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706.4114
|
Searches for New Physics at HERA
|
The high energy programme of the HERA collider ended in March 2007. During
the whole HERA programme, a combined total integrated luminosity of 1 fb$^{-1}$
was collected by the H1 and ZEUS experiments. In this context, an overview of
the most recent results of both experiments concerning searches for new physics
is presented. The topics covered are searches for contact interactions,
leptoquarks and excited leptons, as well as studies of the isolated lepton and
multi-lepton topologies, and a general signature based search.
|
hep-ex
|
the high energy programme of the hera collider ended in march 2007 during the whole hera programme a combined total integrated luminosity of 1 fb1 was collected by the h1 and zeus experiments in this context an overview of the most recent results of both experiments concerning searches for new physics is presented the topics covered are searches for contact interactions leptoquarks and excited leptons as well as studies of the isolated lepton and multilepton topologies and a general signature based search
|
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|
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|
706.4115
|
TMC-1C: an accreting starless core
|
We have mapped the starless core TMC-1C in a variety of molecular lines with
the IRAM 30m telescope. High density tracers show clear signs of
self-absorption and sub-sonic infall asymmetries are present in N2H+ (1-0) and
DCO+ (2-1) lines. The inward velocity profile in N2H+ (1-0) is extended over a
region of about 7,000 AU in radius around the dust continuum peak, which is the
most extended ``infalling'' region observed in a starless core with this
tracer. The kinetic temperature (~12 K) measured from C17O and C18O suggests
that their emission comes from a shell outside the colder interior traced by
the mm continuum dust. The C18O (2-1) excitation temperature drops from 12 K to
~10 K away from the center. This is consistent with a volume density drop of
the gas traced by the C18O lines, from ~4x10^4 cm^-3 towards the dust peak to
~6x10^3 cm^-3 at a projected distance from the dust peak of 80" (or 11,000 AU).
The column density implied by the gas and dust show similar N2H+ and CO
depletion factors (f_D < 6). This can be explained with a simple scenario in
which: (i) the TMC-1C core is embedded in a relatively dense environment (H2
~10^4 cm^-3), where CO is mostly in the gas phase and the N2H+ abundance had
time to reach equilibrium values; (ii) the surrounding material (rich in CO and
N2H+) is accreting onto the dense core nucleus; (iii) TMC-1C is older than
3x10^5 yr, to account for the observed abundance of N2H+ across the core
(~10^-10 w.r.t. H2); and (iv) the core nucleus is either much younger (~10^4
yr) or ``undepleted'' material from the surrounding envelope has fallen towards
it in the past 10,000 yr.
|
astro-ph
|
we have mapped the starless core tmc1c in a variety of molecular lines with the iram 30m telescope high density tracers show clear signs of selfabsorption and subsonic infall asymmetries are present in n2h 10 and dco 21 lines the inward velocity profile in n2h 10 is extended over a region of about 7000 au in radius around the dust continuum peak which is the most extended infalling region observed in a starless core with this tracer the kinetic temperature 12 k measured from c17o and c18o suggests that their emission comes from a shell outside the colder interior traced by the mm continuum dust the c18o 21 excitation temperature drops from 12 k to 10 k away from the center this is consistent with a volume density drop of the gas traced by the c18o lines from 4x104 cm3 towards the dust peak to 6x103 cm3 at a projected distance from the dust peak of 80 or 11000 au the column density implied by the gas and dust show similar n2h and co depletion factors f_d 6 this can be explained with a simple scenario in which i the tmc1c core is embedded in a relatively dense environment h2 104 cm3 where co is mostly in the gas phase and the n2h abundance had time to reach equilibrium values ii the surrounding material rich in co and n2h is accreting onto the dense core nucleus iii tmc1c is older than 3x105 yr to account for the observed abundance of n2h across the core 1010 wrt h2 and iv the core nucleus is either much younger 104 yr or undepleted material from the surrounding envelope has fallen towards it in the past 10000 yr
|
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|
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|
706.4116
|
Star Formation in Molecular Clouds?
|
Using studies of nearby star formation with Spitzer, I will argue that star
formation is restricted to dense cores within molecular clouds. The nature of
these dense cores and their connection to star formation will be discussed.
Their distribution over masses and over the cloud is similar to that of stars,
and their efficiency of forming stars is much higher than that of the whole
cloud. Moving to regions forming more massive stars, we find that the mass
distribution of the dense clumps is similar to that of OB associations. The
infrared luminosity per unit mass of dense gas is high and comparable to that
seen in starburst galaxies. The relation between star formation and dense gas
appears to be linear. Understanding the Kennicutt-Schmidt law requires an
understanding of what controls the conversion of gas into the dense entities
where stars actually form.
|
astro-ph
|
using studies of nearby star formation with spitzer i will argue that star formation is restricted to dense cores within molecular clouds the nature of these dense cores and their connection to star formation will be discussed their distribution over masses and over the cloud is similar to that of stars and their efficiency of forming stars is much higher than that of the whole cloud moving to regions forming more massive stars we find that the mass distribution of the dense clumps is similar to that of ob associations the infrared luminosity per unit mass of dense gas is high and comparable to that seen in starburst galaxies the relation between star formation and dense gas appears to be linear understanding the kennicuttschmidt law requires an understanding of what controls the conversion of gas into the dense entities where stars actually form
|
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|
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|
706.4117
|
Vector-Boson Production of Light Higgs Pairs in 2-Higgs Doublet Models
|
At the Large Hadron Collider, we prove the feasibility to detect pair
production of the lightest CP-even Higgs boson $h$ of Type II 2-Higgs Doublet
Models through $q q^{(')}\to q q^{(')} {hh}$ (vector-boson fusion). We also
show that, through the $hh\to 4b$ decay channel in presence of heavy-flavour
tagging, further exploiting forward/backward jet sampling, one has direct
access to the $\lambda_{Hhh}$ triple Higgs coupling -- which constrains the
form of the Higgs potential.
|
hep-ph
|
at the large hadron collider we prove the feasibility to detect pair production of the lightest cpeven higgs boson h of type ii 2higgs doublet models through q qto q q hh vectorboson fusion we also show that through the hhto 4b decay channel in presence of heavyflavour tagging further exploiting forwardbackward jet sampling one has direct access to the lambda_hhh triple higgs coupling which constrains the form of the higgs potential
|
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|
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|
706.4118
|
Nonlinear Schrodinger-Helmholtz Equation as Numerical Regularization of
the Nonlinear Schrodinger Equation
|
A regularized $\alpha-$system of the Nonlinear Schr\"{o}dinger Equation (NLS)
with $2\sigma$ nonlinear power in dimension $N$ is studied. We prove existence
and uniqueness of local solution in the case $1 \le \sigma <\frac{4}{N-2}$ and
existence and uniqueness of global solution in the case $1 \le \sigma <
\frac{4}{N}$. When $\alpha \to 0^+$, this regularized system will converge to
the classical NLS in the appropriate range. In particular, the purpose of this
numerical regularization is to shed light on the profile of the blow up
solutions of the original Nonlinear Schr\"{o}dinger Equation in the range
$\frac{2}{N}\le \sigma <\frac{4}{N}$, and in particular for the critical case
$\sigma = \frac{2}{N}$.
|
math.AP math-ph math.MP
|
a regularized alphasystem of the nonlinear schrodinger equation nls with 2sigma nonlinear power in dimension n is studied we prove existence and uniqueness of local solution in the case 1 le sigma frac4n2 and existence and uniqueness of global solution in the case 1 le sigma frac4n when alpha to 0 this regularized system will converge to the classical nls in the appropriate range in particular the purpose of this numerical regularization is to shed light on the profile of the blow up solutions of the original nonlinear schrodinger equation in the range frac2nle sigma frac4n and in particular for the critical case sigma frac2n
|
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|
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|
706.4119
|
Relating multichannel scattering and production amplitudes in a
microscopic OZI-based model
|
Relations between scattering and production amplitudes are studied in a
microscopic multichannel model for meson-meson scattering, with coupling to
confined quark-antiquark channels. Overlapping resonances and a proper
threshold behaviour are treated exactly in the model. Under the spectator
assumption, it is found that the two-particle production amplitude shares a
common denominator with the elastic scattering amplitude, besides a numerator
consisting of a linear combination of all elastic and some inelastic matrix
elements. The coefficients in these linear combinations are shown to be
generally complex. Finally, the standard operator expressions relating
production and scattering amplitudes, viz. A=T/V and Im(A)=T*A, are fulfilled,
while in the small-coupling limit the usual isobar model is recovered.
