne-Carayol est sans
torsion | This article is the $\mathrm{Z}_l$-version of my paper "Monodromie du
faisceau pervers des cycles \'evanescents de quelques vari\'et\'es de Shimura
simples" in Invent. Math. 2009 vol 177 pp. 239-280, where we study the
vanishing cycles of some unitary Shimura variety. The aim is to prove that the
cohomology sheaves of this complexe are free so that, thanks to the main
theorem of Berkovich on vanishing cycles, we can deduce that the
$\mathrm{Z}_l$-cohomology of the model of Deligne-Carayol is free. There will
be a second article which will be the $\mathrm{Z}_l$ version of my paper
"Conjecture de monodromie-poids pour quelques vari\'t\'es de Shimura unitaires"
in Compositio vol 146 part 2, pp. 367-403. The aim of this second article will
be to study the torsion of the cohomology groups of these Shimura varieties.
| math.AG math.NT math.RT | this article is the mathrmz_lversion of my paper monodromie du faisceau pervers des cycles evanescents de quelques varietes de shimura simples in invent math 2009 vol 177 pp 239280 where we study the vanishing cycles of some unitary shimura variety the aim is to prove that the cohomology sheaves of this complexe are free so that thanks to the main theorem of berkovich on vanishing cycles we can deduce that the mathrmz_lcohomology of the model of delignecarayol is free there will be a second article which will be the mathrmz_l version of my paper conjecture de monodromiepoids pour quelques varites de shimura unitaires in compositio vol 146 part 2 pp 367403 the aim of this second article will be to study the torsion of the cohomology groups of these shimura varieties | [['this', 'article', 'is', 'the', 'mathrmz_lversion', 'of', 'my', 'paper', 'monodromie', 'du', 'faisceau', 'pervers', 'des', 'cycles', 'evanescents', 'de', 'quelques', 'varietes', 'de', 'shimura', 'simples', 'in', 'invent', 'math', '2009', 'vol', '177', 'pp', '239280', 'where', 'we', 'study', 'the', 'vanishing', 'cycles', 'of', 'some', 'unitary', 'shimura', 'variety', 'the', 'aim', 'is', 'to', 'prove', 'that', 'the', 'cohomology', 'sheaves', 'of', 'this', 'complexe', 'are', 'free', 'so', 'that', 'thanks', 'to', 'the', 'main', 'theorem', 'of', 'berkovich', 'on', 'vanishing', 'cycles', 'we', 'can', 'deduce', 'that', 'the', 'mathrmz_lcohomology', 'of', 'the', 'model', 'of', 'delignecarayol', 'is', 'free', 'there', 'will', 'be', 'a', 'second', 'article', 'which', 'will', 'be', 'the', 'mathrmz_l', 'version', 'of', 'my', 'paper', 'conjecture', 'de', 'monodromiepoids', 'pour', 'quelques', 'varites', 'de', 'shimura', 'unitaires', 'in', 'compositio', 'vol', '146', 'part', '2', 'pp', '367403', 'the', 'aim', 'of', 'this', 'second', 'article', 'will', 'be', 'to', 'study', 'the', 'torsion', 'of', 'the', 'cohomology', 'groups', 'of', 'these', 'shimura', 'varieties']] | [-0.19697513095423824, 0.05362442029701149, -0.18838246139796969, 0.039784939646659814, -0.09522804228176714, -0.07006685178131476, -0.06502029854140137, 0.19516189626540195, -0.24445530007303248, -0.27485790987667, 0.10960005904017321, -0.23941656753046775, -0.18683707694996332, 0.18228935353938858, -0.2853660469828937, -0.06513767325334617, 0.045828108408595206, -0.005883355170763174, 0.010422657700026499, -0.39343523334895003, 0.3811842830590217, 0.06845575439758965, 0.22074475943599445, 0.053690589949122215, 0.06603695102967322, 0.04623733450979239, -0.01570731968634197, -0.1343061735120709, -0.20941668302940775, 0.15983931884765015, 0.4017336165043907, 0.07517455653936343, 0.21542592364989344, -0.3710863676960351, -0.07735601612023216, 0.23925824391228132, 0.0608317022933243, 0.05714730045387949, 0.06455695967272986, -0.2819833224410283, 0.14986580379019093, -0.20802218326535382, -0.146713941371389, -0.035446609202467026, 0.025583135973677406, 0.04935980810722733, -0.16276046290199775, 0.038036814365978736, 0.11631653309402773, 0.18931507116153104, -0.06643752315173261, -0.13073872172533244, -0.07770893646052993, 0.015549899765946826, -0.02169294151397361, 0.09692878853987719, 0.056878323911032716, -0.03224818805637235, -0.10871055170313501, 0.34963137015211776, -0.07746379034685306, -0.07473566505264063, 0.1575040055293834, -0.1481276735296992, -0.23856660891629633, 0.07805934640746869, 0.10979906213851492, 0.15078423310359407, -0.038173324474301495, 0.23397651947576736, -0.07455558267223542, 0.0841307119098034, 0.18394385417541642, -0.08619342407891069, 0.10998747592837718, 0.050186092743924895, 0.01350833354975845, 0.0012085816382094608, -0.042374183723443475, -0.02800687439129001, -0.3783296740873427, -0.3105732053594633, -0.09245389815969546, 0.17066910895747972, 0.0010323082860253874, -0.15284056670116414, 0.3445648751412442, 0.09964080377802496, 0.1194913920881532, 0.10138655865667999, 0.14698700696138328, 0.0038653676337028135, -0.05163316337437537, 0.06531893002770109, 0.19211325023946405, 0.180374462775825, 0.12429090038506833, -0.1268526564479126, -0.08090978674590588, 0.20949730522106172] |
707.4397 | Ultracold collisions in magnetic fields: reducing inelastic cross
sections near Feshbach resonances | We have carried out bound-state and low-energy quantum scattering
calculations on He + NH (triplet Sigma) in magnetic fields, with the NH
molecule in its n=1 rotationally excited states. We have explored the pattern
of levels as a function of magnetic field and identified the nearly good
quantum numbers in different regimes. We have used the bound-state calculations
to locate low-energy Feshbach resonances. When the magnetic field is used to
tune across such a resonance, the real and imaginary part of the scattering
length show asymmetric oscillations and peaks with amplitude between 1 and 3
Angstroms. The scattering length does not pass through a pole at resonance. The
resonant behavior is characterized by a complex resonant scattering length
a_res. The corresponding inelastic cross sections show troughs as well as peaks
near resonance. This may be important for efforts to achieve evaporative and
sympathetic cooling for molecules, because it offers the hope that inelastic
trap losses can be reduced by tuning close to a Feshbach resonance.
| physics.chem-ph physics.atm-clus physics.atom-ph | we have carried out boundstate and lowenergy quantum scattering calculations on he nh triplet sigma in magnetic fields with the nh molecule in its n1 rotationally excited states we have explored the pattern of levels as a function of magnetic field and identified the nearly good quantum numbers in different regimes we have used the boundstate calculations to locate lowenergy feshbach resonances when the magnetic field is used to tune across such a resonance the real and imaginary part of the scattering length show asymmetric oscillations and peaks with amplitude between 1 and 3 angstroms the scattering length does not pass through a pole at resonance the resonant behavior is characterized by a complex resonant scattering length a_res the corresponding inelastic cross sections show troughs as well as peaks near resonance this may be important for efforts to achieve evaporative and sympathetic cooling for molecules because it offers the hope that inelastic trap losses can be reduced by tuning close to a feshbach resonance | [['we', 'have', 'carried', 'out', 'boundstate', 'and', 'lowenergy', 'quantum', 'scattering', 'calculations', 'on', 'he', 'nh', 'triplet', 'sigma', 'in', 'magnetic', 'fields', 'with', 'the', 'nh', 'molecule', 'in', 'its', 'n1', 'rotationally', 'excited', 'states', 'we', 'have', 'explored', 'the', 'pattern', 'of', 'levels', 'as', 'a', 'function', 'of', 'magnetic', 'field', 'and', 'identified', 'the', 'nearly', 'good', 'quantum', 'numbers', 'in', 'different', 'regimes', 'we', 'have', 'used', 'the', 'boundstate', 'calculations', 'to', 'locate', 'lowenergy', 'feshbach', 'resonances', 'when', 'the', 'magnetic', 'field', 'is', 'used', 'to', 'tune', 'across', 'such', 'a', 'resonance', 'the', 'real', 'and', 'imaginary', 'part', 'of', 'the', 'scattering', 'length', 'show', 'asymmetric', 'oscillations', 'and', 'peaks', 'with', 'amplitude', 'between', '1', 'and', '3', 'angstroms', 'the', 'scattering', 'length', 'does', 'not', 'pass', 'through', 'a', 'pole', 'at', 'resonance', 'the', 'resonant', 'behavior', 'is', 'characterized', 'by', 'a', 'complex', 'resonant', 'scattering', 'length', 'a_res', 'the', 'corresponding', 'inelastic', 'cross', 'sections', 'show', 'troughs', 'as', 'well', 'as', 'peaks', 'near', 'resonance', 'this', 'may', 'be', 'important', 'for', 'efforts', 'to', 'achieve', 'evaporative', 'and', 'sympathetic', 'cooling', 'for', 'molecules', 'because', 'it', 'offers', 'the', 'hope', 'that', 'inelastic', 'trap', 'losses', 'can', 'be', 'reduced', 'by', 'tuning', 'close', 'to', 'a', 'feshbach', 'resonance']] | [-0.113394401920388, 0.1931201440697833, -0.0377077888568829, 0.10486771375800774, -0.020141527162396287, -0.14889277077845633, 0.049467476800461214, 0.4177629223401927, -0.23917277149878946, -0.2963170339724769, 0.00564213208297119, -0.29322125045068426, -0.09619409865856833, 0.18195010224882902, 0.0871202716449607, 0.036616989699595155, 0.05058167008911631, 0.04017969880230222, -0.007352931652806607, -0.17370290416607095, 0.29734487796739384, 0.05442712229013763, 0.21950324234321278, 0.13865402520011447, 0.03419539694919999, 0.030366983090418798, 0.09986223541828661, -0.042198051541380906, -0.13770519056248706, 0.05841642873685956, 0.2962669042425453, -0.0010654098879934455, 0.18249555739168466, -0.4327268204051841, -0.18842831365421323, 0.07364283513529168, 0.2351781757194206, 0.13410713733316748, -0.004058839325372421, -0.2831598620981755, 0.007033445306716521, -0.08289495089371329, -0.16588188143321342, -0.11527989507635679, 0.013606793070754802, -0.0026291247380131775, -0.2760207709039281, 0.06228565580377275, -0.003757454127793206, 0.0917114973334457, -0.06634145823772997, -0.12403249177236132, -0.0196842183144706, 0.06231134349392424, 0.03723429848919937, 0.010631946028364491, 0.19737938341564654, -0.1251848415383052, -0.0973994901712321, 0.34021541151286677, -0.11217057521232159, -0.11598574305010353, 0.1775930902957802, -0.18217314951167515, -0.061417953324064245, 0.23219631078647324, 0.13426620250159269, 0.10023251529982988, -0.094497817190399, 0.06697925076280017, -0.007770309504692906, 0.17461988552862012, 0.12462420860431128, 0.04088533709991289, 0.24757007440049317, 0.1299768845205041, 0.007081584003611119, 0.09112752501944228, -0.17823171505755944, -0.058734615956164575, -0.26972787509575213, -0.10886544725740546, -0.1561189874423885, 0.054029568922766655, 0.012596720395905417, -0.14171736305179589, 0.3690073629612663, 0.09886435038864361, 0.2661032060366924, -0.057304801138159334, 0.27797302939969065, 0.175578388952553, 0.12325451455358988, 0.03608724878860946, 0.303782805720447, 0.18401541059445362, 0.07789696137380837, -0.3070079770647675, -0.00650432931282129, -0.035734222147705184] |
707.4398 | Pure state estimation and the characterization of entanglement | A connection between the state estimation problem and the separability
problem is noticed and exploited to find efficient numerical algorithms to
solve the first one. Based on these ideas, we also derive a systematic method
to obtain upper bounds on the maximum local fidelity when the states are
distributed among several distant parties.
| quant-ph | a connection between the state estimation problem and the separability problem is noticed and exploited to find efficient numerical algorithms to solve the first one based on these ideas we also derive a systematic method to obtain upper bounds on the maximum local fidelity when the states are distributed among several distant parties | [['a', 'connection', 'between', 'the', 'state', 'estimation', 'problem', 'and', 'the', 'separability', 'problem', 'is', 'noticed', 'and', 'exploited', 'to', 'find', 'efficient', 'numerical', 'algorithms', 'to', 'solve', 'the', 'first', 'one', 'based', 'on', 'these', 'ideas', 'we', 'also', 'derive', 'a', 'systematic', 'method', 'to', 'obtain', 'upper', 'bounds', 'on', 'the', 'maximum', 'local', 'fidelity', 'when', 'the', 'states', 'are', 'distributed', 'among', 'several', 'distant', 'parties']] | [-0.10761889911977188, 0.03499470881344575, -0.09812265733819243, 0.10877273283582532, -0.07237919702915088, -0.17107381010955236, 0.12408693185743858, 0.3728327058993702, -0.2763162396523117, -0.371187187871843, 0.13434250363728628, -0.24875860355513277, -0.13966175084406474, 0.23058970937206638, -0.04239200178604081, 0.08875752693780188, 0.05854773387875197, 0.05308728396259951, -0.11713002022918102, -0.28854970525036444, 0.28974095143527145, 0.010165136571059812, 0.3087664472185216, 0.06508998333845499, 0.10551466617100644, -0.02542772853553717, -0.03624597402676096, -0.01555826114314907, -0.15687805659330958, 0.18219686846824293, 0.2508256246669675, 0.15541738190881485, 0.3050041627841738, -0.4203420811736921, -0.15759007745193984, 0.14279597432721616, 0.11829134615199675, 0.16002232532834038, -0.018098025433367717, -0.30155411833580936, 0.0626500461443837, -0.11982347264464172, -0.06937320084082631, -0.07696226945603793, -0.008223575399309959, -0.030596455295552622, -0.2910741280131745, 0.08822623153056791, 0.010547626012373926, -0.017956302550133703, -0.0421877817496798, -0.0994473500704428, 0.06826409271408646, 0.13940933133960912, 0.020014448948028795, -0.03345578860596947, 0.055392378949964384, -0.061454271256291076, -0.14735179605349055, 0.307175871309877, 0.0014310111818870283, -0.2309270325108027, 0.17631762809084975, -0.050070804245067095, -0.16693341685459018, 0.04082872482227548, 0.2149932449112453, 0.16306947996699303, -0.1544904798274214, 0.009614878006824205, -0.05816798748553924, 0.1643131308143361, 0.024005319000625948, 0.06299375039788913, 0.14569930721267635, 0.07848049101490036, 0.1844726697067326, 0.1930611297523357, -0.07925587918890535, -0.1187358151348132, -0.2506185776009312, -0.13405880732637532, -0.2071503406425692, -0.010507454823280842, -0.08360199029238913, -0.11183995238443802, 0.3670958731112615, 0.179523072925941, 0.20008771150495927, 0.07798816304091576, 0.3292403777463819, 0.12572538578566514, -0.016405275358405528, 0.16003868801800428, 0.2935960123508747, 0.19778406310756252, 0.030125570079346874, -0.22565063903600258, 0.07865364884711662, 0.09741100918870631] |
707.4399 | Enumerating the Saneblidze-Umble diagonal terms | The author presents a computer implementation, calculating the terms of the
Saneblidze-Umble diagonals on the permutahedron and the associahedron. The code
is analyzed for correctness and presented in the paper, the source code of
which simultaneously represents both the paper and the program.
| math.CO math.AT | the author presents a computer implementation calculating the terms of the saneblidzeumble diagonals on the permutahedron and the associahedron the code is analyzed for correctness and presented in the paper the source code of which simultaneously represents both the paper and the program | [['the', 'author', 'presents', 'a', 'computer', 'implementation', 'calculating', 'the', 'terms', 'of', 'the', 'saneblidzeumble', 'diagonals', 'on', 'the', 'permutahedron', 'and', 'the', 'associahedron', 'the', 'code', 'is', 'analyzed', 'for', 'correctness', 'and', 'presented', 'in', 'the', 'paper', 'the', 'source', 'code', 'of', 'which', 'simultaneously', 'represents', 'both', 'the', 'paper', 'and', 'the', 'program']] | [-0.1382311987427307, -0.03837659334143003, -0.05309874934720851, 0.007830568869221247, -0.04062516228961093, -0.08805809195508205, 0.013784758319767812, 0.2994767339634044, -0.27469600220432594, -0.3209360764317569, 0.14343283257524794, -0.271262877709454, -0.14247837102240218, 0.1943236966395662, -0.07549119401457054, 0.06184707596410243, 0.09770713094621897, 0.015743930558008806, -0.03762530568721039, -0.2780990986863062, 0.34574962717791397, 0.12679812804396665, 0.22119668578462942, 0.09164556546048039, 0.11183433155972688, 0.050966121965930575, -0.08951076093528952, -0.01991312862152145, -0.1132008622045673, 0.19366921384685806, 0.23328150835420405, 0.1947357843386098, 0.20169304745892683, -0.35606317031418994, -0.11349659879869294, 0.02658669337896364, 0.12987586478924468, 0.12122622079914436, -0.043815817387353274, -0.2598614119702861, 0.07794261743713703, -0.16117677775522074, -0.07246971241242829, -0.013207737179029556, 0.016597988394399483, -0.006259904276313526, -0.20739909053026212, -0.0378382999361271, 0.08991133597945529, 0.10088112648753893, -0.026304883328044697, -0.139362554309801, -0.011571010441652365, 0.14382303223135837, 0.01978974467298637, 0.0750327688375754, 0.03859023045792821, -0.10174914076924324, -0.12771303816476748, 0.44168807601644877, 0.011291742324829102, -0.2075144497849535, 0.12227103771597501, -0.09641460056549736, -0.11657933970647198, 0.07367159794306471, 0.16683861129872857, 0.13582416905445002, -0.1437324015645399, 0.13296478569446618, -0.06658268852957658, 0.11857613468808788, 0.05295166830044417, -0.0012199333203690393, 0.16260376350865477, 0.13866786697568992, -0.03138458425001729, 0.24185403256255777, -0.0815233837624657, -0.09494569121549527, -0.3857031371444464, -0.21995061934216037, -0.2087193906218523, -0.09669054368333448, -0.04626459084968138, -0.15844854417567453, 0.5108972912033399, 0.16260794441526136, 0.11724352767868411, 0.10748176190481033, 0.3159458820841142, 0.07324979397734362, 0.04875290398264215, 0.12579467848298095, 0.16261465655684115, 0.13021806122491225, 0.10449197646119587, -0.2442021062265017, 0.12637637064437426, 0.1301357545889914] |
707.44 | Orbital structure in N-Body models of barred galaxies | We study the orbital structure of a self-consistent N-body equilibrium
configuration of a barred galaxy constructed from cosmological initial
conditions. The value of its spin parameter L is near the observed value of our
Galaxy L=0.22. We classify the orbits in regular and chaotic using a
combination of two different methods and find 60% of them to be chaotic. We
examine the phase space using projections of the 4D surfaces of section for
test particles as well as for real N-body particles. The real particles are not
uniformly distributed in the whole phase space but they avoid orbits that do
not support the bar. We use frequency analysis for the regular orbits as well
as for the chaotic ones to classify certain types of orbits of our
self-consistent system. We find the main resonant orbits and their statistical
weight in supporting the shape of the bar and we emphasize the role of weakly
chaotic orbits in supporting the boxiness at the end of the bar.
