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706.4314
|
Domain growth morphology in curvature driven two dimensional coarsening
|
We study the distribution of domain areas, areas enclosed by domain
boundaries (''hulls''), and perimeters for curvature-driven two-dimensional
coarsening, employing a combination of exact analysis and numerical studies,
for various initial conditions. We show that the number of hulls per unit area,
$n_h(A,t) dA$, with enclosed area in the interval $(A,A+dA)$, is described, for
a disordered initial condition, by the scaling function $n_h(A,t) = 2c_h/(A +
\lambda_h t)^2$, where $c_h=1/8\pi\sqrt{3} \approx 0.023$ is a universal
constant and $\lambda_h$ is a material parameter. For a critical initial
condition, the same form is obtained, with the same $\lambda_h$ but with $c_h$
replaced by $c_h/2$. For the distribution of domain areas, we argue that the
corresponding scaling function has, for random initial conditions, the form
$n_d(A,t) = 2c_d (\lambda_d t)^{\tau'-2}/(A + \lambda_d t)^{\tau'}$, where
$c_d=c_h + {\cal O}(c_h^2)$, $\lambda_d=\lambda_h + {\cal O}(c_h)$, and $\tau'
= 187/91 \approx 2.055$. For critical initial conditions, one replaces $c_d$ by
$c_d/2$ (possibly with corrections of ${\cal O}(c_h^2)$) and the exponent is
$\tau = 379/187 \approx 2.027$. These results are extended to describe the
number density of the length of hulls and domain walls surrounding connected
clusters of aligned spins. These predictions are supported by extensive
numerical simulations. We also study numerically the geometric properties of
the boundaries and areas.
|
cond-mat.stat-mech
|
we study the distribution of domain areas areas enclosed by domain boundaries hulls and perimeters for curvaturedriven twodimensional coarsening employing a combination of exact analysis and numerical studies for various initial conditions we show that the number of hulls per unit area n_hat da with enclosed area in the interval aada is described for a disordered initial condition by the scaling function n_hat 2c_ha lambda_h t2 where c_h18pisqrt3 approx 0023 is a universal constant and lambda_h is a material parameter for a critical initial condition the same form is obtained with the same lambda_h but with c_h replaced by c_h2 for the distribution of domain areas we argue that the corresponding scaling function has for random initial conditions the form n_dat 2c_d lambda_d ttau2a lambda_d ttau where c_dc_h cal oc_h2 lambda_dlambda_h cal oc_h and tau 18791 approx 2055 for critical initial conditions one replaces c_d by c_d2 possibly with corrections of cal oc_h2 and the exponent is tau 379187 approx 2027 these results are extended to describe the number density of the length of hulls and domain walls surrounding connected clusters of aligned spins these predictions are supported by extensive numerical simulations we also study numerically the geometric properties of the boundaries and areas
|
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|
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|
706.4315
|
Cutoff Resolvent Estimates and the Semilinear Schr\"odinger Equation
|
This paper shows how abstract resolvent estimates imply local smoothing for
solutions to the Schr\"odinger equation. If the resolvent estimate has a loss
when compared to the optimal, non-trapping estimate, there is a corresponding
loss in regularity in the local smoothing estimate. As an application, we apply
well-known techniques to obtain well-posedness results for the semi-linear
Schr\"odinger equation.
|
math.AP
|
this paper shows how abstract resolvent estimates imply local smoothing for solutions to the schrodinger equation if the resolvent estimate has a loss when compared to the optimal nontrapping estimate there is a corresponding loss in regularity in the local smoothing estimate as an application we apply wellknown techniques to obtain wellposedness results for the semilinear schrodinger equation
|
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|
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|
706.4316
|
On Combining Lensing Shear Information from Multiple Filters
|
We consider the possible gain in the measurement of lensing shear from
imaging data in multiple filters. Galaxy shapes may differ significantly across
filters, so that the same galaxy offers multiple samples of the shear. On the
other extreme, if galaxy shapes are identical in different filters, one can
combine them to improve the signal-to-noise and thus increase the effective
number density of faint, high redshift galaxies. We use the GOODS dataset to
test these scenarios by calculating the covariance matrix of galaxy
ellipticities in four visual filters (B,V,i,z). We find that galaxy shapes are
highly correlated, and estimate the gain in galaxy number density by combining
their shapes.
|
astro-ph
|
we consider the possible gain in the measurement of lensing shear from imaging data in multiple filters galaxy shapes may differ significantly across filters so that the same galaxy offers multiple samples of the shear on the other extreme if galaxy shapes are identical in different filters one can combine them to improve the signaltonoise and thus increase the effective number density of faint high redshift galaxies we use the goods dataset to test these scenarios by calculating the covariance matrix of galaxy ellipticities in four visual filters bviz we find that galaxy shapes are highly correlated and estimate the gain in galaxy number density by combining their shapes
|
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|
706.4317
|
On the Effects of Dissipative Turbulence on the Narrow Emission-Line
Ratios in Seyfert Galaxies
|
We present a photoionization model study of the effects of micro-turbulence
and dissipative heating on emission lines for number and column densities,
elemental abundances, and ionizations typical for the narrow emission line
regions (NLRs) of Seyfert galaxies. Earlier studies of NLR spectra generally
found good agreement between the observations and the model predictions for
most strong emission lines, such as [O III] $\lambda$5007, [O II]
$\lambda$3727, [N II] $\lambda$6583, [Ne III] $\lambda$3869, and the H and He
recombination lines. Nevertheless, the strengths of lines from species with
ionization potentials greater than that of He$^{+}$(54.4 eV), e.g. N$^{+4}$ and
Ne$^{+4}$, were often under-predicted. Among the explanations suggested for
these discrepancies were (selectively) enhanced elemental abundances and
contributions from shock heated gas. Interestingly, the NLR lines have widths
of several 100 km s$^{-1}$, well in excess of the thermal broadening. If this
is due to micro-turbulence, and the turbulence dissipates within the
emission-line gas, the gas can be heated in excess of that due to
photoionization. We show that the combined effects of turbulence and
dissipative heating can strongly enhance N V $\lambda$1240 (relative to He II
$\lambda$1640), while the heating alone can boost the strength of [Ne V]
$\lambda$3426. We suggest that this effect is present in the NLR, particularly
within $\sim$ 100 pc of the central engine. Finally, since micro-turbulence
would make clouds robust against instabilities generated during acceleration,
it is not likely to be a coincidence that the radially outflowing emission-line
gas is turbulent.
|
astro-ph
|
we present a photoionization model study of the effects of microturbulence and dissipative heating on emission lines for number and column densities elemental abundances and ionizations typical for the narrow emission line regions nlrs of seyfert galaxies earlier studies of nlr spectra generally found good agreement between the observations and the model predictions for most strong emission lines such as o iii lambda5007 o ii lambda3727 n ii lambda6583 ne iii lambda3869 and the h and he recombination lines nevertheless the strengths of lines from species with ionization potentials greater than that of he544 ev eg n4 and ne4 were often underpredicted among the explanations suggested for these discrepancies were selectively enhanced elemental abundances and contributions from shock heated gas interestingly the nlr lines have widths of several 100 km s1 well in excess of the thermal broadening if this is due to microturbulence and the turbulence dissipates within the emissionline gas the gas can be heated in excess of that due to photoionization we show that the combined effects of turbulence and dissipative heating can strongly enhance n v lambda1240 relative to he ii lambda1640 while the heating alone can boost the strength of ne v lambda3426 we suggest that this effect is present in the nlr particularly within sim 100 pc of the central engine finally since microturbulence would make clouds robust against instabilities generated during acceleration it is not likely to be a coincidence that the radially outflowing emissionline gas is turbulent
|
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|
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|
706.4318
|
CDF Hot Topics
|
We present recent CDF results based on approximately 1 fb$^{-1}$ of $p\bar p$
collisions at $\sqrt s = 1.96$ TeV delivered at Fermilab Tevatron. Results
shown include the observation of the $B_s$ oscillation frequency, the first
observation of bottom baryon $\Sigma_b^{(*)\pm}$ states, updates on $B$ hadrons
lifetimes, and searches for rare decays in the $b\to s\mu^+\mu^-$ transition
and in charmless two-body B decays.
|
hep-ex
|
we present recent cdf results based on approximately 1 fb1 of pbar p collisions at sqrt s 196 tev delivered at fermilab tevatron results shown include the observation of the b_s oscillation frequency the first observation of bottom baryon sigma_bpm states updates on b hadrons lifetimes and searches for rare decays in the bto smumu transition and in charmless twobody b decays
|
[['we', 'present', 'recent', 'cdf', 'results', 'based', 'on', 'approximately', '1', 'fb1', 'of', 'pbar', 'p', 'collisions', 'at', 'sqrt', 's', '196', 'tev', 'delivered', 'at', 'fermilab', 'tevatron', 'results', 'shown', 'include', 'the', 'observation', 'of', 'the', 'b_s', 'oscillation', 'frequency', 'the', 'first', 'observation', 'of', 'bottom', 'baryon', 'sigma_bpm', 'states', 'updates', 'on', 'b', 'hadrons', 'lifetimes', 'and', 'searches', 'for', 'rare', 'decays', 'in', 'the', 'bto', 'smumu', 'transition', 'and', 'in', 'charmless', 'twobody', 'b', 'decays']]
|
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|
706.4319
|
Non-Fermi-liquid behavior in nearly ferromagnetic metallic SrIrO3 single
crystals
|
We report transport and thermodynamic properties of single-crystal SrIrO3 as
a function of temperature T and applied magnetic field H. We find that SrIrO3
is a non-Fermi-liquid metal near a ferromagnetic instability, as characterized
by the following properties: (1) small ordered moment but no evidence for
long-range order down to 1.7 K; (2) strongly enhanced magnetic susceptibility
that diverges as T or T1/2 at low temperatures, depending on the applied field;
(3) heat capacity C(T,H) ~ -Tlog T that is readily amplified by low applied
fields; (4) a strikingly large Wilson ratio at T< 4K; and (5) a T3/2-dependence
of electrical resistivity over the range 1.7 < T < 120 K. A phase diagram based
on the data implies SrIrO3 is a rare example of a stoichiometric oxide compound
that exhibits non-Fermi-liquid behavior near a quantum critical point (T = 0
and H = 0.23 T).
|
cond-mat.str-el
|
we report transport and thermodynamic properties of singlecrystal sriro3 as a function of temperature t and applied magnetic field h we find that sriro3 is a nonfermiliquid metal near a ferromagnetic instability as characterized by the following properties 1 small ordered moment but no evidence for longrange order down to 17 k 2 strongly enhanced magnetic susceptibility that diverges as t or t12 at low temperatures depending on the applied field 3 heat capacity cth tlog t that is readily amplified by low applied fields 4 a strikingly large wilson ratio at t 4k and 5 a t32dependence of electrical resistivity over the range 17 t 120 k a phase diagram based on the data implies sriro3 is a rare example of a stoichiometric oxide compound that exhibits nonfermiliquid behavior near a quantum critical point t 0 and h 023 t
|
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|
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|
706.432
|
Realization of Levy flights as continuous processes
|
On the basis of multivariate Langevin processes we present a realization of
Levy flights as a continuous process. For the simple case of a particle moving
under the influence of friction and a velocity dependent stochastic force we
explicitly derive the generalized Langevin equation and the corresponding
generalized Fokker-Planck equation describing Levy flights. Our procedure is
similar to the treatment of the Kramers-Fokker Planck equation in the
Smoluchowski limit. The proposed approach forms a feasible way of tackling Levy
flights in inhomogeneous media or systems with boundaries what is up to now a
challenging problem.
|
cond-mat.stat-mech cond-mat.mtrl-sci
|
on the basis of multivariate langevin processes we present a realization of levy flights as a continuous process for the simple case of a particle moving under the influence of friction and a velocity dependent stochastic force we explicitly derive the generalized langevin equation and the corresponding generalized fokkerplanck equation describing levy flights our procedure is similar to the treatment of the kramersfokker planck equation in the smoluchowski limit the proposed approach forms a feasible way of tackling levy flights in inhomogeneous media or systems with boundaries what is up to now a challenging problem
|
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|
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|
706.4321
|
An optical surface resonance may render photonic crystals ineffective
|
In this work we identify and study the presence of extremely intense surface
resonances that frustrate the coupling of photons into a photonic crystal over
crucial energy ranges. The practical utility of photonic crystals demands the
capability to exchange photons with the external medium, therefore, it is
essential to understand the cause of these surface resonances and a route to
their elimination. We demonstrate that by modifying the surface geometry it is
possible to tune the optical response or eliminate the resonances to enable
full exploitation of the photonic crystal.
|
cond-mat.mtrl-sci cond-mat.soft
|
in this work we identify and study the presence of extremely intense surface resonances that frustrate the coupling of photons into a photonic crystal over crucial energy ranges the practical utility of photonic crystals demands the capability to exchange photons with the external medium therefore it is essential to understand the cause of these surface resonances and a route to their elimination we demonstrate that by modifying the surface geometry it is possible to tune the optical response or eliminate the resonances to enable full exploitation of the photonic crystal
|
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|
[-0.13112700811276834, 0.1584090453469091, -0.061482069015295966, 0.01868213169509545, -0.10604660907346342, -0.12011713985767629, 0.0993069528007052, 0.43171069729659295, -0.27558668327724767, -0.34372367122107084, 0.03588864198342587, -0.27227573595527144, -0.14262881094020688, 0.17889945943477667, 0.013417928500307931, 0.03892405609496766, 0.014800793372301592, -0.05087335123163131, 9.539338384961916e-05, -0.19021278978325426, 0.28995310771279037, 0.09635027324159941, 0.30476294034678075, 0.11194419375290939, 0.08284882495904135, 0.05091136529162112, 0.019646152212387986, -0.049181782878521416, -0.11952255632964402, 0.14595157409914666, 0.2629843794947697, -0.0032979537008537185, 0.2595410101891806, -0.4552859531922473, -0.23555174700838202, 0.10581311912844993, 0.1365768597047362, 0.1575286097928054, -0.06541058493053747, -0.2576670679845847, 0.06059968174538678, -0.11344498882277144, -0.17943567221259904, -0.10631895069446828, -0.033252714657121235, -0.014672179367496735, -0.20664115418330767, -0.019130504224449396, 0.05201083477586508, 0.0016130946990516452, -0.051728211283787254, -0.006922403609173166, -0.05696259699761867, 0.10940504392039858, 0.014541519593654408, 0.0024932115726793804, 0.16561864935016882, -0.14764564337157127, -0.0920461455385925, 0.41559461024072436, -0.022571335153447256, -0.1635290428219984, 0.1977061553237339, -0.14390115192703282, -0.018520028402821884, 0.18660910479310486, 0.2225450155415779, 0.057154823063562316, -0.1094921610900201, 0.029667789570521564, 0.03660833136980525, 0.1856234560875843, 0.07747141802683473, 0.14494587532762024, 0.24749203201693792, 0.16671242324842347, 0.03611436147863666, 0.15417847524319464, -0.09202013183902535, -0.03737721249215408, -0.25994549181519283, -0.19517354622690214, -0.16578639232967463, 0.031648357833425206, -0.043353535777876255, -0.17285420809768967, 0.42078039908471204, 0.1740188436065283, 0.1542075450389853, -0.061940746009349824, 0.29243829052688347, 0.08215759408970674, 0.1320846216675515, 0.006710529317044549, 0.30604143432444997, 0.15890532083964595, 0.07376342167844996, -0.29213589596458606, 0.042059183798523414, -0.06901937876051913]
|
706.4322
|
Measurement of the UHECR spectrum above 10 EeV at the Pierre Auger
Observatory using showers with zenith angles greater than 60 degrees
|
We report a measurement of the cosmic ray energy spectrum obtained using the
inclined events detected with the Pierre Auger Observatory. Showers with zenith
angles between 60 and 80 degrees recorded in the period between 1 January 2004
and 28 February 2007 are analysed. Showers are first reconstructed in arrival
direction and then fitted to density maps of the muon numbers obtained from 10
EeV simulated proton showers for different arrival directions, in order to
obtain the core position and an overall normalisation factor N19 which is used
as an energy estimator. The parameter N19 is shown to be correlated with the
shower energy measured with the fluorescence technique for a sub-sample of good
quality hybrid showers. This correlation, measured with hybrid events, is then
used to determine the energy of all the showers.
|
astro-ph
|
we report a measurement of the cosmic ray energy spectrum obtained using the inclined events detected with the pierre auger observatory showers with zenith angles between 60 and 80 degrees recorded in the period between 1 january 2004 and 28 february 2007 are analysed showers are first reconstructed in arrival direction and then fitted to density maps of the muon numbers obtained from 10 eev simulated proton showers for different arrival directions in order to obtain the core position and an overall normalisation factor n19 which is used as an energy estimator the parameter n19 is shown to be correlated with the shower energy measured with the fluorescence technique for a subsample of good quality hybrid showers this correlation measured with hybrid events is then used to determine the energy of all the showers
|
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|
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|
706.4323
|
Theory of Finite or Infinite Trees Revisited
|
We present in this paper a first-order axiomatization of an extended theory
$T$ of finite or infinite trees, built on a signature containing an infinite
set of function symbols and a relation $\fini(t)$ which enables to distinguish
between finite or infinite trees. We show that $T$ has at least one model and
prove its completeness by giving not only a decision procedure, but a full
first-order constraint solver which gives clear and explicit solutions for any
first-order constraint satisfaction problem in $T$. The solver is given in the
form of 16 rewriting rules which transform any first-order constraint $\phi$
into an equivalent disjunction $\phi$ of simple formulas such that $\phi$ is
either the formula $\true$ or the formula $\false$ or a formula having at least
one free variable, being equivalent neither to $\true$ nor to $\false$ and
where the solutions of the free variables are expressed in a clear and explicit
way. The correctness of our rules implies the completeness of $T$. We also
describe an implementation of our algorithm in CHR (Constraint Handling Rules)
and compare the performance with an implementation in C++ and that of a recent
decision procedure for decomposable theories.
|
cs.LO cs.AI
|
we present in this paper a firstorder axiomatization of an extended theory t of finite or infinite trees built on a signature containing an infinite set of function symbols and a relation finit which enables to distinguish between finite or infinite trees we show that t has at least one model and prove its completeness by giving not only a decision procedure but a full firstorder constraint solver which gives clear and explicit solutions for any firstorder constraint satisfaction problem in t the solver is given in the form of 16 rewriting rules which transform any firstorder constraint phi into an equivalent disjunction phi of simple formulas such that phi is either the formula true or the formula false or a formula having at least one free variable being equivalent neither to true nor to false and where the solutions of the free variables are expressed in a clear and explicit way the correctness of our rules implies the completeness of t we also describe an implementation of our algorithm in chr constraint handling rules and compare the performance with an implementation in c and that of a recent decision procedure for decomposable theories
|
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|
[-0.12451077995392364, 0.06568403287835653, -0.11500915282265974, 0.08066406331466598, -0.11586706622725672, -0.18219655108218288, 0.1158125820374261, 0.346213238169029, -0.26386975728842754, -0.29112071115909616, 0.10744459050890888, -0.2466745177148769, -0.11374342315613142, 0.16262615310061973, -0.0413548399261024, 0.01913564615379874, 0.042056014500751394, 0.11790925391993143, -0.10882584964301573, -0.2569972925332081, 0.2778281713546365, -0.010963529994991159, 0.20903072565663702, 0.06021294509388815, 0.16354667640489, 0.03348962070150156, -0.02088458746233762, 0.0585260255131967, -0.10982070771860136, 0.07951674451074356, 0.2439072851641731, 0.21059584609532025, 0.2668690385461008, -0.38143933904260746, -0.12432046925620094, 0.1325859310614534, 0.11572570178339286, 0.08957368566912786, -0.006524197346472948, -0.23518756847983044, 0.12099103059214322, -0.17769579845691738, -0.11101116832234738, -0.07623187885885102, 0.03543242682833128, -0.012861031228242142, -0.2963185712497276, 0.02646321853984104, 0.1564580362816124, 0.06286006606873994, -0.05683798062520999, -0.09410974835021509, -0.0014097407337162315, 0.06039839100642757, 0.009276638803352152, 0.05369740204374098, 0.03474982579870854, -0.11647005820975016, -0.1469919489071719, 0.36468976268959785, -0.06896371333835734, -0.2335047601369919, 0.17725074586550188, -0.09357301192358136, -0.15541834778084848, 0.14095982680956162, 0.10927457925067356, 0.16509280178980623, -0.14586403960159405, 0.1324788734532164, -0.04697344703913468, 0.2018105315431769, 0.08917393325707378, 0.001973693555828975, 0.17920211359129862, 0.1026591733870111, 0.09019352972520747, 0.1737481244583976, 0.02935095912525961, -0.08002521836686242, -0.38327147740233747, -0.181061447020789, -0.11530516826345011, 0.019502181005697346, -0.1019682582399785, -0.2449045194303279, 0.309727253492468, 0.1219084606158494, 0.16552726990574068, 0.1312476969752316, 0.2917989005884783, 0.1880249305166952, 0.07907843696245431, 0.07097146914152361, 0.12799456103709694, 0.13657114225550715, 0.030498402552688833, -0.17684367631919143, 0.08320850086183687, 0.10567731995598795]
|
706.4324
|
Conformal coordinates of a constant density star
|
It is well known that the interior of a constant density spherical star is
conformally flat. In this paper we obtain the coordinate system in which the
conformal flatness of the metric manifests itself. In a similar way, we also
construct such coordinates for Robertson Walker metric.