|
hep-ph
|
relations between scattering and production amplitudes are studied in a microscopic multichannel model for mesonmeson scattering with coupling to confined quarkantiquark channels overlapping resonances and a proper threshold behaviour are treated exactly in the model under the spectator assumption it is found that the twoparticle production amplitude shares a common denominator with the elastic scattering amplitude besides a numerator consisting of a linear combination of all elastic and some inelastic matrix elements the coefficients in these linear combinations are shown to be generally complex finally the standard operator expressions relating production and scattering amplitudes viz atv and imata are fulfilled while in the smallcoupling limit the usual isobar model is recovered
|
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|
[-0.13747644922854801, 0.20329571275294506, -0.08006591609763829, 0.11020050760231573, -0.025973631945354018, -0.14905353685290637, 0.0003633941645437682, 0.34142524417151104, -0.2674480398778211, -0.19622357617217032, 0.008487998698414727, -0.34422505709596657, -0.14020639873871749, 0.13775713118428196, 0.0757997844050723, 0.09527145912024108, 0.053841482166370205, 0.0653939888484522, -0.03577359340111302, -0.18025236895985225, 0.3147272063482722, -0.02011572344821285, 0.25472064980051734, 0.08206105786111122, 0.06069349864159118, 0.09855782712746242, -0.025646308259720998, -0.01105288906361569, -0.05540732783933477, 0.07088065715189176, 0.25987638011680575, 0.015414596128803996, 0.09431285740892319, -0.41827205737883394, -0.18315857839347285, 0.08435346841685135, 0.16211255762556737, 0.10032718031751839, 0.0300393599297174, -0.23235647661442108, 0.020983621304516087, -0.1595180538736961, -0.14552995687858625, -0.07527180627538738, 0.03227587463334203, 0.0018807167012710123, -0.35280803792517296, 0.10930009324272925, -0.006540951145474206, 0.011358104974285445, -0.06700108850755813, -0.16446593673688106, -0.013889025333760813, 0.05041826656088233, 0.060458675061818214, -0.016657846176531165, 0.12568682894026015, -0.1518295084406749, -0.08215510603463785, 0.3819684301545335, -0.05862909715717912, -0.24393628698519684, 0.16591605657965622, -0.1554891209456731, -0.10000790652649647, 0.16185090824623, 0.14552456286143173, 0.052112335254522885, -0.2311493507713418, 0.11533922302399084, -0.02386021052106199, 0.1439371686407619, 0.15834411990574815, 0.07969420721690933, 0.1628703642551872, 0.1438397591933608, -0.08031941667537798, 0.09975907762259753, -0.05681143899194219, -0.13052918324670332, -0.3668382153930989, -0.04652140916071155, -0.10213885296834632, 0.011998647206928581, -0.07598133883796188, -0.15134023370469962, 0.32182580600915983, 0.055453330832956865, 0.23015864452093163, 0.05763421978759156, 0.30095524593595074, 0.1860023797997697, 0.08817386073483661, 0.06266797059638933, 0.2843493809471097, 0.21027267491444945, 0.03603894381402907, -0.2417108700145036, 0.054290486355735496, 0.04561048287644305]
|
706.412
|
Optical 'Shorting Wires'
|
Connecting lumped circuit elements in a conventional circuit is usually
accomplished by conducting wires that act as conduits for the conduction
currents with negligible potential drops. More challenging, however, is to
extend these concepts to optical nanocircuit elements. Here, following our
recent development of optical lumped circuit elements, we show how a special
class of nanowaveguides formed by a thin core with relatively large (positive
or negative) permittivity surrounded by a thin concentric shell with low
permittivity may provide the required analogy to 'wires' for optical
nano-circuits.
|
cond-mat.mtrl-sci
|
connecting lumped circuit elements in a conventional circuit is usually accomplished by conducting wires that act as conduits for the conduction currents with negligible potential drops more challenging however is to extend these concepts to optical nanocircuit elements here following our recent development of optical lumped circuit elements we show how a special class of nanowaveguides formed by a thin core with relatively large positive or negative permittivity surrounded by a thin concentric shell with low permittivity may provide the required analogy to wires for optical nanocircuits
|
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|
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|
706.4121
|
Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin
chain
|
We study the largest particle-number-preserving sector of the dilatation
operator in maximally supersymmetric gauge theory. After exploring one-loop
Bethe Ansatze for the underlying spin chain with psl(2|2) symmetry for simple
root systems related to several Kac-Dynkin diagrams, we use the analytic Bethe
Anzats to construct eigenvalues of transfer matrices with finite-dimensional
atypical representations in the auxiliary space. We derive closed Baxter
equations for eigenvalues of nested Baxter operators. We extend these
considerations for a non-distinguished root system with FBBF grading to all
orders of perturbation theory in 't Hooft coupling. We construct generating
functions for all transfer matrices with auxiliary space determined by Young
supertableaux (1^a) and (s) and find determinant formulas for transfer matrices
with auxiliary spaces corresponding to skew Young supertableaux. The latter
yields fusion relations for transfer matrices with auxiliary space
corresponding to representations labelled by square Young supertableaux. We
derive asymptotic Baxter equations which determine spectra of anomalous
dimensions of composite Wilson operators in noncompact psl(2|2) subsector of
N=4 super-Yang-Mills theory.
|
hep-th
|
we study the largest particlenumberpreserving sector of the dilatation operator in maximally supersymmetric gauge theory after exploring oneloop bethe ansatze for the underlying spin chain with psl22 symmetry for simple root systems related to several kacdynkin diagrams we use the analytic bethe anzats to construct eigenvalues of transfer matrices with finitedimensional atypical representations in the auxiliary space we derive closed baxter equations for eigenvalues of nested baxter operators we extend these considerations for a nondistinguished root system with fbbf grading to all orders of perturbation theory in t hooft coupling we construct generating functions for all transfer matrices with auxiliary space determined by young supertableaux 1a and s and find determinant formulas for transfer matrices with auxiliary spaces corresponding to skew young supertableaux the latter yields fusion relations for transfer matrices with auxiliary space corresponding to representations labelled by square young supertableaux we derive asymptotic baxter equations which determine spectra of anomalous dimensions of composite wilson operators in noncompact psl22 subsector of n4 superyangmills theory
|
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|
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|
706.4122
|
Magnetic Energy and Helicity Budgets in the Active-Region Solar Corona.
I. Linear Force-Free Approximation
|
We self-consistently derive the magnetic energy and relative magnetic
helicity budgets of a three-dimensional linear force-free magnetic structure
rooted in a lower boundary plane. For the potential magnetic energy we derive a
general expression that gives results practically equivalent to those of the
magnetic Virial theorem. All magnetic energy and helicity budgets are
formulated in terms of surface integrals applied to the lower boundary, thus
avoiding computationally intensive three-dimensional magnetic field
extrapolations. We analytically and numerically connect our derivations with
classical expressions for the magnetic energy and helicity, thus presenting a
so-far lacking unified treatment of the energy/helicity budgets in the
constant-alpha approximation. Applying our derivations to photospheric vector
magnetograms of an eruptive and a noneruptive solar active regions, we find
that the most profound quantitative difference between these regions lies in
the estimated free magnetic energy and relative magnetic helicity budgets. If
this result is verified with a large number of active regions, it will advance
our understanding of solar eruptive phenomena. We also find that the
constant-alpha approximation gives rise to large uncertainties in the
calculation of the free magnetic energy and the relative magnetic helicity.