| astro-ph | we study the orbital structure of a selfconsistent nbody equilibrium configuration of a barred galaxy constructed from cosmological initial conditions the value of its spin parameter l is near the observed value of our galaxy l022 we classify the orbits in regular and chaotic using a combination of two different methods and find 60 of them to be chaotic we examine the phase space using projections of the 4d surfaces of section for test particles as well as for real nbody particles the real particles are not uniformly distributed in the whole phase space but they avoid orbits that do not support the bar we use frequency analysis for the regular orbits as well as for the chaotic ones to classify certain types of orbits of our selfconsistent system we find the main resonant orbits and their statistical weight in supporting the shape of the bar and we emphasize the role of weakly chaotic orbits in supporting the boxiness at the end of the bar | [['we', 'study', 'the', 'orbital', 'structure', 'of', 'a', 'selfconsistent', 'nbody', 'equilibrium', 'configuration', 'of', 'a', 'barred', 'galaxy', 'constructed', 'from', 'cosmological', 'initial', 'conditions', 'the', 'value', 'of', 'its', 'spin', 'parameter', 'l', 'is', 'near', 'the', 'observed', 'value', 'of', 'our', 'galaxy', 'l022', 'we', 'classify', 'the', 'orbits', 'in', 'regular', 'and', 'chaotic', 'using', 'a', 'combination', 'of', 'two', 'different', 'methods', 'and', 'find', '60', 'of', 'them', 'to', 'be', 'chaotic', 'we', 'examine', 'the', 'phase', 'space', 'using', 'projections', 'of', 'the', '4d', 'surfaces', 'of', 'section', 'for', 'test', 'particles', 'as', 'well', 'as', 'for', 'real', 'nbody', 'particles', 'the', 'real', 'particles', 'are', 'not', 'uniformly', 'distributed', 'in', 'the', 'whole', 'phase', 'space', 'but', 'they', 'avoid', 'orbits', 'that', 'do', 'not', 'support', 'the', 'bar', 'we', 'use', 'frequency', 'analysis', 'for', 'the', 'regular', 'orbits', 'as', 'well', 'as', 'for', 'the', 'chaotic', 'ones', 'to', 'classify', 'certain', 'types', 'of', 'orbits', 'of', 'our', 'selfconsistent', 'system', 'we', 'find', 'the', 'main', 'resonant', 'orbits', 'and', 'their', 'statistical', 'weight', 'in', 'supporting', 'the', 'shape', 'of', 'the', 'bar', 'and', 'we', 'emphasize', 'the', 'role', 'of', 'weakly', 'chaotic', 'orbits', 'in', 'supporting', 'the', 'boxiness', 'at', 'the', 'end', 'of', 'the', 'bar']] | [-0.15212449689414181, 0.1054090028571919, -0.10237806180645372, 0.07967316031969925, -0.02238318999155947, -0.05403021606048796, 0.02319726697595154, 0.3553178135033061, -0.24342761758612697, -0.274601385996836, 0.08960529408849231, -0.2496382928760041, -0.11696325762697109, 0.20124441113041872, -0.014767883328448346, 0.054100271785367714, 0.0704093933128184, 0.021710795889858428, -0.07101932148911945, -0.2370668218191429, 0.35749263368424866, 0.02192602313135001, 0.1519015450612642, -0.05026468538633752, 0.055868401319901576, 0.008927093553300038, -0.024222874735686475, 0.003922567270886403, -0.15560683995229227, 0.05750070974832719, 0.2029487469443688, 0.10201400688639274, 0.20337919398670926, -0.39779915920708603, -0.16670971637926768, 0.11317440892694654, 0.17488005037970342, 0.1243305752939749, -0.04143692503140944, -0.2812342871684672, 0.10378429079257952, -0.15829268808294905, -0.19637303874634843, -0.0681290140818441, 0.04250565508349299, 0.05531719497478817, -0.23762522969663247, 0.08146030166209108, 0.08386454696159401, 0.07283729778903696, -0.10076625244166679, -0.07976712508442267, -0.07347568088472343, 0.14162133628979506, 0.03213372769646301, -0.0023689638871540564, 0.16541380495423588, -0.10147919467218765, -0.07581973950969191, 0.41040714086592767, -0.04578889341792092, -0.17881346703507006, 0.24695022890014892, -0.20727881583351096, -0.10794504160038763, 0.09062245043517067, 0.18260330581617337, 0.1266383633809732, -0.09592490570822719, 0.10099468859361212, -0.040981465118664614, 0.14139015414672562, 0.07154617192530323, 0.010764264050344426, 0.26640736736856235, 0.13154759861900833, 0.060554805746949394, 0.10007223661736267, -0.11654113217916413, -0.1136860452115354, -0.28653601564966685, -0.1467703792647027, -0.15177867901170763, 0.008739242431879464, -0.08886110738577128, -0.20615310795965786, 0.42074301260773367, 0.1175343576703709, 0.27432475750698004, 0.05032378034637787, 0.26300546168008954, 0.06047149679890448, 0.04857407669144932, 0.08457612517579435, 0.2805963981308883, 0.1026019947432981, 0.05164998931037944, -0.230881609538323, -0.008317816409633052, 0.021390701110315758] |
707.4401 | Entanglement measures: state ordering vs local operations | A set of all states of a bi-partite quantum system can be divided into
subsets each of which contains states with the same degree of entanglement. In
this paper we address a question whether local operations (without classical
communication) affect the entanglement-induced state ordering. We show that
arbitrary unilocal channel (i.e., a channel that acts on one sub-system of a
bi-partite system only) might change the ordering for an arbitrary nontrivial
measure of entanglement. A slightly weaker result holds for the maximally
entangled states. In particular, the maximally entangled states might not
remain the most entangled ones at the output of a unilocal noise channel.
| quant-ph | a set of all states of a bipartite quantum system can be divided into subsets each of which contains states with the same degree of entanglement in this paper we address a question whether local operations without classical communication affect the entanglementinduced state ordering we show that arbitrary unilocal channel ie a channel that acts on one subsystem of a bipartite system only might change the ordering for an arbitrary nontrivial measure of entanglement a slightly weaker result holds for the maximally entangled states in particular the maximally entangled states might not remain the most entangled ones at the output of a unilocal noise channel | [['a', 'set', 'of', 'all', 'states', 'of', 'a', 'bipartite', 'quantum', 'system', 'can', 'be', 'divided', 'into', 'subsets', 'each', 'of', 'which', 'contains', 'states', 'with', 'the', 'same', 'degree', 'of', 'entanglement', 'in', 'this', 'paper', 'we', 'address', 'a', 'question', 'whether', 'local', 'operations', 'without', 'classical', 'communication', 'affect', 'the', 'entanglementinduced', 'state', 'ordering', 'we', 'show', 'that', 'arbitrary', 'unilocal', 'channel', 'ie', 'a', 'channel', 'that', 'acts', 'on', 'one', 'subsystem', 'of', 'a', 'bipartite', 'system', 'only', 'might', 'change', 'the', 'ordering', 'for', 'an', 'arbitrary', 'nontrivial', 'measure', 'of', 'entanglement', 'a', 'slightly', 'weaker', 'result', 'holds', 'for', 'the', 'maximally', 'entangled', 'states', 'in', 'particular', 'the', 'maximally', 'entangled', 'states', 'might', 'not', 'remain', 'the', 'most', 'entangled', 'ones', 'at', 'the', 'output', 'of', 'a', 'unilocal', 'noise', 'channel']] | [-0.21456970703743752, 0.23094253716837904, -0.08238909915533094, 0.0429877123429573, 0.029250798205889408, -0.21482783623837998, 0.07432293372472659, 0.31719958261542375, -0.26956573727961985, -0.23891604457582746, 0.07946661519041906, -0.27551817519678956, -0.07865621019154787, 0.1415474252420522, -0.05846474978607148, 0.03510071287219901, 0.09899291718334315, 0.09573947715883453, -0.054877778552916076, -0.2639453049948705, 0.3585368238389492, -0.020232415528568838, 0.2724673551108156, 0.03793548270173016, 0.09000854299714169, 0.05160706622437352, 0.06502121876969578, 0.033685496635735036, -0.05916346083242734, 0.08446846633229316, 0.24908805158698843, 0.16392053406064708, 0.24398375816998027, -0.3897796245203132, -0.21043765533360698, 0.16408634100198036, 0.11607443905834641, 0.17966522510008265, 0.018928736440526943, -0.2906555738300085, 0.05509115745801301, -0.18065981099373726, -0.09350973991677165, -0.034165570756331795, -0.007433686094979445, -0.07598130074994905, -0.27866110847597675, 0.07141445821062439, 0.12235026450251185, 0.011250117722721328, -0.030678060985658142, -0.06317210436266447, -0.04863717175931448, 0.16190443273545022, -0.0919260596479511, 0.025103533925444243, 0.10271911952378494, -0.15858846302338256, -0.1495448264515116, 0.3325202659304653, -0.027072167675942182, -0.2362551155300545, 0.1778736973042777, -0.15339889446539537, -0.13878831060248473, 0.06836959655574035, 0.14351375202781388, 0.10636178694133247, -0.11362818318108718, 0.03524113647817146, -0.09439613480298292, 0.25172173904166334, 0.06929642344337134, 0.16504201294765586, 0.19524202941351437, 0.06520489842098738, 0.16446004132074968, 0.2248243789133128, -0.010391791647998616, -0.08985127779943425, -0.3102961828311284, -0.19213229840887444, -0.23433068733595844, 0.09767163667531263, -0.0539460733621603, -0.14879960187023417, 0.44001095304709104, 0.08537472542985121, 0.18142881951782674, 0.010171071964404768, 0.22663242707383774, 0.07729743204559089, 0.03571003593526603, 0.12420335401381766, 0.2128225381353072, 0.11064100036885412, 0.011451199344758476, -0.20787176150895123, 0.11125196312509832, 0.0034602782201199303] |
707.4402 | MSSM Effects in Top-antitop Production at the LHC | We report on a calculation of the effects of supersymmetry on the
cross-section for top-antitop production at LHC. A numerical study is carried
out for the ten benchmarks of the Snowmass accord. It is found that the higher
order effects involving supersymmetric particles in internal loops can be as
high as 6%, both for the cross-section and the (parity even) helicity
asymmetry, for one particular benchmark. For other benchmarks smaller but
nonetheless observable corrections are found.
| hep-ph | we report on a calculation of the effects of supersymmetry on the crosssection for topantitop production at lhc a numerical study is carried out for the ten benchmarks of the snowmass accord it is found that the higher order effects involving supersymmetric particles in internal loops can be as high as 6 both for the crosssection and the parity even helicity asymmetry for one particular benchmark for other benchmarks smaller but nonetheless observable corrections are found | [['we', 'report', 'on', 'a', 'calculation', 'of', 'the', 'effects', 'of', 'supersymmetry', 'on', 'the', 'crosssection', 'for', 'topantitop', 'production', 'at', 'lhc', 'a', 'numerical', 'study', 'is', 'carried', 'out', 'for', 'the', 'ten', 'benchmarks', 'of', 'the', 'snowmass', 'accord', 'it', 'is', 'found', 'that', 'the', 'higher', 'order', 'effects', 'involving', 'supersymmetric', 'particles', 'in', 'internal', 'loops', 'can', 'be', 'as', 'high', 'as', '6', 'both', 'for', 'the', 'crosssection', 'and', 'the', 'parity', 'even', 'helicity', 'asymmetry', 'for', 'one', 'particular', 'benchmark', 'for', 'other', 'benchmarks', 'smaller', 'but', 'nonetheless', 'observable', 'corrections', 'are', 'found']] | [-0.08442338200065454, 0.17138226515319394, -0.06597432271136265, 0.13926454744681618, -0.01011930800067555, -0.11272032293000896, -0.009159202442357415, 0.3299081550518933, -0.14278546181556426, -0.3464066989131664, 0.11137644273970325, -0.32835618883224305, -0.034984657985133755, 0.24299768751830256, 0.07748295614299805, 0.07214068561351221, 0.10546826056547855, 0.04553275313350911, -0.05281746059680652, -0.2613412167778925, 0.28001943831699655, 0.07114478925206258, 0.23229330810595697, 0.1489591794639924, 0.06493079344325356, -0.024717035563969005, -0.06321252990854095, 0.03185238544584105, -0.06045431541449369, 0.05652636160467457, 0.20592000416332953, 0.02264092627324556, 0.1499362627142354, -0.40129061229526997, -0.15404747971670554, 0.09640543340509267, 0.16366641094148354, 0.12617869934949436, -0.06938338139106666, -0.23937168168394188, 0.09722954316040207, -0.20087356470819367, -0.09546209762706176, -0.08568238524573021, 0.02925666546645133, -0.08204486630673177, -0.3011351297609508, 0.08395977835416009, -0.03741674739132194, 0.04536712399107943, 0.00368807150516659, -0.18338530024783195, -0.09855126315654304, 0.07531299842153921, 0.08695296611557224, 0.005069304352601696, 0.1675465582367523, -0.1799182783334369, -0.2032833807660561, 0.4329382974017215, -0.055253430068995316, -0.19963519608503894, 0.16122785355515876, -0.18794617331341693, -0.19528194973367805, 0.1281472168170455, 0.2094201756561616, 0.1503050520458553, -0.1221381640306821, 0.0825780494204465, -0.0354216689562523, 0.1525723100241617, 0.06990946992913163, 0.04282518796696279, 0.22341223897436926, 0.2030362573201082, 0.03479765337205639, 0.1172779015698899, -0.11461207626608054, -0.11230995268315862, -0.41053263408033863, -0.14281340931713776, -0.08457988170955918, 0.027698001021666353, -0.04985768309971287, -0.11560847193590905, 0.3561487629593007, 0.15146134568893008, 0.20117068686522543, 0.04368167172039026, 0.290750442366851, 0.10620348874516294, 0.09841886210549426, 0.01474602022943528, 0.3191322811732167, 0.08554669577432306, 0.11090176314571995, -0.23944690180207162, 0.04938849914010222, 0.023175524768272514] |
707.4403 | Empirical constraints on vacuum decay in the stringy landscape | It is generally considered as self evident that the lifetime of our vacuum in
the landscape of string theory cannot be much shorter than the current age of
the universe. Here I show why this lower limit is invalid. A certain type of
``parallel universes'' is a necessary consequence of the string-landscape
dynamics and might well allow us to ``survive'' vacuum decay. As a consequence
our stringy vacuum's lifetime is empirically unconstrained and could be very
short. Based on this counter-intuitive insight I propose a novel type of
laboratory experiment that searches for an apparent violation of the
quantum-mechanical Born rule by gravitational effects on vacuum decay. If the
lifetime of our vacuum should turn out to be shorter than 6 x 10^{-13} seconds
such an experiment is sufficiently sensitive to determine its value with
state-of-the-art equipment.
| hep-ph hep-th | it is generally considered as self evident that the lifetime of our vacuum in the landscape of string theory cannot be much shorter than the current age of the universe here i show why this lower limit is invalid a certain type of parallel universes is a necessary consequence of the stringlandscape dynamics and might well allow us to survive vacuum decay as a consequence our stringy vacuums lifetime is empirically unconstrained and could be very short based on this counterintuitive insight i propose a novel type of laboratory experiment that searches for an apparent violation of the quantummechanical born rule by gravitational effects on vacuum decay if the lifetime of our vacuum should turn out to be shorter than 6 x 1013 seconds such an experiment is sufficiently sensitive to determine its value with stateoftheart equipment | [['it', 'is', 'generally', 'considered', 'as', 'self', 'evident', 'that', 'the', 'lifetime', 'of', 'our', 'vacuum', 'in', 'the', 'landscape', 'of', 'string', 'theory', 'can', 'not', 'be', 'much', 'shorter', 'than', 'the', 'current', 'age', 'of', 'the', 'universe', 'here', 'i', 'show', 'why', 'this', 'lower', 'limit', 'is', 'invalid', 'a', 'certain', 'type', 'of', 'parallel', 'universes', 'is', 'a', 'necessary', 'consequence', 'of', 'the', 'stringlandscape', 'dynamics', 'and', 'might', 'well', 'allow', 'us', 'to', 'survive', 'vacuum', 'decay', 'as', 'a', 'consequence', 'our', 'stringy', 'vacuums', 'lifetime', 'is', 'empirically', 'unconstrained', 'and', 'could', 'be', 'very', 'short', 'based', 'on', 'this', 'counterintuitive', 'insight', 'i', 'propose', 'a', 'novel', 'type', 'of', 'laboratory', 'experiment', 'that', 'searches', 'for', 'an', 'apparent', 'violation', 'of', 'the', 'quantummechanical', 'born', 'rule', 'by', 'gravitational', 'effects', 'on', 'vacuum', 'decay', 'if', 'the', 'lifetime', 'of', 'our', 'vacuum', 'should', 'turn', 'out', 'to', 'be', 'shorter', 'than', '6', 'x', '1013', 'seconds', 'such', 'an', 'experiment', 'is', 'sufficiently', 'sensitive', 'to', 'determine', 'its', 'value', 'with', 'stateoftheart', 'equipment']] | [-0.09655571747639209, 0.19461227698021324, -0.12776707297014275, 0.13585010900954125, -0.09284411272863402, -0.13126352876186861, 0.04306142860054834, 0.33599584581785885, -0.22587589263562521, -0.29639262401492056, 0.1062835675832496, -0.20575088063547264, -0.08903144649229944, 0.20914815481153937, -0.049565880814308884, -0.044417323174556704, 0.06499596079981403, 0.056785918972760877, -0.034288290313642174, -0.250270130999903, 0.2773734029725765, 0.11371127138743653, 0.26465051069373036, 0.09653570448612644, 0.04726021760313289, -0.05030767659038088, 0.01925699103174962, 0.027300235594412053, -0.11194871829359122, 0.05912780308208843, 0.19905284664043002, 0.14379699720939906, 0.24211113231025472, -0.4610093918214314, -0.16811411613007893, 0.13834545859917455, 0.1658122020154974, 0.14731697212347258, -0.024815994836593958, -0.2788075463859922, 0.09240306176102456, -0.17205987610500714, -0.15178445246356137, -0.0635520072558718, 0.05649467462327087, -0.052101612386776366, -0.24221188954696277, 0.09796799365159152, 0.020599950500084157, -0.014397773675851686, -0.04817808459319147, -0.10092944989361576, 0.031280094949718916, 0.06874241686364921, 0.08576557753831963, 0.05875673932941073, 0.15156426267140974, -0.10401778397605801, -0.09533773743323166, 0.3941920692114717, -0.09436534831481375, -0.13960408174643552, 0.18671127466865592, -0.15570363380613117, -0.08923015951512069, 0.14332821438714427, 0.09273264124092177, 0.160068456668162, -0.14453434385359287, 0.041829538014105584, -0.025740445046821596, 0.19566460373899797, 0.054338283238619785, 0.09486254499749328, 0.25838997231347716, 0.19134048753873492, 0.06206258160000953, 0.08664096922895796, -0.06706232350170069, -0.07742137671618239, -0.364376240593456, -0.15381650177993045, -0.15353541595251197, 0.15023560626069032, -0.06277388106180987, -0.14034652656596833, 0.3353278709534746, 0.16687061515616347, 0.18169583564447442, 0.041615371007717006, 0.2703828951751773, 0.10926750747412171, 0.09851538876996097, 0.01886814122978788, 0.30961757054701994, 0.08073250287429967, 0.09484750960348513, -0.21349086356391778, 0.08337553140170274, 0.007538300898116436] |
707.4404 | Giant resonances of endohedral atoms | We demonstrate for the first time that the effect of fullerene shell upon
photoionization of the "caged" atom in an endohedral can result in formation of
Giant Endohedral Resonances or GER. This is illustrated by the concrete case of
Xe@C60 photoionization cross-section that exhibits at 17 eV a powerful
resonance with total oscillator strengths of about 25. The prominent
modification of the 5p6 electron photoionization cross-section of Xe@C60 takes
place due to strong fullerene shell polarization under the action of the
incoming electromagnetic wave and oscillation of this cross-section due to the
reflection of the photoelectron from Xe by the C60. These two factors transform
the smoothly decreasing 5p6 cross-section of Xe into a rather complex curve
with a powerful maximum for Xe@C60, with the oscillator strength being equal to
25! We present also the results for the dipole angular anisotropy parameter
that is strongly affected by the reflection of the photoelectron waves but not
modified by C60 polarization. The polarization of C60 is expressed via its
total photoabsorption cross-section. The reflection of the photoelectron is
taken into account in the frame of the so-called bubble potential that is a
spherical delta-type potential.