|
gr-qc
|
it is well known that the interior of a constant density spherical star is conformally flat in this paper we obtain the coordinate system in which the conformal flatness of the metric manifests itself in a similar way we also construct such coordinates for robertson walker metric
|
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|
[-0.1358740516403254, 0.07573231278938498, -0.12148724545903028, 0.0650121046705766, -0.10981937184771325, -0.10347725583755589, -0.06274711088762876, 0.3676630825279875, -0.23636932579919379, -0.2446536906534172, 0.08417712675377806, -0.23160054864599666, -0.21312247834941175, 0.10633552034801626, -0.12023291711205061, 0.016098548678007533, -0.008506373418098751, 0.10979022932773892, -0.09247377971583541, -0.22768614793870043, 0.36478074362620394, 0.07820977385532349, 0.2515493877073552, 0.005973660912206198, 0.1321417684964043, -0.03286895245571244, -0.009435667596915935, 0.08856146513147557, -0.16391859634143444, 0.043788602536029, 0.191935400379465, 0.12317921867237445, 0.18163089188648032, -0.3353969456548703, -0.2207048246438833, 0.08916931260783384, 0.13993229491120956, 0.14822712089579076, -0.06519828135880859, -0.27529419605877803, 0.039609044037283735, -0.13797815375901917, -0.22648437725419693, -0.046037265357184914, 0.034860193858200564, -0.05100823463277614, -0.20505411964543957, 0.10107391400379129, 0.1326566219671649, -0.02644638110824088, -0.08352802757253038, 0.0048148020869120955, -0.023071672970508324, 0.09394766081203805, 0.031026235504194775, 0.12883738099419056, 0.10359577832624633, -0.060986781720706124, -0.023826940975924756, 0.39965252289944825, -0.10580606910677508, -0.2697555656208003, 0.13920250433952885, -0.17770190085185336, -0.13881114580014603, 0.010374851267230003, 0.13084617514718086, 0.18493009017820053, -0.1607431208199643, 0.18803140158428155, -0.08545908354906405, 0.10028186369132489, 0.13667503411465504, 0.013483744540667914, 0.19894704888475703, 0.10743399120946513, 0.15086440621142058, 0.16138781254437376, -0.04824926949878956, -0.09949482322492181, -0.37383365266500634, -0.22793844437345545, -0.19231489490955433, 0.14032210334342846, -0.16153380889668467, -0.2405446376255218, 0.39380175820205043, 0.05298784784718783, 0.2340037223704635, 0.03694824963817967, 0.2687347301460327, 0.09859758318263165, 0.0657520294635299, 0.16096653000629962, 0.2728128173249833, 0.12812672561391236, 0.08508008554766074, -0.16219634416097023, -0.008045952073595625, 0.09340155099399705]
|
706.4325
|
Disappearance of Squeezed Back-to-Back Correlations - a new signal of
hadron freeze-out from a supercooled Quark Gluon Plasma
|
We briefly discuss four different possible types of transitions from quark to
hadronic matter and their characteristic signatures in terms of correlations.
We also highlight the effects arising from mass modification of hadrons in hot
and dense hadronic matter, as well as their quantum statistical consequences:
the appearance of squeezed quantum states and the associated experimental
signatures, i.e., the back-to-back correlations of particle - anti-particle
pairs. We briefly review the theoretical results of these squeezed quanta,
generated by in-medium modified masses, starting from the first indication of
the existence of surprising particle - anti-particle correlations, and ending
by considering the effects of chiral dynamics on these correlation patterns. A
prerequisite for such a signature is the experimental verification that these
theoretically predicted back-to-back correlation of particle anti-particle
pairs are, in fact, observable in high energy heavy ion reactions. Therefore,
the experimental observation of back-to-back correlations in high energy heavy
ion reactions would be a unique signature, proving the existence of in-medium
mass modification of hadronic states. On the other hand, their disappearance at
some threshold centrality or collision energy would indicate that the hadron
formation mechanism would have qualitatively changed: asymptotic hadrons above
such a threshold are not formed from medium modified hadrons anymore, but
rather by new degrees of freedom characterizing the medium. Furthermore, the
disappearance of the squeezed BBC could also serve as a signature of a sudden,
non-equilibrium hadronization scenario from a supercooled quark-gluon plasma
phase.
|
nucl-th
|
we briefly discuss four different possible types of transitions from quark to hadronic matter and their characteristic signatures in terms of correlations we also highlight the effects arising from mass modification of hadrons in hot and dense hadronic matter as well as their quantum statistical consequences the appearance of squeezed quantum states and the associated experimental signatures ie the backtoback correlations of particle antiparticle pairs we briefly review the theoretical results of these squeezed quanta generated by inmedium modified masses starting from the first indication of the existence of surprising particle antiparticle correlations and ending by considering the effects of chiral dynamics on these correlation patterns a prerequisite for such a signature is the experimental verification that these theoretically predicted backtoback correlation of particle antiparticle pairs are in fact observable in high energy heavy ion reactions therefore the experimental observation of backtoback correlations in high energy heavy ion reactions would be a unique signature proving the existence of inmedium mass modification of hadronic states on the other hand their disappearance at some threshold centrality or collision energy would indicate that the hadron formation mechanism would have qualitatively changed asymptotic hadrons above such a threshold are not formed from medium modified hadrons anymore but rather by new degrees of freedom characterizing the medium furthermore the disappearance of the squeezed bbc could also serve as a signature of a sudden nonequilibrium hadronization scenario from a supercooled quarkgluon plasma phase
|
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|
[-0.10589771757672545, 0.2852007734141301, -0.15463908489946065, 0.14925694837429432, -0.01779994260095343, -0.10759532493087247, 0.02142471587481881, 0.32636780105334734, -0.23316572121254125, -0.29042755895714717, -0.01468185237230623, -0.3220173945367525, -0.03995808079162856, 0.1315385512796423, 0.0537278977373049, 0.059714798583700185, 0.08877911181081055, 0.030121008093362746, -0.07691607369719818, -0.14580045138851186, 0.35112089584316303, 0.07976243854303872, 0.23308237981176955, 0.1825332922137928, 0.05021012545747973, -0.0023471512232478785, -0.0274060883182042, 0.007514164383711788, -0.09349754325532696, 0.009801212533176699, 0.22349968829996814, 0.08571118955459409, 0.1590538530578635, -0.4054940786676379, -0.19676306664861173, 0.1271755596920494, 0.15995675191196773, 0.14290884716774216, -0.10937442285606032, -0.298680290599444, 0.034112428240320854, -0.2118135227228393, -0.16220504308968217, -0.06994954159656218, -0.006869667706783185, 0.02726904294190276, -0.23205218439968892, 0.12693521166824487, 0.0325165374449136, 0.030825195362484906, -0.025787799184914, -0.15978858670031157, -0.045127330533570695, 0.05537634303514307, 0.07150242287363023, -0.013069559627444433, 0.20606935778161203, -0.1853878331962061, -0.1619750725705656, 0.4006739092031926, -0.04520199291274454, -0.12750427241983356, 0.21600795318745863, -0.16839786419813926, -0.13369530775949737, 0.14349227382129506, 0.17703412998200468, 0.06930382732294091, -0.13865924072510835, -0.00763013972291715, -0.03125951294138839, 0.12966142068553804, 0.10321831304131995, 0.16294532457075794, 0.28792032957831515, 0.13805609993746637, -0.029091116849466657, 0.10470364596741372, -0.07752343549570934, -0.10964838084926876, -0.37493173411422515, -0.11765042794519595, -0.16035747709232168, 0.06395228949670419, -0.07079112557237496, -0.1145009639523609, 0.4194439083400658, 0.09888228302858848, 0.23344169830400419, -0.05508909851729178, 0.2733597017702831, 0.054873443391853904, 0.009791685713313614, 0.05068951858628054, 0.29582002773777316, 0.13905613213278478, 0.12809181757043372, -0.28372758142316107, 0.08109571722646554, 0.03163004721385203]
|
706.4326
|
The age grading and the Chen-Ruan cup product
|
We prove that the obstruction bundle used to define the cup-product in
Chen-Ruan cohomology is determined by the so-called `age grading' or
`degree-shifting numbers'. Indeed, the obstruction bundle can be directly
computed using the age grading. We obtain a Kunneth Theorem for Chen-Ruan
cohomology as a direct consequence of an elementary property of the age
grading, and explain how several other results - including associativity of the
cup-product - can be proved in a similar way.
|
math.AT math.AG
|
we prove that the obstruction bundle used to define the cupproduct in chenruan cohomology is determined by the socalled age grading or degreeshifting numbers indeed the obstruction bundle can be directly computed using the age grading we obtain a kunneth theorem for chenruan cohomology as a direct consequence of an elementary property of the age grading and explain how several other results including associativity of the cupproduct can be proved in a similar way
|
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|
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|
706.4327
|
Dynamical structure factor at small q for the XXZ spin-1/2 chain
|
We combine Bethe Ansatz and field theory methods to study the longitudinal
dynamical structure factor S^{zz}(q,omega) for the anisotropic spin-1/2 chain
in the gapless regime. Using bosonization, we derive a low energy effective
model, including the leading irrelevant operators (band curvature terms) which
account for boson decay processes. The coupling constants of the effective
model for finite anisotropy and finite magnetic field are determined exactly by
comparison with corrections to thermodynamic quantities calculated by Bethe
Ansatz. We show that a good approximation for the shape of the on-shell peak of
S^{zz}(q,omega) in the interacting case is obtained by rescaling the result for
free fermions by certain coefficients extracted from the effective Hamiltonian.
In particular, the width of the on-shell peak is argued to scale like delta
omega_{q} ~ q^2 and this prediction is shown to agree with the width of the
two-particle continuum at finite fields calculated from the Bethe Ansatz
equations. An exception to the q^2 scaling is found at finite field and large
anisotropy parameter (near the isotropic point). We also present the
calculation of the high-frequency tail of S^{zz}(q,\omega) in the region delta
omega_{q}<< omega-vq << J using finite-order perturbation theory in the band
curvature terms. Both the width of the on-shell peak and the high-frequency
tail are compared with S^{zz}(q,omega) calculated by Bethe Ansatz for finite
chains using determinant expressions for the form factors and excellent
agreement is obtained. Finally, the accuracy of the form factors is checked
against the exact first moment sum rule and the static structure factor
calculated by Density Matrix Renormalization Group (DMRG).
|
cond-mat.str-el
|
we combine bethe ansatz and field theory methods to study the longitudinal dynamical structure factor szzqomega for the anisotropic spin12 chain in the gapless regime using bosonization we derive a low energy effective model including the leading irrelevant operators band curvature terms which account for boson decay processes the coupling constants of the effective model for finite anisotropy and finite magnetic field are determined exactly by comparison with corrections to thermodynamic quantities calculated by bethe ansatz we show that a good approximation for the shape of the onshell peak of szzqomega in the interacting case is obtained by rescaling the result for free fermions by certain coefficients extracted from the effective hamiltonian in particular the width of the onshell peak is argued to scale like delta omega_q q2 and this prediction is shown to agree with the width of the twoparticle continuum at finite fields calculated from the bethe ansatz equations an exception to the q2 scaling is found at finite field and large anisotropy parameter near the isotropic point we also present the calculation of the highfrequency tail of szzqomega in the region delta omega_q omegavq j using finiteorder perturbation theory in the band curvature terms both the width of the onshell peak and the highfrequency tail are compared with szzqomega calculated by bethe ansatz for finite chains using determinant expressions for the form factors and excellent agreement is obtained finally the accuracy of the form factors is checked against the exact first moment sum rule and the static structure factor calculated by density matrix renormalization group dmrg
|
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|
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|
706.4328
|
QCD factorizations in gamma* gamma* --> rho_L^0 rho_L^0
|
The exclusive reaction of rho meson pair electroproduction in gamma*gamma*
collisions is a nice place to study various dynamics and factorization
properties in the perturbative sector of QCD. At low energy (quarks dominance),
this process can be considered as a way to explore QCD factorizations involving
generalized distribution amplitudes (GDA) and transition distribution
amplitudes (TDA), and, in the Regge limit of QCD (gluons dominance), it seems
to offer a promising probe of the BFKL resummation effects which could be
studied at the next international linear collider (ILC).
|
hep-ph
|
the exclusive reaction of rho meson pair electroproduction in gammagamma collisions is a nice place to study various dynamics and factorization properties in the perturbative sector of qcd at low energy quarks dominance this process can be considered as a way to explore qcd factorizations involving generalized distribution amplitudes gda and transition distribution amplitudes tda and in the regge limit of qcd gluons dominance it seems to offer a promising probe of the bfkl resummation effects which could be studied at the next international linear collider ilc
|
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|
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|
706.4329
|
BF systems on graph cobordisms as topological cosmology
|
A cosmological model connecting the evolution of universe with a sequence of
topology changes described by a collection of specific graph cobordisms, is
constructed. It is shown that an adequate topological field theory (of BF-type)
can be put into relation to each graph cobordism. The explicit expressions for
transition amplitudes (partition functions) are written in these BF-models and
it is shown that the basic topological invariants of the graph cobordisms
(intersection matrices) play the r{\^o}le of coupling constants between the
formal analogues of electric and magnetic fluxes quantized {\`a} la Dirac, but
with the use of Poicar{\'e}--Lefschetz duality. For a specific graph cobordism,
the diagonal elements and eigenvalues of the intersection matrix reproduce the
hierarchy of dimensionless low-energy coupling constants of the fundamental
interactions acting in the real universe.
|
gr-qc
|
a cosmological model connecting the evolution of universe with a sequence of topology changes described by a collection of specific graph cobordisms is constructed it is shown that an adequate topological field theory of bftype can be put into relation to each graph cobordism the explicit expressions for transition amplitudes partition functions are written in these bfmodels and it is shown that the basic topological invariants of the graph cobordisms intersection matrices play the role of coupling constants between the formal analogues of electric and magnetic fluxes quantized a la dirac but with the use of poicarelefschetz duality for a specific graph cobordism the diagonal elements and eigenvalues of the intersection matrix reproduce the hierarchy of dimensionless lowenergy coupling constants of the fundamental interactions acting in the real universe
|
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|
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|
706.433
|
Molecular Outflows and a Mid-Infrared Census of the Massive
Star-Formation Region Associated with IRAS 18507+0121
|
We have observed the central region of the IR-dark cloud filament associated
with IRAS 18507+0121 at millimeter wavelengths in CO(1-0), 13CO(1-0), and
C18O(1-0) line emission and with the Spitzer Space Telescope at mid-IR
wavelengths. Five massive outflows from two cloud cores were discovered. Three
outflows are centered on or near an Ultracompact HII region (G34.4+0.23) while
the remaining two outflows originate from the millimeter core G34.4+0.23 MM.
Modeling of the SEDs of the mid-IR sources identified 31 young stellar objects
in the filament with a combined stellar mass of ~127 +/- 27 Msun. An additional
22 sources were identified as probable cluster members based on the presence of
strong 24 micron emission. The total star formation efficiency in the G34.4
cloud filament is estimated to be ~7% while the massive and intermediate mass
star formation efficiency in the entire cloud filament is estimated to be
roughly 2%. A comparison of the gravitational binding energy with the outflow
kinetic energy suggests that the compact core containing G34.4+0.23 MM is being
destroyed by its molecular outflows whereas the outflows associated with more
massive core surrounding the G34.4 UC HII region are not likely to totally
disrupt the cloud. Additionally, a qualitative evaluation of the region appears
to suggest that stars in this region may have formed in two stages: first lower
mass stars formed and then, a few Myrs later, the more massive stars began to
form.
|
astro-ph
|
we have observed the central region of the irdark cloud filament associated with iras 185070121 at millimeter wavelengths in co10 13co10 and c18o10 line emission and with the spitzer space telescope at midir wavelengths five massive outflows from two cloud cores were discovered three outflows are centered on or near an ultracompact hii region g344023 while the remaining two outflows originate from the millimeter core g344023 mm modeling of the seds of the midir sources identified 31 young stellar objects in the filament with a combined stellar mass of 127 27 msun an additional 22 sources were identified as probable cluster members based on the presence of strong 24 micron emission the total star formation efficiency in the g344 cloud filament is estimated to be 7 while the massive and intermediate mass star formation efficiency in the entire cloud filament is estimated to be roughly 2 a comparison of the gravitational binding energy with the outflow kinetic energy suggests that the compact core containing g344023 mm is being destroyed by its molecular outflows whereas the outflows associated with more massive core surrounding the g344 uc hii region are not likely to totally disrupt the cloud additionally a qualitative evaluation of the region appears to suggest that stars in this region may have formed in two stages first lower mass stars formed and then a few myrs later the more massive stars began to form
|
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|
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|
706.4331
|
Constraints on Extrasolar Planet Populations from VLT NACO/SDI and MMT
SDI and Direct Adaptive Optics Imaging Surveys: Giant Planets are Rare at
Large Separations
|
We examine the implications for the distribution of extrasolar planets based
on the null results from two of the largest direct imaging surveys published to
date. Combining the measured contrast curves from 22 of the stars observed with
the VLT NACO adaptive optics system by Masciadri et al. (2005), and 48 of the
stars observed with the VLT NACO SDI and MMT SDI devices by Biller et al.