Therefore, care must be exercised when this approximation is applied to
photospheric magnetic field observations. Despite its shortcomings, the
constant-alpha approximation is adopted here because this study will form the
basis of a comprehensive nonlinear force-free description of the energetics and
helicity in the active-region solar corona, which is our ultimate objective.
|
astro-ph
|
we selfconsistently derive the magnetic energy and relative magnetic helicity budgets of a threedimensional linear forcefree magnetic structure rooted in a lower boundary plane for the potential magnetic energy we derive a general expression that gives results practically equivalent to those of the magnetic virial theorem all magnetic energy and helicity budgets are formulated in terms of surface integrals applied to the lower boundary thus avoiding computationally intensive threedimensional magnetic field extrapolations we analytically and numerically connect our derivations with classical expressions for the magnetic energy and helicity thus presenting a sofar lacking unified treatment of the energyhelicity budgets in the constantalpha approximation applying our derivations to photospheric vector magnetograms of an eruptive and a noneruptive solar active regions we find that the most profound quantitative difference between these regions lies in the estimated free magnetic energy and relative magnetic helicity budgets if this result is verified with a large number of active regions it will advance our understanding of solar eruptive phenomena we also find that the constantalpha approximation gives rise to large uncertainties in the calculation of the free magnetic energy and the relative magnetic helicity therefore care must be exercised when this approximation is applied to photospheric magnetic field observations despite its shortcomings the constantalpha approximation is adopted here because this study will form the basis of a comprehensive nonlinear forcefree description of the energetics and helicity in the activeregion solar corona which is our ultimate objective
|
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|
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|
706.4123
|
Level crossing in the three-body problem for strongly interacting
fermions in a harmonic trap
|
We present a solution of the three-fermion problem in a harmonic potential
across a Feshbach resonance. We compare the spectrum with that of the two-body
problem and show that it is energetically unfavorable for the three fermions to
occupy one lattice site rather than two. We also demonstrate the existence of
an energy level crossing in the ground state with a symmetry change of its wave
function, suggesting the possibility of a phase transition for the
corresponding many-body case.
|
cond-mat.other
|
we present a solution of the threefermion problem in a harmonic potential across a feshbach resonance we compare the spectrum with that of the twobody problem and show that it is energetically unfavorable for the three fermions to occupy one lattice site rather than two we also demonstrate the existence of an energy level crossing in the ground state with a symmetry change of its wave function suggesting the possibility of a phase transition for the corresponding manybody case
|
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|
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|
706.4124
|
On the origin of X-ray emission in some FR Is: ADAF or jet?
|
We investigate the X-ray origin in FR Is using the radio, submillimetre,
optical, and {\em Chandra} X-ray data of a small sample consisting of eight FR
I sources. These sources are very dim, with X-ray luminosities $L_{\rm
X}/L_{\rm Edd} \sim 10^{-4}-10^{-8}$ ($L_{\rm X}$ is the X-ray luminosity
between 2-10 keV). We try to fit the multiwaveband spectrum using a coupled
accretion-jet model. In this model, the accretion flow is described by an
advection-dominated accretion flow (ADAF) while in the innermost region of ADAF
a fraction of accretion flow is transferred into the vertical direction and
forms a jet. We find that X-ray emission in the source with the highest $L_{\rm
X}$ ($\sim 1.8 \times 10^{-4}L_{\rm Edd}$) is from the ADAF. The results for
the four sources with moderate $L_{\rm X}$ ($\sim$ several $\times
10^{-6}L_{\rm Edd}$) are complicated. Two are mainly from the ADAFs, one from
the jet, and the other from the sum of the jet and ADAF. The X-ray emission in
the three least luminous sources ($L_{\rm X} \lesssim 1.0\times 10^{-6}L_{\rm
Edd}$) is dominated by the jet although for one source it can also be
interpreted by the ADAF since the quality of X-ray data is low. We conclude
that these results roughly support the predictions of Yuan & Cui (2005) where
they predict that when the X-ray luminosity of the system is below a critical
value, the X-radiation will not be dominated by the emission from the ADAF any
longer, but by the jet. We also investigate the fuel supply in these sources.
We find that the accretion rates in four sources among the five in which we can
have good constraints to their accretion rates must be higher than the Bondi
rates. This implies that other fuel supply, such as the gas released by the
stellar population inside the Bondi radius, should be important.
|
astro-ph
|
we investigate the xray origin in fr is using the radio submillimetre optical and em chandra xray data of a small sample consisting of eight fr i sources these sources are very dim with xray luminosities l_rm xl_rm edd sim 104108 l_rm x is the xray luminosity between 210 kev we try to fit the multiwaveband spectrum using a coupled accretionjet model in this model the accretion flow is described by an advectiondominated accretion flow adaf while in the innermost region of adaf a fraction of accretion flow is transferred into the vertical direction and forms a jet we find that xray emission in the source with the highest l_rm x sim 18 times 104l_rm edd is from the adaf the results for the four sources with moderate l_rm x sim several times 106l_rm edd are complicated two are mainly from the adafs one from the jet and the other from the sum of the jet and adaf the xray emission in the three least luminous sources l_rm x lesssim 10times 106l_rm edd is dominated by the jet although for one source it can also be interpreted by the adaf since the quality of xray data is low we conclude that these results roughly support the predictions of yuan cui 2005 where they predict that when the xray luminosity of the system is below a critical value the xradiation will not be dominated by the emission from the adaf any longer but by the jet we also investigate the fuel supply in these sources we find that the accretion rates in four sources among the five in which we can have good constraints to their accretion rates must be higher than the bondi rates this implies that other fuel supply such as the gas released by the stellar population inside the bondi radius should be important
|
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|
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|
706.4125
|
Numerical Simulation of an Electroweak Oscillon
|
Numerical simulations of the bosonic sector of the $SU(2)\times U(1)$
electroweak Standard Model in 3+1 dimensions have demonstrated the existence of
an oscillon -- an extremely long-lived, localized, oscillatory solution to the
equations of motion -- when the Higgs mass is equal to twice the $W^\pm$ boson
mass. It contains total energy roughly 30 TeV localized in a region of radius
0.05 fm. A detailed description of these numerical results is presented.
|
hep-th hep-lat hep-ph nlin.AO
|
numerical simulations of the bosonic sector of the su2times u1 electroweak standard model in 31 dimensions have demonstrated the existence of an oscillon an extremely longlived localized oscillatory solution to the equations of motion when the higgs mass is equal to twice the wpm boson mass it contains total energy roughly 30 tev localized in a region of radius 005 fm a detailed description of these numerical results is presented
|
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|
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|
706.4126
|
Current-voltage curves for molecular junctions: the effect of
substituents
|
We present current-voltage (I-V) curves for phenylene ethynylene oligomers
between two Au surfaces computed using a Density Functional Theory/Green's
Function approach. In addition to the parent molecule, two different
substituents are considered: one where all the hydrogens are replaced by
chlorines and a second where one H is replaced by an NO2 group. In this way, we
can study the difference between electron withdrawing and pi orbital effects.
For low biases, a reduced current for the derived species is consistent with a
shift of HOMO to lower energy due to the electron withdrawal by Cl or NO2. At
higher biases, the LUMO becomes important, and the Cl and NO2 substituted
species carry more current than the parent because the LUMO is stabilized
(shifted to lower energy) due to the withdrawal of electrons by the Cl and NO2.
In these molecules, the C2 bridging units as well as the thiol anchor group are
shown to create bottlenecks to current flow.
|
cond-mat.mes-hall
|
we present currentvoltage iv curves for phenylene ethynylene oligomers between two au surfaces computed using a density functional theorygreens function approach in addition to the parent molecule two different substituents are considered one where all the hydrogens are replaced by chlorines and a second where one h is replaced by an no2 group in this way we can study the difference between electron withdrawing and pi orbital effects for low biases a reduced current for the derived species is consistent with a shift of homo to lower energy due to the electron withdrawal by cl or no2 at higher biases the lumo becomes important and the cl and no2 substituted species carry more current than the parent because the lumo is stabilized shifted to lower energy due to the withdrawal of electrons by the cl and no2 in these molecules the c2 bridging units as well as the thiol anchor group are shown to create bottlenecks to current flow
|
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|
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|
706.4127
|
Semiclassical Density of States for the Quantum Asymmetric Top
|
In the quantization of a rotating rigid body, a {\it top,} one is concerned
with the Hamiltonian operator $L_\alpha=\alpha_0^2 L_x^2 + \alpha_1^2 L_y^2 +
\alpha_2^2 L_z^2,$ where $\alpha_0 < \alpha_1 <\alpha_2.$ An explicit formula
is known for the eigenvalues of $L_\alpha$ in the case of the spherical top
($\alpha_1 = \alpha_2 = \alpha_3$) and symmetrical top ($\alpha_1 = \alpha_2
\neq \alpha_3$) \cite{LL}. However, for the asymmetrical top, no such explicit
expression exists, and the study of the spectrum is much more complex. In this
paper, we compute the semiclassical density of states for the eigenvalues of
the family of operators $L_\alpha=\alpha_0^2 L_x^2 + \alpha_1^2 L_y^2 +
\alpha_2^2 L_z^2$ for any $\alpha_0 < \alpha_1 <\alpha_2$.