| physics.chem-ph physics.atm-clus | we demonstrate for the first time that the effect of fullerene shell upon photoionization of the caged atom in an endohedral can result in formation of giant endohedral resonances or ger this is illustrated by the concrete case of xec60 photoionization crosssection that exhibits at 17 ev a powerful resonance with total oscillator strengths of about 25 the prominent modification of the 5p6 electron photoionization crosssection of xec60 takes place due to strong fullerene shell polarization under the action of the incoming electromagnetic wave and oscillation of this crosssection due to the reflection of the photoelectron from xe by the c60 these two factors transform the smoothly decreasing 5p6 crosssection of xe into a rather complex curve with a powerful maximum for xec60 with the oscillator strength being equal to 25 we present also the results for the dipole angular anisotropy parameter that is strongly affected by the reflection of the photoelectron waves but not modified by c60 polarization the polarization of c60 is expressed via its total photoabsorption crosssection the reflection of the photoelectron is taken into account in the frame of the socalled bubble potential that is a spherical deltatype potential | [['we', 'demonstrate', 'for', 'the', 'first', 'time', 'that', 'the', 'effect', 'of', 'fullerene', 'shell', 'upon', 'photoionization', 'of', 'the', 'caged', 'atom', 'in', 'an', 'endohedral', 'can', 'result', 'in', 'formation', 'of', 'giant', 'endohedral', 'resonances', 'or', 'ger', 'this', 'is', 'illustrated', 'by', 'the', 'concrete', 'case', 'of', 'xec60', 'photoionization', 'crosssection', 'that', 'exhibits', 'at', '17', 'ev', 'a', 'powerful', 'resonance', 'with', 'total', 'oscillator', 'strengths', 'of', 'about', '25', 'the', 'prominent', 'modification', 'of', 'the', '5p6', 'electron', 'photoionization', 'crosssection', 'of', 'xec60', 'takes', 'place', 'due', 'to', 'strong', 'fullerene', 'shell', 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707.4405 | Bulk Viscosity driven clusterization of quark-gluon plasma and early
freeze-out in relativistic heavy-ion collisions | We introduce a new scenario for heavy ion collisions that could solve the
lingering problems associated with the so-called HBT puzzle. We postulate that
the system starts expansion as the perfect quark-gluon fluid but close to
freeze-out it splits into clusters, due to a sharp rise of bulk viscosity in
the vicinity of the hadronization transition. We then argue that the
characteristic cluster size is determined by the viscosity coefficient and the
expansion rate. Typically it is much smaller and independent of the total
system volume. These clusters maintain the pre-existing outward-going flow, as
a spray of droplets, but develop no flow of their own, and hadronize by
evaporation. We provide an ansatz for converting the hydrodynamic output into
clusters.
| nucl-th hep-ph | we introduce a new scenario for heavy ion collisions that could solve the lingering problems associated with the socalled hbt puzzle we postulate that the system starts expansion as the perfect quarkgluon fluid but close to freezeout it splits into clusters due to a sharp rise of bulk viscosity in the vicinity of the hadronization transition we then argue that the characteristic cluster size is determined by the viscosity coefficient and the expansion rate typically it is much smaller and independent of the total system volume these clusters maintain the preexisting outwardgoing flow as a spray of droplets but develop no flow of their own and hadronize by evaporation we provide an ansatz for converting the hydrodynamic output into clusters | [['we', 'introduce', 'a', 'new', 'scenario', 'for', 'heavy', 'ion', 'collisions', 'that', 'could', 'solve', 'the', 'lingering', 'problems', 'associated', 'with', 'the', 'socalled', 'hbt', 'puzzle', 'we', 'postulate', 'that', 'the', 'system', 'starts', 'expansion', 'as', 'the', 'perfect', 'quarkgluon', 'fluid', 'but', 'close', 'to', 'freezeout', 'it', 'splits', 'into', 'clusters', 'due', 'to', 'a', 'sharp', 'rise', 'of', 'bulk', 'viscosity', 'in', 'the', 'vicinity', 'of', 'the', 'hadronization', 'transition', 'we', 'then', 'argue', 'that', 'the', 'characteristic', 'cluster', 'size', 'is', 'determined', 'by', 'the', 'viscosity', 'coefficient', 'and', 'the', 'expansion', 'rate', 'typically', 'it', 'is', 'much', 'smaller', 'and', 'independent', 'of', 'the', 'total', 'system', 'volume', 'these', 'clusters', 'maintain', 'the', 'preexisting', 'outwardgoing', 'flow', 'as', 'a', 'spray', 'of', 'droplets', 'but', 'develop', 'no', 'flow', 'of', 'their', 'own', 'and', 'hadronize', 'by', 'evaporation', 'we', 'provide', 'an', 'ansatz', 'for', 'converting', 'the', 'hydrodynamic', 'output', 'into', 'clusters']] | [-0.09785702579044306, 0.19505255748901787, -0.15155816864723168, 0.058297464250344315, -0.05524313062656389, -0.09962223414253413, 0.0059134013903867294, 0.3053659858150768, -0.28917930226679106, -0.28190703390307037, 0.06727191517344762, -0.28563377942044693, -0.038127244628198886, 0.13310937841712428, -0.009693853611893514, 0.0010270420246671478, 0.07274831868532043, 0.04234302833411224, -0.04177825816037787, -0.21506844203285247, 0.33330601397627857, 0.08575148382928505, 0.24452717570948, 0.10045967096885462, 0.10581013301637869, -0.03712813687283827, -0.0003684856224523372, 0.08436525758539773, -0.1674555378912595, 0.05502371298038682, 0.1742968741499138, 0.10384441296878895, 0.23911551308638157, -0.4345949531039771, -0.2182863629374168, 0.07895532898221384, 0.18824040791129365, 0.13438030210041887, -0.06595503557629946, -0.20973532497608924, 0.08902165955010832, -0.19356335932780214, -0.14366249406921575, -0.04347986220421285, 0.03008159761074461, -0.011822568671386532, -0.2360836125425055, 0.13563433329930857, 0.05933630521244863, -0.023427768277802637, -0.06211211271349247, -0.10949458412732146, -0.02860986122845852, 0.09313732849731415, 0.05965766020142669, 0.030352640403004193, 0.17553172794272418, -0.1582423321043822, -0.023358279350018052, 0.4148640950687793, -0.02163343020996564, -0.1342371596116866, 0.20517750704629706, -0.13729730575196758, -0.0729314633997298, 0.17260735640850136, 0.18974520192587233, 0.10179764988339123, -0.15000802369303062, -0.00535983416328144, -0.03940629084915424, 0.1689783601016513, 0.0872716095470706, 0.006559801787850173, 0.24873131369592763, 0.14596705290512377, 0.04066813253101055, 0.17337837201475162, -0.057299628949913924, -0.1066536299107565, -0.30830850564882534, -0.16969056067471744, -0.15480471162923745, 0.04636210277520057, -0.11249647314130512, -0.17886506968291335, 0.31674945586118375, 0.12670535533962882, 0.25474881682106676, 0.005587891520963621, 0.28475767693740606, 0.11523022893312418, 0.0727549268587242, 0.11044655047638827, 0.24364986446365214, 0.15373187410809538, 0.13338920312831884, -0.28571104469607356, 0.085244325922896, 0.08197886130318609] |
707.4406 | Dirac-fermions and conductance-oscillations in (s,d)-wave
superconductor/normal graphene junctions | We investigate quantum transport in a normal/superconductor graphene
heterostructure, including the possibility of an anisotropic pairing potential
in the superconducting region. We find that under certain circumstances, the
conductance displays an undamped, oscillatory behaviour as a function of
applied bias voltage. Also, we investigate how the conductance spectra are
affected by a d-wave pairing symmetry. These results combine unusual features
of the electronic structure of graphene with the unconventional pairing
symmetry found for instance in high-T_c superconductors.
| cond-mat.supr-con | we investigate quantum transport in a normalsuperconductor graphene heterostructure including the possibility of an anisotropic pairing potential in the superconducting region we find that under certain circumstances the conductance displays an undamped oscillatory behaviour as a function of applied bias voltage also we investigate how the conductance spectra are affected by a dwave pairing symmetry these results combine unusual features of the electronic structure of graphene with the unconventional pairing symmetry found for instance in hight_c superconductors | [['we', 'investigate', 'quantum', 'transport', 'in', 'a', 'normalsuperconductor', 'graphene', 'heterostructure', 'including', 'the', 'possibility', 'of', 'an', 'anisotropic', 'pairing', 'potential', 'in', 'the', 'superconducting', 'region', 'we', 'find', 'that', 'under', 'certain', 'circumstances', 'the', 'conductance', 'displays', 'an', 'undamped', 'oscillatory', 'behaviour', 'as', 'a', 'function', 'of', 'applied', 'bias', 'voltage', 'also', 'we', 'investigate', 'how', 'the', 'conductance', 'spectra', 'are', 'affected', 'by', 'a', 'dwave', 'pairing', 'symmetry', 'these', 'results', 'combine', 'unusual', 'features', 'of', 'the', 'electronic', 'structure', 'of', 'graphene', 'with', 'the', 'unconventional', 'pairing', 'symmetry', 'found', 'for', 'instance', 'in', 'hight_c', 'superconductors']] | [-0.2638632252528151, 0.15938958651786853, -0.0986145097980058, 0.08427046957824912, -0.03900813259934256, -0.18501962853789136, 0.05796298709722211, 0.38501814086377234, -0.27599587025386946, -0.24008884301368305, -0.06851312830626916, -0.28923563579968237, -0.2147991788035331, 0.2083220635843161, 0.024425414085082784, 0.026637571355835957, -0.045250759339081, -0.03342791132072543, -0.1369391131220845, -0.21002755067220513, 0.3514317371096317, -0.02036815664773299, 0.3603589939945317, 0.09760573160057501, -0.019018836881868638, -0.01866678710930146, 0.15685817273938424, 0.03246124724966365, -0.17525240959489624, 0.02468090286696112, 0.27081468811428006, -0.14479226107382542, 0.18416903369044038, -0.45444190577156357, -0.2172319161004157, 0.008348074415093892, 0.1533299153489242, 0.1663780336256151, -0.09975936529287077, -0.27839640048997744, 0.05824033740617625, -0.17981924219419818, -0.15038133635149373, -0.12215112915335151, -0.03720603445423888, 0.008955337651460976, -0.20803012310409338, 0.12033072125745707, 0.056372212046491246, 0.0935855069645233, -0.08854086591874237, -0.09956547733420482, -0.04474137199123378, 0.023448191807293878, 0.05301551500565142, -0.03212334020909938, 0.1674792299307157, -0.1897207123420939, -0.11379151599626842, 0.3390143844601396, -0.03760423698740733, -0.08583122731319495, 0.10777448237474475, -0.12529857890898144, -0.08985134526821119, 0.09335295987835565, 0.08484041347930377, 0.03153365667207868, -0.14433551593094024, 0.08978360587150438, -0.0458694366593059, 0.14815881875549236, 0.030742490936264202, 0.12288200293437808, 0.25569895859323927, 0.18489289268028813, 0.06554980193833251, 0.18182418862805255, -0.13993953525802338, -0.031412593905463235, -0.2790871462119477, -0.14190087766180953, -0.17262106889544368, 0.08197650571910108, -0.03273117784168813, -0.227648060067327, 0.4760573036218812, 0.18421338439326396, 0.22474821989557572, -0.10524705686763704, 0.18446066784491014, 0.139373507433837, 0.07697066405860635, 0.026597782922606287, 0.21524679450342407, 0.15088542109633518, 0.11100657729359416, -0.37549023930128517, 0.08445053358937239, -0.027563244515618722] |
707.4407 | Relativistic nature of a magnetoelectric modulus of Cr_2O_3-crystals: a
new 4-dimensional pseudoscalar and its measurement | Earlier, the magnetoelectric effect of chromium sesquioxide Cr_2O_3 has been
determined experimentally as a function of temperature. One measures the
electric field-induced magnetization on Cr_2O_3 crystals or the magnetic
field-induced polarization. From the magnetoelectric moduli of Cr_2O_3 we
extract a 4-dimensional relativistic invariant pseudoscalar
$\widetilde{\alpha}$. It is temperature dependent and of the order of
10^{-4}/Z_0, with Z_0 as vacuum impedance. We show that the new pseudoscalar is
odd under parity transformation and odd under time inversion. Moreover,
$\widetilde{\alpha}$ is for Cr_2O_3 what Tellegen's gyrator is for two port
theory, the axion field for axion electrodynamics, and the PEMC (perfect
electromagnetic conductor) for electrical engineering.
| cond-mat.other cond-mat.mes-hall hep-ph | earlier the magnetoelectric effect of chromium sesquioxide cr_2o_3 has been determined experimentally as a function of temperature one measures the electric fieldinduced magnetization on cr_2o_3 crystals or the magnetic fieldinduced polarization from the magnetoelectric moduli of cr_2o_3 we extract a 4dimensional relativistic invariant pseudoscalar widetildealpha it is temperature dependent and of the order of 104z_0 with z_0 as vacuum impedance we show that the new pseudoscalar is odd under parity transformation and odd under time inversion moreover widetildealpha is for cr_2o_3 what tellegens gyrator is for two port theory the axion field for axion electrodynamics and the pemc perfect electromagnetic conductor for electrical engineering | [['earlier', 'the', 'magnetoelectric', 'effect', 'of', 'chromium', 'sesquioxide', 'cr_2o_3', 'has', 'been', 'determined', 'experimentally', 'as', 'a', 'function', 'of', 'temperature', 'one', 'measures', 'the', 'electric', 'fieldinduced', 'magnetization', 'on', 'cr_2o_3', 'crystals', 'or', 'the', 'magnetic', 'fieldinduced', 'polarization', 'from', 'the', 'magnetoelectric', 'moduli', 'of', 'cr_2o_3', 'we', 'extract', 'a', '4dimensional', 'relativistic', 'invariant', 'pseudoscalar', 'widetildealpha', 'it', 'is', 'temperature', 'dependent', 'and', 'of', 'the', 'order', 'of', '104z_0', 'with', 'z_0', 'as', 'vacuum', 'impedance', 'we', 'show', 'that', 'the', 'new', 'pseudoscalar', 'is', 'odd', 'under', 'parity', 'transformation', 'and', 'odd', 'under', 'time', 'inversion', 'moreover', 'widetildealpha', 'is', 'for', 'cr_2o_3', 'what', 'tellegens', 'gyrator', 'is', 'for', 'two', 'port', 'theory', 'the', 'axion', 'field', 'for', 'axion', 'electrodynamics', 'and', 'the', 'pemc', 'perfect', 'electromagnetic', 'conductor', 'for', 'electrical', 'engineering']] | [-0.19774455337975066, 0.2458330101776615, -0.05802157457275949, 0.023944763654336624, -0.11540435986973129, -0.15141183067366337, 0.008794916812918212, 0.3962823010402397, -0.22135637326220287, -0.2613367555907123, 0.011203697443068325, -0.27363227832230547, -0.13830754367037884, 0.19529654702072222, 0.05876719047432964, 0.06496956483551382, -0.12395219199892893, 0.04898959833188254, -0.07585005372428127, -0.17780224185943314, 0.29555771290550675, -0.009508263491528127, 0.296850404702127, 0.1020570924467163, 0.10876983478303673, 0.0018463663788494265, 0.12859180126592373, 0.017762143250771807, -0.11133895698038791, -0.007218087661685874, 0.21348613578808104, -0.039963759685351145, 0.13319060915303463, -0.4007487400859884, -0.18354131100084453, 0.07710316852277634, 0.039195016374612604, 0.13925327516151864, -0.08220141844087037, -0.25969884975008595, 0.0743603664439045, -0.11827681640850253, -0.11458017708715594, -0.12156092871920866, 0.033870874520942784, -0.05052345598713287, -0.28954368735690716, 0.05639755414191772, 0.04217537071158006, 0.11897753864454413, -0.10437919675978352, -0.16549640307112515, -0.030554711778006217, 0.01240792763091678, 0.09615974027880476, 0.087309855447847, 0.171159545330385, -0.1092523821579853, -0.12249615888825609, 0.37856561006996237, -0.10374275951768334, -0.12690349849188493, 0.04117147694115789, -0.17696100258205122, -0.0743466877611354, 0.13674535594080367, 0.09693551733547333, 0.10840617359086907, -0.10188833081380473, 0.14938372487340176, -0.05417355350263923, 0.16750693773326364, 0.1068335807999795, 0.05559228315895188, 0.24283874575591202, 0.1351186373515181, 0.02261524104504186, 0.18203491305263297, -0.06217369994428913, -0.008842999712356086, -0.29596079535131314, -0.19914765897414927, -0.207535745727477, 0.12879975711773103, -0.08998255844078777, -0.18645488396648643, 0.3852877068306202, 0.1324158221103468, 0.0860892320119604, -0.05282671985700184, 0.28761175764923536, 0.11235812850504463, 0.06640440064654188, 0.0038270053275164615, 0.2771393199930492, 0.2400528056461147, 0.14840572414460854, -0.3116160373641992, 0.03658539698983642, 0.049493472729312274] |
707.4408 | Backlund Transformations and Darboux Integrability for Nonlinear Wave
Equations | We prove that second-order hyperbolic Monge-Ampere equations for one function
of two variables are connected to the wave equation by a Backlund
transformation if and only if they are integrable by the method of Darboux at
second order. One direction of proof, proving Darboux integrability, follows
the implications of the wave equation for the invariants of the G-structure
associated to the Backlund transformation. The other direction constructs
Backlund transformations for Darboux integrable equations as solutions of an
involutive exterior differential system. Explicit transformations are given for
several equations on the Goursat-Vessiot list of Darboux-integrable equations.
| math.DG math.AP | we prove that secondorder hyperbolic mongeampere equations for one function of two variables are connected to the wave equation by a backlund transformation if and only if they are integrable by the method of darboux at second order one direction of proof proving darboux integrability follows the implications of the wave equation for the invariants of the gstructure associated to the backlund transformation the other direction constructs backlund transformations for darboux integrable equations as solutions of an involutive exterior differential system explicit transformations are given for several equations on the goursatvessiot list of darbouxintegrable equations | [['we', 'prove', 'that', 'secondorder', 'hyperbolic', 'mongeampere', 'equations', 'for', 'one', 'function', 'of', 'two', 'variables', 'are', 'connected', 'to', 'the', 'wave', 'equation', 'by', 'a', 'backlund', 'transformation', 'if', 'and', 'only', 'if', 'they', 'are', 'integrable', 'by', 'the', 'method', 'of', 'darboux', 'at', 'second', 'order', 'one', 'direction', 'of', 'proof', 'proving', 'darboux', 'integrability', 'follows', 'the', 'implications', 'of', 'the', 'wave', 'equation', 'for', 'the', 'invariants', 'of', 'the', 'gstructure', 'associated', 'to', 'the', 'backlund', 'transformation', 'the', 'other', 'direction', 'constructs', 'backlund', 'transformations', 'for', 'darboux', 'integrable', 'equations', 'as', 'solutions', 'of', 'an', 'involutive', 'exterior', 'differential', 'system', 'explicit', 'transformations', 'are', 'given', 'for', 'several', 'equations', 'on', 'the', 'goursatvessiot', 'list', 'of', 'darbouxintegrable', 'equations']] | [-0.20554434325826423, 0.04951922355801173, -0.06326226376858289, 0.08306453886732298, -0.18118478193558674, -0.17848552270261672, -0.0721606230964103, 0.3003990337633157, -0.36649735400112726, -0.19599115502049205, 0.1228765291061693, -0.3432140314140387, -0.19021120635912783, 0.20553224715053714, -0.017774933989169777, 0.09975080585647975, 0.04472997451140996, 0.06582756829948755, -0.195986197924652, -0.2716687755078398, 0.4125734498343801, -0.10852223214122557, 0.18576926674934163, -0.03457917573471223, 0.2411588462450171, -0.005366204011063742, -0.005113126579872383, -0.09667287587678881, -0.11438948053515188, 0.03134734706292229, 0.26639362595855226, 0.08807195641190535, 0.18532435823061694, -0.3939843543014058, -0.13875918536727386, 0.06807316964121676, 0.1655780790744209, 0.12438530063316706, -0.05209562646460429, -0.33353707901332325, 0.036101080667507904, -0.06703947195582972, -0.27052591204322796, -0.09333824871047851, 0.047263211064961966, 0.12552827222132554, -0.19557463447813705, 0.05854152944663437, 0.13794239989471851, 0.029368831515712762, -0.1360926105745978, -0.048870314311947154, -0.12725757446480535, 0.007291471160026968, 0.028475225968186253, 0.021012308822083537, 0.03324262697189566, -0.07554585737506708, -0.08632070065465985, 0.39301354345434936, -0.038147518502658496, -0.3425892958197222, 0.08618631491297356, -0.06846694613216064, -0.19260988850647243, 0.1340831608301209, 0.13030088859640301, 0.15109178596126135, -0.2128107982277069, 0.09634257522319326, -0.037222113910629365, 0.10282987270063611, 0.1567827701137992, -0.03178074672037075, 0.12773452580015185, 0.045392934573433734, 0.09482175975497212, 0.11031673808634702, 0.08263921851019365, -0.1397364577328566, -0.4054141650677368, -0.22687029741924777, -0.11369273750992712, 0.08720129263250567, -0.12479738246693942, -0.1524981454775859, 0.3984075716987092, 0.09123957745971219, 0.08452750498088457, 0.10036095187708896, 0.19274119149533012, 0.22532058302100288, 0.04948603530584644, 0.04209046037266812, 0.18466631475315298, 0.23179359249119716, 0.08183366817832795, -0.20455846012481088, -0.02519317292758534, 0.296200702883183] |
707.4409 | Time-resolved refractive index and absorption mapping of light-plasma
filaments in water | By means of a quantitative shadowgraphic method, we performed a space-time
characterization of the refractive index variation and transient absorption
induced by a light-plasma filament generated by a 100 fs laser pulse in water.