(2007) (for a total of 60 unique stars; the median star for our survey is a 30
Myr K2 star at 25 pc), we consider what distributions of planet masses and
semi-major axes can be ruled out by these data, based on Monte Carlo
simulations of planet populations. We can set this upper limit with 95%
confidence: the fraction of stars with planets with semi-major axis from 20 to
100 AU, and mass >4 M_Jup, is 20% or less. Also, with a distribution of planet
mass of dN/dM ~ M^-1.16 between 0.5-13 M_Jup, we can rule out a power-law
distribution for semi-major axis (dN/da ~ a^alpha) with index 0 and upper
cut-off of 18 AU, and index -0.5 with an upper cut-off of 48 AU. For the
distribution suggested by Cumming et al. (2007), a power-law of index -0.61, we
can place an upper limit of 75 AU on the semi-major axis distribution. At the
68% confidence level, these upper limits state that fewer than 8% of stars have
a planet of mass >4 M_Jup between 20 and 100 AU, and a power-law distribution
for semi-major axis with index 0, -0.5, and -0.61 cannot have giant planets
beyond 12, 23, and 29 AU, respectively. In general, we find that even null
results from direct imaging surveys are very powerful in constraining the
distributions of giant planets (0.5-13 M_Jup) at large separations, but more
work needs to be done to close the gap between planets that can be detected by
direct imaging, and those to which the radial velocity method is sensitive.
|
astro-ph
|
we examine the implications for the distribution of extrasolar planets based on the null results from two of the largest direct imaging surveys published to date combining the measured contrast curves from 22 of the stars observed with the vlt naco adaptive optics system by masciadri et al 2005 and 48 of the stars observed with the vlt naco sdi and mmt sdi devices by biller et al 2007 for a total of 60 unique stars the median star for our survey is a 30 myr k2 star at 25 pc we consider what distributions of planet masses and semimajor axes can be ruled out by these data based on monte carlo simulations of planet populations we can set this upper limit with 95 confidence the fraction of stars with planets with semimajor axis from 20 to 100 au and mass 4 m_jup is 20 or less also with a distribution of planet mass of dndm m116 between 0513 m_jup we can rule out a powerlaw distribution for semimajor axis dnda aalpha with index 0 and upper cutoff of 18 au and index 05 with an upper cutoff of 48 au for the distribution suggested by cumming et al 2007 a powerlaw of index 061 we can place an upper limit of 75 au on the semimajor axis distribution at the 68 confidence level these upper limits state that fewer than 8 of stars have a planet of mass 4 m_jup between 20 and 100 au and a powerlaw distribution for semimajor axis with index 0 05 and 061 cannot have giant planets beyond 12 23 and 29 au respectively in general we find that even null results from direct imaging surveys are very powerful in constraining the distributions of giant planets 0513 m_jup at large separations but more work needs to be done to close the gap between planets that can be detected by direct imaging and those to which the radial velocity method is sensitive
|
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|
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|
706.4332
|
Can 2HDM support fermion-stabilized bubbles of false vacuum?
|
The Higgs potential of the two-Higgs-doublet model can have several minima
with different properties. We discuss a possibility that a heavy fermion, if
trapped in a microscopic false vacuum bubble, might become light enough to
prevent the bubble from the collapse.
|
hep-ph
|
the higgs potential of the twohiggsdoublet model can have several minima with different properties we discuss a possibility that a heavy fermion if trapped in a microscopic false vacuum bubble might become light enough to prevent the bubble from the collapse
|
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|
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|
706.4333
|
Energy exchange in fast optical soliton collisions as a random cascade
model
|
We study the dynamics of a probe soliton propagating in an optical fiber and
exchanging energy in fast collisions with a random sequence of pump solitons.
The energy exchange is induced by Raman scattering or by cubic nonlinear
loss/gain. We show that the equation describing the dynamics of the probe
soliton's amplitude has the same form as the equation for the local space
average of energy dissipation in random cascade models in turbulence. We
characterize the statistics of the probe soliton's amplitude by the \tau_{q}
exponents from multifractal theory and by the Cram\'er function S(x). We find
that the n-th moment of the two-time correlation function and the
bit-error-rate contribution from amplitude decay exhibit power-law behavior as
functions of propagation distance, where the exponents can be expressed in
terms of \tau_{q} or S(x).
|
nlin.PS
|
we study the dynamics of a probe soliton propagating in an optical fiber and exchanging energy in fast collisions with a random sequence of pump solitons the energy exchange is induced by raman scattering or by cubic nonlinear lossgain we show that the equation describing the dynamics of the probe solitons amplitude has the same form as the equation for the local space average of energy dissipation in random cascade models in turbulence we characterize the statistics of the probe solitons amplitude by the tau_q exponents from multifractal theory and by the cramer function sx we find that the nth moment of the twotime correlation function and the biterrorrate contribution from amplitude decay exhibit powerlaw behavior as functions of propagation distance where the exponents can be expressed in terms of tau_q or sx
|
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|
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|
706.4334
|
Power Loss for Inhomogeneous Poisson Processes
|
In this work, based on a realization of an inhomogeneous Poisson process
whose intensity function depends on a real unknown parameter, we consider a
simple hypothesis against a sequence of close (contiguous) alternatives. Under
certain regularity conditions we obtain the power loss of the score test with
respect to the Neyman-Pearson test. The power loss measures the performance of
a second order efficient test by the help of third order asymptotic properties
of the problem under consideration.
|
math.ST stat.TH
|
in this work based on a realization of an inhomogeneous poisson process whose intensity function depends on a real unknown parameter we consider a simple hypothesis against a sequence of close contiguous alternatives under certain regularity conditions we obtain the power loss of the score test with respect to the neymanpearson test the power loss measures the performance of a second order efficient test by the help of third order asymptotic properties of the problem under consideration
|
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|
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|
706.4335
|
A single-photon transistor using nano-scale surface plasmons
|
It is well known that light quanta (photons) can interact with each other in
nonlinear media, much like massive particles do, but in practice these
interactions are usually very weak. Here we describe a novel approach to
realize strong nonlinear interactions at the single-photon level. Our method
makes use of recently demonstrated efficient coupling between individual
optical emitters and tightly confined, propagating surface plasmon excitations
on conducting nanowires. We show that this system can act as a nonlinear
two-photon switch for incident photons propagating along the nanowire, which
can be coherently controlled using quantum optical techniques. As a novel
application, we discuss how the interaction can be tailored to create a
single-photon transistor, where the presence or absence of a single incident
photon in a ``gate'' field is sufficient to completely control the propagation
of subsequent ``signal'' photons.
|
quant-ph
|
it is well known that light quanta photons can interact with each other in nonlinear media much like massive particles do but in practice these interactions are usually very weak here we describe a novel approach to realize strong nonlinear interactions at the singlephoton level our method makes use of recently demonstrated efficient coupling between individual optical emitters and tightly confined propagating surface plasmon excitations on conducting nanowires we show that this system can act as a nonlinear twophoton switch for incident photons propagating along the nanowire which can be coherently controlled using quantum optical techniques as a novel application we discuss how the interaction can be tailored to create a singlephoton transistor where the presence or absence of a single incident photon in a gate field is sufficient to completely control the propagation of subsequent signal photons
|
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|
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|
706.4336
|
On the Connection Between Metal Absorbers and Quasar Nebulae
|
We establish a simple model for the distribution of cold gas around L*
galaxies using a large set of observational constraints on the properties of
strong MgII absorber systems. Our analysis suggests that the halos of L*
galaxies are filled with cool gaseous clouds having sizes of order 1kpc and
densities of ~10^{-2} cm^{-3}. We then investigate the physical effects of
cloud irradiation by a quasar and study the resulting spectral signatures. We
show that quasar activity gives rise to (i) extended narrow-line emission on
~100kpc scales and (ii) an anisotropy in the properties of the absorbing gas
arising from the geometry of the quasar radiation field. Provided that quasars
reside in halos several times more massive than those of L* galaxies, our model
predictions appear to be in agreement with observations of narrow emission-line
nebulae around quasars and the recent detections of ~100kpc cold gaseous
envelopes around those objects, suggesting a common origin for these phenomena.
We discuss the implications of our results for understanding absorption
systems, probing quasar environments at high redshifts, and testing the quasar
unification scheme.
|
astro-ph
|
we establish a simple model for the distribution of cold gas around l galaxies using a large set of observational constraints on the properties of strong mgii absorber systems our analysis suggests that the halos of l galaxies are filled with cool gaseous clouds having sizes of order 1kpc and densities of 102 cm3 we then investigate the physical effects of cloud irradiation by a quasar and study the resulting spectral signatures we show that quasar activity gives rise to i extended narrowline emission on 100kpc scales and ii an anisotropy in the properties of the absorbing gas arising from the geometry of the quasar radiation field provided that quasars reside in halos several times more massive than those of l galaxies our model predictions appear to be in agreement with observations of narrow emissionline nebulae around quasars and the recent detections of 100kpc cold gaseous envelopes around those objects suggesting a common origin for these phenomena we discuss the implications of our results for understanding absorption systems probing quasar environments at high redshifts and testing the quasar unification scheme
|
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|
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|
706.4337
|
Directed Paths in a Wedge
|
Directed paths have been used extensively in the scientific literature as a
model of a linear polymer. Such paths models in particular the conformational
entropy of a linear polymer and the effects it has on the free energy. These
directed models are simplified versions of the self-avoiding walk, but they do
nevertheless give insight into the phase behaviour of a polymer, and also serve
as a tool to study the effects of conformational degrees of freedom in the
behaviour of a linear polymer. In this paper we examine a directed path model
of a linear polymer in a confining geometry (a wedge). The main focus of our
attention is $c_n$, the number of directed lattice paths of length $n$ steps
which takes steps in the North-East and South-East directions and which is
confined to the wedge $Y=\pm X/p$, where $p$ is an integer. In this paper we
examine the case $p=2$ in detail, and we determine the generating function
using the iterated kernel method. We also examine the asymtotics of $c_n$. In
particular, we show that $$ c_n = [0.67874...]\times 2^{n-1}(1+(-1)^n) +
O((4/3^{3/4})^{n+o(n)}) + o((4/3^{3/4})^n) $$ where we can determine the
constant $0.67874...$ to arbitrary accuracy with little effort.
|
cond-mat.soft cond-mat.stat-mech math-ph math.CO math.MP
|
directed paths have been used extensively in the scientific literature as a model of a linear polymer such paths models in particular the conformational entropy of a linear polymer and the effects it has on the free energy these directed models are simplified versions of the selfavoiding walk but they do nevertheless give insight into the phase behaviour of a polymer and also serve as a tool to study the effects of conformational degrees of freedom in the behaviour of a linear polymer in this paper we examine a directed path model of a linear polymer in a confining geometry a wedge the main focus of our attention is c_n the number of directed lattice paths of length n steps which takes steps in the northeast and southeast directions and which is confined to the wedge ypm xp where p is an integer in this paper we examine the case p2 in detail and we determine the generating function using the iterated kernel method we also examine the asymtotics of c_n in particular we show that c_n 067874times 2n111n o4334non o4334n where we can determine the constant 067874 to arbitrary accuracy with little effort
|
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|
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|
706.4338
|
Convergence properties of Donaldson's $T$-iterations on the Riemann
sphere
|
In a recent paper Donaldson defines three operators on a space of Hermitian
metrics on a complex projective manifold: $T, T_{\nu}, T_K.$ Iterations of
these operators converge to balanced metrics, and these themselves approximate
constant scalar curvature metrics. In this paper we investigate the convergence
properties of these iterations by examining the case of the Riemann sphere as
well as higher dimensional $\mathbb{CP}^n$.
|
math.DG math.NA
|
in a recent paper donaldson defines three operators on a space of hermitian metrics on a complex projective manifold t t_nu t_k iterations of these operators converge to balanced metrics and these themselves approximate constant scalar curvature metrics in this paper we investigate the convergence properties of these iterations by examining the case of the riemann sphere as well as higher dimensional mathbbcpn
|
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|
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|
706.4339
|
Dynamical and scaling properties of nu=5/2 interferometer
|
We calculate the non-linear I-V tunneling curves for a two-point-contact
tunneling junction between two edges of the $\nu={5/2}$ non-abelian fractional
quantum Hall state. The non-linear I-V tunneling curves are calculated for both
cases with and without an $e/4$ non-abelian quasiparticle between the two
contacts. We confirm that, within a dynamical edge theory, the presence of the
$e/4$ quasiparticle between the two contacts destroys the interference between
the two tunneling paths. We also calculate how the interference reappears as
the $e/4$ quasiparticle is moved closer to an edge.
|
cond-mat.mes-hall cond-mat.str-el
|
we calculate the nonlinear iv tunneling curves for a twopointcontact tunneling junction between two edges of the nu52 nonabelian fractional quantum hall state the nonlinear iv tunneling curves are calculated for both cases with and without an e4 nonabelian quasiparticle between the two contacts we confirm that within a dynamical edge theory the presence of the e4 quasiparticle between the two contacts destroys the interference between the two tunneling paths we also calculate how the interference reappears as the e4 quasiparticle is moved closer to an edge
|
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|
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|
706.434
|
Analogue to multiple electromagnetically induced transparency in
all-optical drop-filter systems
|
We theoretically study a parallel optical configuration which includes N
periodically coupled whispering-gallery-mode resonators. The model shows an
obvious effect which has a direct analogy with the phenomenon of multiple
electromagnetically induced transparency in quantum systems. The numerical
simulations illuminate that the frequency transparency windows are sharp and
highly transparent. We also briefly discuss the experimental feasibility of the
current scheme in two practical systems, microrings and microdisks.
|
quant-ph
|
we theoretically study a parallel optical configuration which includes n periodically coupled whisperinggallerymode resonators the model shows an obvious effect which has a direct analogy with the phenomenon of multiple electromagnetically induced transparency in quantum systems the numerical simulations illuminate that the frequency transparency windows are sharp and highly transparent we also briefly discuss the experimental feasibility of the current scheme in two practical systems microrings and microdisks
|
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|
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|
706.4341
|
A note on p-adic q-integrals associated with q-Euler numbers
|
In this we give a detailed proof of fermionic p-adic q-measures on Z_p and we
will treat some interesting formulae related q-extension of Euler numbers and
polynomials.
|
math.NT
|
in this we give a detailed proof of fermionic padic qmeasures on z_p and we will treat some interesting formulae related qextension of euler numbers and polynomials
|
[['in', 'this', 'we', 'give', 'a', 'detailed', 'proof', 'of', 'fermionic', 'padic', 'qmeasures', 'on', 'z_p', 'and', 'we', 'will', 'treat', 'some', 'interesting', 'formulae', 'related', 'qextension', 'of', 'euler', 'numbers', 'and', 'polynomials']]
|
[-0.2543510030417775, 0.10374826669850826, -0.1849559676976731, 0.16946141417765131, -0.15519515224374258, -0.13568168045737997, 0.024959285779354665, 0.24949920725507232, -0.2349908945079033, -0.21573762044024009, 0.05409991903714119, -0.22727363921092966, -0.18704458318937284, 0.2813924238658868, -0.13801670995039436, -0.0011430011632350774, -0.008393732239850439, 0.06932241240373024, -0.11368483070355768, -0.3124874891856542, 0.3464972156171615, -0.05608245504733462, 0.10704192160986938, 0.12136869583852015, 0.0844098854308518, 0.02133892265220101, -0.13075803123557797, -0.10972001733115086, -0.27483592064191514, 0.11903074935365182, 0.30789855466439175, 0.06383212034303981, 0.21024595621901637, -0.4328510367239897, -0.04390050057106866, 0.17774294194980308, 0.19123132148972496, 0.06494678757511653, -0.04917244085271914, -0.24304616508575586, 0.0050414124360451335, -0.17197102687966365, -0.2042024009502851, -0.17675629186515623, 0.03328211426448364, 0.1414852635576748, -0.21554396280015892, 0.037933743164802976, 0.07961972752729288, 0.17210237875294226, -0.04368450289117531, -0.2106258962661601, 0.10939340566479726, -0.010254912866422763, 0.03222754275282988, -0.050735534741901435, 0.010151824519897882, -0.11674825556110591, -0.07320720442714027, 0.38583459017368466, -0.024166133254766464, -0.2665421078697993, 0.15675122649050677, -0.1673803125293209, -0.29345084948895067, 0.06163411644788889, 0.13669466155652815, 0.16376555994009742, 0.020668498885173064, 0.11080899844931152, -0.18338063258964282, 0.054801009165552944, 0.1278194929831303, 0.041613409510598734, 0.17739819713796562, -0.023914439603686333, -0.0013315784744918346, 0.24882333180329835, 0.02691699454310135, -0.09529263411576931, -0.397041081952361, -0.2744945897183453, -0.13134596174439558, 0.17034291028260037, -0.10070943391698305, -0.18744127208796832, 0.4487417393292372, 0.17373039913721955, 0.1460953804735954, 0.14704945276025683, 0.2102356799519979, 0.1185220073407086, -0.022376690364371125, -0.061634104913817, 0.02935550339148344, 0.2379381452472164, 0.05866882850386901, -0.09895616497557896, -0.06883532854800041, 0.23998294548633006]
|
706.4342
|
Spin-liquid model of the sharp resistivity drop in
$La_{1.85}Ba_{0.125}CuO_4$
|
We use the phenomenological model proposed in our previous paper [Phys. Rev.
Lett. {\bf 98}, 237001 (2007)] to analyse the magnetic field dependence of the
onset temperature for two-dimensional fluctuating superconductivity $T^{**}
(H)$. We demonstrate that the slope of $T^{**} (H)$ progressively goes down as
$H$ increases, such that the upper critical field progressively increases as
$T$ decreases. The quantitative agreement with the recent measurements of
$T^{**} (H)$ in $La_{1.85}Ba_{0.125}CuO_4$ is achieved for the same parameter
value as was derived in our previous publication from the analysis of the
electron self energy.
|
cond-mat.supr-con
|
we use the phenomenological model proposed in our previous paper phys rev lett bf 98 237001 2007 to analyse the magnetic field dependence of the onset temperature for twodimensional fluctuating superconductivity t h we demonstrate that the slope of t h progressively goes down as h increases such that the upper critical field progressively increases as t decreases the quantitative agreement with the recent measurements of t h in la_185ba_0125cuo_4 is achieved for the same parameter value as was derived in our previous publication from the analysis of the electron self energy
|
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|
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|
706.4343
|
Hausdorff Dimension and Hausdorff Measure for Non-integer based
Cantor-type Sets
|
We consider digits-deleted sets or Cantor-type sets with $\beta$-expansions.