|
math-ph math.MP
|
in the quantization of a rotating rigid body a it top one is concerned with the hamiltonian operator l_alphaalpha_02 l_x2 alpha_12 l_y2 alpha_22 l_z2 where alpha_0 alpha_1 alpha_2 an explicit formula is known for the eigenvalues of l_alpha in the case of the spherical top alpha_1 alpha_2 alpha_3 and symmetrical top alpha_1 alpha_2 neq alpha_3 citell however for the asymmetrical top no such explicit expression exists and the study of the spectrum is much more complex in this paper we compute the semiclassical density of states for the eigenvalues of the family of operators l_alphaalpha_02 l_x2 alpha_12 l_y2 alpha_22 l_z2 for any alpha_0 alpha_1 alpha_2
|
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|
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|
706.4128
|
A review of wildland fire spread modelling, 1990-present 2: Empirical
and quasi-empirical models
|
In recent years, advances in computational power and spatial data analysis
(GIS, remote sensing, etc) have led to an increase in attempts to model the
spread and behaviour of wildland fires across the landscape. This series of
review papers endeavours to critically and comprehensively review all types of
surface fire spread models developed since 1990. This paper reviews models of
an empirical or quasi-empirical nature. These models are based solely on the
statistical analysis of experimentally obtained data with or without some
physical framework for the basis of the relations. Other papers in the series
review models of a physical or quasi-physical nature, and mathematical
analogues and simulation models. The main relations of empirical models are
that of wind speed and fuel moisture content with rate of forward spread.
Comparisons are made of the different functional relationships selected by
various authors for these variables.
|
physics.geo-ph physics.ao-ph
|
in recent years advances in computational power and spatial data analysis gis remote sensing etc have led to an increase in attempts to model the spread and behaviour of wildland fires across the landscape this series of review papers endeavours to critically and comprehensively review all types of surface fire spread models developed since 1990 this paper reviews models of an empirical or quasiempirical nature these models are based solely on the statistical analysis of experimentally obtained data with or without some physical framework for the basis of the relations other papers in the series review models of a physical or quasiphysical nature and mathematical analogues and simulation models the main relations of empirical models are that of wind speed and fuel moisture content with rate of forward spread comparisons are made of the different functional relationships selected by various authors for these variables
|
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|
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|
706.4129
|
Shape Coexistence and Mixing in 152Sm
|
Experimental studies of 152Sm using multiple-step Coulomb excitation and
inelastic neutron scattering provide key data that clarify the low-energy
collective structure of this nucleus. No candidates for two-phonon
beta-vibrational states are found. Experimental level energies of the
ground-state and first excited (0+ state) rotational bands, electric monopole
transition rates, reduced quadrupole transition rates, and the isomer shift of
the first excited 2+ state are all described within ~10% precision using
two-band mixing calculations. The basic collective structure of 152Sm is
described using strong mixing of near-degenerate coexisting quasi-rotational
bands with different deformations.
|
nucl-ex
|
experimental studies of 152sm using multiplestep coulomb excitation and inelastic neutron scattering provide key data that clarify the lowenergy collective structure of this nucleus no candidates for twophonon betavibrational states are found experimental level energies of the groundstate and first excited 0 state rotational bands electric monopole transition rates reduced quadrupole transition rates and the isomer shift of the first excited 2 state are all described within 10 precision using twoband mixing calculations the basic collective structure of 152sm is described using strong mixing of neardegenerate coexisting quasirotational bands with different deformations
|
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|
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|
706.413
|
A review of wildland fire spread modelling, 1990-present 3: Mathematical
analogues and simulation models
|
In recent years, advances in computational power and spatial data analysis
(GIS, remote sensing, etc) have led to an increase in attempts to model the
spread and behvaiour of wildland fires across the landscape. This series of
review papers endeavours to critically and comprehensively review all types of
surface fire spread models developed since 1990. This paper reviews models of a
simulation or mathematical analogue nature. Most simulation models are
implementations of existing empirical or quasi-empirical models and their
primary function is to convert these generally one dimensional models to two
dimensions and then propagate a fire perimeter across a modelled landscape.
Mathematical analogue models are those that are based on some mathematical
conceit (rather than a physical representation of fire spread) that
coincidentally simulates the spread of fire. Other papers in the series review
models of an physical or quasi-physical nature and empirical or quasi-empirical
nature. Many models are extensions or refinements of models developed before
1990. Where this is the case, these models are also discussed but much less
comprehensively.
|
physics.geo-ph physics.ao-ph
|
in recent years advances in computational power and spatial data analysis gis remote sensing etc have led to an increase in attempts to model the spread and behvaiour of wildland fires across the landscape this series of review papers endeavours to critically and comprehensively review all types of surface fire spread models developed since 1990 this paper reviews models of a simulation or mathematical analogue nature most simulation models are implementations of existing empirical or quasiempirical models and their primary function is to convert these generally one dimensional models to two dimensions and then propagate a fire perimeter across a modelled landscape mathematical analogue models are those that are based on some mathematical conceit rather than a physical representation of fire spread that coincidentally simulates the spread of fire other papers in the series review models of an physical or quasiphysical nature and empirical or quasiempirical nature many models are extensions or refinements of models developed before 1990 where this is the case these models are also discussed but much less comprehensively
|
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|
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|
706.4131
|
On some power sum problems of Montgomery and Turan
|
We use an estimate for character sums over finite fields of Katz to solve
open problems of Montgomery and Turan. Let h=>2 be an integer. We prove that
inf_{|z_k| => 1} max_{v=1,...,n^h} |sum_{k=1}^n z_k^v| <= (h-1+o(1)) sqrt n.
This gives the right order of magnitude for the quantity and improves on a
bound of Erdos-Renyi by a factor of the order sqrt log n.
|
math.NT
|
we use an estimate for character sums over finite fields of katz to solve open problems of montgomery and turan let h2 be an integer we prove that inf_z_k 1 max_v1nh sum_k1n z_kv h1o1 sqrt n this gives the right order of magnitude for the quantity and improves on a bound of erdosrenyi by a factor of the order sqrt log n
|
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|
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|
706.4132
|
Using the Renormalization Group Functions to Uniquely Determine the
Effective Potential in Massless Scalar Electrodynamics
|
It has been demonstrated that the effective potential V(\phi) in a massless
O(N) \lambda \phi^4_4 model is determined completely by the renormalization
group functions provided the renormalization condition \frac{d^4V}{d
\phi^4}|_{\phi=\mu}=\lambda is used. This is shown to also hold in massless
scalar electrodynamics. By employing a variant of the method of
characteristics, the sums contributing to the leading-log, next-to-leading-log
etc. contributions to V(\phi) can be evaluated.