The formation and evolution of the plasma channel in the proximity of the
nonlinear focus were observed with a 23 fs time resolution.
| physics.optics physics.plasm-ph | by means of a quantitative shadowgraphic method we performed a spacetime characterization of the refractive index variation and transient absorption induced by a lightplasma filament generated by a 100 fs laser pulse in water the formation and evolution of the plasma channel in the proximity of the nonlinear focus were observed with a 23 fs time resolution | [['by', 'means', 'of', 'a', 'quantitative', 'shadowgraphic', 'method', 'we', 'performed', 'a', 'spacetime', 'characterization', 'of', 'the', 'refractive', 'index', 'variation', 'and', 'transient', 'absorption', 'induced', 'by', 'a', 'lightplasma', 'filament', 'generated', 'by', 'a', '100', 'fs', 'laser', 'pulse', 'in', 'water', 'the', 'formation', 'and', 'evolution', 'of', 'the', 'plasma', 'channel', 'in', 'the', 'proximity', 'of', 'the', 'nonlinear', 'focus', 'were', 'observed', 'with', 'a', '23', 'fs', 'time', 'resolution']] | [-0.13828231675610628, 0.15048449104818115, -0.0733863473537245, 0.029689372920464457, 0.009973824148931141, -0.06932397141853082, 0.039161947439424694, 0.4511516956346376, -0.2357114645627527, -0.3437192002519233, 0.08530118111437852, -0.22760258908134087, -0.09970636318238187, 0.20211152559412376, 0.02371056253988562, 0.06081452338756727, 0.040669517732957114, -0.02170919202866831, -0.027916881330643913, -0.15471849530669196, 0.28514344299661126, 0.08540913441018867, 0.23946425125801138, 0.028964111198937253, 0.09467786746764821, 0.005859076286599573, -0.07097353966673836, 0.03615068591066769, -0.16320113058645802, 0.10133102436416916, 0.17910572142240458, 0.022782389918575063, 0.26616287044349257, -0.40854045695492197, -0.28666482543173644, -0.026231408352032304, 0.0638042936864492, 0.051482361807887046, -0.09824566750986767, -0.2941467491244631, 0.06115441590580823, -0.1267004767432809, -0.13637250109708735, 0.06648964313457587, 0.01630796126223036, 0.048392352157471966, -0.25270100924119887, 0.09745032593075718, 0.049729049947927706, 0.08621733259808805, -0.053155635275678445, 0.015086270902039749, -0.040015227909732075, 0.0546986933581398, 0.0014522121533186042, 0.03340006482488077, 0.17078100608029803, -0.12522912702323602, -0.09929807243835446, 0.3669978448056749, -0.15534480818840685, -0.08037678538156408, 0.12330574947346966, -0.22339110471408016, -0.012532163469586521, 0.26111837363402757, 0.12968257256267993, 0.14373452981401766, -0.12478734080546669, 0.004354982485113267, 0.009073009722799594, 0.23186334832072525, 0.16682903777940997, 0.031754030513444116, 0.1852977053869316, 0.24011194597031654, 0.009446954803674348, 0.14168165464486396, -0.17076072981581092, 0.020094977009908428, -0.24651340747784292, -0.12526537183605665, -0.1568495093711785, 0.06602603871475107, -0.06688622716475427, -0.1205439470442278, 0.46443490038758944, 0.05253950649785111, 0.18376188718580774, -0.03550404555738039, 0.25341199398306863, 0.11564110841469041, 0.017055958896110366, 0.03465966459563268, 0.2360431769463633, 0.16737565206962504, 0.13371475067521846, -0.2844969620761861, 0.043450256826223006, 0.03269949270179495] |
707.441 | On the role of twisted statistics in the noncommutative degenerate
electron gas | We consider the problem of a degenerate electron gas in the background of a
uniformly distributed positive charge, ensuring overall neutrality of the
system, in the presence of non-commutativity. In contrast to previous
calculations that did not include twisted statistics, we find corrections to
the ground state energy already at first order in perturbation theory when the
twisted statistics is taken into account. These corrections arise since the
interaction energy is sensitive to two particle correlations, which are
modified for twisted anti-commutation relations.
| hep-th | we consider the problem of a degenerate electron gas in the background of a uniformly distributed positive charge ensuring overall neutrality of the system in the presence of noncommutativity in contrast to previous calculations that did not include twisted statistics we find corrections to the ground state energy already at first order in perturbation theory when the twisted statistics is taken into account these corrections arise since the interaction energy is sensitive to two particle correlations which are modified for twisted anticommutation relations | [['we', 'consider', 'the', 'problem', 'of', 'a', 'degenerate', 'electron', 'gas', 'in', 'the', 'background', 'of', 'a', 'uniformly', 'distributed', 'positive', 'charge', 'ensuring', 'overall', 'neutrality', 'of', 'the', 'system', 'in', 'the', 'presence', 'of', 'noncommutativity', 'in', 'contrast', 'to', 'previous', 'calculations', 'that', 'did', 'not', 'include', 'twisted', 'statistics', 'we', 'find', 'corrections', 'to', 'the', 'ground', 'state', 'energy', 'already', 'at', 'first', 'order', 'in', 'perturbation', 'theory', 'when', 'the', 'twisted', 'statistics', 'is', 'taken', 'into', 'account', 'these', 'corrections', 'arise', 'since', 'the', 'interaction', 'energy', 'is', 'sensitive', 'to', 'two', 'particle', 'correlations', 'which', 'are', 'modified', 'for', 'twisted', 'anticommutation', 'relations']] | [-0.15597049070659644, 0.17426323623632092, -0.08260647408911083, 0.13075895612240288, -0.005845998503626829, -0.10154390682926379, 0.00824669242628951, 0.3248759265091405, -0.25717496585819016, -0.31985720260495165, 0.03568070203469819, -0.3198134209736284, -0.05324420979224056, 0.12200374096345874, -0.020152424787541468, 0.031135913556868053, 0.035245304253984644, 0.04999052097246679, -0.09543670686691191, -0.2349855178232159, 0.37383998265203805, 0.0484610485917249, 0.2749043773545558, 0.08052777023200529, 0.04706626497657902, 0.024280662595081222, -0.01766810130821653, 0.04182441043246717, -0.0915199855503981, 0.05198807587863945, 0.20616765407893067, -0.00786321917284036, 0.22950721501249327, -0.4558817117239337, -0.19755217453173127, 0.09155807856762085, 0.13141068440850778, 0.13268641141630394, -0.02667192522862769, -0.24558089520916881, 0.044460416426433315, -0.18893271598246802, -0.1324137414255774, -0.06836121610691209, -0.022144577129328824, 0.007079996033964387, -0.287376783681607, 0.11735878639618855, 0.055451817600146294, -0.025019517037347772, -0.10399308971813824, -0.09171625761264733, -0.05804420736147945, 0.14039227690061004, 0.04695342254897871, 0.0007755012792838087, 0.12871253347663905, -0.14462301019489407, -0.058278634168028115, 0.396015610164368, -0.04535959966632212, -0.213004941109523, 0.1195240315605314, -0.20151981838182154, -0.18378057496352906, 0.1481533041897129, 0.14554437983736215, 0.0750537878996412, -0.11989375403384447, 0.09990605545869793, -0.023746962333659093, 0.15149955317961522, 0.03267996360446854, 0.058958984748740874, 0.24871188270893083, 0.05529432233243463, 0.049037363974893666, 0.11259288558489587, -0.0671746636942837, -0.14845292436811758, -0.3370141059788595, -0.12533447530165495, -0.15523372893502196, 0.05961885980729446, -0.015479229497218347, -0.17006390471101165, 0.3685169205608138, 0.17566175492906785, 0.16969344198860856, -0.015613649947939059, 0.27194409990256807, 0.15648317666926298, 0.0747602890997407, 0.04150359204083861, 0.2912102365496019, 0.1425079017911241, 0.10515081120587616, -0.23350434556199484, -0.016401385467679025, 0.06832022805619671] |
707.4411 | Intrinsic tunneling in phase separated manganites | We present evidence of direct electron tunneling across intrinsic insulating
regions in sub-micrometer wide bridges of the phase separated ferromagnet
(La,Pr,Ca)MnO$_3$. Upon cooling below the Curie temperature, a predominantly
ferromagnetic supercooled state persists where tunneling across the intrinsic
tunnel barriers (ITBs) results in metastable, temperature-independent,
high-resistance plateaus over a large range of temperatures. Upon application
of a magnetic field, our data reveal that the ITBs are extinguished resulting
in sharp, colossal, low-field resistance drops. Our results compare well to
theoretical predictions of magnetic domain walls coinciding with the intrinsic
insulating phase.
| cond-mat.str-el cond-mat.mtrl-sci | we present evidence of direct electron tunneling across intrinsic insulating regions in submicrometer wide bridges of the phase separated ferromagnet laprcamno_3 upon cooling below the curie temperature a predominantly ferromagnetic supercooled state persists where tunneling across the intrinsic tunnel barriers itbs results in metastable temperatureindependent highresistance plateaus over a large range of temperatures upon application of a magnetic field our data reveal that the itbs are extinguished resulting in sharp colossal lowfield resistance drops our results compare well to theoretical predictions of magnetic domain walls coinciding with the intrinsic insulating phase | [['we', 'present', 'evidence', 'of', 'direct', 'electron', 'tunneling', 'across', 'intrinsic', 'insulating', 'regions', 'in', 'submicrometer', 'wide', 'bridges', 'of', 'the', 'phase', 'separated', 'ferromagnet', 'laprcamno_3', 'upon', 'cooling', 'below', 'the', 'curie', 'temperature', 'a', 'predominantly', 'ferromagnetic', 'supercooled', 'state', 'persists', 'where', 'tunneling', 'across', 'the', 'intrinsic', 'tunnel', 'barriers', 'itbs', 'results', 'in', 'metastable', 'temperatureindependent', 'highresistance', 'plateaus', 'over', 'a', 'large', 'range', 'of', 'temperatures', 'upon', 'application', 'of', 'a', 'magnetic', 'field', 'our', 'data', 'reveal', 'that', 'the', 'itbs', 'are', 'extinguished', 'resulting', 'in', 'sharp', 'colossal', 'lowfield', 'resistance', 'drops', 'our', 'results', 'compare', 'well', 'to', 'theoretical', 'predictions', 'of', 'magnetic', 'domain', 'walls', 'coinciding', 'with', 'the', 'intrinsic', 'insulating', 'phase']] | [-0.16785032654232862, 0.2446479486922423, -0.02199572500410593, 0.024965144409280684, -0.028015611827787425, -0.1457427467788673, 0.13606093454226437, 0.408505134527675, -0.2474208174764903, -0.33030842882063655, -0.0008115536158180072, -0.3119241867110961, -0.050559476219738525, 0.22014400982815358, 0.03164378711436358, -0.03434275245138754, -0.03889744744325677, -0.08722051157059872, -0.10455761800985783, -0.1603416805326156, 0.25079229074633785, -0.046056614040086666, 0.35494276565603083, 0.1378157615661621, 0.05048906493336997, -0.05954653394235518, 0.1524302674457431, 0.056585347724871504, -0.21088012370269604, -0.03958394483456181, 0.30033724969252945, -0.16953529591361682, 0.17589337636341548, -0.4670429292859303, -0.20509656777139754, -0.012577521562990215, 0.17152651160851948, 0.14210160005216796, -0.06613689223433741, -0.30552804668744404, 0.013885799878173405, -0.08464019280961818, -0.1123378820096453, -0.0864661068862511, -0.042688799668879555, -0.008777102828025818, -0.2039562325200273, 0.19325971622537408, 0.06125208279117942, 0.10044093356053863, -0.14376992443576456, -0.12791660328964807, -0.05532097950732957, 0.051545198805009323, 0.08499513117906948, 0.07358200950548052, 0.2336529433158123, -0.11685586026352313, -0.10902028960279292, 0.21530660593675244, -0.0810415004612878, 0.03311435666142239, 0.21286803653670683, -0.24648947511903113, -0.009293071848029891, 0.26503335622449714, 0.0868630505580869, 0.08066325510800298, -0.09752622382301424, 0.06221516669934823, 0.007634085403858787, 0.16708568567927512, 0.03482782078596453, 0.05079888915384395, 0.29059284060624324, 0.23955710579175502, 0.02443006487770213, 0.17326317383493814, -0.15047740970654155, -0.11295342229099738, -0.23973114497752654, -0.15043542717790437, -0.223026528618195, 0.073859477094892, -0.13249454653867157, -0.2346784902219143, 0.36763880954434475, 0.173950682924543, 0.22588657194541562, -0.028159762707461292, 0.28915313145973615, 0.03940110491433491, 0.06715767310621838, 0.02805150080886152, 0.2516773017226822, 0.18703836171059973, 0.18646614899626002, -0.27097302270639273, 0.10976896660091977, -0.09280991918510861] |
707.4412 | Measurement of the $\vec{\gamma} p \to K^+ \Lambda$ Reaction at Backward
Angles | Cross sections for the $\gamma p \to K^+ \Lambda$ have been measured at
backward angles using linearly polarized photons in the range 1.50 to 2.37 GeV.
In addition, the beam asymmetry for this reaction has been measured for the
first time at backward angles. The $\Lambda$ was detected at forward angles in
the LEPS spectrometer via its decay to $p\pi^-$ and the K^+ was inferred using
the technique of missing mass. These measurements, corresponding to kaons at
far backward angles in the center-of-mass frame, complement similar CLAS data
at other angles. Comparison with theoretical models shows that the reactions in
these kinematics provide further opportunities to investigate the reaction
mechanisms of hadron dynamics.
| nucl-ex | cross sections for the gamma p to k lambda have been measured at backward angles using linearly polarized photons in the range 150 to 237 gev in addition the beam asymmetry for this reaction has been measured for the first time at backward angles the lambda was detected at forward angles in the leps spectrometer via its decay to ppi and the k was inferred using the technique of missing mass these measurements corresponding to kaons at far backward angles in the centerofmass frame complement similar clas data at other angles comparison with theoretical models shows that the reactions in these kinematics provide further opportunities to investigate the reaction mechanisms of hadron dynamics | [['cross', 'sections', 'for', 'the', 'gamma', 'p', 'to', 'k', 'lambda', 'have', 'been', 'measured', 'at', 'backward', 'angles', 'using', 'linearly', 'polarized', 'photons', 'in', 'the', 'range', '150', 'to', '237', 'gev', 'in', 'addition', 'the', 'beam', 'asymmetry', 'for', 'this', 'reaction', 'has', 'been', 'measured', 'for', 'the', 'first', 'time', 'at', 'backward', 'angles', 'the', 'lambda', 'was', 'detected', 'at', 'forward', 'angles', 'in', 'the', 'leps', 'spectrometer', 'via', 'its', 'decay', 'to', 'ppi', 'and', 'the', 'k', 'was', 'inferred', 'using', 'the', 'technique', 'of', 'missing', 'mass', 'these', 'measurements', 'corresponding', 'to', 'kaons', 'at', 'far', 'backward', 'angles', 'in', 'the', 'centerofmass', 'frame', 'complement', 'similar', 'clas', 'data', 'at', 'other', 'angles', 'comparison', 'with', 'theoretical', 'models', 'shows', 'that', 'the', 'reactions', 'in', 'these', 'kinematics', 'provide', 'further', 'opportunities', 'to', 'investigate', 'the', 'reaction', 'mechanisms', 'of', 'hadron', 'dynamics']] | [-0.07464222176272454, 0.18840789491108792, -0.1089051065171154, 0.06622111181979917, -0.021817183927674077, -0.12085102842626187, 0.02351352053208161, 0.42342076251134936, -0.2792426884396875, -0.31714187419470563, -0.04590737210500128, -0.35418083531106204, 0.0671058636307057, 0.1999699944358286, 0.11168703525862862, 0.11161372088569636, 0.08127443361780153, 0.01660997708831848, -0.040626420369536606, -0.1379619916917476, 0.2752898474372264, 0.13247602546909015, 0.2297813069030016, 0.10070751646978665, 0.10659931312558299, 0.011632649844565916, -0.04658258854683522, -0.04978033091535017, -0.1575503994083466, 0.04024441481415446, 0.30530968263675895, 0.06519692069315146, 0.12779354956825223, -0.3567247239757428, -0.1449389077179068, 0.09788645616543491, 0.14014462496162253, 0.07499499828348645, -0.03853520583691059, -0.28565611972152133, 0.1274165639589928, -0.11675486108700259, -0.15645058817370275, -0.0059064025949455996, 0.05553339240429676, -0.011748509852429935, -0.2537317712877803, 0.035284471235019606, -0.05636434890000166, 0.09763463609645852, -0.011311803084171781, -0.22084935236953002, -0.03449401057086292, 0.06954203554289004, 0.09412094803147875, 0.06168955400332693, 0.12041821259906334, -0.0751494891442919, -0.13778383683297882, 0.34706575009329, -0.05443159862528596, -0.16320996292232148, 0.14609496527458582, -0.2646785801012827, -0.12311440549865035, 0.25209614514801815, 0.22411534687158016, 0.11591873499688453, -0.17622281819483085, 0.043468907845837054, -0.026196648459469455, 0.13672996860871142, 0.14530333426607922, -0.006373482123759072, 0.1504462465512014, 0.1465195703208941, -0.0074851729317807255, 0.058014308747864306, -0.20023823782504924, -0.037122297648802004, -0.3145881012675509, -0.09239188309725935, -0.05199706002418776, 0.025326967817335594, -0.023787268503250726, 0.035777577726516574, 0.3363644806400304, 0.0787079756122919, 0.2860474856439009, 0.048144845695820004, 0.313937984489366, 0.1010622013457103, 0.08997134546609184, 0.02503483063763881, 0.3513074427909028, 0.16230228722952636, 0.19459635222874647, -0.23553342482619052, 0.10897439175112321, -0.010904918482477686] |
707.4413 | Josephson effect in thin-film superconductor/insulator/superconductor
junctions with misaligned in-plane magnetic fields | We study a tunnel junction consisting of two thin-film s-wave superconductors
separated by a thin, insulating barrier in the presence of misaligned in-plane
exchange fields. We find an interesting interplay between the superconducting
phase difference and the relative orientation of the exchange fields,
manifested in the Josephson current across the junction. Specifically, this may
be written $I_\text{J}^\text{C} = (I_0+I_m ~ \cos\phi) \sin\Delta\theta$, where
I_0 and I_m are constants, and $\phi$ is the relative orientation of the
exchange fields while $\Delta\theta$ is the superconducting phase difference.