We calculate the Hausdorff dimension $d$ of these sets and show that $d$ is
continuous with respect to $\beta$. The $d$-dimentional Hausdorff measure of
these sets is finite and positive.
|
math.DS math.MG
|
we consider digitsdeleted sets or cantortype sets with betaexpansions we calculate the hausdorff dimension d of these sets and show that d is continuous with respect to beta the ddimentional hausdorff measure of these sets is finite and positive
|
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|
[-0.14483022063064413, 0.1701222560242624, -0.02885397456938753, 0.09342630291231782, 0.03607301148460121, -0.11960242593006508, 0.05657046197636707, 0.38425752510492867, -0.3026801720261574, -0.13524473070425005, 0.09790093575075672, -0.3985573804459056, -0.08787565354282993, 0.189484607119969, -0.08076654052412188, 0.07887688329493678, 0.022987975008987093, 0.11609300195768073, -0.05439709870748826, -0.29636569996364415, 0.4647647529035001, -0.13611317526649785, 0.205659426874607, 0.05837853183667805, 0.0958178747646712, -0.08148338945230117, -0.10198003703073875, 0.11977677218414642, -0.20771441357686166, 0.1752592304067032, 0.184861045934864, 0.1726559507094223, 0.21370666051233136, -0.27775255046986247, -0.14747977432971066, 0.2450839573064366, 0.05657050474169287, -0.012285345007438917, 0.07967876569946876, -0.27568713555464874, 0.19316564146051737, -0.114374592094808, -0.17475324544451526, -0.15500100256522764, 0.15159430737430984, 0.026940137298928725, -0.3347916985685761, 0.009174191216762, 0.028127482211267627, 0.09279954831141073, -0.08808210441792333, -0.13287801730975107, -0.01362732341638892, 0.08913743116175504, 0.018363294112999494, 0.06922106931577562, 0.03446580462057043, 0.05776015508013803, -0.15587013365851865, 0.3629258427945142, -0.059787595493567956, -0.27994914795901327, 0.2868591627559146, -0.32713879337786017, -0.08744833351591148, 0.06103987669622576, 0.15428095059217634, 0.0891961054624738, -0.028924554259189078, 0.20783913638631538, -0.09837663110748336, 0.14847603243951862, 0.11638616989492565, 0.059030225135486676, 0.10085551118528521, 0.11336103132044947, 0.18001714625672713, 0.1820920637833911, -0.06766605773638631, 0.030232491361833102, -0.3294151788829146, -0.12242734709100143, -0.1868830462162559, 0.11207944914899967, -0.15191503130827677, -0.2691499707666603, 0.2949735892785562, 0.07985870323672488, 0.236912944127579, 0.16534814747000062, 0.19878823486332958, 0.11445754022664718, -0.026216707088531473, 0.0933084717725177, 0.06501299646255132, 0.12147817297561748, -0.06326085218303912, -0.17286554298590165, 0.004749609887398578, 0.1491764537184625]
|
706.4344
|
2-Selmer Groups and the Birch-Swinnerton-Dyer Conjecture for the
Congruent Number Curve
|
We take an approach toward counting the number of n for which the curves E_n:
y^2=x^3-n^2x have 2-Selmer groups of a given size. This question was also
discussed in a pair of Invent. Math. papers by Roger Heath-Brown. We discuss
the connection between computing the size of these Selmer groups and verifying
cases of the Birch and Swinnerton-Dyer Conjecture. The key ingredient for the
asymptotic formulae is the ``independence'' of the Legendre symbol evaluated at
the prime divisors of an integer with exactly k prime factors.
|
math.NT
|
we take an approach toward counting the number of n for which the curves e_n y2x3n2x have 2selmer groups of a given size this question was also discussed in a pair of invent math papers by roger heathbrown we discuss the connection between computing the size of these selmer groups and verifying cases of the birch and swinnertondyer conjecture the key ingredient for the asymptotic formulae is the independence of the legendre symbol evaluated at the prime divisors of an integer with exactly k prime factors
|
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|
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|
706.4345
|
NMR relaxation and resistivity from rattling phonons in pyrochlore
superconductors
|
We calculate the temperature dependence of NMR relaxation rate and electrical
resistivity for coupling to a local, strongly anharmonic phonon mode. We argue
that the two-phonon Raman process is dominating NMR relaxation. Due to the
strong anharmonicity of the phonon an unusual temperature dependence is found
having a low temperature peak and becoming constant towards higher
temperatures. The electrical resistivity is found to vary like T^2 at low
temperatures and following a sqrt{T} behavior at high temperatures. Both
results are in qualitative agreement with recent observations on
beta-pyrochlore oxide superconductors.
|
cond-mat.supr-con cond-mat.mtrl-sci
|
we calculate the temperature dependence of nmr relaxation rate and electrical resistivity for coupling to a local strongly anharmonic phonon mode we argue that the twophonon raman process is dominating nmr relaxation due to the strong anharmonicity of the phonon an unusual temperature dependence is found having a low temperature peak and becoming constant towards higher temperatures the electrical resistivity is found to vary like t2 at low temperatures and following a sqrtt behavior at high temperatures both results are in qualitative agreement with recent observations on betapyrochlore oxide superconductors
|
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|
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|
706.4346
|
Studying possible CP-violating Higgs couplings through top-quark pair
productions at muon colliders
|
We study possible anomalous CP-violating Higgs couplings to mu mu-bar and t
t-bar fully model-independent way through top-quark pair productions at muon
colliders. Assuming additional non-standard neutral Higgs bosons, whose
couplings with top-quark and muon are expressed in the most general covariant
form, we carry out analyses of effects which they are expected to produce via
CP-violating asymmetries and also the optimal-observable (OO) procedure under
longitudinal and transverse muon polarizations. We find the measurement of the
asymmetry for longitudinal beam polarization could be useful to catch some
signal of CP violation, and an OO analysis might also be useful if we could
reduce the number of unknown parameters with a help of other experiments and if
the size of the parameters is at least O(1) ~ O(10).
|
hep-ph hep-ex
|
we study possible anomalous cpviolating higgs couplings to mu mubar and t tbar fully modelindependent way through topquark pair productions at muon colliders assuming additional nonstandard neutral higgs bosons whose couplings with topquark and muon are expressed in the most general covariant form we carry out analyses of effects which they are expected to produce via cpviolating asymmetries and also the optimalobservable oo procedure under longitudinal and transverse muon polarizations we find the measurement of the asymmetry for longitudinal beam polarization could be useful to catch some signal of cp violation and an oo analysis might also be useful if we could reduce the number of unknown parameters with a help of other experiments and if the size of the parameters is at least o1 o10
|
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|
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|
706.4347
|
Bulge and Halo Kinematics Across the Hubble Sequence
|
The correlation between the maximum rotational velocity of the disk (v_m) and
the central stellar velocity dispersion of the bulge (sigma) offers insights
into the relationship between the halo and the bulge. We have assembled
integrated H I line widths and central stellar velocity dispersions to study
the v_m-sigma relation for 792 galaxies spanning a broad range of Hubble types.
Contrary to earlier studies based on much smaller samples, we find that the
v_m-sigma relation exhibits significant intrinsic scatter and that its
zeropoint varies systematically with galaxy morphology, bulge-to-disk ratio,
and light concentration, as expected from basic dynamical considerations.
Nucleated but bulgeless late-type spiral galaxies depart significantly from the
v_m-sigma relation. While these results render questionable any attempt to
supplant the bulge with the halo as the fundamental determinant of the central
black hole mass in galaxies, the observed distribution of v_m/sigma, which
depends on both the density profile and kinematic structure of the galaxy,
offers a useful constraint on galaxy formation models. With the aid of a
near-infrared Tully-Fisher relation, we identify a population of otherwise
normal, luminous galaxies that have exceptionally low values of v_m/sigma. We
argue that a significant fraction of the H I gas in these kinematically
anomalous objects is dynamically unrelaxed, having been acquired externally
either through capture from tidal interactions or through cold accretion from
the intergalactic medium.
|
astro-ph
|
the correlation between the maximum rotational velocity of the disk v_m and the central stellar velocity dispersion of the bulge sigma offers insights into the relationship between the halo and the bulge we have assembled integrated h i line widths and central stellar velocity dispersions to study the v_msigma relation for 792 galaxies spanning a broad range of hubble types contrary to earlier studies based on much smaller samples we find that the v_msigma relation exhibits significant intrinsic scatter and that its zeropoint varies systematically with galaxy morphology bulgetodisk ratio and light concentration as expected from basic dynamical considerations nucleated but bulgeless latetype spiral galaxies depart significantly from the v_msigma relation while these results render questionable any attempt to supplant the bulge with the halo as the fundamental determinant of the central black hole mass in galaxies the observed distribution of v_msigma which depends on both the density profile and kinematic structure of the galaxy offers a useful constraint on galaxy formation models with the aid of a nearinfrared tullyfisher relation we identify a population of otherwise normal luminous galaxies that have exceptionally low values of v_msigma we argue that a significant fraction of the h i gas in these kinematically anomalous objects is dynamically unrelaxed having been acquired externally either through capture from tidal interactions or through cold accretion from the intergalactic medium
|
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|
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|
706.4348
|
A fast direct solver for network matrices
|
A fast direct inversion scheme for the large sparse systems of linear
equations resulting from the discretization of elliptic partial differential
equations in two dimensions is given. The scheme is described for the
particular case of a discretization on a uniform square grid, but can be
generalized to more general geometries. For a grid containing $N$ points, the
scheme requires $O(N \log^{2}N)$ arithmetic operations and $O(N \log N)$
storage to compute an approximate inverse. If only a single solve is required,
then the scheme requires only $O(\sqrt{N} \log N)$ storage; the same storage is
sufficient for computing the Dirichlet-to-Neumann operator as well as other
boundary-to-boundary operators. The scheme is illustrated with several
numerical examples. For instance, a matrix of size $10^6 \times 10^6$ is
inverted to seven digits accuracy in four minutes on a 2.8GHz P4 desktop PC.
|
math.NA
|
a fast direct inversion scheme for the large sparse systems of linear equations resulting from the discretization of elliptic partial differential equations in two dimensions is given the scheme is described for the particular case of a discretization on a uniform square grid but can be generalized to more general geometries for a grid containing n points the scheme requires on log2n arithmetic operations and on log n storage to compute an approximate inverse if only a single solve is required then the scheme requires only osqrtn log n storage the same storage is sufficient for computing the dirichlettoneumann operator as well as other boundarytoboundary operators the scheme is illustrated with several numerical examples for instance a matrix of size 106 times 106 is inverted to seven digits accuracy in four minutes on a 28ghz p4 desktop pc
|
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|
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|
706.4349
|
TeV scale partial mirage unification and neutralino dark matter
|
We study the TeV scale partial mirage unification scenario, where the gluino
and wino masses are degenerate around a TeV scale, but the bino mass is not
degenerate. This scenario has phenomenologically interesting aspects. First,
because of the degeneracy between the gluino and wino masses, this scenario
does not have the little hierarchy problem, that is, the higgisino mass is
around 150 GeV. The lightest superparticle is a mixture of the bino and
higgsino, and can lead to a right amount of thermal relic density as a dark
matter candidate.
|
hep-ph
|
we study the tev scale partial mirage unification scenario where the gluino and wino masses are degenerate around a tev scale but the bino mass is not degenerate this scenario has phenomenologically interesting aspects first because of the degeneracy between the gluino and wino masses this scenario does not have the little hierarchy problem that is the higgisino mass is around 150 gev the lightest superparticle is a mixture of the bino and higgsino and can lead to a right amount of thermal relic density as a dark matter candidate
|
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|
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|
706.435
|
On Interdependence of the Paleomagnetic Field Characteristics
|
The behaviour of the geomagnetic field characteristics (mean values of the
paleointensity, amplitude of its variations and reversal frequency) during the
last 170 million years was analyzed. It was found that the mean values of the
paleointensity were in direct relation to amplitude of its variations and in
reverse relation to reversal frequency. The most considerable changes of the
Earth magnetic field characteristics occurred in Early Cretaceous, Middle
Paleogene and Neogene. The analysis of conformity of the reconstructed
characteristics behaviour of a geomagnetic field to an alfa-omega- dynamo model
was made.
|
physics.geo-ph
|
the behaviour of the geomagnetic field characteristics mean values of the paleointensity amplitude of its variations and reversal frequency during the last 170 million years was analyzed it was found that the mean values of the paleointensity were in direct relation to amplitude of its variations and in reverse relation to reversal frequency the most considerable changes of the earth magnetic field characteristics occurred in early cretaceous middle paleogene and neogene the analysis of conformity of the reconstructed characteristics behaviour of a geomagnetic field to an alfaomega dynamo model was made
|
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|
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|
706.4351
|
Diffuse Gamma-ray Emission from the Galactic Center - A Multiple Energy
Injection Model
|
We suggest that the energy source of the observed diffuse gamma-ray emission
from the direction of the Galactic center is the Galactic black hole Sgr A*,
which becomes active when a star is captured at a rate of $\sim 10^{-5} $
yr^{-1}. Subsequently the star is tidally disrupted and its matter is accreted
into the black hole. During the active phase relativistic protons with a
characteristic energy $\sim 6\times 10^{52}$ erg per capture are ejected. Over
90% of these relativistic protons disappear due to proton-proton collisions on
a timescale $\tau_{pp} \sim 10^4$ years in the small central bulge region with
radius $\sim 50$ pc within Sgr A*, where the density is $\ge 10^3$ cm^{-3}. The
gamma-ray intensity, which results from the decay of neutral pions produced by
proton-proton collisions, decreases according to $e^{-t/\tau_{pp}}$, where t is
the time after last stellar capture. Less than 5% of relativistic protons
escaped from the central bulge region can survive and maintain their energy for
>10^7 years due to much lower gas density outside, where the gas density can
drop to $\sim 1$ cm$^{-3}$. They can diffuse to a $\sim 500$ pc region before
disappearing due to proton-proton collisions. The observed diffuse GeV
gamma-rays resulting from the decay of neutral pions produced via collision
between these escaped protons and the gas in this region is expected to be
insensitive to time in the multi-injection model with the characteristic
injection rate of 10^{-5} yr^{-1}. Our model calculated GeV and 511 keV
gamma-ray intensities are consistent with the observed results of EGRET and
INTEGRAL, however, our calculated inflight annihilation rate cannot produce
sufficient intensity to explain the COMPTEL data.
|
astro-ph
|
we suggest that the energy source of the observed diffuse gammaray emission from the direction of the galactic center is the galactic black hole sgr a which becomes active when a star is captured at a rate of sim 105 yr1 subsequently the star is tidally disrupted and its matter is accreted into the black hole during the active phase relativistic protons with a characteristic energy sim 6times 1052 erg per capture are ejected over 90 of these relativistic protons disappear due to protonproton collisions on a timescale tau_pp sim 104 years in the small central bulge region with radius sim 50 pc within sgr a where the density is ge 103 cm3 the gammaray intensity which results from the decay of neutral pions produced by protonproton collisions decreases according to ettau_pp where t is the time after last stellar capture less than 5 of relativistic protons escaped from the central bulge region can survive and maintain their energy for 107 years due to much lower gas density outside where the gas density can drop to sim 1 cm3 they can diffuse to a sim 500 pc region before disappearing due to protonproton collisions the observed diffuse gev gammarays resulting from the decay of neutral pions produced via collision between these escaped protons and the gas in this region is expected to be insensitive to time in the multiinjection model with the characteristic injection rate of 105 yr1 our model calculated gev and 511 kev gammaray intensities are consistent with the observed results of egret and integral however our calculated inflight annihilation rate cannot produce sufficient intensity to explain the comptel data
|
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|
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|
706.4352
|
Orbital Order, Stripe Phases and Mott Transition in a Planar Model for
Manganites
|
Understanding orbital ordered (OO) Mott insulating states lies at the heart
of a consistent resolution of the colossal magneto-resistance (CMR) observed in
manganites, where its melting induces a low-$T$ insulator-metal transition for
$0.25 \le x\le 0.45$. Motivated thereby, we study the OO states in a planar
model for bilayer manganites using DMFT and finite-size diagonalisation
methods. We derive the correct OO ground states observed in manganites for
$x=0,{1/2},{2/3},{3/4}$ in exact agreement with observations, including the
charge-orbital-magnetic ordered stripe phases for $x>{1/2}$. These OO states
are {\it exactly} shown to be associated with an ``alloy'' ordering of the
$d_{3x^{2}-r^{2}}/d_{3y^{2}-r^{2}}$ orbitals on each $Mn^{3+}$ site.
|
cond-mat.str-el cond-mat.mtrl-sci
|
understanding orbital ordered oo mott insulating states lies at the heart of a consistent resolution of the colossal magnetoresistance cmr observed in manganites where its melting induces a lowt insulatormetal transition for 025 le xle 045 motivated thereby we study the oo states in a planar model for bilayer manganites using dmft and finitesize diagonalisation methods we derive the correct oo ground states observed in manganites for x0122334 in exact agreement with observations including the chargeorbitalmagnetic ordered stripe phases for x12 these oo states are it exactly shown to be associated with an alloy ordering of the d_3x2r2d_3y2r2 orbitals on each mn3 site
|
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|
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|
706.4353
|
Geometric Invariant Theory via Cox Rings
|
We consider actions of reductive groups on a varieties with finitely
generated Cox ring, e.g., the classical case of a diagonal action on a product
of projective spaces. Given such an action, we construct via combinatorial data
in the Cox ring all maximal open subsets such that the quotient is
quasiprojective or embeddable into a toric variety. As applications, we obtain
an explicit description of the chamber structure of the linearized ample cone
and several Gelfand-MacPherson type correspondences relating quotients of
reductive groups to quotients of torus actions. Moreover, our approach provides
information on the geometry of many of the resulting quotient spaces.
|
math.AG
|
we consider actions of reductive groups on a varieties with finitely generated cox ring eg the classical case of a diagonal action on a product of projective spaces given such an action we construct via combinatorial data in the cox ring all maximal open subsets such that the quotient is quasiprojective or embeddable into a toric variety as applications we obtain an explicit description of the chamber structure of the linearized ample cone and several gelfandmacpherson type correspondences relating quotients of reductive groups to quotients of torus actions moreover our approach provides information on the geometry of many of the resulting quotient spaces
|
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|
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|
706.4354
|
A counterexample to generalizations of the Milnor-Bloch-Kato conjecture
|
We construct an example of a torus $T$ over a field $K$ for which the Galois
symbol $K(K; T,T)/n K(K; T,T) \to H^2(K, T[n]\otimes T[n])$ is not injective
for some $n$. Here $K(K; T,T)$ is the Milnor $K$-group attached to $T$
introduced by Somekawa. We show also that the motive $M(T\times T)$ gives a
counterexample to another generalization of the Milnor-Bloch-Kato conjecture
(proposed by Beilinson).
|
math.KT
|
we construct an example of a torus t over a field k for which the galois symbol kk ttn kk tt to h2k tnotimes tn is not injective for some n here kk tt is the milnor kgroup attached to t introduced by somekawa we show also that the motive mttimes t gives a counterexample to another generalization of the milnorblochkato conjecture proposed by beilinson
|
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|
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|
706.4355
|
Phase Space Constraints on Neutrino Luminosities
|
While the importance of phase space constraints for gravitational clustering
of neutrinos (which are fermions) is well recognized, the explicit use of such
constraints to limit neutrino emission from ultra energetic sources has not
been stressed. Special and general relativistic phase space constraints are
shown to limit neutrino luminosities in compact sources in various situations.
|
astro-ph
|
while the importance of phase space constraints for gravitational clustering of neutrinos which are fermions is well recognized the explicit use of such constraints to limit neutrino emission from ultra energetic sources has not been stressed special and general relativistic phase space constraints are shown to limit neutrino luminosities in compact sources in various situations
|
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|
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|
706.4356
|
A three-dimensional backward-wave network matched with free space
|
A backward-wave slab based on a capacitively and inductively loaded
three-dimensional transmission-line network is designed in such a way that
impedance-matching with free space is obtained. To enable field propagation
from free space to the network and vice versa, the use of a transition layer is
proposed. Matching of the designed network with free space and negative
refraction occurring at the slab interfaces are confirmed with full-wave
simulations.
|
physics.gen-ph physics.optics
|
a backwardwave slab based on a capacitively and inductively loaded threedimensional transmissionline network is designed in such a way that impedancematching with free space is obtained to enable field propagation from free space to the network and vice versa the use of a transition layer is proposed matching of the designed network with free space and negative refraction occurring at the slab interfaces are confirmed with fullwave simulations
|
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|
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|
706.4357
|
Nuclear deformation and the two neutrino double-\beta decay in
^{124,126}Xe,^{128,130}Te, ^{130,132}Ba and ^{150}Nd isotopes
|
The two neutrino double beta decay of $^{124,126}$Xe,$^{128,130}$Te, $
^{130,132}$Ba and $^{150}$Nd isotopes is studied in the Projected
Hartree-Fock-Bogoliubov (PHFB) model. Theoretical 2$\nu $ $\beta^{-}\beta ^{-}$
half-lives of $^{128,130}$Te, and $^{150}$Nd isotopes, and 2$\nu
\beta^{+}\beta^{+}$, 2$\nu $ $\beta^{+}EC$ and 2$\nu $ $ECEC$ for $
^{124,126}$Xe and $^{130,132}$Ba nuclei are presented. Calculated quadrupolar
transition probabilities B(E2: $0^+\to 2^+$), static quadrupole moments and $g$
factors in the parent and daughter nuclei reproduce the experimental
information, validating the reliability of the model wave functions. The
anticorrelation between nuclear deformation and the nuclear transition matrix
element $M_{2\nu} $ is confirmed.
|
nucl-th
|
the two neutrino double beta decay of 124126xe128130te 130132ba and 150nd isotopes is studied in the projected hartreefockbogoliubov phfb model theoretical 2nu betabeta halflives of 128130te and 150nd isotopes and 2nu betabeta 2nu betaec and 2nu ecec for 124126xe and 130132ba nuclei are presented calculated quadrupolar transition probabilities be2 0to 2 static quadrupole moments and g factors in the parent and daughter nuclei reproduce the experimental information validating the reliability of the model wave functions the anticorrelation between nuclear deformation and the nuclear transition matrix element m_2nu is confirmed
|
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|
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|
706.4358
|
On Wahl's proof of $\mu(6)=65$
|
D. Jaffe and D. Ruberman proved in 1997 that a sextic hypersurface in
$\mathbb{P}^3$ has at most 65 nodes (the bound is sharp by Barth's
construction).