|
hep-th
|
it has been demonstrated that the effective potential vphi in a massless on lambda phi4_4 model is determined completely by the renormalization group functions provided the renormalization condition fracd4vd phi4_phimulambda is used this is shown to also hold in massless scalar electrodynamics by employing a variant of the method of characteristics the sums contributing to the leadinglog nexttoleadinglog etc contributions to vphi can be evaluated
|
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|
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|
706.4133
|
The proper motion of the Arches cluster with Keck Laser-Guide Star
Adaptive Optics
|
We present the first measurement of the proper motion of the young, compact
Arches cluster near the Galactic center from near-infrared adaptive optics (AO)
data taken with the recently commissioned laser-guide star (LGS) at the Keck
10-m telescope. The excellent astrometric accuracy achieved with LGS-AO
provides the basis for a detailed comparison with VLT/NAOS-CONICA data taken
4.3 years earlier. Over the 4.3 year baseline, a spatial displacement of the
Arches cluster with respect to the field population is measured to be 24.0 +/-
2.2 mas, corresponding to a proper motion of 5.6 +/- 0.5 mas/yr or 212 +/- 29
km/s at a distance of 8 kpc. In combination with the known line-of-sight
velocity of the cluster, we derive a 3D space motion of 232 +/- 30 km/s of the
Arches relative to the field. The large proper motion of the Arches cannot be
explained with any of the closed orbital families observed in gas clouds in the
bar potential of the inner Galaxy, but would be consistent with the Arches
being on a transitional trajectory from x1 to x2 orbits. We investigate a
cloud-cloud collision as the possible origin for the Arches cluster. The
integration of the cluster orbit in the potential of the inner Galaxy suggests
that the cluster passes within 10 pc of the supermassive black hole only if its
true GC distance is very close to its projected distance. A contribution of
young stars from the Arches cluster to the young stellar population in the
inner few parsecs of the GC thus appears increasingly unlikely. The measurement
of the 3D velocity and orbital analysis provides the first observational
evidence that Arches-like clusters do not spiral into the GC. This confirms
that no progenitor clusters to the nuclear cluster are observed at the present
epoch.
|
astro-ph
|
we present the first measurement of the proper motion of the young compact arches cluster near the galactic center from nearinfrared adaptive optics ao data taken with the recently commissioned laserguide star lgs at the keck 10m telescope the excellent astrometric accuracy achieved with lgsao provides the basis for a detailed comparison with vltnaosconica data taken 43 years earlier over the 43 year baseline a spatial displacement of the arches cluster with respect to the field population is measured to be 240 22 mas corresponding to a proper motion of 56 05 masyr or 212 29 kms at a distance of 8 kpc in combination with the known lineofsight velocity of the cluster we derive a 3d space motion of 232 30 kms of the arches relative to the field the large proper motion of the arches cannot be explained with any of the closed orbital families observed in gas clouds in the bar potential of the inner galaxy but would be consistent with the arches being on a transitional trajectory from x1 to x2 orbits we investigate a cloudcloud collision as the possible origin for the arches cluster the integration of the cluster orbit in the potential of the inner galaxy suggests that the cluster passes within 10 pc of the supermassive black hole only if its true gc distance is very close to its projected distance a contribution of young stars from the arches cluster to the young stellar population in the inner few parsecs of the gc thus appears increasingly unlikely the measurement of the 3d velocity and orbital analysis provides the first observational evidence that archeslike clusters do not spiral into the gc this confirms that no progenitor clusters to the nuclear cluster are observed at the present epoch
|
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|
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|
706.4134
|
Bounds on the number of real solutions to polynomial equations
|
We use Gale duality for polynomial complete intersections and adapt the proof
of the fewnomial bound for positive solutions to obtain the bound (e^4+3) 2^(k
choose 2) n^k/4 for the number of non-zero real solutions to a system of n
polynomials in n variables having n+k+1 monomials whose exponent vectors
generate a subgroup of Z^n of odd index. This bound exceeds the bound for
positive solutions only by the constant factor (e^4+3)/(e^2+3) and it is
asymptotically sharp for k fixed and n large.
|
math.AG
|
we use gale duality for polynomial complete intersections and adapt the proof of the fewnomial bound for positive solutions to obtain the bound e43 2k choose 2 nk4 for the number of nonzero real solutions to a system of n polynomials in n variables having nk1 monomials whose exponent vectors generate a subgroup of zn of odd index this bound exceeds the bound for positive solutions only by the constant factor e43e23 and it is asymptotically sharp for k fixed and n large
|
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|
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|
706.4135
|
Simple Two-Dimensional Model for the Elastic Origin of Cooperativity
among Spin States of Spin-Crossover Complexes
|
We study the origin of the cooperative nature of spin crossover (SC) between
low spin (LS) and high spin (HS) states from the view point of elastic
interactions among molecules. As the size of each molecule changes depending on
its spin state, the elastic interaction among the lattice distortions provides
the cooperative interaction of the spin states. We develop a simple model of SC
with intra and intermolecular potentials which accounts for the elastic
interaction including the effect of the inhomogeneity of the spin states, and
apply constant temperature molecular dynamics based on the Nos\'e-Hoover
formalism. We demonstrate that, with increase of the strength of the
intermolecular interactions, the temperature dependence of the HS component
changes from a gradual crossover to a first-order transition.
|
cond-mat.str-el cond-mat.stat-mech
|
we study the origin of the cooperative nature of spin crossover sc between low spin ls and high spin hs states from the view point of elastic interactions among molecules as the size of each molecule changes depending on its spin state the elastic interaction among the lattice distortions provides the cooperative interaction of the spin states we develop a simple model of sc with intra and intermolecular potentials which accounts for the elastic interaction including the effect of the inhomogeneity of the spin states and apply constant temperature molecular dynamics based on the nosehoover formalism we demonstrate that with increase of the strength of the intermolecular interactions the temperature dependence of the hs component changes from a gradual crossover to a firstorder transition
|
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|
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|
706.4136
|
An improved method for estimating source densities using the temporal
distribution of Cosmological Transients
|
It has been shown that the observed temporal distribution of transient events
in the cosmos can be used to constrain their rate density. Here we show that
the peak flux--observation time relation takes the form of a power law that is
invariant to the luminosity distribution of the sources, and that the method
can be greatly improved by invoking time reversal invariance and the temporal
cosmological principle. We demonstrate how the method can be used to constrain
distributions of transient events, by applying it to Swift gamma-ray burst data
and show that the peak flux--observation time relation is in good agreement
with recent estimates of source parameters. We additionally show that the
intrinsic time dependence allows the method to be used as a predictive tool.
Within the next year of Swift observation, we find a 50% chance of obtaining a
peak flux greater than that of GRB 060017 -- the highest Swift peak flux to
date -- and the same probability of detecting a burst with peak flux > 100
photons s^{-1} cm^{-2} within 6 years.
|
astro-ph
|
it has been shown that the observed temporal distribution of transient events in the cosmos can be used to constrain their rate density here we show that the peak fluxobservation time relation takes the form of a power law that is invariant to the luminosity distribution of the sources and that the method can be greatly improved by invoking time reversal invariance and the temporal cosmological principle we demonstrate how the method can be used to constrain distributions of transient events by applying it to swift gammaray burst data and show that the peak fluxobservation time relation is in good agreement with recent estimates of source parameters we additionally show that the intrinsic time dependence allows the method to be used as a predictive tool within the next year of swift observation we find a 50 chance of obtaining a peak flux greater than that of grb 060017 the highest swift peak flux to date and the same probability of detecting a burst with peak flux 100 photons s1 cm2 within 6 years
|
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|
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|
706.4137
|
Propagation Constraints and Classical Solutions in K-essence Like
Theories
|
We consider two examples of solutions of the equations of motion of scalar
field theories with higher derivatives. These are the cosmology of the rolling
tachyon and static spherically symmetric solutions of the scalar field in flat
space. By requiring that the field equations always be hyperbolic and that the
speed of propagation of the small fluctuations are not superluminal, we find
constraints on the form of the allowed interactions in the first case and on
the choice of boundary conditions in the latter. For the rolling tachyon we
find a general class of models which have the property that at large times the
tachyon matter behaves essentially like a non-relativistic gas of dust. For the
spherically symmetric solutions we show how causality influences the choice of
boundary conditions and those which are finite at the origin are shown to have
negative energy density there.