Similar results have recently been obtained in other S/I/S junctions coexisting
with helimagnetic or ferromagnetic order. We calculate the superconducting
order parameter self-consistently, and investigate quantitatively the effect
which the misaligned exchange fields constitute on the Josephson current, to
see if I_m may have an appreciable effect on the Josephson current. It is found
that I_0 and I_m become comparable in magnitude at sufficiently low
temperatures and fields close to the critical value, in agreement with previous
work. From our analytical results, it then follows that the Josephson current
in the present system may be controlled in a well-defined manner by a rotation
of the exchange fields on both sides of the junction. We discuss a possible
experimental realization of this proposition.
| cond-mat.supr-con | we study a tunnel junction consisting of two thinfilm swave superconductors separated by a thin insulating barrier in the presence of misaligned inplane exchange fields we find an interesting interplay between the superconducting phase difference and the relative orientation of the exchange fields manifested in the josephson current across the junction specifically this may be written i_textjtextc i_0i_m cosphi sindeltatheta where i_0 and i_m are constants and phi is the relative orientation of the exchange fields while deltatheta is the superconducting phase difference similar results have recently been obtained in other sis junctions coexisting with helimagnetic or ferromagnetic order we calculate the superconducting order parameter selfconsistently and investigate quantitatively the effect which the misaligned exchange fields constitute on the josephson current to see if i_m may have an appreciable effect on the josephson current it is found that i_0 and i_m become comparable in magnitude at sufficiently low temperatures and fields close to the critical value in agreement with previous work from our analytical results it then follows that the josephson current in the present system may be controlled in a welldefined manner by a rotation of the exchange fields on both sides of the junction we discuss a possible experimental realization of this proposition | [['we', 'study', 'a', 'tunnel', 'junction', 'consisting', 'of', 'two', 'thinfilm', 'swave', 'superconductors', 'separated', 'by', 'a', 'thin', 'insulating', 'barrier', 'in', 'the', 'presence', 'of', 'misaligned', 'inplane', 'exchange', 'fields', 'we', 'find', 'an', 'interesting', 'interplay', 'between', 'the', 'superconducting', 'phase', 'difference', 'and', 'the', 'relative', 'orientation', 'of', 'the', 'exchange', 'fields', 'manifested', 'in', 'the', 'josephson', 'current', 'across', 'the', 'junction', 'specifically', 'this', 'may', 'be', 'written', 'i_textjtextc', 'i_0i_m', 'cosphi', 'sindeltatheta', 'where', 'i_0', 'and', 'i_m', 'are', 'constants', 'and', 'phi', 'is', 'the', 'relative', 'orientation', 'of', 'the', 'exchange', 'fields', 'while', 'deltatheta', 'is', 'the', 'superconducting', 'phase', 'difference', 'similar', 'results', 'have', 'recently', 'been', 'obtained', 'in', 'other', 'sis', 'junctions', 'coexisting', 'with', 'helimagnetic', 'or', 'ferromagnetic', 'order', 'we', 'calculate', 'the', 'superconducting', 'order', 'parameter', 'selfconsistently', 'and', 'investigate', 'quantitatively', 'the', 'effect', 'which', 'the', 'misaligned', 'exchange', 'fields', 'constitute', 'on', 'the', 'josephson', 'current', 'to', 'see', 'if', 'i_m', 'may', 'have', 'an', 'appreciable', 'effect', 'on', 'the', 'josephson', 'current', 'it', 'is', 'found', 'that', 'i_0', 'and', 'i_m', 'become', 'comparable', 'in', 'magnitude', 'at', 'sufficiently', 'low', 'temperatures', 'and', 'fields', 'close', 'to', 'the', 'critical', 'value', 'in', 'agreement', 'with', 'previous', 'work', 'from', 'our', 'analytical', 'results', 'it', 'then', 'follows', 'that', 'the', 'josephson', 'current', 'in', 'the', 'present', 'system', 'may', 'be', 'controlled', 'in', 'a', 'welldefined', 'manner', 'by', 'a', 'rotation', 'of', 'the', 'exchange', 'fields', 'on', 'both', 'sides', 'of', 'the', 'junction', 'we', 'discuss', 'a', 'possible', 'experimental', 'realization', 'of', 'this', 'proposition']] | [-0.23953012938814072, 0.1654553546970491, -0.029948881714337384, 0.023659783127915925, -0.03992204410876931, -0.1329695062946971, 0.040079563041217625, 0.38495685318761536, -0.23584071592667535, -0.300343821595174, 0.021074374997642555, -0.29700330931619545, -0.07949225366286158, 0.20965055122598084, 0.024399291101548048, -0.04816108385428307, -0.026717370784020807, 0.006615941564605507, -0.07213644146265712, -0.200357422297175, 0.3243619664894915, -0.036336897413642835, 0.31968194643717884, 0.07064116730280959, 0.04815781413978611, -0.05058336323057993, 0.08223185522437423, 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707.4414 | On Shokurov-type b-divisorial algebras of higher rank | The purpose of this paper is to lay the foundations for the theory of higher
rank b-divisorial algebras of Shokurov type. We develop techniques to deal with
such objects and propose two natural conjectures regarding Shokurov algebras
and adjoint algebras. We confirm these conjectures in the case of affine
curves.
| math.AG | the purpose of this paper is to lay the foundations for the theory of higher rank bdivisorial algebras of shokurov type we develop techniques to deal with such objects and propose two natural conjectures regarding shokurov algebras and adjoint algebras we confirm these conjectures in the case of affine curves | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'lay', 'the', 'foundations', 'for', 'the', 'theory', 'of', 'higher', 'rank', 'bdivisorial', 'algebras', 'of', 'shokurov', 'type', 'we', 'develop', 'techniques', 'to', 'deal', 'with', 'such', 'objects', 'and', 'propose', 'two', 'natural', 'conjectures', 'regarding', 'shokurov', 'algebras', 'and', 'adjoint', 'algebras', 'we', 'confirm', 'these', 'conjectures', 'in', 'the', 'case', 'of', 'affine', 'curves']] | [-0.11473888345062733, 0.004664720796352747, -0.08363216051033565, 0.1169741016109379, -0.10784397769377244, -0.16428451747538483, -0.014097977211052666, 0.34341822005808353, -0.2979479017762505, -0.23997293775711132, 0.1342672009890595, -0.22855059901366429, -0.21111906722796206, 0.18007148828889644, -0.22255318599505997, 0.0023668653198650907, 0.019169475845232303, 0.039920295617182036, -0.12859794748376827, -0.3450008579434789, 0.44178597593908103, -0.028483882579686388, 0.2307305319272742, 0.07907379587770116, 0.0800892501803381, 0.030837952710536062, -0.08249769012956899, -0.03045968656257099, -0.19084256746787198, 0.24321067922900677, 0.33287954512907536, 0.11861932410725526, 0.25288134273521756, -0.4133937797908272, -0.12025320967089156, 0.15172847655924912, 0.11903157491030228, 0.10257312195489601, -0.012663148077470916, -0.23351224104645757, 0.1283189710609767, -0.1756280268333396, -0.213289837010813, -0.09085179380692389, 0.029063455097624386, -0.008536793443621422, -0.21194574255876394, 0.030646413127530595, 0.09777611220369534, 0.1566747902531405, -0.11343657276688182, -0.12218983190096154, 0.036237660348795504, 0.06712813447324598, 0.03427606746459342, -0.02340281387905077, 0.024751548370232388, -0.10673053953701592, -0.2343245559961212, 0.35367498945977005, 0.03739955886362158, -0.17837646109413127, 0.20176152244438322, -0.14866192315286975, -0.23554988832650137, -0.00044514510628520225, 0.11728949236626528, 0.151924890324079, -0.0347522290765631, 0.12038433334875699, -0.0853601649631651, 0.022484975315782488, 0.07731291158504937, 0.011955052082027708, 0.16929166075032281, 0.10105430034502429, 0.0027478629038954266, 0.13054814592849615, 0.010297486976701386, -0.041462358144321004, -0.3266917549986012, -0.23459493420181834, -0.01537383594835291, 0.06921757078653544, -0.04959150402728297, -0.1460200845054826, 0.38857421718005625, 0.19928177413815745, 0.15756328227188515, 0.15462368308585517, 0.2180752488879525, 0.07968920199390576, 0.04024192504584789, 0.014058905511106156, 0.1778816244237087, 0.28893475462587515, 0.035050308730985434, -0.10202152790188106, -0.05911074552152838, 0.20117463547812434] |
707.4415 | Relative abundances of cosmic ray nuclei B-C-N-O in the energy region
from 10 GeV/n to 300 GeV/n. Results from ATIC-2 (the science flight of ATIC) | The ATIC balloon-borne experiment measures the energy spectra of elements
from H to Fe in primary cosmic rays from about 100 GeV to 100 TeV. ATIC is
comprised of a fully active bismuth germanate calorimeter, a carbon target with
embedded scintillator hodoscopes, and a silicon matrix that is used as the main
charge detector. The silicon matrix produces good charge resolution for protons
and helium but only partial resolution for heavier nuclei. In the present
paper, the charge resolution of ATIC was improved and backgrounds were reduced
in the region from Be to Si by using the upper layer of the scintillator
hodoscope as an additional charge detector. The flux ratios of nuclei B/C, C/O,
N/O in the energy region from about 10 GeV/nucleon to 300 GeV/nucleon obtained
from this high-resolution, high-quality charge spectra are presented, and
compared with existing theoretical predictions.
| astro-ph | the atic balloonborne experiment measures the energy spectra of elements from h to fe in primary cosmic rays from about 100 gev to 100 tev atic is comprised of a fully active bismuth germanate calorimeter a carbon target with embedded scintillator hodoscopes and a silicon matrix that is used as the main charge detector the silicon matrix produces good charge resolution for protons and helium but only partial resolution for heavier nuclei in the present paper the charge resolution of atic was improved and backgrounds were reduced in the region from be to si by using the upper layer of the scintillator hodoscope as an additional charge detector the flux ratios of nuclei bc co no in the energy region from about 10 gevnucleon to 300 gevnucleon obtained from this highresolution highquality charge spectra are presented and compared with existing theoretical predictions | [['the', 'atic', 'balloonborne', 'experiment', 'measures', 'the', 'energy', 'spectra', 'of', 'elements', 'from', 'h', 'to', 'fe', 'in', 'primary', 'cosmic', 'rays', 'from', 'about', '100', 'gev', 'to', '100', 'tev', 'atic', 'is', 'comprised', 'of', 'a', 'fully', 'active', 'bismuth', 'germanate', 'calorimeter', 'a', 'carbon', 'target', 'with', 'embedded', 'scintillator', 'hodoscopes', 'and', 'a', 'silicon', 'matrix', 'that', 'is', 'used', 'as', 'the', 'main', 'charge', 'detector', 'the', 'silicon', 'matrix', 'produces', 'good', 'charge', 'resolution', 'for', 'protons', 'and', 'helium', 'but', 'only', 'partial', 'resolution', 'for', 'heavier', 'nuclei', 'in', 'the', 'present', 'paper', 'the', 'charge', 'resolution', 'of', 'atic', 'was', 'improved', 'and', 'backgrounds', 'were', 'reduced', 'in', 'the', 'region', 'from', 'be', 'to', 'si', 'by', 'using', 'the', 'upper', 'layer', 'of', 'the', 'scintillator', 'hodoscope', 'as', 'an', 'additional', 'charge', 'detector', 'the', 'flux', 'ratios', 'of', 'nuclei', 'bc', 'co', 'no', 'in', 'the', 'energy', 'region', 'from', 'about', '10', 'gevnucleon', 'to', '300', 'gevnucleon', 'obtained', 'from', 'this', 'highresolution', 'highquality', 'charge', 'spectra', 'are', 'presented', 'and', 'compared', 'with', 'existing', 'theoretical', 'predictions']] | [0.006268752927393456, 0.17890324006211686, -0.0010973289346610997, 0.05219113665163963, 0.029452685194588463, -0.11201273033749574, 0.00860775654240262, 0.42315448028966784, -0.19870842784367712, -0.40364667074754834, 0.003033131082266779, -0.41980302691931876, 0.06822124333448813, 0.18212899842470046, -0.006281041747211597, 0.02009919816365754, 0.08784354278739069, -0.032149886804252445, -0.08143398818776379, -0.1564902696663409, 0.22707250024008394, 0.2104790347946388, 0.24634306675846307, 0.06591975397076195, 0.10145551377159714, -0.0627925028929382, -0.02966855291906797, -0.02055785840403446, -0.09545853636154789, 0.11366828533486319, 0.2822269662791653, 0.04914178818621686, 0.08697175932884164, -0.44753185014279795, -0.19922260088398464, 0.07059604790665104, 0.11432928618201067, 0.025311726447142347, -0.10918289913900826, -0.28155720964546355, 0.1296849804930389, -0.20022790966240664, -0.12056137062281265, 0.044281788658954095, -0.04360907870134942, 0.02540927175694788, -0.23810491438063097, 0.05461054032793085, -0.016449483085266302, 0.050396546150654434, -0.09022965252851989, -0.21174343208074045, -0.04288827744640515, 0.028017579528673644, 0.03910134369048329, 0.03213929352809636, 0.1923601544449027, -0.073608298769588, -0.06560847864971614, 0.3297828583597717, -0.049779518573007116, -0.08497557718910172, 0.1458297366650224, -0.19762416478430092, -0.07568428466509713, 0.28934187245961857, 0.14265939793967589, 0.09077702152696897, -0.1918059864055208, 0.06082839419258575, -0.027597494564399545, 0.2608110593946677, 0.08447126774314109, 0.04249265657747689, 0.21143270312139475, 0.23341852482932973, 0.04583870602810992, 0.052176829426660874, -0.21065528579318607, 0.03663254003401216, -0.3067660204816977, -0.1618726197630167, -0.1374073426524492, 0.07878852082239332, -0.05661991242426743, -0.07535259194449115, 0.3694068713107107, 0.0632762738936384, 0.23181420796334376, -0.07845770462717809, 0.29596415513627966, -0.008348611608134503, 0.08075316633531515, 0.031819174276061464, 0.30234624999804866, 0.18475930809541802, 0.17914142209747938, -0.17756629396315243, 0.012521467174888707, 0.028065628561512634] |
707.4416 | Consensus formation on adaptive networks | The structure of a network can significantly influence the properties of the
dynamical processes which take place on them. While many studies have been
devoted to this influence, much less attention has been devoted to the
interplay and feedback mechanisms between dynamical processes and network
topology on adaptive networks. Adaptive rewiring of links can happen in real
life systems such as acquaintance networks where people are more likely to
maintain a social connection if their views and values are similar. In our
study, we consider different variants of a model for consensus formation. Our
investigations reveal that the adaptation of the network topology fosters
cluster formation by enhancing communication between agents of similar opinion,
though it also promotes the division of these clusters. The temporal behavior
is also strongly affected by adaptivity: while, on static networks, it is
influenced by percolation properties, on adaptive networks, both the early and
late time evolution of the system are determined by the rewiring process. The
investigation of a variant of the model reveals that the scenarios of
transitions between consensus and polarized states are more robust on adaptive
networks.
| physics.soc-ph cond-mat.stat-mech | the structure of a network can significantly influence the properties of the dynamical processes which take place on them while many studies have been devoted to this influence much less attention has been devoted to the interplay and feedback mechanisms between dynamical processes and network topology on adaptive networks adaptive rewiring of links can happen in real life systems such as acquaintance networks where people are more likely to maintain a social connection if their views and values are similar in our study we consider different variants of a model for consensus formation our investigations reveal that the adaptation of the network topology fosters cluster formation by enhancing communication between agents of similar opinion though it also promotes the division of these clusters the temporal behavior is also strongly affected by adaptivity while on static networks it is influenced by percolation properties on adaptive networks both the early and late time evolution of the system are determined by the rewiring process the investigation of a variant of the model reveals that the scenarios of transitions between consensus and polarized states are more robust on adaptive networks | [['the', 'structure', 'of', 'a', 'network', 'can', 'significantly', 'influence', 'the', 'properties', 'of', 'the', 'dynamical', 'processes', 'which', 'take', 'place', 'on', 'them', 'while', 'many', 'studies', 'have', 'been', 'devoted', 'to', 'this', 'influence', 'much', 'less', 'attention', 'has', 'been', 'devoted', 'to', 'the', 'interplay', 'and', 'feedback', 'mechanisms', 'between', 'dynamical', 'processes', 'and', 'network', 'topology', 'on', 'adaptive', 'networks', 'adaptive', 'rewiring', 'of', 'links', 'can', 'happen', 'in', 'real', 'life', 'systems', 'such', 'as', 'acquaintance', 'networks', 'where', 'people', 'are', 'more', 'likely', 'to', 'maintain', 'a', 'social', 'connection', 'if', 'their', 'views', 'and', 'values', 'are', 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'adaptive', 'networks']] | [-0.14906565239277458, 0.09844774574977697, -0.08980437334606885, 0.08376578374749423, -0.05205486664393296, -0.13418257833954186, 0.07046071468521992, 0.4292353451732666, -0.2526568855579582, -0.30181024313694044, 0.10379733625043344, -0.23841476443809487, -0.2487718275039687, 0.14743333269080888, -0.03289824708675345, -0.0067726285427637265, 0.06481607274342609, 0.03569104401920471, 0.0031064342637296006, -0.28166487878413027, 0.35853079192763476, 0.09197306628489206, 0.3100547297777588, 0.03773665074409256, 0.04780302997878803, -0.010997875924071959, -0.05338236136094076, 0.026400175691652362, -0.10081850084257425, 0.09088672139018512, 0.21010489250853737, 0.1303611029032117, 0.33636410132185707, -0.45788495677713587, -0.27112013373088334, 0.11974171818464353, 0.15494598096276643, 0.08634013590410412, -0.02243924965366586, -0.31193651356584123, 0.09258525917351607, -0.14427962841000408, -0.04691574636906866, -0.07013350514875304, 0.024762315845858026, 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707.4417 | HiRes Estimates and Limits for Neutrino Fluxes at the Highest Energies | The High Resolution Fly's Eye Experiment (HiRes) measures cosmic rays (CR) at
the highest energies using the air fluorescence technique. As data taking on
the Dugway Proving Grounds in Western Utah is finished, the HiRes data are
relevant for cosmogenic neutrinos in two different ways. We first use our best
fit to the measured HiRes CR spectrum together with a model of the
extragalactic CR sources to derive the expected cosmogenic neutrino and gamma
ray fluxes at Earth. We then use the HiRes data directly to set competitive
experimental limits on the electron and tau neutrino fluxes at the highest
energies.