Almost at the same time, J. Wahl proposed a much shorter proof of the same
result, by proving that a linear code $V\subset \F^{66}$ with weights in
$\{24,32,40\}$ has dimension $\dim(V)\leq12$.
He claimed that Jaffe-Ruberman's theorem follows as a corollary since the
code associated to a sextic with n nodes has dimension at least $n-53$ and an
incorrect result stated by Casnati and Catanese asserted that the possible
cardinalities of an even set of nodes on a sextic were only 24, 32 and 40.
Recently Catanese and Tonoli showed that the possible cardinalities of an
even set of nodes on a sextic are exactly 24, 32, 40, 56. According to the
above cardinalities, the theorem of Jaffe and Ruberman reduces to the
following:
Let $V\subset \F^{66}$ be a code with weights in $\{24,32,40,56\}$. Then
$\dim(V)\leq12$.
In this short note we give an elementary proof of this theorem using and
integrating Wahl's ideas.
|
math.AG
|
d jaffe and d ruberman proved in 1997 that a sextic hypersurface in mathbbp3 has at most 65 nodes the bound is sharp by barths construction almost at the same time j wahl proposed a much shorter proof of the same result by proving that a linear code vsubset f66 with weights in 243240 has dimension dimvleq12 he claimed that jafferubermans theorem follows as a corollary since the code associated to a sextic with n nodes has dimension at least n53 and an incorrect result stated by casnati and catanese asserted that the possible cardinalities of an even set of nodes on a sextic were only 24 32 and 40 recently catanese and tonoli showed that the possible cardinalities of an even set of nodes on a sextic are exactly 24 32 40 56 according to the above cardinalities the theorem of jaffe and ruberman reduces to the following let vsubset f66 be a code with weights in 24324056 then dimvleq12 in this short note we give an elementary proof of this theorem using and integrating wahls ideas
|
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|
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|
706.4359
|
Existence of positive representations for complex weights
|
The necessity of computing integrals with complex weights over manifolds with
a large number of dimensions, e.g., in some field theoretical settings, poses a
problem for the use of Monte Carlo techniques. Here it is shown that very
general complex weight functions P(x) on R^d can be represented by real and
positive weights p(z) on C^d, in the sense that for any observable f, <f(x)>_P
= <f(z)>_p, f(z) being the analytical extension of f(x). The construction is
extended to arbitrary compact Lie groups.
|
hep-lat math-ph math.MP
|
the necessity of computing integrals with complex weights over manifolds with a large number of dimensions eg in some field theoretical settings poses a problem for the use of monte carlo techniques here it is shown that very general complex weight functions px on rd can be represented by real and positive weights pz on cd in the sense that for any observable f fx_p fz_p fz being the analytical extension of fx the construction is extended to arbitrary compact lie groups
|
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|
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|
706.436
|
Cold r-Process in Neutrino-Driven Winds
|
The r-process in a low temperature environment is explored, in which the
neutron emission by photodisintegration does not play a role (cold r-process).
A semi-analytic neutrino-driven wind model is utilized for this purpose. The
temperature in a supersonically expanding outflow can quickly drop to a few
10^8 K, where the (n, gamma)-(gamma, n) equilibrium is never achieved during
the heavy r-nuclei synthesis. In addition, the neutron capture competes with
the beta-decay owing to the low matter density. Despite such non-standard
physical conditions for the cold r-process, a solar-like r-process abundance
curve can be reproduced. The cold r-process predicts, however, the low lead
production compared to that expected in the traditional r-process conditions,
which can be a possible explanation for the low lead abundances found in a
couple of r-process-rich Galactic halo stars.
|
astro-ph
|
the rprocess in a low temperature environment is explored in which the neutron emission by photodisintegration does not play a role cold rprocess a semianalytic neutrinodriven wind model is utilized for this purpose the temperature in a supersonically expanding outflow can quickly drop to a few 108 k where the n gammagamma n equilibrium is never achieved during the heavy rnuclei synthesis in addition the neutron capture competes with the betadecay owing to the low matter density despite such nonstandard physical conditions for the cold rprocess a solarlike rprocess abundance curve can be reproduced the cold rprocess predicts however the low lead production compared to that expected in the traditional rprocess conditions which can be a possible explanation for the low lead abundances found in a couple of rprocessrich galactic halo stars
|
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|
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|
706.4361
|
J/psi production in Indium-Indium collisions at 158 GeV/nucleon
|
The NA60 experiment studies muon pair production at the CERN SPS. In this
letter we report on a precision measurement of J/psi in In-In collisions. We
have studied the J/psi centrality distribution, and we have compared it with
the one expected if absorption in cold nuclear matter were the only active
suppression mechanism. For collisions involving more than ~80 participant
nucleons, we find that an extra suppression is present. This result is in
qualitative agreement with previous Pb-Pb measurements by the NA50 experiment,
but no theoretical explanation is presently able to coherently describe both
results.
|
nucl-ex
|
the na60 experiment studies muon pair production at the cern sps in this letter we report on a precision measurement of jpsi in inin collisions we have studied the jpsi centrality distribution and we have compared it with the one expected if absorption in cold nuclear matter were the only active suppression mechanism for collisions involving more than 80 participant nucleons we find that an extra suppression is present this result is in qualitative agreement with previous pbpb measurements by the na50 experiment but no theoretical explanation is presently able to coherently describe both results
|
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|
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|
706.4362
|
A Special Nonlinear Connection in Second Order Geometry
|
We show that, for mechanical system with external forces, the equations of
deviations of solution curves of the corresponding Lagrange equations,determine
a nonlinear connection on the second order osculator (second order tangent)
bundle. In particular, Jacobi equations in Finsler and Riemann spaces determine
such a nonlinear connection.
|
math.DG math-ph math.MP
|
we show that for mechanical system with external forces the equations of deviations of solution curves of the corresponding lagrange equationsdetermine a nonlinear connection on the second order osculator second order tangent bundle in particular jacobi equations in finsler and riemann spaces determine such a nonlinear connection
|
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|
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|
706.4363
|
Vacuum polarization and plasma oscillations
|
We evidence the existence of plasma oscillations of electrons-positron pairs
created by the vacuum polarization in an uniform electric field with E < Ec.
Our general treatment, encompassing also the traditional, well studied case of
E > Ec, shows the existence in both cases of a maximum Lorentz factor acquired
by electrons and positrons and allows determination of the a maximal length of
oscillation. We quantitatively estimate how plasma oscillations reduce the rate
of pair creation and increase the time scale of the pair production. These
results are particularly relevant in view of the experimental progress in
approaching the field strengths E < Ec.
|
astro-ph physics.plasm-ph
|
we evidence the existence of plasma oscillations of electronspositron pairs created by the vacuum polarization in an uniform electric field with e ec our general treatment encompassing also the traditional well studied case of e ec shows the existence in both cases of a maximum lorentz factor acquired by electrons and positrons and allows determination of the a maximal length of oscillation we quantitatively estimate how plasma oscillations reduce the rate of pair creation and increase the time scale of the pair production these results are particularly relevant in view of the experimental progress in approaching the field strengths e ec
|
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|
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|
706.4364
|
Transverse $\Lambda^0$ polarization in inclusive photoproduction: quark
recombination model
|
Transverse polarization of $\Lambda^0$ hyperons in inclusive photoproduction
at x_F>0 is tackled within the framework of the quark recombination model,
which has been successfully applied to the polarization of different hyperons
in a variety of unpolarized hadron-hadron reactions. The results are compared
with recent experimental data of HERMES.
|
hep-ph
|
transverse polarization of lambda0 hyperons in inclusive photoproduction at x_f0 is tackled within the framework of the quark recombination model which has been successfully applied to the polarization of different hyperons in a variety of unpolarized hadronhadron reactions the results are compared with recent experimental data of hermes
|
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|
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|
706.4365
|
Multi-dimensional BSDE with Oblique Reflection and Optimal Switching
|
In this paper, we study a multi-dimensional backward stochastic differential
equation (BSDE) with oblique reflection, which is a BSDE reflected on the
boundary of a special unbounded convex domain along an oblique direction, and
which arises naturally in the study of optimal switching problem. The existence
of the adapted solution is obtained by the penalization method, the monotone
convergence, and the a priori estimations. The uniqueness is obtained by a
verification method (the first component of any adapted solution is shown to be
the vector value of a switching problem for BSDEs). As applications, we apply
the above results to solve the optimal switching problem for stochastic
differential equations of functional type, and we give also a probabilistic
interpretation of the viscosity solution to a system of variational
inequalities.
|
math.PR
|
in this paper we study a multidimensional backward stochastic differential equation bsde with oblique reflection which is a bsde reflected on the boundary of a special unbounded convex domain along an oblique direction and which arises naturally in the study of optimal switching problem the existence of the adapted solution is obtained by the penalization method the monotone convergence and the a priori estimations the uniqueness is obtained by a verification method the first component of any adapted solution is shown to be the vector value of a switching problem for bsdes as applications we apply the above results to solve the optimal switching problem for stochastic differential equations of functional type and we give also a probabilistic interpretation of the viscosity solution to a system of variational inequalities
|
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|
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|
706.4366
|
Gauge-independent Abelian mechanism of color confinement in gluodynamics
|
Abelian mechanism of non-Abelian color confinement is observed in a
gauge-independent way by high precision lattice Monte Carlo simulations in
gluodynamics. An Abelian gauge field is extracted with no gauge-fixing. A
static quark-antiquark potential derived from Abelian Polyakov loop correlators
gives us the same string tension as the non-Abelian one. The Hodge
decomposition of the Abelian Polyakov loop correlator to the regular photon and
the singular monopole parts also reveals that only the monopole part is
responsible for the string tension. The investigation of the flux-tube profile
then shows that Abelian electric fields defined in an arbitrary color direction
are squeezed by monopole supercurrents with the same color direction, and the
quantitative features of flux squeezing are consistent with those observed
previously after Abelian projections with gauge fixing. Gauge independence of
Abelian and monopole dominance strongly supports that the mechanism of
non-Abelian color confinement is due to the Abelian dual Meissner effect.
|
hep-lat hep-ph hep-th
|
abelian mechanism of nonabelian color confinement is observed in a gaugeindependent way by high precision lattice monte carlo simulations in gluodynamics an abelian gauge field is extracted with no gaugefixing a static quarkantiquark potential derived from abelian polyakov loop correlators gives us the same string tension as the nonabelian one the hodge decomposition of the abelian polyakov loop correlator to the regular photon and the singular monopole parts also reveals that only the monopole part is responsible for the string tension the investigation of the fluxtube profile then shows that abelian electric fields defined in an arbitrary color direction are squeezed by monopole supercurrents with the same color direction and the quantitative features of flux squeezing are consistent with those observed previously after abelian projections with gauge fixing gauge independence of abelian and monopole dominance strongly supports that the mechanism of nonabelian color confinement is due to the abelian dual meissner effect
|
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|
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|
706.4367
|
Muon spin rotation measurements of the superfluid density in fresh and
aged superconducting PuCoGa$_5$
|
We have measured the temperature dependence and magnitude of the superfluid
density $\rho_{\rm s}(T)$ via the magnetic field penetration depth $\lambda(T)$
in PuCoGa$_5$ (nominal critical temperature $T_{c0} = 18.5$ K) using the muon
spin rotation technique in order to investigate the symmetry of the order
parameter, and to study the effects of aging on the superconducting properties
of a radioactive material. The same single crystals were measured after 25 days
($T_c = 18.25$ K) and 400 days ($T_c = 15.0$ K) of aging at room temperature.
The temperature dependence of the superfluid density is well described in both
materials by a model using d-wave gap symmetry. The magnitude of the muon spin
relaxation rate $\sigma$ in the aged sample, $\sigma\propto
1/\lambda^2\propto\rho_s/m^*$, where $m^*$ is the effective mass, is reduced by
about 70% compared to fresh sample. This indicates that the scattering from
self-irradiation induced defects is not in the limit of the conventional
Abrikosov-Gor'kov pair-breaking theory, but rather in the limit of short
coherence length (about 2 nm in PuCoGa$_5$) superconductivity.
|
cond-mat.str-el cond-mat.supr-con
|
we have measured the temperature dependence and magnitude of the superfluid density rho_rm st via the magnetic field penetration depth lambdat in pucoga_5 nominal critical temperature t_c0 185 k using the muon spin rotation technique in order to investigate the symmetry of the order parameter and to study the effects of aging on the superconducting properties of a radioactive material the same single crystals were measured after 25 days t_c 1825 k and 400 days t_c 150 k of aging at room temperature the temperature dependence of the superfluid density is well described in both materials by a model using dwave gap symmetry the magnitude of the muon spin relaxation rate sigma in the aged sample sigmapropto 1lambda2proptorho_sm where m is the effective mass is reduced by about 70 compared to fresh sample this indicates that the scattering from selfirradiation induced defects is not in the limit of the conventional abrikosovgorkov pairbreaking theory but rather in the limit of short coherence length about 2 nm in pucoga_5 superconductivity
|
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|
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|
706.4368
|
Combinatorial and geometric methods in topology
|
Starting from the (apparently) elementary problem of deciding how many
different topological spaces can be obtained by gluing together in pairs the
faces of an octahedron, we will describe the central role played by hyperbolic
geometry within three-dimensional topology. We will also point out the striking
difference with the two-dimensional case, and we will review some of the
results of the combinatorial and computational approach to three-manifolds
developed by different mathematicians over the last several years.
|
math.GT
|
starting from the apparently elementary problem of deciding how many different topological spaces can be obtained by gluing together in pairs the faces of an octahedron we will describe the central role played by hyperbolic geometry within threedimensional topology we will also point out the striking difference with the twodimensional case and we will review some of the results of the combinatorial and computational approach to threemanifolds developed by different mathematicians over the last several years
|
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|
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|
706.4369
|
The role of HST in the study of near- and mid-infrared-selected galaxies
|
Because of their unique quality, Hubble Space Telescope (HST) data have
played an important complementary role in studies of infrared (IR) galaxies
conducted with major facilities, as VLT or Spitzer, and will be as well very
valuable for future telescopes as Herschel and ALMA. I review here some of the
most recent works led by European astronomers on IR galaxies, and discuss the
role that HST has had in the study of different IR galaxy populations. I
particularly focus the analysis on the GOODS fields, where the multiwavelength
data and unique HST coverage have enabled to jointly put constraints on the
evolution of star formation activity and stellar-mass growth with cosmic time.
|
astro-ph
|
because of their unique quality hubble space telescope hst data have played an important complementary role in studies of infrared ir galaxies conducted with major facilities as vlt or spitzer and will be as well very valuable for future telescopes as herschel and alma i review here some of the most recent works led by european astronomers on ir galaxies and discuss the role that hst has had in the study of different ir galaxy populations i particularly focus the analysis on the goods fields where the multiwavelength data and unique hst coverage have enabled to jointly put constraints on the evolution of star formation activity and stellarmass growth with cosmic time
|
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|
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|
706.437
|
Role of the exchange and correlation potential into calculating the
x-ray absorption spectra of half-metallic alloys: the case of Mn and Cu
K-edge XANES in Cu$_2$MnM (M = Al, Sn, In) Heusler alloys
|
This work reports a theoretical study of the x-ray absorption near-edge
structure spectra at both the Cu and the Mn K-edge in several Cu$_2$MnM (M= Al,
Sn and In) Heusler alloys. Our results show that {\it ab-initio} single-channel
multiple-scattering calculations are able of reproducing the experimental
spectra. Moreover, an extensive discussion is presented concerning the role of
the final state potential needed to reproduce the experimental data of these
half-metallic alloys. In particular, the effects of the cluster-size and of the
exchange and correlation potential needed in reproducing all the experimental
XANES features are discussed.
|
cond-mat.mtrl-sci cond-mat.other
|
this work reports a theoretical study of the xray absorption nearedge structure spectra at both the cu and the mn kedge in several cu_2mnm m al sn and in heusler alloys our results show that it abinitio singlechannel multiplescattering calculations are able of reproducing the experimental spectra moreover an extensive discussion is presented concerning the role of the final state potential needed to reproduce the experimental data of these halfmetallic alloys in particular the effects of the clustersize and of the exchange and correlation potential needed in reproducing all the experimental xanes features are discussed
|
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|
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|
706.4371
|
The VIMOS-VLT Deep Survey. The dependence of clustering on galaxy
stellar mass at z~1
|
Aims: We use the VVDS-Deep first-epoch data to measure the dependence of
galaxy clustering on galaxy stellar mass, at z~0.85.
Methods: We measure the projected correlation function wp(rp) for sub-samples
with 0.5<z<1.2 covering different mass ranges between 10^9 and 10^11 Msun. We
quantify in detail the observational selection biases using 40 mock catalogues
built from the Millennium run and semi-analytic models.
Results: Our simulations indicate that serious incompleteness in mass is
present only for log(M/Msun)<9.5. In the mass range log(M/Msun)=[9.0-9.5], the
photometric selection function of the VVDS misses 2/3rd of the galaxies. The
sample is virtually 100% complete above 10^10 Msun. We present the first direct
evidence for a clear dependence of clustering on the galaxy stellar mass at
z~0.85. The clustering length increases from r0 ~ 2.76 h^-1 Mpc for galaxies
with mass M>10^9 Msun to r0 ~ 4.28 h^-1 Mpc for galaxies more massive than
10^10.5 Msun. At the same time, the slope increases from ~ 1.67 to ~ 2.28.
A comparison of the observed wp(rp) to local measurements by the SDSS shows
that the evolution is faster for objects less massive than ~10^10.5 Msun. This
is interpreted as a higher dependence on redshift of the linear bias b_L for
the more massive objects. While for the most massive galaxies b_L decreases
from 1.5+/-0.2 at z~0.85 to 1.33+/-0.03 at z~0.15, the less massive population
maintains a virtually constant value b_L~1.3. This result is in agreement with
a scenario in which more massive galaxies formed at high redshift in the
highest peaks of the density field, while less massive objects form at later
epochs from the more general population of dark-matter halos.
|
astro-ph
|
aims we use the vvdsdeep firstepoch data to measure the dependence of galaxy clustering on galaxy stellar mass at z085 methods we measure the projected correlation function wprp for subsamples with 05z12 covering different mass ranges between 109 and 1011 msun we quantify in detail the observational selection biases using 40 mock catalogues built from the millennium run and semianalytic models results our simulations indicate that serious incompleteness in mass is present only for logmmsun95 in the mass range logmmsun9095 the photometric selection function of the vvds misses 23rd of the galaxies the sample is virtually 100 complete above 1010 msun we present the first direct evidence for a clear dependence of clustering on the galaxy stellar mass at z085 the clustering length increases from r0 276 h1 mpc for galaxies with mass m109 msun to r0 428 h1 mpc for galaxies more massive than 10105 msun at the same time the slope increases from 167 to 228 a comparison of the observed wprp to local measurements by the sdss shows that the evolution is faster for objects less massive than 10105 msun this is interpreted as a higher dependence on redshift of the linear bias b_l for the more massive objects while for the most massive galaxies b_l decreases from 1502 at z085 to 133003 at z015 the less massive population maintains a virtually constant value b_l13 this result is in agreement with a scenario in which more massive galaxies formed at high redshift in the highest peaks of the density field while less massive objects form at later epochs from the more general population of darkmatter halos
|
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|
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|
706.4372
|
Driving-dependent damping of Rabi oscillations in two-level
semiconductor systems
|
We propose a mechanism to explain the nature of the damping of Rabi
oscillations with increasing driving-pulse area in localized semiconductor
systems, and have suggested a general approach which describes a coherently
driven two-level system interacting with a dephasing reservoir. Present
calculations show that the non-Markovian character of the reservoir leads to
the dependence of the dephasing rate on the driving-field intensity, as
observed experimentally. Moreover, we have shown that the damping of Rabi
oscillations might occur as a result of different dephasing mechanisms for both
stationary and non-stationary effects due to coupling to the environment.