|
hep-th
|
we consider two examples of solutions of the equations of motion of scalar field theories with higher derivatives these are the cosmology of the rolling tachyon and static spherically symmetric solutions of the scalar field in flat space by requiring that the field equations always be hyperbolic and that the speed of propagation of the small fluctuations are not superluminal we find constraints on the form of the allowed interactions in the first case and on the choice of boundary conditions in the latter for the rolling tachyon we find a general class of models which have the property that at large times the tachyon matter behaves essentially like a nonrelativistic gas of dust for the spherically symmetric solutions we show how causality influences the choice of boundary conditions and those which are finite at the origin are shown to have negative energy density there
|
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|
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|
706.4138
|
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear
Norm Minimization
|
The affine rank minimization problem consists of finding a matrix of minimum
rank that satisfies a given system of linear equality constraints. Such
problems have appeared in the literature of a diverse set of fields including
system identification and control, Euclidean embedding, and collaborative
filtering. Although specific instances can often be solved with specialized
algorithms, the general affine rank minimization problem is NP-hard. In this
paper, we show that if a certain restricted isometry property holds for the
linear transformation defining the constraints, the minimum rank solution can
be recovered by solving a convex optimization problem, namely the minimization
of the nuclear norm over the given affine space. We present several random
ensembles of equations where the restricted isometry property holds with
overwhelming probability. The techniques used in our analysis have strong
parallels in the compressed sensing framework. We discuss how affine rank
minimization generalizes this pre-existing concept and outline a dictionary
relating concepts from cardinality minimization to those of rank minimization.
|
math.OC math.ST stat.TH
|
the affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints such problems have appeared in the literature of a diverse set of fields including system identification and control euclidean embedding and collaborative filtering although specific instances can often be solved with specialized algorithms the general affine rank minimization problem is nphard in this paper we show that if a certain restricted isometry property holds for the linear transformation defining the constraints the minimum rank solution can be recovered by solving a convex optimization problem namely the minimization of the nuclear norm over the given affine space we present several random ensembles of equations where the restricted isometry property holds with overwhelming probability the techniques used in our analysis have strong parallels in the compressed sensing framework we discuss how affine rank minimization generalizes this preexisting concept and outline a dictionary relating concepts from cardinality minimization to those of rank minimization
|
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|
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|
706.4139
|
Short Gamma-Ray Bursts and Binary Mergers in Spiral and Elliptical
Galaxies: Redshift Distribution and Hosts
|
To test whether the short GRB rates, redshift distribution and host galaxies
are consistent with current theoretical predictions, we use avery large
database of population synthesis calculations to examine BH-NS and NS-NS merger
rates in the universe, factoring in (i) the star formation history of the
universe, (ii) a heterogeneous population of star-forming galaxies, including
spirals and ellipticals, and (iii) a simple flux-limited selection model for
short GRB detection. When we require our models reproduce the known short GRB
rates and redshift measurements (and, for NS-NS, the merger rates extrapolated
from binary pulsars in the Galaxy), a small fraction of models reproduce all
observations, both when we assume a NS-NS and a BH-NS origin for bursts. Most
commonly models produce mergers preferentially in spiral galaxies if short GRBs
arise from NS-NS mergers alone. Model universes where present-day binary
mergers occur preferentially in elliptical galaxies necessarily include a
significant fraction of binaries with long delay times between birth and merger
(often $O(10{\rm Gyr})$). Though long delays occur, almost all of our models
predict that a higher proportion of short GRBs should occur at moderate to high
redshift (e.g., $z>1$) than has presently been observed, in agreement with
recent observations which suggest a selection bias towards successful follow-up
of low-redshift short GRBs. Finally, if only a fraction of BH-NS mergers have
the right combination of masses and spins to make GRBs, then at best only a
small fraction of BH-NS models could be consistent with all {\em current}
available data. (Abridged)
|
astro-ph
|
to test whether the short grb rates redshift distribution and host galaxies are consistent with current theoretical predictions we use avery large database of population synthesis calculations to examine bhns and nsns merger rates in the universe factoring in i the star formation history of the universe ii a heterogeneous population of starforming galaxies including spirals and ellipticals and iii a simple fluxlimited selection model for short grb detection when we require our models reproduce the known short grb rates and redshift measurements and for nsns the merger rates extrapolated from binary pulsars in the galaxy a small fraction of models reproduce all observations both when we assume a nsns and a bhns origin for bursts most commonly models produce mergers preferentially in spiral galaxies if short grbs arise from nsns mergers alone model universes where presentday binary mergers occur preferentially in elliptical galaxies necessarily include a significant fraction of binaries with long delay times between birth and merger often o10rm gyr though long delays occur almost all of our models predict that a higher proportion of short grbs should occur at moderate to high redshift eg z1 than has presently been observed in agreement with recent observations which suggest a selection bias towards successful followup of lowredshift short grbs finally if only a fraction of bhns mergers have the right combination of masses and spins to make grbs then at best only a small fraction of bhns models could be consistent with all em current available data abridged
|
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|
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|
706.414
|
Improbability of DUrca process constraints EOS
|
According to recent observational and theoretical progresses, the DUrca
process (direct Urca process) may be excluded from the category of neutron star
cooling mechanisms. This result combined with the latest nuclear symmetry
energy experiments, will provide us an independent way of testing the EOS
(equation of state) for supranormal density. For example, soft EOSs such as FPS
will probably be excluded.
|
astro-ph
|
according to recent observational and theoretical progresses the durca process direct urca process may be excluded from the category of neutron star cooling mechanisms this result combined with the latest nuclear symmetry energy experiments will provide us an independent way of testing the eos equation of state for supranormal density for example soft eoss such as fps will probably be excluded
|
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|
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|
706.4141
|
Quark-Lepton Symmetry and Quartification in Five Dimensions
|
We outline some features of higher dimensional models possessing a
Quark-Lepton (QL) symmetry. The QL symmetric model in five dimensions is
discussed, with particular emphasis on the use of split fermions. An
interesting fermionic geography which utilises the QL symmetry to suppress the
proton decay rate and to motivate the flavor differences in the quark and
leptonic sectors is considered. We discuss the quartification model in five
dimensions and contrast the features of this model with traditional four
dimensional constructs.
|
hep-ph
|
we outline some features of higher dimensional models possessing a quarklepton ql symmetry the ql symmetric model in five dimensions is discussed with particular emphasis on the use of split fermions an interesting fermionic geography which utilises the ql symmetry to suppress the proton decay rate and to motivate the flavor differences in the quark and leptonic sectors is considered we discuss the quartification model in five dimensions and contrast the features of this model with traditional four dimensional constructs
|
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|
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|
706.4142
|
Unified model of baryonic matter and dark components
|
We investigate an interacting two-fluid cosmological model and introduce a
scalar field representation by means of a linear combination of the individual
energy densities. Applying the integrability condition to the scalar field
equation we show that this "exotic quintessence" is driven by an exponential
potential and the two-fluid mixture can be considered as a model of three
components. These components are associated with baryonic matter, dark matter
and dark energy respectively. We use the Simon, Verde & Jimenez (2005)
determination of the redshift dependence of the Hubble parameter to constrain
the current density parameters of this model. With the best fit density
parameters we obtain the transition redshift between non accelerated and
accelerated regimes z_{acc}=0.66 and the time elapsed since the initial
singularity t_0= 19.8 Gyr. We study the perturbation evolution of this model
and find that the energy density perturbation decreases with the cosmological
time.
|
astro-ph hep-ph
|
we investigate an interacting twofluid cosmological model and introduce a scalar field representation by means of a linear combination of the individual energy densities applying the integrability condition to the scalar field equation we show that this exotic quintessence is driven by an exponential potential and the twofluid mixture can be considered as a model of three components these components are associated with baryonic matter dark matter and dark energy respectively we use the simon verde jimenez 2005 determination of the redshift dependence of the hubble parameter to constrain the current density parameters of this model with the best fit density parameters we obtain the transition redshift between non accelerated and accelerated regimes z_acc066 and the time elapsed since the initial singularity t_0 198 gyr we study the perturbation evolution of this model and find that the energy density perturbation decreases with the cosmological time
|
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|
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|
706.4143
|
Macroscopic non-equilibrium thermodynamics in dynamic calorimetry
|
What is really measured in dynamic calorimetric experiments is still an open
question. This paper is devoted to this question, which can be usefully
envisaged by means of macroscopic non-equilibrium thermodynamics. From the
pioneer work of De Donder on chemical reactions and with other authors along
the 20th century, the question is tackled under an historical point of view. A
special attention is paid about the notions of frequency dependent complex heat
capacity and entropy production due to irreversible processes occurring during
an experiment. This phenomenological approach based on thermodynamics, not
widely spread in the literature of calorimetry, could open significant
perspectives on the study of macro-systems undergoing physico-chemical
transformations probed by dynamic calorimetry.