| astro-ph | the high resolution flys eye experiment hires measures cosmic rays cr at the highest energies using the air fluorescence technique as data taking on the dugway proving grounds in western utah is finished the hires data are relevant for cosmogenic neutrinos in two different ways we first use our best fit to the measured hires cr spectrum together with a model of the extragalactic cr sources to derive the expected cosmogenic neutrino and gamma ray fluxes at earth we then use the hires data directly to set competitive experimental limits on the electron and tau neutrino fluxes at the highest energies | [['the', 'high', 'resolution', 'flys', 'eye', 'experiment', 'hires', 'measures', 'cosmic', 'rays', 'cr', 'at', 'the', 'highest', 'energies', 'using', 'the', 'air', 'fluorescence', 'technique', 'as', 'data', 'taking', 'on', 'the', 'dugway', 'proving', 'grounds', 'in', 'western', 'utah', 'is', 'finished', 'the', 'hires', 'data', 'are', 'relevant', 'for', 'cosmogenic', 'neutrinos', 'in', 'two', 'different', 'ways', 'we', 'first', 'use', 'our', 'best', 'fit', 'to', 'the', 'measured', 'hires', 'cr', 'spectrum', 'together', 'with', 'a', 'model', 'of', 'the', 'extragalactic', 'cr', 'sources', 'to', 'derive', 'the', 'expected', 'cosmogenic', 'neutrino', 'and', 'gamma', 'ray', 'fluxes', 'at', 'earth', 'we', 'then', 'use', 'the', 'hires', 'data', 'directly', 'to', 'set', 'competitive', 'experimental', 'limits', 'on', 'the', 'electron', 'and', 'tau', 'neutrino', 'fluxes', 'at', 'the', 'highest', 'energies']] | [0.010241350042633712, 0.18251733272569254, -0.01713671177159995, 0.17048081013024785, -0.05619522539898753, -0.06352333766873926, 0.029337625103071332, 0.4167130923271179, -0.20224231050146046, -0.38023697878234086, 0.012082704708445817, -0.41428005013614894, 0.01612136300187558, 0.2409282585605979, 0.028329484416171908, 0.0003963543986901641, 0.13098428518511354, -0.004668118348345161, -0.02193017196841538, -0.20785434405319392, 0.2747433172399178, 0.2697592960484326, 0.3082293737353757, 0.06825733525212854, 0.12771765560260973, -0.08415011717472226, -0.09938949738629162, -0.07614283394534141, -0.11235343971289695, 0.12214981359662488, 0.2584073533024639, 0.15842871128581465, 0.08016621235758066, -0.4250947247631848, -0.19946909051388503, 0.12602438537636773, 0.10868303721304982, 0.014867965672165155, -0.03018021408934146, -0.31725330512970684, 0.051180058056488634, -0.12700237688142807, -0.13040173679124564, 0.03594773921184242, -0.09090221946127713, 0.013421727627282963, -0.2199376326194033, 0.01371832073200494, -0.07994653971865773, 0.08237426795996726, -0.12744154530286322, -0.19472786244470627, 0.006187679562717676, 0.1329335325350985, 0.09549106111866422, -0.01207896093837917, 0.12983969658613204, -0.0683561415085569, -0.10349390382412821, 0.3816701352968812, -0.10706406213808804, -0.07303468684433029, 0.1901349621731788, -0.24417798497714102, -0.18668294384609907, 0.19232485850341619, 0.1450907309073955, 0.054112076330929994, -0.19980585294775666, 0.06013607266242616, -0.012335867159999908, 0.12868439849466085, 0.06932238037232309, -0.023964372873306276, 0.2195716458465904, 0.17020561884972266, 0.0971602468099445, -0.031616226212354374, -0.2478936592442915, 0.1044546024966985, -0.2910740457102656, -0.1264515492785722, -0.1758183683315292, 0.07149269782472402, -0.07366904179536504, -0.042656090563978066, 0.384730725325644, 0.11686224737204612, 0.1964568500686437, 0.03282637615920976, 0.3453438921645284, 0.0390122919845453, 0.0012121934117749332, 0.05499369842465967, 0.3033790960162878, 0.06746646219864488, 0.17385666969697922, -0.21965556068345904, 0.030614588144235313, 0.04559958998113871] |
707.4418 | Transient termination of synaptically sustained spiking by stochastic
inputs in a pair of coupled Type 1 neurons | We examine the effects of stochastic input currents on the firing behavior of
two excitable neurons coupled with fast excitatory synapses. In such cells
(models), typified by the quadratic integrate and fire model, mutual synaptic
coupling can cause sustained firing or oscillatory behavior which is
necessarily antiphase. Additive Gaussian white noise can transiently terminate
the oscillations, hence destroying the stable limit cycle. Further application
of the noise may return the system to spiking activity. In a particular noise
range, the transition times between the oscillating and the resting state are
strongly asymmetric. We numerically investigate an approximate basin of
attraction, A, of the periodic orbit and use Markov process theory to explain
the firing behavior in terms of the probability of escape of trajectories from
A
| q-bio.NC | we examine the effects of stochastic input currents on the firing behavior of two excitable neurons coupled with fast excitatory synapses in such cells models typified by the quadratic integrate and fire model mutual synaptic coupling can cause sustained firing or oscillatory behavior which is necessarily antiphase additive gaussian white noise can transiently terminate the oscillations hence destroying the stable limit cycle further application of the noise may return the system to spiking activity in a particular noise range the transition times between the oscillating and the resting state are strongly asymmetric we numerically investigate an approximate basin of attraction a of the periodic orbit and use markov process theory to explain the firing behavior in terms of the probability of escape of trajectories from a | [['we', 'examine', 'the', 'effects', 'of', 'stochastic', 'input', 'currents', 'on', 'the', 'firing', 'behavior', 'of', 'two', 'excitable', 'neurons', 'coupled', 'with', 'fast', 'excitatory', 'synapses', 'in', 'such', 'cells', 'models', 'typified', 'by', 'the', 'quadratic', 'integrate', 'and', 'fire', 'model', 'mutual', 'synaptic', 'coupling', 'can', 'cause', 'sustained', 'firing', 'or', 'oscillatory', 'behavior', 'which', 'is', 'necessarily', 'antiphase', 'additive', 'gaussian', 'white', 'noise', 'can', 'transiently', 'terminate', 'the', 'oscillations', 'hence', 'destroying', 'the', 'stable', 'limit', 'cycle', 'further', 'application', 'of', 'the', 'noise', 'may', 'return', 'the', 'system', 'to', 'spiking', 'activity', 'in', 'a', 'particular', 'noise', 'range', 'the', 'transition', 'times', 'between', 'the', 'oscillating', 'and', 'the', 'resting', 'state', 'are', 'strongly', 'asymmetric', 'we', 'numerically', 'investigate', 'an', 'approximate', 'basin', 'of', 'attraction', 'a', 'of', 'the', 'periodic', 'orbit', 'and', 'use', 'markov', 'process', 'theory', 'to', 'explain', 'the', 'firing', 'behavior', 'in', 'terms', 'of', 'the', 'probability', 'of', 'escape', 'of', 'trajectories', 'from', 'a']] | [-0.17540587406117647, 0.21049524498985625, -0.02997305489603489, 0.07118530196675281, -0.007506330423648395, -0.14973537505249537, 0.0943989123666792, 0.3638949305380857, -0.29893512840545367, -0.22703165130778438, 0.07591123081141314, -0.2642779391155475, -0.25106986438567264, 0.14909234362476992, -0.08408515416233549, 0.008533163931191204, 0.0596867802308961, 0.08354905947427531, 0.01720677324319406, -0.20442075653755593, 0.24682052229117188, 0.01546116577579625, 0.25558558390993213, -0.05452087298700852, 0.11259636691667968, -0.0636306952533593, 0.03850605011001111, -0.030837850142565983, -0.08067447095215487, 0.0551470260021262, 0.20359372584249605, 0.06066065496073977, 0.2818174318129581, -0.5197551724471389, -0.2520767333769491, 0.16615364351494621, 0.1567371322046725, 0.12474893640989201, 0.018244491069621983, -0.3039183467451025, 0.051967083477407756, -0.152575238042378, -0.11137496988799069, -0.06916931565917496, 0.032432258343471895, 0.11945970717351884, -0.3032878131960474, 0.11174684730062764, 0.12138961919822217, 0.04367079624226169, -0.07096841214742097, -0.003873544053122815, -0.05259249631374601, 0.16051552455598814, 0.0359010797126555, -0.030023219887100692, 0.2141050352190163, -0.14483631865697957, -0.10563859093697771, 0.24559625917870093, -0.10850393700797761, -0.18373526162412462, 0.21988411714130687, -0.15975073097566594, -0.041398046131704065, 0.15940617983569466, 0.20883447730854626, 0.046063283480526435, -0.16231519024863483, 0.03124095056444362, 0.05189475711316816, 0.17790469969253217, 0.10008989795968527, 0.021256942427643234, 0.24877515887021132, 0.20041020671533982, 0.05313069938075921, 0.1453199343356703, -0.0982766521093066, -0.1603139754170404, -0.25346019004456816, -0.031145538964737502, -0.13069193919802766, 0.08366799769675477, -0.09304396976175855, -0.22480482518643377, 0.44052250586479663, 0.13163945894588583, 0.2074205768368547, 0.07813540594892517, 0.23100187399956798, 0.15538827182784204, -0.00033441456385873374, 0.060312018796269386, 0.2100949922949815, 0.1715643429049542, 0.09786174668457419, -0.3126240892073376, 0.1222876415972317, 0.012790754744191729] |
707.4419 | OVRO N2H+ Observations of Class 0 Protostars: Constraints on the
Formation of Binary Stars | We present the results of an interferometric study of the N2H+(1--0) emission
from nine nearby, isolated, low-mass protostellar cores, using the OVRO
millimeter array. The main goal of this study is the kinematic characterization
of the cores in terms of rotation, turbulence, and fragmentation. Eight of the
nine objects have compact N2H+ cores with FWHM radii of 1200 -- 3500 AU,
spatially coinciding with the thermal dust continuum emission. The only more
evolved (Class I) object in the sample (CB 188) shows only faint and extended
N2H+ emission. The mean N2H+ line width was found to be 0.37 km/s. Estimated
virial masses range from 0.3 to 1.2 M_sun. We find that thermal and turbulent
energy support are about equally important in these cores, while rotational
support is negligible. The measured velocity gradients across the cores range
from 6 to 24 km/s/pc. Assuming these gradients are produced by bulk rotation,
we find that the specific angular momenta of the observed Class 0 protostellar
cores are intermediate between those of dense (prestellar) molecular cloud
cores and the orbital angular momenta of wide PMS binary systems. There appears
to be no evolution (decrease) of angular momentum from the smallest prestellar
cores via protostellar cores to wide PMS binary systems. In the context that
most protostellar cores are assumed to fragment and form binary stars, this
means that most of the angular momentum contained in the collapse region is
transformed into orbital angular momentum of the resulting stellar binary
systems.
| astro-ph | we present the results of an interferometric study of the n2h10 emission from nine nearby isolated lowmass protostellar cores using the ovro millimeter array the main goal of this study is the kinematic characterization of the cores in terms of rotation turbulence and fragmentation eight of the nine objects have compact n2h cores with fwhm radii of 1200 3500 au spatially coinciding with the thermal dust continuum emission the only more evolved class i object in the sample cb 188 shows only faint and extended n2h emission the mean n2h line width was found to be 037 kms estimated virial masses range from 03 to 12 m_sun we find that thermal and turbulent energy support are about equally important in these cores while rotational support is negligible the measured velocity gradients across the cores range from 6 to 24 kmspc assuming these gradients are produced by bulk rotation we find that the specific angular momenta of the observed class 0 protostellar cores are intermediate between those of dense prestellar molecular cloud cores and the orbital angular momenta of wide pms binary systems there appears to be no evolution decrease of angular momentum from the smallest prestellar cores via protostellar cores to wide pms binary systems in the context that most protostellar cores are assumed to fragment and form binary stars this means that most of the angular momentum contained in the collapse region is transformed into orbital angular momentum of the resulting stellar binary systems | [['we', 'present', 'the', 'results', 'of', 'an', 'interferometric', 'study', 'of', 'the', 'n2h10', 'emission', 'from', 'nine', 'nearby', 'isolated', 'lowmass', 'protostellar', 'cores', 'using', 'the', 'ovro', 'millimeter', 'array', 'the', 'main', 'goal', 'of', 'this', 'study', 'is', 'the', 'kinematic', 'characterization', 'of', 'the', 'cores', 'in', 'terms', 'of', 'rotation', 'turbulence', 'and', 'fragmentation', 'eight', 'of', 'the', 'nine', 'objects', 'have', 'compact', 'n2h', 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707.442 | On the smoothness of static multi-black hole solutions of
higher-dimensional Einstein-Maxwell theory | Previous work has shown that static multi-black hole solutions of
higher-dimensional Einstein-Maxwell theory do not possess smooth horizons. We
show that the lack of smoothness is worse than previously demonstrated. We
consider solutions describing multiple black holes on a common axis. In five
dimensions, the metric is generically twice, but not three times, continuously
differentiable at the horizon. The Maxwell field is generically continuous, but
not differentiable, at the horizon. In more than five dimensions, the metric is
once, but not twice, continuously differentiable, and there is a
parallely-propagated curvature singularity at the horizon. The Maxwell field
strength is again continuous, but not differentiable, at the horizon.
| gr-qc hep-th | previous work has shown that static multiblack hole solutions of higherdimensional einsteinmaxwell theory do not possess smooth horizons we show that the lack of smoothness is worse than previously demonstrated we consider solutions describing multiple black holes on a common axis in five dimensions the metric is generically twice but not three times continuously differentiable at the horizon the maxwell field is generically continuous but not differentiable at the horizon in more than five dimensions the metric is once but not twice continuously differentiable and there is a parallelypropagated curvature singularity at the horizon the maxwell field strength is again continuous but not differentiable at the horizon | [['previous', 'work', 'has', 'shown', 'that', 'static', 'multiblack', 'hole', 'solutions', 'of', 'higherdimensional', 'einsteinmaxwell', 'theory', 'do', 'not', 'possess', 'smooth', 'horizons', 'we', 'show', 'that', 'the', 'lack', 'of', 'smoothness', 'is', 'worse', 'than', 'previously', 'demonstrated', 'we', 'consider', 'solutions', 'describing', 'multiple', 'black', 'holes', 'on', 'a', 'common', 'axis', 'in', 'five', 'dimensions', 'the', 'metric', 'is', 'generically', 'twice', 'but', 'not', 'three', 'times', 'continuously', 'differentiable', 'at', 'the', 'horizon', 'the', 'maxwell', 'field', 'is', 'generically', 'continuous', 'but', 'not', 'differentiable', 'at', 'the', 'horizon', 'in', 'more', 'than', 'five', 'dimensions', 'the', 'metric', 'is', 'once', 'but', 'not', 'twice', 'continuously', 'differentiable', 'and', 'there', 'is', 'a', 'parallelypropagated', 'curvature', 'singularity', 'at', 'the', 'horizon', 'the', 'maxwell', 'field', 'strength', 'is', 'again', 'continuous', 'but', 'not', 'differentiable', 'at', 'the', 'horizon']] | [-0.16371078611536058, 0.09979839867666224, -0.07282541952324363, 0.11219314267674356, -0.1173735414368083, -0.19005042744387504, -0.08410797503289222, 0.38937035137963183, -0.18565366042444026, -0.23157029835296408, 0.16639712798839681, -0.29634197418718544, -0.13789811403104016, 0.19519705307024163, -0.08743069732104833, 0.01980281856244887, -0.016666065339209897, 0.11624795393930432, -0.1279189600916755, -0.3109692449018113, 0.38604738194723875, 0.014396157620896428, 0.247936669227509, 0.03206739528983269, 0.14912451195688742, -0.017490808777335397, 0.04381539267575685, 0.11971993402156206, -0.11024082134511291, -0.008281178403434888, 0.23490408913425678, 0.09396852771224419, 0.2663535796553951, -0.41169285348985557, -0.255820261692312, 0.1266686225459331, 0.156410834154571, 0.12213838110098017, 0.003324428213434074, -0.23286250590364327, 0.0874185818093741, -0.14089334879140808, -0.16992993046582308, -0.05284248334619234, 0.06121672458182317, -0.07693658873684844, -0.18602517252471648, 0.06802968933897198, 0.08785477425147481, -0.00812190209810824, -0.12896324077375093, -0.03000866795257437, -0.0690164970462474, 0.03596293589842664, 0.14933311191435797, 0.1165409356768612, 0.15780474575025574, -0.08536229212329073, -0.07814357544400923, 0.2931766788527932, -0.04239295807558349, -0.25587495486691314, 0.22662131889846246, -0.26234480981135144, -0.0863817284885302, 0.18673619426532104, 0.08599533330438272, 0.2044487195616623, -0.15260459102233345, 0.17066179864264516, -0.005687408439182448, 0.21982926541921805, 0.13334635306887752, 0.02196963140213827, 0.27699491510800317, 0.08707004463967849, 0.16073018260836108, 0.08027482773880211, -0.005726220747368094, -0.14184431173785958, -0.33573558179382673, -0.12104852373694193, -0.19112915277727088, 0.08664857970733517, -0.11661202275127783, -0.2110438478354448, 0.32778585614320244, 0.08940819334809862, 0.1676849244087759, 0.1197322131187286, 0.24438226513992495, 0.11635179946502179, 0.11923236663470853, 0.18211476789471112, 0.33801017719197946, -0.001362607146630872, 0.15968366797995875, -0.11476578020253482, -0.0035055920499253946, 0.07765275011506845] |
707.4421 | Spicule emission profiles observed in \ion{He}{i} 10830 \AA | Off-the-limb observations with high spatial and spectral resolution will help
us understand the physical properties of spicules in the solar chromosphere
Spectropolarimetric observations of spicules in the \ion{He}{i} 10830 \AA\
multiplet were obtained with the Tenerife Infrared Polarimeter on the German
Vacuum Tower Telescope at the Observatorio del Teide (Tenerife, Spain). The
analysis shows the variation of the off-limb emission profiles as a function of
the distance to the visible solar limb. The ratio between the intensities of
the blue and the red components of this triplet $({\cal R}=I_{\rm blue}/I_{\rm
red})$ is an observational signature of the optical thickness along the light
path, which is related to the intensity of the coronal irradiation. We present
observations of the intensity profiles of spicules above a quiet Sun region.