Present calculated results are found in quite good agreement with available
experimental measurements.
|
quant-ph
|
we propose a mechanism to explain the nature of the damping of rabi oscillations with increasing drivingpulse area in localized semiconductor systems and have suggested a general approach which describes a coherently driven twolevel system interacting with a dephasing reservoir present calculations show that the nonmarkovian character of the reservoir leads to the dependence of the dephasing rate on the drivingfield intensity as observed experimentally moreover we have shown that the damping of rabi oscillations might occur as a result of different dephasing mechanisms for both stationary and nonstationary effects due to coupling to the environment present calculated results are found in quite good agreement with available experimental measurements
|
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|
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|
706.4373
|
Neutrino Mixing based on Mass Matrices with a $2 \leftrightarrow 3$
Symmetry
|
Under the assumption that the $2\leftrightarrow 3$ symmetry is broken only
through phases, we give a systematical investigation of possible lepton mass
matrix forms without referring to the explicit parameter values. The two types
of the $2\leftrightarrow 3$ symmetry are investigated: one is that the left-
and right-handed fields $(f_L, f_R)$ obey the symmetry, and another one is that
only $f_L$ obeys the symmetry. In latter case, in spite of no $2\leftrightarrow
3$ symmetry in the Majorana mass matrix $M_R$ for $\nu_R$, the neutrino seesaw
mass matrix still obey the $2\leftrightarrow 3$ symmetry. Possible
phenomenologies are discussed.
|
hep-ph
|
under the assumption that the 2leftrightarrow 3 symmetry is broken only through phases we give a systematical investigation of possible lepton mass matrix forms without referring to the explicit parameter values the two types of the 2leftrightarrow 3 symmetry are investigated one is that the left and righthanded fields f_l f_r obey the symmetry and another one is that only f_l obeys the symmetry in latter case in spite of no 2leftrightarrow 3 symmetry in the majorana mass matrix m_r for nu_r the neutrino seesaw mass matrix still obey the 2leftrightarrow 3 symmetry possible phenomenologies are discussed
|
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|
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|
706.4374
|
Filamentation instability in a quantum plasma
|
The growth rate of the filamentation instability triggered when a diluted
cold electron beam passes through a cold plasma is evaluated using the quantum
hydrodynamic equations. Compared with a cold fluid model, quantum effects
reduce both the unstable wave vector domain and the maximum growth rate.
Stabilization of large wave vector modes is always achieved, but significant
reduction of the maximum growth rate depends on a dimensionless parameter that
is provided. Although calculations are extended to the relativistic regime,
they are mostly relevant to the non-relativistic one.
|
physics.plasm-ph astro-ph physics.space-ph
|
the growth rate of the filamentation instability triggered when a diluted cold electron beam passes through a cold plasma is evaluated using the quantum hydrodynamic equations compared with a cold fluid model quantum effects reduce both the unstable wave vector domain and the maximum growth rate stabilization of large wave vector modes is always achieved but significant reduction of the maximum growth rate depends on a dimensionless parameter that is provided although calculations are extended to the relativistic regime they are mostly relevant to the nonrelativistic one
|
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|
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|
706.4375
|
A Robust Linguistic Platform for Efficient and Domain specific Web
Content Analysis
|
Web semantic access in specific domains calls for specialized search engines
with enhanced semantic querying and indexing capacities, which pertain both to
information retrieval (IR) and to information extraction (IE). A rich
linguistic analysis is required either to identify the relevant semantic units
to index and weight them according to linguistic specific statistical
distribution, or as the basis of an information extraction process. Recent
developments make Natural Language Processing (NLP) techniques reliable enough
to process large collections of documents and to enrich them with semantic
annotations. This paper focuses on the design and the development of a text
processing platform, Ogmios, which has been developed in the ALVIS project. The
Ogmios platform exploits existing NLP modules and resources, which may be tuned
to specific domains and produces linguistically annotated documents. We show
how the three constraints of genericity, domain semantic awareness and
performance can be handled all together.
|
cs.AI
|
web semantic access in specific domains calls for specialized search engines with enhanced semantic querying and indexing capacities which pertain both to information retrieval ir and to information extraction ie a rich linguistic analysis is required either to identify the relevant semantic units to index and weight them according to linguistic specific statistical distribution or as the basis of an information extraction process recent developments make natural language processing nlp techniques reliable enough to process large collections of documents and to enrich them with semantic annotations this paper focuses on the design and the development of a text processing platform ogmios which has been developed in the alvis project the ogmios platform exploits existing nlp modules and resources which may be tuned to specific domains and produces linguistically annotated documents we show how the three constraints of genericity domain semantic awareness and performance can be handled all together
|
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|
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|
706.4376
|
Transmission-line networks cloaking objects from electromagnetic fields
|
We consider a novel method of cloaking objects from the surrounding
electromagnetic fields in the microwave region. The method is based on
transmission-line networks that simulate the wave propagation in the medium
surrounding the cloaked object. The electromagnetic fields from the surrounding
medium are coupled into the transmission-line network that guides the waves
through the cloak thus leaving the cloaked object undetected. The cloaked
object can be an array or interconnected mesh of small inclusions that fit
inside the transmission-line network.
|
physics.class-ph
|
we consider a novel method of cloaking objects from the surrounding electromagnetic fields in the microwave region the method is based on transmissionline networks that simulate the wave propagation in the medium surrounding the cloaked object the electromagnetic fields from the surrounding medium are coupled into the transmissionline network that guides the waves through the cloak thus leaving the cloaked object undetected the cloaked object can be an array or interconnected mesh of small inclusions that fit inside the transmissionline network
|
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|
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|
706.4377
|
Discovery of the Pre-Main Sequence Population of the Stellar Association
LH 95 in the Large Magellanic Cloud with Hubble Space Telescope ACS
Observations
|
We report the discovery of an extraordinary number of pre-main sequence (PMS)
stars in the vicinity of the stellar association LH 95 in the Large Magellanic
Cloud (LMC). Using the {\em Advanced Camera for Surveys} on-board the {\em
Hubble} Space Telescope in wide-field mode we obtained deep high-resolution
imaging of the main body of the association and of a nearby representative LMC
background field. These observations allowed us to construct the
color-magnitude diagram (CMD) of the association in unprecedented detail, and
to decontaminate the CMD for the average LMC stellar population. The most
significant result is the direct detection of a substantial population of PMS
stars and their clustering properties with respect to the distribution of the
higher mass members of the association. Although LH 95 represents a rather
modest star forming region, our photometry, with a detection limit $V$ \lsim 28
mag, reveals in its vicinity more than 2,500 PMS stars with masses down to
$\sim 0.3$ M{\solar}. Our observations offer, thus, a new perspective of a
typical LMC association: The stellar content of LH 95 is found to extend from
bright OB stars to faint red PMS stars, suggesting a fully populated Initial
Mass Function (IMF) from the massive blue giants down to the sub-solar mass
regime.
|
astro-ph
|
we report the discovery of an extraordinary number of premain sequence pms stars in the vicinity of the stellar association lh 95 in the large magellanic cloud lmc using the em advanced camera for surveys onboard the em hubble space telescope in widefield mode we obtained deep highresolution imaging of the main body of the association and of a nearby representative lmc background field these observations allowed us to construct the colormagnitude diagram cmd of the association in unprecedented detail and to decontaminate the cmd for the average lmc stellar population the most significant result is the direct detection of a substantial population of pms stars and their clustering properties with respect to the distribution of the higher mass members of the association although lh 95 represents a rather modest star forming region our photometry with a detection limit v lsim 28 mag reveals in its vicinity more than 2500 pms stars with masses down to sim 03 msolar our observations offer thus a new perspective of a typical lmc association the stellar content of lh 95 is found to extend from bright ob stars to faint red pms stars suggesting a fully populated initial mass function imf from the massive blue giants down to the subsolar mass regime
|
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|
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|
706.4378
|
Magnetic solutions in AdS$_5$ and trace anomalies
|
We discuss black hole and black string solutions in d=5 Einstein-Yang-Mills
theory with negative cosmological constant, proposing a method to compute their
mass and action. The magnetic gauge field of these configurations does not
vanish at infinity. We argue that this implies a nonvanishing trace for the
stress tensor of the dual d=4 theory.
|
hep-th
|
we discuss black hole and black string solutions in d5 einsteinyangmills theory with negative cosmological constant proposing a method to compute their mass and action the magnetic gauge field of these configurations does not vanish at infinity we argue that this implies a nonvanishing trace for the stress tensor of the dual d4 theory
|
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|
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|
706.4379
|
Quartic equations and 2-division on elliptic curves
|
Let K be a field of characteristic different from 2 and C an elliptic curve
over K given by a Weierstrass equation. To divide an element of the group C by
2, one must solve a certain quartic equation. We characterise the quartics
arising from this procedure and find how far the quartic determines the curve
and the point. We find the quartics coming from 2-division of 2- and 3-torsion
points, and generalise this correspondence to singular plane cubics. We use
these results to study the question of which degree 4 maps of curves can be
realised as duplication of a multisection on an elliptic surface.
|
math.AG
|
let k be a field of characteristic different from 2 and c an elliptic curve over k given by a weierstrass equation to divide an element of the group c by 2 one must solve a certain quartic equation we characterise the quartics arising from this procedure and find how far the quartic determines the curve and the point we find the quartics coming from 2division of 2 and 3torsion points and generalise this correspondence to singular plane cubics we use these results to study the question of which degree 4 maps of curves can be realised as duplication of a multisection on an elliptic surface
|
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|
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|
706.438
|
Prospects of Jet Tomography Using Hard Processes inside a Soft Medium
|
The term 'tomography' is commonly applied to the idea of studying properties
of a medium by the modifications this medium induces to a known probe
propagating through it. In the context of ultrarelativistic heavy-ion
collisions, rare high transverse momentum (p_T) processes taking place
alongside soft bulk-matter production can be viewed as a tomographic probe as
long as the energy scales are such that the modification of high p_T processes
can be dominantly ascribed to interactions with the medium during the
propagation of partons. Various high p_T observables have been suggested for
tomography, among them hard single hadron suppression, dihadron correlations
and gamma-hadron correlations. In this paper, we present a model study of a
number of different observables within the same calculational framework to
assess the sensitivity of the observables to different properties of the medium
and discuss the prospects of obtaining tomographic information.
|
hep-ph
|
the term tomography is commonly applied to the idea of studying properties of a medium by the modifications this medium induces to a known probe propagating through it in the context of ultrarelativistic heavyion collisions rare high transverse momentum p_t processes taking place alongside soft bulkmatter production can be viewed as a tomographic probe as long as the energy scales are such that the modification of high p_t processes can be dominantly ascribed to interactions with the medium during the propagation of partons various high p_t observables have been suggested for tomography among them hard single hadron suppression dihadron correlations and gammahadron correlations in this paper we present a model study of a number of different observables within the same calculational framework to assess the sensitivity of the observables to different properties of the medium and discuss the prospects of obtaining tomographic information
|
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|
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|
706.4381
|
Neutrino Emission From Direct Urca Processes in Pion Condensed Quark
Matter
|
We study neutrino emission from direct Urca processes in pion condensed quark
matter. In compact stars with high baryon density, the emission is dominated by
the gapless modes of the pion condensation which leads to an enhanced
emissivity. While for massless quarks the enhancement is not remarkable, the
emissivity is significantly larger and the cooling of the condensed matter is
considerably faster than that in normal quark matter when the mass difference
between $u$- and $d$-quarks is sizable.
|
hep-ph astro-ph nucl-th
|
we study neutrino emission from direct urca processes in pion condensed quark matter in compact stars with high baryon density the emission is dominated by the gapless modes of the pion condensation which leads to an enhanced emissivity while for massless quarks the enhancement is not remarkable the emissivity is significantly larger and the cooling of the condensed matter is considerably faster than that in normal quark matter when the mass difference between u and dquarks is sizable
|
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|
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|
706.4382
|
Inclusive Jet Production in Photon-Photon Collisions at sqrt(s_ee) from
189 to 209 GeV
|
Inclusive jet production (e+e- -> e+e- +jet+X) is studied in collisions of
quasi-real photons radiated by the LEP beams at e+e- centre-of-mass energies
sqrt see from 189 to 209 GeV. Jets are reconstructed using the kp jet
algorithm. The inclusive differential cross-section is measured as a function
of the jet transverse momentum, ptjet, in the range 5 <ptjet < 40 GeV for
pseudo-rapidities, etaj, in the range -1.5 < etaj < 1.5. The results are
compared to predictions of perturbative QCD in next-to-leading order in the
strong coupling constant.
|
hep-ex
|
inclusive jet production ee ee jetx is studied in collisions of quasireal photons radiated by the lep beams at ee centreofmass energies sqrt see from 189 to 209 gev jets are reconstructed using the kp jet algorithm the inclusive differential crosssection is measured as a function of the jet transverse momentum ptjet in the range 5 ptjet 40 gev for pseudorapidities etaj in the range 15 etaj 15 the results are compared to predictions of perturbative qcd in nexttoleading order in the strong coupling constant
|
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|
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|
706.4383
|
Gauge invariant Boltzmann equation and the fluid limit
|
This article investigates the collisionless Boltzmann equation up to second
order in the cosmological perturbations. It describes the gauge dependence of
the distribution function and the construction of a gauge invariant
distribution function and brightness, and then derives the gauge invariant
fluid limit.
|
gr-qc astro-ph
|
this article investigates the collisionless boltzmann equation up to second order in the cosmological perturbations it describes the gauge dependence of the distribution function and the construction of a gauge invariant distribution function and brightness and then derives the gauge invariant fluid limit
|
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|
[-0.1543141007856574, 0.15089356331804463, -0.16514142917274216, 0.09528319590432613, -0.084893706969397, -0.039200610069687974, -0.04135293437731127, 0.2542156921699643, -0.2828142347117496, -0.315041632738051, 0.010087148337841554, -0.2565924517463806, -0.12121715310008027, 0.04529501574633773, 0.0009993756254918355, 0.1257246744190884, -0.02682206573961086, 0.010635184470650762, -0.10405765951416174, -0.24837533434376466, 0.38447057178547217, 0.07879545388006887, 0.31504731997847557, 0.03265306297256503, 0.2094299362885744, 0.014130150888461706, -0.07027332424077877, -0.06528802666553231, -0.20116249274809, 0.05154722508822763, 0.13735485849137213, 0.04403585814979187, 0.20081739741659096, -0.3337740324610888, -0.18439518499423663, 0.07939640304810086, 0.14424894381920958, 0.1461459318565768, 0.005937380737863308, -0.25540221311411887, 0.054748886459788614, -0.18366964135405628, -0.17462724780252334, -0.047951363070413124, -2.0955927496732668e-05, -0.007407217481455138, -0.2645178102606604, 0.12089517914018659, 0.06695372717411713, 0.03630554948955081, -0.0793675153061401, -0.03776326976976423, -0.001150094232586927, 0.03347538484173805, 0.13619129515664521, 0.0921086210237686, 0.1539577742345458, -0.19754909080193314, 0.0005880365429749323, 0.4477976534602254, -0.15445876127206395, -0.2541009953548742, 0.12557933273790187, -0.19704560814208763, -0.14694897477450067, 0.07593485449852291, 0.17161599191468815, 0.10078683079675187, -0.18305528805006382, 0.18569735030042614, -0.029817291318850463, 0.11170557069830424, 0.08069011681648187, -0.009820263226364935, 0.21231718720911547, 0.09451821225500384, 0.05477166275472142, 0.1510191495681918, -0.03609381769892088, -0.13142388478614564, -0.38925012127431324, -0.16666683377657454, -0.1984796739334977, 0.09445043241735114, -0.09472080921046273, -0.20378906444408174, 0.45185379580009816, 0.17187898978590965, 0.16315943701192737, 0.13018429106058077, 0.2531357083556264, 0.18967003228012905, -0.009191478970785474, 0.09663461560253488, 0.18021409368537755, 0.20882602149707286, 0.10041562758039596, -0.2455220275706081, -0.020048204798597927, 0.11846799427253563]
|
706.4384
|
Resistance without resistors: An anomaly
|
The elementary 2-terminal network consisting of a resistively ($R-$) shunted
inductance ($L$) in series with a capacitatively ($C-$) shunted resistance
($R$) with $R = \sqrt{L/C}$, is known for its non-dispersive dissipative
response, $i.e.,$ with the input impedance $Z_0(\omega) = R$, independent of
the frequency ($\omega$). In this communication we examine the properties of a
novel equivalent network derived iteratively from this 2-terminal network by
replacing everywhere the elemental resistive part $R$ with the whole 2-terminal
network. This replacement suggests a recursion $Z_{n+1}(\omega) =
f(Z_n(\omega))$, with the recursive function $f(z) = (i\omega Lz/i\omega L + z)
+ (z/1+i\omega Cz)$. The recursive map has two fixed points -- an unstable
fixed point $Z_u^\star = 0$, and a stable fixed point $Z_s^\star = R$. Thus,
resistances at the boundary terminating the infinitely iterated network can now
be made arbitrarily small without changing the input impedance $Z_\infty (=
R)$. This, therefore, leads to realizing in the limit $n\to\infty$ an
effectively dissipative network comprising essentially non-dissipative reactive
elements ($L$ and $C$) only. Hence the oxymoron -- resistance without
resistors! This is best viewed as a classical anomaly akin to the one
encountered in turbulence. Possible application as a formal decoherence device
-- the {\it fake channel} -- is briefly discussed for its quantum analogue.
|
cond-mat.dis-nn cond-mat.mes-hall
|
the elementary 2terminal network consisting of a resistively r shunted inductance l in series with a capacitatively c shunted resistance r with r sqrtlc is known for its nondispersive dissipative response ie with the input impedance z_0omega r independent of the frequency omega in this communication we examine the properties of a novel equivalent network derived iteratively from this 2terminal network by replacing everywhere the elemental resistive part r with the whole 2terminal network this replacement suggests a recursion z_n1omega fz_nomega with the recursive function fz iomega lziomega l z z1iomega cz the recursive map has two fixed points an unstable fixed point z_ustar 0 and a stable fixed point z_sstar r thus resistances at the boundary terminating the infinitely iterated network can now be made arbitrarily small without changing the input impedance z_infty r this therefore leads to realizing in the limit ntoinfty an effectively dissipative network comprising essentially nondissipative reactive elements l and c only hence the oxymoron resistance without resistors this is best viewed as a classical anomaly akin to the one encountered in turbulence possible application as a formal decoherence device the it fake channel is briefly discussed for its quantum analogue
|
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|
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|
706.4385
|
The chiral and flavour projection of Dirac-Kahler fermions in the
geometric discretization
|
It is shown that an exact chiral symmetry can be described for Dirac-Kahler
fermions using the two complexes of the geometric discretization. This
principle is extended to describe exact flavour projection and it is shown that
this necessitates the introduction of a new operator and two new structures of
complex. To describe simultaneous chiral and flavour projection, eight
complexes are needed in all and it is shown that projection leaves a single
flavour of chiral field on each.
|
hep-lat
|
it is shown that an exact chiral symmetry can be described for dirackahler fermions using the two complexes of the geometric discretization this principle is extended to describe exact flavour projection and it is shown that this necessitates the introduction of a new operator and two new structures of complex to describe simultaneous chiral and flavour projection eight complexes are needed in all and it is shown that projection leaves a single flavour of chiral field on each
|
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|
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|
706.4386
|
The order-disorder transition in colloidal suspensions under shear flow
|
We study the order-disorder transition in colloidal suspensions under shear
flow by performing Brownian dynamics simulations. We characterize the
transition in terms of a statistical property of time-dependent maximum value
of the structure factor. We find that its power spectrum exhibits the power-law
behaviour only in the ordered phase. The power-law exponent is approximately -2
at frequencies greater than the magnitude of the shear rate, while the power
spectrum exhibits the $1 / f$-type fluctuations in the lower frequency regime.
|
cond-mat.stat-mech cond-mat.soft
|
we study the orderdisorder transition in colloidal suspensions under shear flow by performing brownian dynamics simulations we characterize the transition in terms of a statistical property of timedependent maximum value of the structure factor we find that its power spectrum exhibits the powerlaw behaviour only in the ordered phase the powerlaw exponent is approximately 2 at frequencies greater than the magnitude of the shear rate while the power spectrum exhibits the 1 ftype fluctuations in the lower frequency regime
|
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|
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|
706.4387
|
Particle Ratios at High p_T at LHC Energies
|
Hadron production has been calculated in a pQCD improved parton model for pp,
dA and heavy ion collisions. We applied KKP and AKK fragmentation functions.