|
cond-mat.soft
|
what is really measured in dynamic calorimetric experiments is still an open question this paper is devoted to this question which can be usefully envisaged by means of macroscopic nonequilibrium thermodynamics from the pioneer work of de donder on chemical reactions and with other authors along the 20th century the question is tackled under an historical point of view a special attention is paid about the notions of frequency dependent complex heat capacity and entropy production due to irreversible processes occurring during an experiment this phenomenological approach based on thermodynamics not widely spread in the literature of calorimetry could open significant perspectives on the study of macrosystems undergoing physicochemical transformations probed by dynamic calorimetry
|
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|
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|
706.4144
|
The Borel conjecture for manifolds with virtually solvable fundamental
groups
|
The article has been withdrawn by the author. Wolfgang Lueck and Peter
Linnell pointed out that the proof of Lemma 3.8 does not apply to the
unrestricted case of wreath product. It is not clear at this stage how to
complete the proof of Theorem 3.1 using the present version of Lemma 3.8. The
valid results originating from this article will be added in a later paper.
|
math.GT math.KT
|
the article has been withdrawn by the author wolfgang lueck and peter linnell pointed out that the proof of lemma 38 does not apply to the unrestricted case of wreath product it is not clear at this stage how to complete the proof of theorem 31 using the present version of lemma 38 the valid results originating from this article will be added in a later paper
|
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|
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|
706.4145
|
Ordered spin-ice state in the geometrically frustrated
metallic-ferromagnet Sm2Mo2O7
|
The recent discovery of Spin-ice is a spectacular example of non-coplanar
spin arrangements that can arise in the pyrochlore A2B2O7 structure. We present
magnetic and thermodynamic studies on the metallic-ferromagnet pyrochlore
Sm2Mo2O7. Our studies, carried out on oriented crystals, suggest that the Sm
spins have an ordered spin-ice ground state below about T* = 15 K. The
temperature- and field-evolution of the ordered spin-ice state are governed by
an antiferromagnetic coupling between the Sm and Mo spins. We propose that as a
consequence of a robust feature of this coupling, the tetrahedra aligned with
the external field adopt a "1-in, 3-out" spin structure as opposed to "3-in,
1-out" in dipolar spin ices, as the field exceeds a critical value.
|
cond-mat.str-el cond-mat.mtrl-sci
|
the recent discovery of spinice is a spectacular example of noncoplanar spin arrangements that can arise in the pyrochlore a2b2o7 structure we present magnetic and thermodynamic studies on the metallicferromagnet pyrochlore sm2mo2o7 our studies carried out on oriented crystals suggest that the sm spins have an ordered spinice ground state below about t 15 k the temperature and fieldevolution of the ordered spinice state are governed by an antiferromagnetic coupling between the sm and mo spins we propose that as a consequence of a robust feature of this coupling the tetrahedra aligned with the external field adopt a 1in 3out spin structure as opposed to 3in 1out in dipolar spin ices as the field exceeds a critical value
|
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|
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|
706.4146
|
X-Ray Spectroscopy of SN 1006 with Suzaku
|
We report on observations of SN 1006 with the X-ray Imaging Spectrometers
(XIS) on board Suzaku. We firmly detected K-shell emission from Fe, for the
first time, and find that the Fe ionization state is quite low. The broad band
spectrum extracted from the southeast of the remnant is well fitted with a
model consisting of three optically thin thermal non-equilibrium ionization
plasmas and a power-law component. Two of the thermal models are highly
overabundant in heavy elements and, hence, are likely due to ejecta. These
components have different ionization parameters: $n_et \sim 1.4\times 10^{10}$
cm$^{-3}$ s and $n_et \sim 7.7\times 10^8$ cm$^{-3}$ s and it is the later one
that produces the Fe-K emission. This suggests that Fe has been heated by the
reverse shock more recently than the other elements, consistent with a picture
where the ejecta are stratified by composition with Fe in the interior. On the
other hand, the third thermal component is assumed to be solar abundance, and
we associate it with emission from the interstellar medium (ISM). The electron
temperature and ionization parameter are $kT_e \sim $0.5 keV and $n_et \sim
5.8\times 10^9$ cm$^{-3}$ s. The electron temperature is lower than that
expected from the shock velocity which suggests a lack of collisionless
electron heating at the forward shock. The extremely low ionization parameter
and extreme non-equilibrium state are due to the low density of the ambient
medium.
|
astro-ph
|
we report on observations of sn 1006 with the xray imaging spectrometers xis on board suzaku we firmly detected kshell emission from fe for the first time and find that the fe ionization state is quite low the broad band spectrum extracted from the southeast of the remnant is well fitted with a model consisting of three optically thin thermal nonequilibrium ionization plasmas and a powerlaw component two of the thermal models are highly overabundant in heavy elements and hence are likely due to ejecta these components have different ionization parameters n_et sim 14times 1010 cm3 s and n_et sim 77times 108 cm3 s and it is the later one that produces the fek emission this suggests that fe has been heated by the reverse shock more recently than the other elements consistent with a picture where the ejecta are stratified by composition with fe in the interior on the other hand the third thermal component is assumed to be solar abundance and we associate it with emission from the interstellar medium ism the electron temperature and ionization parameter are kt_e sim 05 kev and n_et sim 58times 109 cm3 s the electron temperature is lower than that expected from the shock velocity which suggests a lack of collisionless electron heating at the forward shock the extremely low ionization parameter and extreme nonequilibrium state are due to the low density of the ambient medium
|
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|
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|
706.4147
|
Established pseudo solution of second-order Dirac-Coulomb equation with
position-dependent mass
|
We show that one of exact solutions of the second-order Dirac-Coulomb
equation were pseudo. In the corresponding original literature, it was
considered that the mass of the electron with a Coulomb potential was
position-dependent, but the obtained eigenvalues set was not the inevitable
mathematical deduction of the given second-order Dirac equation, and the
second-order Dirac equations were not the inevitable mathematical deduction of
the given couplet first-order Dirac equation with the position-dependent mass
of the electron. In the present paper, we obtain the correct solution of the
introduced first-order differential equations. This new solution would be
tenable only when the wave equation is correct, but there is not any experiment
date to validate the so-called position-dependent of the electron in the
Coulomb field.
|
physics.gen-ph
|
we show that one of exact solutions of the secondorder diraccoulomb equation were pseudo in the corresponding original literature it was considered that the mass of the electron with a coulomb potential was positiondependent but the obtained eigenvalues set was not the inevitable mathematical deduction of the given secondorder dirac equation and the secondorder dirac equations were not the inevitable mathematical deduction of the given couplet firstorder dirac equation with the positiondependent mass of the electron in the present paper we obtain the correct solution of the introduced firstorder differential equations this new solution would be tenable only when the wave equation is correct but there is not any experiment date to validate the socalled positiondependent of the electron in the coulomb field
|
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|
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|
706.4148
|
Free energy density for mean field perturbation of states of a
one-dimensional spin chain
|
Motivated by recent developments on large deviations in states of the spin
chain, we reconsider the work of Petz, Raggio and Verbeure in 1989 on the
variational expression of free energy density in the presence of a mean field
type perturbation. We extend their results from the product state case to the
Gibbs state case in the setting of translation-invariant interactions of finite
range. In the special case of a locally faithful quantum Markov state, we
clarify the relation between two different kinds of free energy densities (or
pressure functions).
|
math-ph math.MP
|
motivated by recent developments on large deviations in states of the spin chain we reconsider the work of petz raggio and verbeure in 1989 on the variational expression of free energy density in the presence of a mean field type perturbation we extend their results from the product state case to the gibbs state case in the setting of translationinvariant interactions of finite range in the special case of a locally faithful quantum markov state we clarify the relation between two different kinds of free energy densities or pressure functions
|
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|
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|
706.4149
|
Integrating cavity quantum electrodynamics and ultracold-atom chips with
on-chip dielectric mirrors and temperature stabilization
|
We have fabricated an atom chip device which combines the circuitry for
magnetic trapping of cold atoms with high-finesse optical resonators suitable
for cavity QED in the single-atom strong coupling regime. Fabry-Perot optical
resonators with finesse F > 2 X 10^5 were formed between a micropatterned
on-chip planar mirror with lateral dimension of < 100 um and a curved mirror
suspended above the chip. The strong and rapid thermal coupling between on-chip
electrical and optical elements was utilized to stabilize the cavity mirror
separation with servo bandwidth exceeding 100 kHz during simulated operation of
the atom chip.