The observable ${\cal R}$ as a function of the distance to the visible limb is
also given. We have compared our observational results to the intensity ratio
obtained from detailed radiative transfer calculations in semi-empirical models
of the solar atmosphere assuming spherical geometry. The agreement is purely
qualitative. We argue that future models of the solar chromosphere and
transition region should account for the observational constraints presented
here.
| astro-ph | offthelimb observations with high spatial and spectral resolution will help us understand the physical properties of spicules in the solar chromosphere spectropolarimetric observations of spicules in the ionhei 10830 aa multiplet were obtained with the tenerife infrared polarimeter on the german vacuum tower telescope at the observatorio del teide tenerife spain the analysis shows the variation of the offlimb emission profiles as a function of the distance to the visible solar limb the ratio between the intensities of the blue and the red components of this triplet cal ri_rm bluei_rm red is an observational signature of the optical thickness along the light path which is related to the intensity of the coronal irradiation we present observations of the intensity profiles of spicules above a quiet sun region the observable cal r as a function of the distance to the visible limb is also given we have compared our observational results to the intensity ratio obtained from detailed radiative transfer calculations in semiempirical models of the solar atmosphere assuming spherical geometry the agreement is purely qualitative we argue that future models of the solar chromosphere and transition region should account for the observational constraints presented here | [['offthelimb', 'observations', 'with', 'high', 'spatial', 'and', 'spectral', 'resolution', 'will', 'help', 'us', 'understand', 'the', 'physical', 'properties', 'of', 'spicules', 'in', 'the', 'solar', 'chromosphere', 'spectropolarimetric', 'observations', 'of', 'spicules', 'in', 'the', 'ionhei', '10830', 'aa', 'multiplet', 'were', 'obtained', 'with', 'the', 'tenerife', 'infrared', 'polarimeter', 'on', 'the', 'german', 'vacuum', 'tower', 'telescope', 'at', 'the', 'observatorio', 'del', 'teide', 'tenerife', 'spain', 'the', 'analysis', 'shows', 'the', 'variation', 'of', 'the', 'offlimb', 'emission', 'profiles', 'as', 'a', 'function', 'of', 'the', 'distance', 'to', 'the', 'visible', 'solar', 'limb', 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707.4422 | Specific heat of a one-dimensional interacting Fermi system: the role of
anomalies | We re-visit the issue of the temperature dependence of the specific heat C(T)
for interacting fermions in 1D. The charge component C_c(T) scales linearly
with T, but the spin component C_s (T) displays a more complex behavior with T
as it depends on the backscattering amplitude, g_1, which scales down under RG
transformation and eventually behaves as g_1 (T) \sim 1/\log T. We show,
however, by direct perturbative calculations that C_s(T) is strictly linear in
T to order g^2_1 as it contains the renormalized backscattering amplitude not
on the scale of T, but at the cutoff scale set by the momentum dependence of
the interaction around 2k_F. The running amplitude g_1 (T) appears only at
third order and gives rise to an extra T/\log^3 T term in C_s (T). This agrees
with the results obtained by a variety of bosonization techniques. We also show
how to obtain the same expansion in g_1 within the sine-Gordon model.
| cond-mat.str-el cond-mat.mes-hall | we revisit the issue of the temperature dependence of the specific heat ct for interacting fermions in 1d the charge component c_ct scales linearly with t but the spin component c_s t displays a more complex behavior with t as it depends on the backscattering amplitude g_1 which scales down under rg transformation and eventually behaves as g_1 t sim 1log t we show however by direct perturbative calculations that c_st is strictly linear in t to order g2_1 as it contains the renormalized backscattering amplitude not on the scale of t but at the cutoff scale set by the momentum dependence of the interaction around 2k_f the running amplitude g_1 t appears only at third order and gives rise to an extra tlog3 t term in c_s t this agrees with the results obtained by a variety of bosonization techniques we also show how to obtain the same expansion in g_1 within the sinegordon model | [['we', 'revisit', 'the', 'issue', 'of', 'the', 'temperature', 'dependence', 'of', 'the', 'specific', 'heat', 'ct', 'for', 'interacting', 'fermions', 'in', '1d', 'the', 'charge', 'component', 'c_ct', 'scales', 'linearly', 'with', 't', 'but', 'the', 'spin', 'component', 'c_s', 't', 'displays', 'a', 'more', 'complex', 'behavior', 'with', 't', 'as', 'it', 'depends', 'on', 'the', 'backscattering', 'amplitude', 'g_1', 'which', 'scales', 'down', 'under', 'rg', 'transformation', 'and', 'eventually', 'behaves', 'as', 'g_1', 't', 'sim', '1log', 't', 'we', 'show', 'however', 'by', 'direct', 'perturbative', 'calculations', 'that', 'c_st', 'is', 'strictly', 'linear', 'in', 't', 'to', 'order', 'g2_1', 'as', 'it', 'contains', 'the', 'renormalized', 'backscattering', 'amplitude', 'not', 'on', 'the', 'scale', 'of', 't', 'but', 'at', 'the', 'cutoff', 'scale', 'set', 'by', 'the', 'momentum', 'dependence', 'of', 'the', 'interaction', 'around', '2k_f', 'the', 'running', 'amplitude', 'g_1', 't', 'appears', 'only', 'at', 'third', 'order', 'and', 'gives', 'rise', 'to', 'an', 'extra', 'tlog3', 't', 'term', 'in', 'c_s', 't', 'this', 'agrees', 'with', 'the', 'results', 'obtained', 'by', 'a', 'variety', 'of', 'bosonization', 'techniques', 'we', 'also', 'show', 'how', 'to', 'obtain', 'the', 'same', 'expansion', 'in', 'g_1', 'within', 'the', 'sinegordon', 'model']] | [-0.16574003165694307, 0.23763883810878803, -0.07810403832106613, 0.03524665954504527, -0.05745144745067152, -0.13824888086555148, 0.03048086626564755, 0.34361285750382864, -0.27399728840423954, -0.28440368540502864, 0.05570993321381655, -0.3104431098996619, -0.06215888039312429, 0.17078104726300616, 0.050783990168627474, -0.01571435227859278, -0.024644514868413313, 0.12628405309263982, -0.09957776972384867, -0.21265369587961366, 0.29412395396921176, 0.033889749735666844, 0.23718030153609374, 0.08753680074975516, 0.08455850904064825, 0.0210447018826076, 0.00885424353608411, 0.019504205287233286, -0.14478846373261156, -0.0193630600914213, 0.20195903745061394, -0.010617277024198154, 0.19907933375280765, -0.3574299275429213, -0.19878077920027126, 0.04758053704536234, 0.1635827161371708, 0.06952133869335324, 0.021957508224694916, -0.19445698604891626, 0.07209475012800468, -0.15490288841325084, -0.15568992157551928, -0.09513476893605947, 0.06195667938152754, -0.03558642661816812, -0.29591983106608194, 0.14279878974326388, 0.07538361913141083, 0.008658043998687337, 0.013962893253740142, -0.09806753984147232, -0.07367793311596257, 0.07027485097752385, 0.1008601699175094, 0.10509371735669941, 0.12035385098344847, -0.14955622794048015, -0.05876882804947254, 0.3613970162943492, -0.15230636080967422, -0.14912981989343035, 0.1519095577555252, -0.20852065365457165, -0.11427020585754874, 0.11842251402703327, 0.08648982437120543, 0.1387195578986304, -0.09316903956803596, 0.17183943943720117, -0.01097140754146952, 0.18346529484428223, 0.09328606844197934, 0.032715519713663974, 0.1617754339453539, 0.15937082551030163, 0.08012190816035263, 0.1109908683129641, -0.06033172837026369, -0.04896891171327987, -0.35208657747925887, -0.06712744422135206, -0.17715468741588147, 0.09922842379955017, -0.11209114351396576, -0.1431172481658899, 0.37075309667224976, 0.13579369040544287, 0.2598050037837204, 0.07134273055609121, 0.24816496399371257, 0.14645923540809153, 0.11482467519399388, 0.12184596628108932, 0.1726935223145167, 0.1421083814138851, 0.12304223971624001, -0.29889842466636884, 0.0031158543637728477, 0.06456887755646473] |
707.4423 | Apoastron Shift Constraints on Dark Matter Distribution at the Galactic
Center | The existence of dark matter (DM) at scales of few pc down to $\simeq
10^{-5}$ pc around the centers of galaxies and in particular in the Galactic
Center region has been considered in the literature. Under the assumption that
such a DM clump, principally constituted by non-baryonic matter (like WIMPs)
does exist at the center of our galaxy, the study of the $\gamma$-ray emission
from the Galactic Center region allows us to constrain both the mass and the
size of this DM sphere. Further constraints on the DM distribution parameters
may be derived by observations of bright infrared stars around the Galactic
Center. Hall and Gondolo \cite{hallgondolo} used estimates of the enclosed mass
obtained in various ways and tabulated by Ghez et al.
\cite{Ghez_2003,Ghez_2005}. Moreover, if a DM cusp does exist around the
Galactic Center it could modify the trajectories of stars moving around it in a
sensible way depending on the DM mass distribution. Here, we discuss the
constraints that can be obtained with the orbit analysis of stars (as S2 and
S16) moving inside the DM concentration with present and next generations of
large telescopes. In particular, consideration of the S2 star apoastron shift
may allow improving limits on the DM mass and size.
| astro-ph | the existence of dark matter dm at scales of few pc down to simeq 105 pc around the centers of galaxies and in particular in the galactic center region has been considered in the literature under the assumption that such a dm clump principally constituted by nonbaryonic matter like wimps does exist at the center of our galaxy the study of the gammaray emission from the galactic center region allows us to constrain both the mass and the size of this dm sphere further constraints on the dm distribution parameters may be derived by observations of bright infrared stars around the galactic center hall and gondolo citehallgondolo used estimates of the enclosed mass obtained in various ways and tabulated by ghez et al citeghez_2003ghez_2005 moreover if a dm cusp does exist around the galactic center it could modify the trajectories of stars moving around it in a sensible way depending on the dm mass distribution here we discuss the constraints that can be obtained with the orbit analysis of stars as s2 and s16 moving inside the dm concentration with present and next generations of large telescopes in particular consideration of the s2 star apoastron shift may allow improving limits on the dm mass and size | [['the', 'existence', 'of', 'dark', 'matter', 'dm', 'at', 'scales', 'of', 'few', 'pc', 'down', 'to', 'simeq', '105', 'pc', 'around', 'the', 'centers', 'of', 'galaxies', 'and', 'in', 'particular', 'in', 'the', 'galactic', 'center', 'region', 'has', 'been', 'considered', 'in', 'the', 'literature', 'under', 'the', 'assumption', 'that', 'such', 'a', 'dm', 'clump', 'principally', 'constituted', 'by', 'nonbaryonic', 'matter', 'like', 'wimps', 'does', 'exist', 'at', 'the', 'center', 'of', 'our', 'galaxy', 'the', 'study', 'of', 'the', 'gammaray', 'emission', 'from', 'the', 'galactic', 'center', 'region', 'allows', 'us', 'to', 'constrain', 'both', 'the', 'mass', 'and', 'the', 'size', 'of', 'this', 'dm', 'sphere', 'further', 'constraints', 'on', 'the', 'dm', 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'may', 'allow', 'improving', 'limits', 'on', 'the', 'dm', 'mass', 'and', 'size']] | [-0.0846276942528693, 0.13696688787746883, -0.08840282008453619, 0.07670317578481, -0.09376764746711534, -0.04424640262846415, 0.04794716740719855, 0.34093144336057934, -0.1839503360336975, -0.3725294351586889, 0.063127343518906, -0.2732268846319165, 0.00678704641348518, 0.21265945803287312, -0.0203609999623629, -0.026914524018887758, 0.01817969465228802, 0.01790867019878408, -0.05633025526242586, -0.24196943517217376, 0.31890573337738054, 0.0696112782940926, 0.15849669833265828, 0.03168812267312223, 0.07181515945943401, -0.03466261971705392, -0.03278367868031138, -0.03192389419521479, -0.16491568086512773, 0.06913494493460794, 0.17924424595035174, 0.1091845862475548, 0.1634804033018037, -0.3865484239341801, -0.21418677594549224, 0.1533244196690765, 0.215059264171549, 0.04499866997395978, -0.08508527711405893, -0.31774570194173457, 0.0873781348897918, -0.18338677543215454, -0.2047338964812476, 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707.4424 | Elliptic Flow, Initial Eccentricity and Elliptic Flow fluctuations in
Heavy Ion Collisions at RHIC | We present measurements of elliptic flow and event-by-event fluctuations
established by the PHOBOS experiment. Elliptic flow scaled by participant
eccentricity is found to be similar for both systems when collisions with the
same number of participants or the same particle area density are compared. The
agreement of elliptic flow between Au+Au and Cu+Cu collisions provides evidence
that the matter is created in the initial stage of relativistic heavy ion
collisions with transverse granularity similar to that of the participant
nucleons. The event-by-event fluctuation results reveal that the initial
collision geometry is translated into the final state azimuthal particle
distribution, leading to an event-by-event proportionality between the observed
elliptic flow and initial eccentricity.
| nucl-ex | we present measurements of elliptic flow and eventbyevent fluctuations established by the phobos experiment elliptic flow scaled by participant eccentricity is found to be similar for both systems when collisions with the same number of participants or the same particle area density are compared the agreement of elliptic flow between auau and cucu collisions provides evidence that the matter is created in the initial stage of relativistic heavy ion collisions with transverse granularity similar to that of the participant nucleons the eventbyevent fluctuation results reveal that the initial collision geometry is translated into the final state azimuthal particle distribution leading to an eventbyevent proportionality between the observed elliptic flow and initial eccentricity | [['we', 'present', 'measurements', 'of', 'elliptic', 'flow', 'and', 'eventbyevent', 'fluctuations', 'established', 'by', 'the', 'phobos', 'experiment', 'elliptic', 'flow', 'scaled', 'by', 'participant', 'eccentricity', 'is', 'found', 'to', 'be', 'similar', 'for', 'both', 'systems', 'when', 'collisions', 'with', 'the', 'same', 'number', 'of', 'participants', 'or', 'the', 'same', 'particle', 'area', 'density', 'are', 'compared', 'the', 'agreement', 'of', 'elliptic', 'flow', 'between', 'auau', 'and', 'cucu', 'collisions', 'provides', 'evidence', 'that', 'the', 'matter', 'is', 'created', 'in', 'the', 'initial', 'stage', 'of', 'relativistic', 'heavy', 'ion', 'collisions', 'with', 'transverse', 'granularity', 'similar', 'to', 'that', 'of', 'the', 'participant', 'nucleons', 'the', 'eventbyevent', 'fluctuation', 'results', 'reveal', 'that', 'the', 'initial', 'collision', 'geometry', 'is', 'translated', 'into', 'the', 'final', 'state', 'azimuthal', 'particle', 'distribution', 'leading', 'to', 'an', 'eventbyevent', 'proportionality', 'between', 'the', 'observed', 'elliptic', 'flow', 'and', 'initial', 'eccentricity']] | [-0.13822873329211557, 0.22982725862896455, -0.24549001120197186, 0.09859765075608655, 0.02850873044891549, -0.08126818689717245, -0.15615499886709067, 0.30729606170539875, -0.22139032387141405, -0.3412462884859581, -0.031539746810657174, -0.3715387066227517, 0.09633986442973505, 0.15457992851900468, -0.0031289296873312977, 0.1353849666442589, 0.17960343703660847, 0.04723846025756627, -0.02361414492042968, -0.2111484257425218, 0.3266913970208926, 0.09795163506558831, 0.2525895532287125, 0.10170263925517377, 0.09053990621136368, 0.07820347353533309, -0.014454862414692928, 0.06249034290002393, -0.14374021083072616, 0.08617244715190152, 0.2660571358532512, -7.077319813626153e-06, 0.1635495795801814, -0.41440932479287895, -0.14337291740646055, 0.08637037602186735, 0.1435376792589003, 0.09362916192705077, -0.10284134480129328, -0.24061697334816148, 0.09061919923156633, -0.22982312280302203, -0.15768261544872075, -0.0344789535239605, 0.02914838051323646, 0.09619462771141636, -0.3090923551353626, 0.17256142159541404, 0.02500080038069947, 0.1141963882255368, -0.050205890056011934, -0.14562813536031172, -0.12015510913417009, 0.04845070015627633, 0.11588058374763932, 0.0809060367714015, 0.18590625921413967, -0.13129881027167098, -0.09257692644314375, 0.38736465053599595, 0.007420043182459527, -0.16862769118909324, 0.14558498830696667, -0.21066139225981065, -0.0508076641500728, 0.13099688779246726, 0.2695046025245184, 0.05567463168439905, -0.13168986929836787, -0.06338970134207297, -0.05713138929006943, 0.21111606803154764, 0.10501436185274672, -0.022244803423031305, 0.18916993781957508, 0.13004913781229074, 0.03272960831444444, 0.09617778571464441, -0.09039693838976096, -0.13875581161534814, -0.355269073708249, -0.08282752428203821, -0.14924240573392517, 0.02617402054186511, -0.12002958348979778, -0.06048268768271165, 0.3615145410460952, 0.11859327461570501, 0.26467625152560814, -0.039436901379044036, 0.27176768568876597, 0.10155549872745594, -0.0032489864471634583, 0.14165997183798545, 0.27762662220214096, 0.1261396742400913, 0.20040157495532185, -0.30198043615174747, 0.10094187534247924, 0.07743788318683593] |
707.4425 | On the Hawking radiation as tunneling for a class of dynamical black
holes | The instability against emission of massless particles by the trapping
horizon of an evolving black hole is analyzed with the use of the
Hamilton-Jacobi method. The method automatically selects one special expression
for the surface gravity of a changing horizon. Indeed, the strength of the
horizon singularity turns out to be governed by the surface gravity as was
defined a decade ago by Hayward using Kodama's theory of spherically symmetric
gravitational fields. The theory also applies to point masses embedded in an
expanding universe, were the surface gravity is still related to Kodama-Hayward
theory. As a bonus of the tunneling method, we gain the insight that the
surface gravity still defines a temperature parameter as long as the evolution
is sufficiently slow that the black hole pass through a sequence of
quasi-equilibrium states.
| hep-th | the instability against emission of massless particles by the trapping horizon of an evolving black hole is analyzed with the use of the hamiltonjacobi method the method automatically selects one special expression for the surface gravity of a changing horizon indeed the strength of the horizon singularity turns out to be governed by the surface gravity as was defined a decade ago by hayward using kodamas theory of spherically symmetric gravitational fields the theory also applies to point masses embedded in an expanding universe were the surface gravity is still related to kodamahayward theory as a bonus of the tunneling method we gain the insight that the surface gravity still defines a temperature parameter as long as the evolution is sufficiently slow that the black hole pass through a sequence of quasiequilibrium states | [['the', 'instability', 'against', 'emission', 'of', 'massless', 'particles', 'by', 'the', 'trapping', 'horizon', 'of', 'an', 'evolving', 'black', 'hole', 'is', 'analyzed', 'with', 'the', 'use', 'of', 'the', 'hamiltonjacobi', 'method', 'the', 'method', 'automatically', 'selects', 'one', 'special', 'expression', 'for', 'the', 'surface', 'gravity', 'of', 'a', 'changing', 'horizon', 'indeed', 'the', 'strength', 'of', 'the', 'horizon', 'singularity', 'turns', 'out', 'to', 'be', 'governed', 'by', 'the', 'surface', 'gravity', 'as', 'was', 'defined', 'a', 'decade', 'ago', 'by', 'hayward', 'using', 'kodamas', 'theory', 'of', 'spherically', 'symmetric', 'gravitational', 'fields', 'the', 'theory', 'also', 'applies', 'to', 'point', 'masses', 'embedded', 'in', 'an', 'expanding', 'universe', 'were', 'the', 'surface', 'gravity', 'is', 'still', 'related', 'to', 'kodamahayward', 'theory', 'as', 'a', 'bonus', 'of', 'the', 'tunneling', 'method', 'we', 'gain', 'the', 'insight', 'that', 'the', 'surface', 'gravity', 'still', 'defines', 'a', 'temperature', 'parameter', 'as', 'long', 'as', 'the', 'evolution', 'is', 'sufficiently', 'slow', 'that', 'the', 'black', 'hole', 'pass', 'through', 'a', 'sequence', 'of', 'quasiequilibrium', 'states']] | [-0.13134637730252138, 0.1345994029970073, -0.14542915671713708, 0.10852042908335623, -0.06883157996628854, -0.1458438521328109, -0.002472363791386492, 0.2881594766211465, -0.22840402652754596, -0.28831828368785684, 0.10387146155195857, -0.26222116116581384, -0.12499434499182087, 0.19383610745443774, -0.039619395474350096, 0.011221524799781802, -0.010066193048807239, 0.04389515569909735, -0.0732196698042291, -0.2382606630514663, 0.3733862144592449, 0.1087294033679523, 0.2294544407089514, 0.018799098782745518, 0.11159431075509217, -0.001623048156471853, 0.03237873717750374, 0.08384992395653705, -0.13095949439008464, 0.02977026315778844, 0.18455350809053106, 0.12184767564758658, 0.2689360650483855, -0.40572527306560513, -0.27064288724073793, 0.03265190639189983, 0.14978381929064827, 0.16976289209680845, -0.08342351517517511, -0.28887247769302105, 0.05181354209710669, -0.1844355201416936, -0.20179111977927106, -0.017186946319626237, 0.055904353531147526, -0.041228183272077626, -0.20216833611011953, 0.0913340319409753, 0.035157280736007636, -0.03834503991844455, -0.09774644217362866, -0.00650165772373627, -0.08359394736475963, 0.10019435537838958, 0.12269695831945908, 0.07825871500627775, 0.1859508874805126, -0.10318600644070403, -0.0846742762854897, 0.356123104404406, -0.11235483842709866, -0.1687895588811375, 0.1500620128240268, -0.16737954575162298, -0.054303674184878296, 0.1701884379923778, 0.11021657643622641, 0.19152865298022342, -0.1667600787853948, 0.13621331325249003, -0.004740112398127864, 0.14003898290224912, 0.1173665747151507, 0.0057696503327977385, 0.3536607670086555, 0.1731348641678915, 0.04162083448548066, 0.14099543561539227, -0.08263705604660668, -0.11387973909679436, -0.3241368897847439, -0.15467377789266043, -0.18098732509433216, 0.07270652787318747, -0.11482917207303717, -0.2006068831848863, 0.3311241882734169, 0.09775770432490827, 0.1546018581480292, 0.021492637196709786, 0.24165082148703418, 0.11826396785077772, 0.05899025299901465, 0.08770409028599024, 0.29727225736854945, 0.15841385542198008, 0.08810283328035384, -0.24753964502938597, -0.012864995985887105, 0.0964005696727313] |
707.4426 | Effect of ferromagnetic contacts on spin accumulation in an all-metallic
lateral spin-valve system: Semiclassical spin drift-diffusion equations | We study the effect of the ferromagnetic (FM) contacts on the spin
accumulation in the lateral spin valve system for the collinear magnetization
configurations. When an additional FM electrode is introduced in the
all-metallic lateral spin-valve system, we find that the transresistance can be
fractionally suppressed or very weakly influenced depending on the position of
the additional FM electrode, and relative magnitudes of contact resistance and
the bulk resistance defined over the spin diffusion length. Nonlocal spin
signals such as nonlocal voltage drop and leakage spin currents are independent
of the magnetization orientation of the additional FM electrode. Even when the
additional contact is nonmagnetic, nonlocal spin signals can be changed by the
spin current leaking into the nonmagnetic electrode.