Our jet fragmentation study shows, that hadron ratios at high p_T depend on
quark contribution mostly and less on the gluonic one. This finding can be seen
in jet-energy loss calculations, also. We display the suppression pattern on
different hadron ratios in PbPb collisions at LHC energies.
|
hep-ph
|
hadron production has been calculated in a pqcd improved parton model for pp da and heavy ion collisions we applied kkp and akk fragmentation functions our jet fragmentation study shows that hadron ratios at high p_t depend on quark contribution mostly and less on the gluonic one this finding can be seen in jetenergy loss calculations also we display the suppression pattern on different hadron ratios in pbpb collisions at lhc energies
|
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|
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|
706.4388
|
A precessing accretion disc in the intermediate polar XY Ari?
|
XY Ari is the only intermediate polar to show deep X-ray eclipses of its
white dwarf. Previously published observations with Ginga and Chandra have also
revealed a broad X-ray orbital modulation, roughly antiphased with the eclipse,
and presumed to be due to absorption in an extended structure near the edge of
an accretion disc. The X-ray pulse profile is generally seen to be
double-peaked, although a single-peaked pulse was seen by RXTE during an
outburst in 1996.We intended to investigate the cause of the broad orbital
modulation in XY Ari to better understand the accretion flow in this system and
other intermediate polars. We observed XY Ari with RXTE and analysed previously
unpublished archival observations of the system made with ASCA and XMM-Newton.
These observations comprise six separate visits and span about ten years. The
various X-ray observations show that the broad orbital modulation varies in
phase and significance, then ultimately disappears entirely in the last few
years. In addition, the X-ray pulse profile shows variations in depth and
shape, and in the recent RXTE observations displays no evidence for changes in
hardness ratio. The observed changes indicates that both the pulse profile and
the orbital modulation are solely due to geometrical effects at the time of the
RXTE observations, rather than phase-dependent variations in photoelectric
absorption as seen previously. We suggest that this is evidence for a
precessing, tilted accretion disc in this system. The precession of the disc
moves structures out of our line of sight both at its outer edge (changing the
orbital modulation) and at its inner edge where the accretion curtains are
anchored (changing the pulse profile).
|
astro-ph
|
xy ari is the only intermediate polar to show deep xray eclipses of its white dwarf previously published observations with ginga and chandra have also revealed a broad xray orbital modulation roughly antiphased with the eclipse and presumed to be due to absorption in an extended structure near the edge of an accretion disc the xray pulse profile is generally seen to be doublepeaked although a singlepeaked pulse was seen by rxte during an outburst in 1996we intended to investigate the cause of the broad orbital modulation in xy ari to better understand the accretion flow in this system and other intermediate polars we observed xy ari with rxte and analysed previously unpublished archival observations of the system made with asca and xmmnewton these observations comprise six separate visits and span about ten years the various xray observations show that the broad orbital modulation varies in phase and significance then ultimately disappears entirely in the last few years in addition the xray pulse profile shows variations in depth and shape and in the recent rxte observations displays no evidence for changes in hardness ratio the observed changes indicates that both the pulse profile and the orbital modulation are solely due to geometrical effects at the time of the rxte observations rather than phasedependent variations in photoelectric absorption as seen previously we suggest that this is evidence for a precessing tilted accretion disc in this system the precession of the disc moves structures out of our line of sight both at its outer edge changing the orbital modulation and at its inner edge where the accretion curtains are anchored changing the pulse profile
|
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|
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|
706.4389
|
Calculation of the atmospheric muon flux motivated by the ATIC-2
experiment
|
We calculate the cosmic ray muon flux at ground level using directly the
primary cosmic ray spectrum and composition measured in the ATIC-2 balloon
experiment. In order to extend the calculations to high energies, up to 100
TeV, we use the data of the GAMMA experiment as well as Zatsepin and Sokolskaya
model. This model, supported by the ATIC-2 data, comprises contributions to the
cosmic ray flux of three classes of astrophysical sources - the shocks from
exploding stars, nova and supernova of different types. The muon flux
computation is based on the method for solution of atmospheric hadron cascade
equations in which rising total inelastic cross-sections of hadron-nuclear
interactions as well as non-power-law character of the primary cosmic ray
spectrum are taken into account. The calculated muon spectrum agrees well with
measurements of L3+Cosmic and BESS-TeV, CAPRICE, Frejus, MACRO, LVD as well as
other experiments.
|
astro-ph hep-ex
|
we calculate the cosmic ray muon flux at ground level using directly the primary cosmic ray spectrum and composition measured in the atic2 balloon experiment in order to extend the calculations to high energies up to 100 tev we use the data of the gamma experiment as well as zatsepin and sokolskaya model this model supported by the atic2 data comprises contributions to the cosmic ray flux of three classes of astrophysical sources the shocks from exploding stars nova and supernova of different types the muon flux computation is based on the method for solution of atmospheric hadron cascade equations in which rising total inelastic crosssections of hadronnuclear interactions as well as nonpowerlaw character of the primary cosmic ray spectrum are taken into account the calculated muon spectrum agrees well with measurements of l3cosmic and besstev caprice frejus macro lvd as well as other experiments
|
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|
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|
706.439
|
On Hamiltonian stationary Lagrangian spheres in non-Einstein Kaehler
surfaces
|
Hamiltonian stationary Lagrangian spheres in Kaehler-Einstein surfaces are
minimal. We prove that in the family of non-Einstein Kaehler surfaces given by
the product $\Sigma_1\times\Sigma_2$ of two complete orientable Riemannian
surfaces of different constant Gauss curvatures, there is only a (non minimal)
Hamiltonian stationary Lagrangian sphere. This example is defined when the
surfaces $\Sigma_1$ and $ \Sigma_2$ are spheres.
|
math.DG
|
hamiltonian stationary lagrangian spheres in kaehlereinstein surfaces are minimal we prove that in the family of noneinstein kaehler surfaces given by the product sigma_1timessigma_2 of two complete orientable riemannian surfaces of different constant gauss curvatures there is only a non minimal hamiltonian stationary lagrangian sphere this example is defined when the surfaces sigma_1 and sigma_2 are spheres
|
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|
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|
706.4391
|
Cavity method for quantum spin glasses on the Bethe lattice
|
We propose a generalization of the cavity method to quantum spin glasses on
fixed connectivity lattices. Our work is motivated by the recent refinements of
the classical technique and its potential application to quantum computational
problems. We numerically solve for the phase structure of a connectivity $q=3$
transverse field Ising model on a Bethe lattice with $\pm J$ couplings, and
investigate the distribution of various classical and quantum observables.
|
cond-mat.stat-mech cond-mat.dis-nn
|
we propose a generalization of the cavity method to quantum spin glasses on fixed connectivity lattices our work is motivated by the recent refinements of the classical technique and its potential application to quantum computational problems we numerically solve for the phase structure of a connectivity q3 transverse field ising model on a bethe lattice with pm j couplings and investigate the distribution of various classical and quantum observables
|
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|
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|
706.4392
|
Vector Meson production from NLL BFKL
|
The amplitude for the forward electroproduction of two light vector mesons
can be written completely within perturbative QCD in the Regge limit with
next-to-leading accuracy, thus providing the first example of a physical
application of the BFKL approach at the next-to-leading order. We study in the
case of equal photon virtualities the main systematic effects, by considering a
different representation of the amplitude and different optimization methods of
the perturbative series.
|
hep-ph
|
the amplitude for the forward electroproduction of two light vector mesons can be written completely within perturbative qcd in the regge limit with nexttoleading accuracy thus providing the first example of a physical application of the bfkl approach at the nexttoleading order we study in the case of equal photon virtualities the main systematic effects by considering a different representation of the amplitude and different optimization methods of the perturbative series
|
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|
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|
706.4393
|
$\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction:
coupled-channel Faddeev calculations of the $\bar{K}NN - \pi \Sigma N$ system
|
Coupled-channel three-body calculations of an $I=1/2$, $J^{\pi}=0^-$
$\bar{K}NN$ quasi-bound state in the $\bar{K}NN - \pi \Sigma N$ system were
performed and the dependence of the resulting three-body energy on the two-body
$\bar{K}N - \pi \Sigma$ interaction was investigated. Earlier results of
binding energy $B_{K^-pp} \sim 50 -70$ MeV and width $\Gamma_{K^-pp} \sim 100$
MeV are confirmed [N.V. Shevchenko {\it et al.}, Phys. Rev. Lett. {\bf 98},
082301 (2007)]. It is shown that a suitably constructed energy-independent
complex $\bar{K}N$ potential gives a considerably shallower and narrower
three-body quasi-bound state than the full coupled-channel calculation.
Comparison with other calculations is made.
|
nucl-th
|
coupledchannel threebody calculations of an i12 jpi0 barknn quasibound state in the barknn pi sigma n system were performed and the dependence of the resulting threebody energy on the twobody barkn pi sigma interaction was investigated earlier results of binding energy b_kpp sim 50 70 mev and width gamma_kpp sim 100 mev are confirmed nv shevchenko it et al phys rev lett bf 98 082301 2007 it is shown that a suitably constructed energyindependent complex barkn potential gives a considerably shallower and narrower threebody quasibound state than the full coupledchannel calculation comparison with other calculations is made
|
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|
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|
706.4394
|
Improvements on removing non-optimal support points in D-optimum design
algorithms
|
We improve the inequality used in Pronzato [2003. Removing non-optimal
support points in D-optimum design algorithms. Statist. Probab. Lett. 63,
223-228] to remove points from the design space during the search for a
$D$-optimum design. Let $\xi$ be any design on a compact space $\mathcal{X}
\subset \mathbb{R}^m$ with a nonsingular information matrix, and let
$m+\epsilon$ be the maximum of the variance function $d(\xi,\mathbf{x})$ over
all $\mathbf{x} \in \mathcal{X}$. We prove that any support point
$\mathbf{x}_{*}$ of a $D$-optimum design on $\mathcal{X}$ must satisfy the
inequality $d(\xi,\mathbf{x}_{*}) \geq
m(1+\epsilon/2-\sqrt{\epsilon(4+\epsilon-4/m)}/2)$. We show that this new lower
bound on $d(\xi,\mathbf{x}_{*})$ is, in a sense, the best possible, and how it
can be used to accelerate algorithms for $D$-optimum design.
|
math.ST stat.TH
|
we improve the inequality used in pronzato 2003 removing nonoptimal support points in doptimum design algorithms statist probab lett 63 223228 to remove points from the design space during the search for a doptimum design let xi be any design on a compact space mathcalx subset mathbbrm with a nonsingular information matrix and let mepsilon be the maximum of the variance function dximathbfx over all mathbfx in mathcalx we prove that any support point mathbfx_ of a doptimum design on mathcalx must satisfy the inequality dximathbfx_ geq m1epsilon2sqrtepsilon4epsilon4m2 we show that this new lower bound on dximathbfx_ is in a sense the best possible and how it can be used to accelerate algorithms for doptimum design
|
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|
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|
706.4395
|
The distribution of free path lengths in the periodic Lorentz gas and
related lattice point problems
|
The periodic Lorentz gas describes the dynamics of a point particle in a
periodic array of spherical scatterers, and is one of the fundamental models
for chaotic diffusion. In the present paper we investigate the Boltzmann-Grad
limit, where the radius of each scatterer tends to zero, and prove the
existence of a limiting distribution for the free path length of the periodic
Lorentz gas. We also discuss related problems, such as the statistical
distribution of directions of lattice points that are visible from a fixed
position.
|
math.DS math-ph math.MP math.NT
|
the periodic lorentz gas describes the dynamics of a point particle in a periodic array of spherical scatterers and is one of the fundamental models for chaotic diffusion in the present paper we investigate the boltzmanngrad limit where the radius of each scatterer tends to zero and prove the existence of a limiting distribution for the free path length of the periodic lorentz gas we also discuss related problems such as the statistical distribution of directions of lattice points that are visible from a fixed position
|
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|
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|
706.4396
|
Silver staining of proteins in polyacrylamide gels
|
Silver staining is used to detect proteins after electrophoretic separation
on polyacrylamide gels. It combines excellent sensitivity (in the low nanogram
range) with the use of very simple and cheap equipment and chemicals. It is
compatible with downstream processing, such as mass spectrometry analysis after
protein digestion. The sequential phases of silver staining are protein
fixation, then sensitization, then silver impregnation and finally image
development. Several variants of silver staining are described here, which can
be completed in a time range from 2 h to 1 d after the end of the
electrophoretic separation. Once completed, the stain is stable for several
weeks.
|
q-bio.GN
|
silver staining is used to detect proteins after electrophoretic separation on polyacrylamide gels it combines excellent sensitivity in the low nanogram range with the use of very simple and cheap equipment and chemicals it is compatible with downstream processing such as mass spectrometry analysis after protein digestion the sequential phases of silver staining are protein fixation then sensitization then silver impregnation and finally image development several variants of silver staining are described here which can be completed in a time range from 2 h to 1 d after the end of the electrophoretic separation once completed the stain is stable for several weeks
|
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|
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|
706.4397
|
Egorov property in perturbed cat map
|
We study the time evolution of the quantum-classical correspondence (QCC) for
the well known model of quantised perturbed cat maps on the torus in the very
specific regime of semi-classically small perturbations. The quality of the QCC
is measured by the overlap of classical phase-space density and corresponding
Wigner function of the quantum system called quantum-classical fidelity (QCF).
In the analysed regime the QCF strongly deviates from the known general
behaviour in particular it decays faster then exponential. Here we study and
explain the observed behavior of the QCF and the apparent violation of the QCC
principle.
|
quant-ph
|
we study the time evolution of the quantumclassical correspondence qcc for the well known model of quantised perturbed cat maps on the torus in the very specific regime of semiclassically small perturbations the quality of the qcc is measured by the overlap of classical phasespace density and corresponding wigner function of the quantum system called quantumclassical fidelity qcf in the analysed regime the qcf strongly deviates from the known general behaviour in particular it decays faster then exponential here we study and explain the observed behavior of the qcf and the apparent violation of the qcc principle
|
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|
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|
706.4398
|
Strong-Coupling Superconductivity of CeIrSi$_3$ with the
Non-centrosymmetric Crystal Structure
|
We studied the pressure-induced superconductor CeIrSi$_3$ with the
non-centrosymmetric tetragonal structure under high pressure. The electrical
resistivity and ac heat capacity were measured in the same run for the same
sample. The critical pressure was determined to be $P_{\rm c}$ = 2.25 GPa,
where the antiferromagnetic state disappears. The heat capacity $C_{\rm ac}$
shows both antiferromagnetic and superconducting transitions at pressures close
to $P_{\rm c}$. On the other hand, the superconducting region is extended to
high pressures of up to about 3.5 GPa, with the maximum transition temperature
$T_{\rm sc}$ = 1.6 K around $2.5-2.7$ GPa. At 2.58 GPa, a large heat capacity
anomaly was observed at $T_{\rm sc}$ = 1.59 K. The jump of the heat capacity in
the form of ${\Delta}{C_{\rm ac}}/C_{\rm ac}(T_{\rm sc})$ is 5.7 $\pm$ 0.1.
This is the largest observed value among previously reported superconductors,
indicating the strong-coupling superconductivity. The electronic specific heat
coefficient at $T_{\rm sc}$ is, however, approximately unchanged as a function
of pressure, even at $P_{\rm c}$.
|
cond-mat.str-el
|
we studied the pressureinduced superconductor ceirsi_3 with the noncentrosymmetric tetragonal structure under high pressure the electrical resistivity and ac heat capacity were measured in the same run for the same sample the critical pressure was determined to be p_rm c 225 gpa where the antiferromagnetic state disappears the heat capacity c_rm ac shows both antiferromagnetic and superconducting transitions at pressures close to p_rm c on the other hand the superconducting region is extended to high pressures of up to about 35 gpa with the maximum transition temperature t_rm sc 16 k around 2527 gpa at 258 gpa a large heat capacity anomaly was observed at t_rm sc 159 k the jump of the heat capacity in the form of deltac_rm acc_rm act_rm sc is 57 pm 01 this is the largest observed value among previously reported superconductors indicating the strongcoupling superconductivity the electronic specific heat coefficient at t_rm sc is however approximately unchanged as a function of pressure even at p_rm c
|
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|
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|
706.4399
|
A criterion for entanglement in two two-level systems
|
We prove a necessary and sufficient condition for the occurrence of
entanglement in two two-level systems, simple enough to be of experimental
interest. Our results are illustrated in the context of a spin star system
analyzing the exact entanglement evolution of the central couple of spins.
|
quant-ph
|
we prove a necessary and sufficient condition for the occurrence of entanglement in two twolevel systems simple enough to be of experimental interest our results are illustrated in the context of a spin star system analyzing the exact entanglement evolution of the central couple of spins
|
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|
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|
706.44
|
Albert Einstein - a Pious Atheist
|
We consider Einstein's attitude with regard to religion both from
sociological and epistemological points of view. An attempt to put it into a
wider socio-historical perspective has been made, with the emphasis on his
ethnic and religious background. The great scientist was neither anatheist nor
a believer in the orthodox sense and the closest labels one might apply would
be pantheism/cosmism (ontological view) and agnosticism (epistemological view).
His ideas on the divine could be considered as a continuation of a line that
can be traced back to Philo of Alexandria, who himself followed the Greek
Stoics and Neoplatonists and especially Baruch Spinoza. Einstein's scientific
(or rational) and religious (or intuitive) thinking was deeply rooted in the
Hellenic culture.
|
physics.hist-ph physics.gen-ph
|
we consider einsteins attitude with regard to religion both from sociological and epistemological points of view an attempt to put it into a wider sociohistorical perspective has been made with the emphasis on his ethnic and religious background the great scientist was neither anatheist nor a believer in the orthodox sense and the closest labels one might apply would be pantheismcosmism ontological view and agnosticism epistemological view his ideas on the divine could be considered as a continuation of a line that can be traced back to philo of alexandria who himself followed the greek stoics and neoplatonists and especially baruch spinoza einsteins scientific or rational and religious or intuitive thinking was deeply rooted in the hellenic culture
|
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|
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|
706.4401
|
Dynamics of DNA-breathing: Weak noise analysis, finite time singularity,
and mapping onto the quantum Coulomb problem
|
We study the dynamics of denaturation bubbles in double-stranded DNA on the
basis of the Poland-Scheraga model. We show that long time distributions for
the survival of DNA bubbles and the size autocorrelation function can be
derived from an asymptotic weak noise approach. In particular, below the
melting temperature the bubble closure corresponds to a noisy finite time
singularity. We demonstrate that the associated Fokker-Planck equation is
equivalent to a quantum Coulomb problem. Below the melting temperature the
bubble lifetime is associated with the continuum of scattering states of the
repulsive Coulomb potential; at the melting temperature the Coulomb potential
vanishes and the underlying first exit dynamics exhibits a long time power law
tail; above the melting temperature, corresponding to an attractive Coulomb
potential, the long time dynamics is controlled by the lowest bound state.