| cond-mat.mes-hall cond-mat.str-el | we study the effect of the ferromagnetic fm contacts on the spin accumulation in the lateral spin valve system for the collinear magnetization configurations when an additional fm electrode is introduced in the allmetallic lateral spinvalve system we find that the transresistance can be fractionally suppressed or very weakly influenced depending on the position of the additional fm electrode and relative magnitudes of contact resistance and the bulk resistance defined over the spin diffusion length nonlocal spin signals such as nonlocal voltage drop and leakage spin currents are independent of the magnetization orientation of the additional fm electrode even when the additional contact is nonmagnetic nonlocal spin signals can be changed by the spin current leaking into the nonmagnetic electrode | [['we', 'study', 'the', 'effect', 'of', 'the', 'ferromagnetic', 'fm', 'contacts', 'on', 'the', 'spin', 'accumulation', 'in', 'the', 'lateral', 'spin', 'valve', 'system', 'for', 'the', 'collinear', 'magnetization', 'configurations', 'when', 'an', 'additional', 'fm', 'electrode', 'is', 'introduced', 'in', 'the', 'allmetallic', 'lateral', 'spinvalve', 'system', 'we', 'find', 'that', 'the', 'transresistance', 'can', 'be', 'fractionally', 'suppressed', 'or', 'very', 'weakly', 'influenced', 'depending', 'on', 'the', 'position', 'of', 'the', 'additional', 'fm', 'electrode', 'and', 'relative', 'magnitudes', 'of', 'contact', 'resistance', 'and', 'the', 'bulk', 'resistance', 'defined', 'over', 'the', 'spin', 'diffusion', 'length', 'nonlocal', 'spin', 'signals', 'such', 'as', 'nonlocal', 'voltage', 'drop', 'and', 'leakage', 'spin', 'currents', 'are', 'independent', 'of', 'the', 'magnetization', 'orientation', 'of', 'the', 'additional', 'fm', 'electrode', 'even', 'when', 'the', 'additional', 'contact', 'is', 'nonmagnetic', 'nonlocal', 'spin', 'signals', 'can', 'be', 'changed', 'by', 'the', 'spin', 'current', 'leaking', 'into', 'the', 'nonmagnetic', 'electrode']] | [-0.2104461109692541, 0.22442072054557988, 0.008424714372570937, -0.0005357253675659497, -0.03918587199877947, -0.19486345239371683, 0.018898527217485632, 0.3918896012318631, -0.2810908765221635, -0.28587391366406034, 0.03022518023790326, -0.3181482370942831, -0.06141899019324531, 0.1917223335185554, 0.021252965341166902, -0.03651609681546688, -0.017741920861105123, 0.0006807913227627675, -0.12432110969287653, -0.18556489691448708, 0.28203673600995294, -0.039095538309387244, 0.27938359687880926, 0.12611774849162127, 0.07559255618058766, 0.05137854769345722, 0.08962760486562425, 0.07224688498924176, -0.09677397636921038, -0.0039690651698037985, 0.17447561299583564, -0.17096061234048346, 0.13461779892992734, -0.4959334638901055, -0.16851234191368955, 0.019816680966566007, 0.08669040102977306, 0.1746971168089658, 0.022610365778867467, -0.3189564895816147, 0.06691898984524111, -0.15139899604643384, -0.1047871869057417, -0.02150508688064292, 0.01004701245110482, -0.0021434467227663843, -0.2769017114304006, 0.12366121162970861, 0.1515779581680666, 0.0812328197217236, -0.04654755035104851, -0.1610063997854013, -0.14029703754931688, 0.11395850575136138, 0.058248874314206965, 0.06853711500298232, 0.2562527597357985, -0.12017470628488809, -0.11688299782884617, 0.2275154775978687, -0.05835439966758713, -0.20760851359227672, 0.12746071309860174, -0.1930003335153742, 0.039069896676422404, 0.1246814283716958, 0.13544119502961013, 0.07527941989246756, -0.18315365808593925, 0.022059924151108135, 0.025034175277687608, 0.1861844681824247, 0.07115891701929893, 0.05090772607751812, 0.2926290745381266, 0.22049865286874895, 0.11727514054594697, 0.14677719160730096, -0.18573609734497343, -0.0473108462523669, -0.2294646305992501, -0.16087869552429765, -0.21690419013611972, 0.15279218504826228, -0.11496495123295365, -0.16757652120819935, 0.4032133715149636, 0.1573073922113205, 0.13712721167442699, -0.09154669878383477, 0.2928231223622182, 0.10648351714383655, 0.1201602489221841, 0.012988029925812347, 0.22381409512211878, 0.186519005142812, 0.1175176904410667, -0.3598739373924521, 0.14519214988589133, -0.04962391725566704] |
707.4427 | Examination of unitarity condition (positive definiteness of expression
for transition probabilities) at three neutrino oscillations in vacuum | This work has shown that at strict fulfilment of condition $\Delta m^2_{1 3}
= \Delta m^2_{1 2} + \Delta m^2_{2 3}$ the expression for probability of $\nu_e
\to \nu_e$ transitions $P_{\nu_e \to \nu_e}(t)$ is positively defined at every
values of $\theta$ and $\beta$ while at any arbitrarily small deviation from
this condition it becomes negative. In order to make this expression for
probability transitions positively defined, it is necessary to put a limitation
on angle mixing $\beta$ at fixed value of $\theta= 32.45^o$ (i.e. the value for
$\beta$ must be $\beta \le 15^o \div 17^o$).
| hep-ph | this work has shown that at strict fulfilment of condition delta m2_1 3 delta m2_1 2 delta m2_2 3 the expression for probability of nu_e to nu_e transitions p_nu_e to nu_et is positively defined at every values of theta and beta while at any arbitrarily small deviation from this condition it becomes negative in order to make this expression for probability transitions positively defined it is necessary to put a limitation on angle mixing beta at fixed value of theta 3245o ie the value for beta must be beta le 15o div 17o | [['this', 'work', 'has', 'shown', 'that', 'at', 'strict', 'fulfilment', 'of', 'condition', 'delta', 'm2_1', '3', 'delta', 'm2_1', '2', 'delta', 'm2_2', '3', 'the', 'expression', 'for', 'probability', 'of', 'nu_e', 'to', 'nu_e', 'transitions', 'p_nu_e', 'to', 'nu_et', 'is', 'positively', 'defined', 'at', 'every', 'values', 'of', 'theta', 'and', 'beta', 'while', 'at', 'any', 'arbitrarily', 'small', 'deviation', 'from', 'this', 'condition', 'it', 'becomes', 'negative', 'in', 'order', 'to', 'make', 'this', 'expression', 'for', 'probability', 'transitions', 'positively', 'defined', 'it', 'is', 'necessary', 'to', 'put', 'a', 'limitation', 'on', 'angle', 'mixing', 'beta', 'at', 'fixed', 'value', 'of', 'theta', '3245o', 'ie', 'the', 'value', 'for', 'beta', 'must', 'be', 'beta', 'le', '15o', 'div', '17o']] | [-0.11659697194764805, 0.22862769737322297, -0.006119264199191498, 0.0750729614804085, -0.0030514436955046322, -0.21526462025423015, 0.09852850520207236, 0.3302212877612975, -0.23370146312129994, -0.28940595361507604, 0.04090607264467205, -0.30118405086298783, -0.06536631921513213, 0.1494309443152613, -0.009802716871490702, 0.025252722448365402, 0.0016153386897510952, 0.0849399628635082, -0.09657528255807443, -0.1585017902362678, 0.2964486814310981, 0.04846732021412915, 0.18046638136729598, 0.10127147680355443, 0.07560372875692943, -0.0500460051258819, 0.03653114380625387, -0.02383217111022936, -0.2195399387423499, 0.010446902126487759, 0.2390850383788347, 0.10356457499373291, 0.23340100828144286, -0.2696006010425562, -0.10905457872690426, 0.1847455313687937, 0.12140119339391175, -0.016757543304831618, 0.04961992618757197, -0.24239045042130683, 0.14166031774754326, -0.12415083014768445, -0.1839541431995005, -0.011563710563091769, 0.12295224081414441, -0.03752965407717663, -0.41299405739539197, 0.07757473079901603, 0.023886146975888145, 0.03912350424668855, 0.012093568996836742, -0.21223255931917165, 0.009337523931430445, 0.10879129454390042, 0.08084708220946292, 0.12477322141122486, 0.05279418966254323, -0.12539770156791846, 0.015473132394254208, 0.3449496672385269, -0.051405650394089106, -0.22507893381019434, 0.058004386690703943, -0.24387033259910013, -0.16588056086976494, 0.17572213052254584, 0.08500402640137407, 0.09701200561184022, -0.07684230244615012, 0.12193403529171418, 0.016880739832090007, 0.19311552639119328, 0.1773234167550173, -0.03552510123182502, 0.1521692901228865, 0.10433215775216619, 0.14592842041036216, -0.0060705300433457725, -0.1092855361626587, -0.0055076589471557075, -0.33831245344546107, -0.14039013180881738, -0.12081698346883059, 0.1410621986207035, -0.06798466789623489, -0.12208094875839176, 0.29723655343469646, 0.0535024431353021, 0.20460505303409365, 0.0998050196096301, 0.2113332103110022, 0.1534948281594552, 0.01081844288855791, 0.038049119726444286, 0.20810287769159508, 0.13084609815850853, 0.09564425041074477, -0.21701520788742024, 0.114274761846496, 0.04522389327175915] |
707.4428 | Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by
their Reduced Density Matrices | The generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their
local unitary equivalents are the only states of n qubits that are not uniquely
determined among pure states by their reduced density matrices of n-1 qubits.
Thus, among pure states, the generalized GHZ states are the only ones
containing information at the n-party level. We point out a connection between
local unitary stabilizer subgroups and the property of being determined by
reduced density matrices.
| quant-ph | the generalized nqubit greenbergerhornezeilinger ghz states and their local unitary equivalents are the only states of n qubits that are not uniquely determined among pure states by their reduced density matrices of n1 qubits thus among pure states the generalized ghz states are the only ones containing information at the nparty level we point out a connection between local unitary stabilizer subgroups and the property of being determined by reduced density matrices | [['the', 'generalized', 'nqubit', 'greenbergerhornezeilinger', 'ghz', 'states', 'and', 'their', 'local', 'unitary', 'equivalents', 'are', 'the', 'only', 'states', 'of', 'n', 'qubits', 'that', 'are', 'not', 'uniquely', 'determined', 'among', 'pure', 'states', 'by', 'their', 'reduced', 'density', 'matrices', 'of', 'n1', 'qubits', 'thus', 'among', 'pure', 'states', 'the', 'generalized', 'ghz', 'states', 'are', 'the', 'only', 'ones', 'containing', 'information', 'at', 'the', 'nparty', 'level', 'we', 'point', 'out', 'a', 'connection', 'between', 'local', 'unitary', 'stabilizer', 'subgroups', 'and', 'the', 'property', 'of', 'being', 'determined', 'by', 'reduced', 'density', 'matrices']] | [-0.15369645978272375, 0.26823382959183717, -0.020528324148876384, 0.03894595701583765, 0.07783182485016166, -0.22028666884095097, 0.11965764907654375, 0.33522076739205253, -0.2482651400172876, -0.2850648293711452, 0.07349043450085446, -0.2881200174645831, -0.060712613207417436, 0.09793339200162639, 0.022619113882279232, 0.062628735781699, 0.04461555029006882, 0.039655836971683636, -0.16495427175929459, -0.2642650014669117, 0.3408388007277002, 0.011343941774814285, 0.3116645528934896, -0.05055125701862077, 0.07915348676033318, -0.025862354565308325, 0.00656320906758386, -0.04311832671131318, -0.02049519870959355, 0.09832925394018982, 0.3196347546763718, 0.1291929585277103, 0.17970481953428438, -0.423415881064203, -0.14628856538264598, 0.150443884350049, 0.04412336877754165, 0.12802000977616343, 0.07616727886488661, -0.37391891941014266, 0.09191271078695233, -0.16956450735192952, -0.15270998643245548, -0.09248145042349482, 0.0486806637297074, -0.050479736955215536, -0.20841254118648875, 0.12526140074866512, 0.053539413027465343, 0.030126520522268645, 0.005750194482970983, -0.13205212449732548, -0.1076608627400775, 0.14638873515003878, -0.13716630668689808, -0.07768900579887689, 0.16714686639736304, -0.10951357106548837, -0.14132431725900257, 0.2877376467222348, -0.010190640184898965, -0.24552204619895848, 0.17815960393636487, -0.12547562104494622, -0.13456234846186513, 0.07386883669015434, 0.05044992734393519, 0.09248248044039226, -0.12178568122908473, 0.11850393911299761, -0.07861676014403605, 0.18705282185409386, 0.10561053817703699, 0.15894058681119028, 0.17093061048459882, -0.059981490886356265, 0.12035642525491615, 0.1436496381001133, 0.022013047334945038, -0.11049543808460133, -0.31369619463415194, -0.1606775062520885, -0.26381271057632855, 0.12309842554471591, -0.06519485572829985, -0.07965468946915483, 0.44608942284766173, -0.008240209320016826, 0.15321233825266567, 0.043313333725867174, 0.17439445598413134, 0.10761568481878687, 0.07551704479717752, 0.1591774061994834, 0.21146154992877403, 0.2730557496672393, -0.0782119905278604, -0.22518781351391226, 0.032403561448316194, 0.04491843884008833] |
707.4429 | Momentum dependence of the electron-phonon coupling and self-energy
effects in YBa_2Cu_3O_7 within the local density approximation | Using the local density approximation (LDA) and a realistic phonon spectrum
we determine the momentum and frequency dependence of $\alpha^2F({\bf
k},\omega)$ in YBa$_2$Cu$_3$O$_7$ for the bonding, antibonding, and chain band.
The resulting self-energy $\Sigma$ is rather small near the Fermi surface. For
instance, for the antibonding band the maximum of $Re \Sigma$ as a function of
frequency is about 7 meV at the nodal point in the normal state and the ratio
of bare and renormalized Fermi velocities 1.18. These values are a factor 3-5
too small compared to the experiment showing that only a small part of $\Sigma$
can be attributed to phonons. Furthermore, the frequency dependence of the
renormalization factor $Z({\bf k},\omega)$ is smooth and has no anomalies at
the observed kink frequencies which means that phonons cannot produce
well-pronounced kinks in stoichiometric YBa$_2$Cu$_3$O$_7$, at least, within
the LDA.
| cond-mat.supr-con cond-mat.str-el | using the local density approximation lda and a realistic phonon spectrum we determine the momentum and frequency dependence of alpha2fbf komega in yba_2cu_3o_7 for the bonding antibonding and chain band the resulting selfenergy sigma is rather small near the fermi surface for instance for the antibonding band the maximum of re sigma as a function of frequency is about 7 mev at the nodal point in the normal state and the ratio of bare and renormalized fermi velocities 118 these values are a factor 35 too small compared to the experiment showing that only a small part of sigma can be attributed to phonons furthermore the frequency dependence of the renormalization factor zbf komega is smooth and has no anomalies at the observed kink frequencies which means that phonons cannot produce wellpronounced kinks in stoichiometric yba_2cu_3o_7 at least within the lda | [['using', 'the', 'local', 'density', 'approximation', 'lda', 'and', 'a', 'realistic', 'phonon', 'spectrum', 'we', 'determine', 'the', 'momentum', 'and', 'frequency', 'dependence', 'of', 'alpha2fbf', 'komega', 'in', 'yba_2cu_3o_7', 'for', 'the', 'bonding', 'antibonding', 'and', 'chain', 'band', 'the', 'resulting', 'selfenergy', 'sigma', 'is', 'rather', 'small', 'near', 'the', 'fermi', 'surface', 'for', 'instance', 'for', 'the', 'antibonding', 'band', 'the', 'maximum', 'of', 're', 'sigma', 'as', 'a', 'function', 'of', 'frequency', 'is', 'about', '7', 'mev', 'at', 'the', 'nodal', 'point', 'in', 'the', 'normal', 'state', 'and', 'the', 'ratio', 'of', 'bare', 'and', 'renormalized', 'fermi', 'velocities', '118', 'these', 'values', 'are', 'a', 'factor', '35', 'too', 'small', 'compared', 'to', 'the', 'experiment', 'showing', 'that', 'only', 'a', 'small', 'part', 'of', 'sigma', 'can', 'be', 'attributed', 'to', 'phonons', 'furthermore', 'the', 'frequency', 'dependence', 'of', 'the', 'renormalization', 'factor', 'zbf', 'komega', 'is', 'smooth', 'and', 'has', 'no', 'anomalies', 'at', 'the', 'observed', 'kink', 'frequencies', 'which', 'means', 'that', 'phonons', 'can', 'not', 'produce', 'wellpronounced', 'kinks', 'in', 'stoichiometric', 'yba_2cu_3o_7', 'at', 'least', 'within', 'the', 'lda']] | [-0.14398402978062583, 0.16833871251619453, -0.061736559036273696, 0.07181075544192304, -0.047436293349345376, -0.1148572888700886, 0.11824603888027846, 0.36955410707494285, -0.25179058603995236, -0.2849893519185906, 0.012715842823352638, -0.33154576169062694, -0.07415450049617084, 0.17906645948194455, 0.07049384209697286, -0.007801856826524356, 0.010068726316358604, 0.026727836162961545, -0.10419819033407468, -0.15541810578673232, 0.2846654217511891, 0.0706957908106162, 0.2955819766288161, 0.09142400718876986, 0.04016535993374831, -0.024837389274612598, 0.07920582695197023, 0.030118552921670125, -0.11893271403405765, 0.058146880646913264, 0.28613503696892334, -0.07231770742417096, 0.22074702947486377, -0.3687596644889167, -0.19612883779852724, 0.035981398903110876, 0.1269296882963072, 0.11007687635472084, 0.03535483016447554, -0.22651489962764243, 0.0929851912999037, -0.1317275957541263, -0.14250606799280233, -0.053512828256142266, 0.022026386118579842, -0.020440052157756707, -0.21774729424162853, 0.1657572507045846, 0.018354173033029265, 0.07310711734941401, -0.08425599837044902, -0.18253286358246462, -0.09926523215712067, 0.042122382564958954, 0.047149083806624546, 0.06447821922917316, 0.13607032724275545, -0.10388567837628912, -0.01834733071175556, 0.3877506359936075, -0.11437163616246576, -0.12949761311219782, 0.16148809047666848, -0.1978333177480926, -0.05088162109427524, 0.20899138166337994, 0.10501113124125709, 0.04496696478429627, -0.10315572795481256, 0.09054340687431792, -0.01657586835129913, 0.2134390314588908, 0.11458046832088883, 0.028587853403081655, 0.2027230480832794, 0.1441686167629396, 0.052229481808682705, 0.055007259588497066, -0.18920135359339257, -0.00892537858020118, -0.27967246177982774, -0.11377934237933017, -0.21911402380817194, 0.04672393198333539, -0.09006060738011647, -0.16470645495578118, 0.4273711305065411, 0.05893480999487542, 0.22964656496988545, 0.010661788700075807, 0.2143711445998427, 0.18587652192507204, 0.09764365184101019, 0.11500063260888403, 0.2657844900609331, 0.1295086731093916, 0.05429756222045089, -0.27643875986938726, 0.024657186213220265, 0.0026837085218479237] |
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