Correlations and finite size effects are discussed.
|
cond-mat.stat-mech cond-mat.soft
|
we study the dynamics of denaturation bubbles in doublestranded dna on the basis of the polandscheraga model we show that long time distributions for the survival of dna bubbles and the size autocorrelation function can be derived from an asymptotic weak noise approach in particular below the melting temperature the bubble closure corresponds to a noisy finite time singularity we demonstrate that the associated fokkerplanck equation is equivalent to a quantum coulomb problem below the melting temperature the bubble lifetime is associated with the continuum of scattering states of the repulsive coulomb potential at the melting temperature the coulomb potential vanishes and the underlying first exit dynamics exhibits a long time power law tail above the melting temperature corresponding to an attractive coulomb potential the long time dynamics is controlled by the lowest bound state correlations and finite size effects are discussed
|
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|
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|
706.4402
|
Thermal gradient-induced forces on geodetic reference masses for LISA
|
The low frequency sensitivity of space-borne gravitational wave observatories
will depend critically on the geodetic purity of the trajectories of orbiting
test masses. Fluctuations in the temperature difference across the enclosure
surrounding the free-falling test mass can produce noisy forces through several
processes, including the radiometric effect, radiation pressure, and
outgassing. We present here a detailed experimental investigation of thermal
gradient-induced forces for the LISA gravitational wave mission and the LISA
Pathfinder, employing high resolution torsion pendulum measurements of the
torque on a LISA-like test mass suspended inside a prototype of the LISA
gravitational reference sensor that will surround the test mass in orbit. The
measurement campaign, accompanied by numerical simulations of the radiometric
and radiation pressure effects, allows a more accurate and representative
characterization of thermal-gradient forces in the specific geometry and
environment relevant to LISA free-fall. The pressure dependence of the measured
torques allows clear identification of the radiometric effect, in quantitative
agreement with the model developed. In the limit of zero gas pressure, the
measurements are most likely dominated by outgassing, but at a low level that
does not threaten the LISA sensitivity goals.
|
gr-qc
|
the low frequency sensitivity of spaceborne gravitational wave observatories will depend critically on the geodetic purity of the trajectories of orbiting test masses fluctuations in the temperature difference across the enclosure surrounding the freefalling test mass can produce noisy forces through several processes including the radiometric effect radiation pressure and outgassing we present here a detailed experimental investigation of thermal gradientinduced forces for the lisa gravitational wave mission and the lisa pathfinder employing high resolution torsion pendulum measurements of the torque on a lisalike test mass suspended inside a prototype of the lisa gravitational reference sensor that will surround the test mass in orbit the measurement campaign accompanied by numerical simulations of the radiometric and radiation pressure effects allows a more accurate and representative characterization of thermalgradient forces in the specific geometry and environment relevant to lisa freefall the pressure dependence of the measured torques allows clear identification of the radiometric effect in quantitative agreement with the model developed in the limit of zero gas pressure the measurements are most likely dominated by outgassing but at a low level that does not threaten the lisa sensitivity goals
|
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|
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|
706.4403
|
Recursion between Mumford volumes of moduli spaces
|
We propose a new proof, as well as a generalization of Mirzakhani's recursion
for volumes of moduli spaces. We interpret those recursion relations in terms
of expectation values in Kontsevich's integral, i.e. we relate them to a Ribbon
graph decomposition of Riemann surfaces. We find a generalization of
Mirzakhani's recursions to measures containing all higher Mumford's kappa
classes, and not only kappa1 as in the Weil-Petersson case.
|
math.AG hep-th math-ph math.MP
|
we propose a new proof as well as a generalization of mirzakhanis recursion for volumes of moduli spaces we interpret those recursion relations in terms of expectation values in kontsevichs integral ie we relate them to a ribbon graph decomposition of riemann surfaces we find a generalization of mirzakhanis recursions to measures containing all higher mumfords kappa classes and not only kappa1 as in the weilpetersson case
|
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|
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|
706.4404
|
Muon multiplicity at high energy proton-nuclei collisions
|
Estimation of multiplicity of muons and pions production at high energy
proton-nuclei collisions is given. Both QED and QCD contributions are
considered for peripheral kinematics of muon pair and $\sigma$-meson
production, keeping in mind it's final conversion to muons. An attempt to
explain the excess of positive charged muons compared to negative one in cosmic
muon showers is given.
We derive the dependence of cross-section of $n$ pairs as a function of $n$
at large n as $d^n(n!n^2)^{-1}$.
|
hep-ph
|
estimation of multiplicity of muons and pions production at high energy protonnuclei collisions is given both qed and qcd contributions are considered for peripheral kinematics of muon pair and sigmameson production keeping in mind its final conversion to muons an attempt to explain the excess of positive charged muons compared to negative one in cosmic muon showers is given we derive the dependence of crosssection of n pairs as a function of n at large n as dnnn21
|
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|
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|
706.4405
|
Tightness of voter model interfaces
|
Consider a long-range, one-dimensional voter model started with all zeroes on
the negative integers and all ones on the positive integers. If the process
obtained by identifying states that are translations of each other is
positively recurrent, then it is said that the voter model exhibits interface
tightness. In 1995, Cox and Durrett proved that one-dimensional voter models
exhibit interface tightness if their infection rates have a finite third
moment. Recently, Belhaouari, Mountford, and Valle have improved this by
showing that a finite second moment suffices. The present paper gives a new
short proof of this fact. We also prove interface tightness for a long range
swapping voter model, which has a mixture of long range voter model and
exclusion process dynamics.
|
math.PR
|
consider a longrange onedimensional voter model started with all zeroes on the negative integers and all ones on the positive integers if the process obtained by identifying states that are translations of each other is positively recurrent then it is said that the voter model exhibits interface tightness in 1995 cox and durrett proved that onedimensional voter models exhibit interface tightness if their infection rates have a finite third moment recently belhaouari mountford and valle have improved this by showing that a finite second moment suffices the present paper gives a new short proof of this fact we also prove interface tightness for a long range swapping voter model which has a mixture of long range voter model and exclusion process dynamics
|
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|
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|
706.4406
|
Self-motile colloidal particles: from directed propulsion to random walk
|
The motion of an artificial micro-scale swimmer that uses a chemical reaction
catalyzed on its own surface to achieve autonomous propulsion is fully
characterized experimentally. It is shown that at short times, it has a
substantial component of directed motion, with a velocity that depends on the
concentration of fuel molecules. At longer times, the motion reverts to a
random walk with a substantially enhanced diffusion coefficient. Our results
suggest strategies for designing artificial chemotactic systems.
|
cond-mat.soft cond-mat.stat-mech
|
the motion of an artificial microscale swimmer that uses a chemical reaction catalyzed on its own surface to achieve autonomous propulsion is fully characterized experimentally it is shown that at short times it has a substantial component of directed motion with a velocity that depends on the concentration of fuel molecules at longer times the motion reverts to a random walk with a substantially enhanced diffusion coefficient our results suggest strategies for designing artificial chemotactic systems
|
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|
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|
706.4407
|
Supersymmetric heterotic string backgrounds
|
We present the main features of the solution of the gravitino and dilatino
Killing spinor equations derived in hep-th/0510176 and hep-th/0703143 which
have led to the classification of geometric types of all type I backgrounds. We
then apply these results to the supersymmetric backgrounds of the heterotic
string. In particular, we solve the gaugino Killing spinor equation together
with the other two Killing spinor equations of the theory. We also use our
results to classify all supersymmetry conditions of ten-dimensional gauge
theory.
|
hep-th
|
we present the main features of the solution of the gravitino and dilatino killing spinor equations derived in hepth0510176 and hepth0703143 which have led to the classification of geometric types of all type i backgrounds we then apply these results to the supersymmetric backgrounds of the heterotic string in particular we solve the gaugino killing spinor equation together with the other two killing spinor equations of the theory we also use our results to classify all supersymmetry conditions of tendimensional gauge theory
|
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|
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|
706.4408
|
Genetic embedded matching approach to ground states in continuous-spin
systems
|
Due to an extremely rugged structure of the free energy landscape, the
determination of spin-glass ground states is among the hardest known
optimization problems, found to be NP-hard in the most general case. Owing to
the specific structure of local (free) energy minima, general-purpose
optimization strategies perform relatively poorly on these problems, and a
number of specially tailored optimization techniques have been developed in
particular for the Ising spin glass and similar discrete systems. Here, an
efficient optimization heuristic for the much less discussed case of continuous
spins is introduced, based on the combination of an embedding of Ising spins
into the continuous rotators and an appropriate variant of a genetic algorithm.
Statistical techniques for insuring high reliability in finding (numerically)
exact ground states are discussed, and the method is benchmarked against the
simulated annealing approach.
|
cond-mat.dis-nn cond-mat.stat-mech
|
due to an extremely rugged structure of the free energy landscape the determination of spinglass ground states is among the hardest known optimization problems found to be nphard in the most general case owing to the specific structure of local free energy minima generalpurpose optimization strategies perform relatively poorly on these problems and a number of specially tailored optimization techniques have been developed in particular for the ising spin glass and similar discrete systems here an efficient optimization heuristic for the much less discussed case of continuous spins is introduced based on the combination of an embedding of ising spins into the continuous rotators and an appropriate variant of a genetic algorithm statistical techniques for insuring high reliability in finding numerically exact ground states are discussed and the method is benchmarked against the simulated annealing approach
|
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|
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|
706.4409
|
THERMINATOR simulations and PHENIX images of a heavy tail of particle
emission in 200 GeV Au+Au collisions
|
Correlation between emitted particles from a thermalized medium carry
important information about the space-time extent and the dynamics of the
particle emitting source. Pion emission source functions S(r) have been
measured in PHENIX using an imaging technique, and it has been found that it
contains a heavy (power-law) tail. It leads us to the assumption that there is
a halo of secondary pions, surrounding the core system that undergoes the
hydrodynamical evolution. THERMINATOR, a Monte Carlo event generator designed
for studies in relativistic heavy-ion collisions is used to model and
investigate the influence of resonance decays on the tail of particle emission
source. It lacks the implementation of rescattering, which, as we have learnt
from previous Hadron Rescattering Code simulations, is a possible explanation
of the power-law tail. Our studies also have shown that none of the pion
sources alone are responsible for the tail: either the resonance decays or
rescattering or a combination of these effects is a possible cause of the heavy
tail.
|
nucl-th
|
correlation between emitted particles from a thermalized medium carry important information about the spacetime extent and the dynamics of the particle emitting source pion emission source functions sr have been measured in phenix using an imaging technique and it has been found that it contains a heavy powerlaw tail it leads us to the assumption that there is a halo of secondary pions surrounding the core system that undergoes the hydrodynamical evolution therminator a monte carlo event generator designed for studies in relativistic heavyion collisions is used to model and investigate the influence of resonance decays on the tail of particle emission source it lacks the implementation of rescattering which as we have learnt from previous hadron rescattering code simulations is a possible explanation of the powerlaw tail our studies also have shown that none of the pion sources alone are responsible for the tail either the resonance decays or rescattering or a combination of these effects is a possible cause of the heavy tail
|
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|
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|
706.441
|
Environment-Mediated Quantum State Transfer
|
We propose a scheme for quantum state transfer(QST) between two qubits which
is based on their individual interaction with a common boson environment. The
corresponding single mode spin-boson Hamiltonian is solved by mapping it onto a
wave propagation problem in a semi-infinite ladder and the fidelity is
obtained. High fidelity occurs when the qubits are equally coupled to the boson
while the fidelity becomes smaller for nonsymmetric couplings. The complete
phase diagram for such an arbitrary QST mediated by bosons is discussed.
|
quant-ph
|
we propose a scheme for quantum state transferqst between two qubits which is based on their individual interaction with a common boson environment the corresponding single mode spinboson hamiltonian is solved by mapping it onto a wave propagation problem in a semiinfinite ladder and the fidelity is obtained high fidelity occurs when the qubits are equally coupled to the boson while the fidelity becomes smaller for nonsymmetric couplings the complete phase diagram for such an arbitrary qst mediated by bosons is discussed
|
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|
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|
706.4411
|
Relaxation Enhancement by Time-Periodic Flows
|
We study enhancement of diffusive mixing by fast incompressible time-periodic
flows. The class of relaxation-enhancing flows that are especially efficient in
speeding up mixing has been introduced in [2]. The relaxation-enhancing
property of a flow has been shown to be intimately related to the properties of
the dynamical system it generates. In particular, time-independent flows $u$
such that the operator $u \cdot \nabla$ has sufficiently smooth eigenfunctions
are not relaxation-enhancing. Here we extend results of [2] to time-periodic
flows $u(x,t)$ and in particular show that there exist flows such that for each
fixed time the flow is Hamiltonian, but the resulting time-dependent flow is
relaxation-enhancing. Thus we confirm the physical intuition that time
dependence of a flow may aid mixing. We also provide an extension of our
results to the case of a nonlinear diffusion model. The proofs are based on a
general criterion for the decay of a semigroup generated by an operator of the
form $\Gamma+iAL(t)$ with a negative unbounded self-adjoint operator $\Gamma$,
a time-periodic self-adjoint operator-valued function $L(t)$, and a parameter
$A>>1$.
|
math.AP math.FA math.SP
|
we study enhancement of diffusive mixing by fast incompressible timeperiodic flows the class of relaxationenhancing flows that are especially efficient in speeding up mixing has been introduced in 2 the relaxationenhancing property of a flow has been shown to be intimately related to the properties of the dynamical system it generates in particular timeindependent flows u such that the operator u cdot nabla has sufficiently smooth eigenfunctions are not relaxationenhancing here we extend results of 2 to timeperiodic flows uxt and in particular show that there exist flows such that for each fixed time the flow is hamiltonian but the resulting timedependent flow is relaxationenhancing thus we confirm the physical intuition that time dependence of a flow may aid mixing we also provide an extension of our results to the case of a nonlinear diffusion model the proofs are based on a general criterion for the decay of a semigroup generated by an operator of the form gammaialt with a negative unbounded selfadjoint operator gamma a timeperiodic selfadjoint operatorvalued function lt and a parameter a1
|
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|
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|
706.4412
|
Optimal phase estimation in quantum networks
|
We address the problem of estimating the phase phi given N copies of the
phase rotation u(phi) within an array of quantum operations in finite
dimensions. We first consider the special case where the array consists of an
arbitrary input state followed by any arrangement of the N phase rotations, and
ending with a POVM. We optimise the POVM for a given input state and fixed
arrangement. Then we also optimise the input state for some specific cost
functions. In all cases, the optimal POVM is equivalent to a quantum Fourier
transform in an appropriate basis. Examples and applications are given.
|
quant-ph
|
we address the problem of estimating the phase phi given n copies of the phase rotation uphi within an array of quantum operations in finite dimensions we first consider the special case where the array consists of an arbitrary input state followed by any arrangement of the n phase rotations and ending with a povm we optimise the povm for a given input state and fixed arrangement then we also optimise the input state for some specific cost functions in all cases the optimal povm is equivalent to a quantum fourier transform in an appropriate basis examples and applications are given
|
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|
[-0.14733075498981346, 0.1563664662211126, -0.00589993170066045, -0.006135164313986529, -0.01114385187081845, -0.1460339354424931, 0.06223777948537528, 0.38076737858723886, -0.26241782162393823, -0.24557139120977556, 0.12213475477655815, -0.2591801044452788, -0.13519078007170765, 0.15834302602262043, -0.07900208565129871, 0.11682249678962744, 0.0381472764887137, 0.069026911317712, -0.11814580595242966, -0.2612067989412566, 0.32787344802636653, 0.013658306485337049, 0.24164707194967655, -0.04939453616867413, 0.15554160286331237, 0.060318932200016655, 0.011662135145046038, 0.0016713650186082503, -0.11382888113425141, 0.050656253544586055, 0.27529905248654657, 0.16313326813391235, 0.22257424311915247, -0.41868104795593364, -0.1320182418538313, 0.15662104780739633, 0.09376714770027464, 0.1152925843345278, -0.030965933474795062, -0.27505689540112593, 0.02947833478257134, -0.12624936247484222, -0.10997120626178561, -0.04882407017596214, 0.03341179620013526, 0.0020618761778984328, -0.3211822786396093, -0.017316900297715834, 0.04441028865893362, 0.03622489676137667, -0.06491225743942922, -0.10413034864249501, 0.03490573213444931, 0.1722261418984963, -0.08302963797883638, 0.05571064050078835, 0.07839291859049313, -0.10770906143738787, -0.127459507442476, 0.35967486704893337, -0.018099163336181404, -0.268291387706995, 0.07702565245275007, -0.14894119461555735, -0.12188186943254406, 0.10240328266852453, 0.13717618951629293, 0.1225316546820473, -0.09724025079279695, 0.11933404140665407, -0.04270561329909776, 0.21324613532696915, 0.074921317470011, 0.0445205381250765, 0.15675157644223459, 0.11738914085349234, 0.12166746096664781, 0.23850388754860008, -0.050909414006821294, -0.08963770518024074, -0.3834524888655927, -0.20881632689644794, -0.22805789453415476, 0.04186654582822529, -0.11609040794039427, -0.1676154308860181, 0.4119798006618967, 0.0864762326791516, 0.23512376509699048, 0.0038667669667318315, 0.28464318433831826, 0.13890199844568674, -0.022954633606985065, 0.06333954903380115, 0.1322520817644401, 0.13692583632655442, 0.024482123295564463, -0.20334458983696924, 0.01632243757698648, 0.07979666094046713]
|
706.4413
|
Quantum wave equations in curved space-time from wave mechanics
|
Alternative versions of the Klein-Gordon and Dirac equations in a curved
spacetime are got by applying directly the classical-quantum correspondence.
|
gr-qc
|
alternative versions of the kleingordon and dirac equations in a curved spacetime are got by applying directly the classicalquantum correspondence
|
[['alternative', 'versions', 'of', 'the', 'kleingordon', 'and', 'dirac', 'equations', 'in', 'a', 'curved', 'spacetime', 'are', 'got', 'by', 'applying', 'directly', 'the', 'classicalquantum', 'correspondence']]
|
[-0.11826211658772082, 0.1449581203982234, -0.15336260125041007, 0.13200724464841188, -0.14799958593212068, -0.22067279235925524, -0.05249510034918785, 0.27838320694863794, -0.20431422097608448, -0.2769689353182912, 0.025072595238452778, -0.25682456865906717, -0.19514914602041245, 0.15293804230168462, -0.0935609036590904, 0.0631606652867049, 0.035198295535519716, 0.04165296535938978, -0.19036623216234147, -0.24684889633208512, 0.40973499432438987, -0.008013400435447692, 0.29097622642293575, -0.04915403568884358, 0.09098046869039536, 0.01047846400178969, 0.004661195538938045, 0.05864835761021823, -0.09578020093031228, 0.11397186489775776, 0.22202430479228497, 0.04377535087987781, 0.21512445583939552, -0.447767062112689, -0.25499360463581977, -0.024088003591168673, 0.16546223415934946, 0.16014132499694825, -0.11259815157391131, -0.45011025546118616, 0.011367927072569728, -0.09592664951924235, -0.1519654361763969, -0.0028300767298787832, -0.047874868754297494, -0.024593595025362448, -0.17678839415311814, 0.11553349997848272, 0.03342949827201665, -0.028267072141170503, -0.10692102496977895, -0.03724291808903217, -0.007560766208916903, 0.03077591776382178, 0.023341431061271577, -0.012435943470336497, 0.03209134079515934, -0.08484460157342255, -0.15419845739379526, 0.38866856042295694, -0.06657628305256366, -0.373840507119894, 0.15079329982399942, -0.0815667055780068, -0.037053798069246115, 0.08168751373887062, 0.07392476745881141, 0.1463395304977894, -0.20081044551916422, 0.2529709728405578, -0.04909944329992868, 0.04765335898846388, 0.1858582553686574, 0.006804854748770595, 0.2521649317117408, 0.005598199646919965, 0.004830789752304554, 0.1823576765600592, 0.011334534920752048, -0.19302873470587656, -0.33436694033443926, -0.22497430276125668, -0.17137613238301128, 0.13276690552011133, -0.13464912089912104, -0.1391128616523929, 0.3588095599785447, 0.11424945550970733, 0.10332514150068164, 0.01068908702582121, 0.21479811128228904, 0.17638027658686042, -0.018137467652559282, 0.08225334342569113, 0.2569535660557449, 0.24968644726322964, 0.1695309896953404, -0.1528140962123871, -0.12566910444293172, 0.19553599129430949]
|
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