|
quant-ph
|
we have fabricated an atom chip device which combines the circuitry for magnetic trapping of cold atoms with highfinesse optical resonators suitable for cavity qed in the singleatom strong coupling regime fabryperot optical resonators with finesse f 2 x 105 were formed between a micropatterned onchip planar mirror with lateral dimension of 100 um and a curved mirror suspended above the chip the strong and rapid thermal coupling between onchip electrical and optical elements was utilized to stabilize the cavity mirror separation with servo bandwidth exceeding 100 khz during simulated operation of the atom chip
|
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|
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|
706.415
|
Energy gap measurement of nanostructured thin aluminium films for use in
single Cooper-pair devices
|
Within the context of superconducting gap engineering, Al-\alox-Al tunnel
junctions have been used to study the variation in superconducting gap,
$\Delta$, with film thickness. Films of thickness 5, 7, 10 and 30 nm were used
to form the small area superconductor-insulator-superconductor (SIS) tunnel
junctions. In agreement with previous measurements we have observed an increase
in the superconducting energy gap of aluminium with a decrease in film
thickness. In addition, we find grain size in small area films with thickness
\textbf{$\geq$} 10 nm has no appreciable effect on energy gap. Finally, we
utilize 7 and 30 nm films in a single Cooper-pair transistor, and observe the
modification of the finite bias transport processes due to the engineered gap
profile.
|
cond-mat.supr-con cond-mat.mes-hall
|
within the context of superconducting gap engineering alaloxal tunnel junctions have been used to study the variation in superconducting gap delta with film thickness films of thickness 5 7 10 and 30 nm were used to form the small area superconductorinsulatorsuperconductor sis tunnel junctions in agreement with previous measurements we have observed an increase in the superconducting energy gap of aluminium with a decrease in film thickness in addition we find grain size in small area films with thickness textbfgeq 10 nm has no appreciable effect on energy gap finally we utilize 7 and 30 nm films in a single cooperpair transistor and observe the modification of the finite bias transport processes due to the engineered gap profile
|
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|
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|
706.4151
|
Directed percolation criticality in turbulent liquid crystals
|
We experimentally investigate the critical behavior of a phase transition
between two topologically different turbulent states of electrohydrodynamic
convection in nematic liquid crystals. The statistical properties of the
observed spatiotemporal intermittency regimes are carefully determined,
yielding a complete set of static critical exponents in full agreement with
those defining the directed percolation class in (2+1) dimensions. This
constitutes the first clear and comprehensive experimental evidence of an
absorbing phase transition in this prominent non-equilibrium universality
class.
|
cond-mat.stat-mech
|
we experimentally investigate the critical behavior of a phase transition between two topologically different turbulent states of electrohydrodynamic convection in nematic liquid crystals the statistical properties of the observed spatiotemporal intermittency regimes are carefully determined yielding a complete set of static critical exponents in full agreement with those defining the directed percolation class in 21 dimensions this constitutes the first clear and comprehensive experimental evidence of an absorbing phase transition in this prominent nonequilibrium universality class
|
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|
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|
706.4152
|
Scaling of hysteresis loops at phase transitions into a quasiabsorbing
state
|
Models undergoing a phase transition to an absorbing state weakly broken by
the addition of a very low spontaneous nucleation rate are shown to exhibit
hysteresis loops whose width $\Delta\lambda$ depends algebraically on the ramp
rate $r$. Analytical arguments and numerical simulations show that
$\Delta\lambda \sim r^{\kappa}$ with $\kappa = 1/(\beta'+1)$, where $\beta'$ is
the critical exponent governing the survival probability of a seed near
threshold. These results explain similar hysteresis scaling observed before in
liquid crystal convection experiments. This phenomenon is conjectured to occur
in a variety of other experimental systems.
|
cond-mat.stat-mech
|
models undergoing a phase transition to an absorbing state weakly broken by the addition of a very low spontaneous nucleation rate are shown to exhibit hysteresis loops whose width deltalambda depends algebraically on the ramp rate r analytical arguments and numerical simulations show that deltalambda sim rkappa with kappa 1beta1 where beta is the critical exponent governing the survival probability of a seed near threshold these results explain similar hysteresis scaling observed before in liquid crystal convection experiments this phenomenon is conjectured to occur in a variety of other experimental systems
|
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|
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|
706.4153
|
Non-perturbative renormalization of static-light four-fermion operators
in quenched lattice QCD
|
We perform a non-perturbative study of the scale-dependent renormalization
factors of a multiplicatively renormalizable basis of $\Delta{B}=2$ parity-odd
four-fermion operators in quenched lattice QCD. Heavy quarks are treated in the
static approximation with various lattice discretizations of the static action.
Light quarks are described by non-perturbatively ${\rm O}(a)$ improved
Wilson-type fermions. The renormalization group running is computed for a
family of Schroedinger functional (SF) schemes through finite volume techniques
in the continuum limit. We compute non-perturbatively the relation between the
renormalization group invariant operators and their counterparts renormalized
in the SF at a low energy scale. Furthermore, we provide non-perturbative
estimates for the matching between the lattice regularized theory and all the
SF schemes considered.
|
hep-lat hep-ph
|
we perform a nonperturbative study of the scaledependent renormalization factors of a multiplicatively renormalizable basis of deltab2 parityodd fourfermion operators in quenched lattice qcd heavy quarks are treated in the static approximation with various lattice discretizations of the static action light quarks are described by nonperturbatively rm oa improved wilsontype fermions the renormalization group running is computed for a family of schroedinger functional sf schemes through finite volume techniques in the continuum limit we compute nonperturbatively the relation between the renormalization group invariant operators and their counterparts renormalized in the sf at a low energy scale furthermore we provide nonperturbative estimates for the matching between the lattice regularized theory and all the sf schemes considered
|
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|
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|
706.4154
|
A Formation Mechanism of Collapsar Black Hole -- early evolution phase
|
The latest studies of massive star evolution indicate that an initially
rapidly rotating star with sufficiently low metallicity can produce a rapidly
rotating, massive stellar core that could be a progenitor of long-soft
gamma-ray bursts (LGRBs). Motivated by these studies, we follow the collapse of
a rapidly rotating massive stellar core to a 'collapsar' black hole (BH)
surrounded by a massive, hot accretion disk performing fully general
relativistic simulations. We focus on the general relativistic dynamics of the
collapse, and the relevant microphysics is treated in a qualitative manner. The
simulations are performed until the system consisting of the BH and the disk
has relaxed to a quasi-stationary state. A novel mechanism found in this study
is that strong shock waves are formed at the inner part of the disk after the
formation of the BH. These shock waves propagate mainly along the rotation
axis, heating the disk and sweeping materials around the rotational axis, and
thereby forming a low density region. The temperature of the disk is high
enough for copious neutrino emission. All these features indicate that the
direct formation of a rapidly rotating BH is a promising source of LGRBs even
in the absence of strong magnetic fields.
|
astro-ph
|
the latest studies of massive star evolution indicate that an initially rapidly rotating star with sufficiently low metallicity can produce a rapidly rotating massive stellar core that could be a progenitor of longsoft gammaray bursts lgrbs motivated by these studies we follow the collapse of a rapidly rotating massive stellar core to a collapsar black hole bh surrounded by a massive hot accretion disk performing fully general relativistic simulations we focus on the general relativistic dynamics of the collapse and the relevant microphysics is treated in a qualitative manner the simulations are performed until the system consisting of the bh and the disk has relaxed to a quasistationary state a novel mechanism found in this study is that strong shock waves are formed at the inner part of the disk after the formation of the bh these shock waves propagate mainly along the rotation axis heating the disk and sweeping materials around the rotational axis and thereby forming a low density region the temperature of the disk is high enough for copious neutrino emission all these features indicate that the direct formation of a rapidly rotating bh is a promising source of lgrbs even in the absence of strong magnetic fields
|
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|
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|
706.4155
|
Phonon-assisted decoherence in the production of polarization-entangled
photons in a single semiconductor quantum dot
|
We theoretically investigate the production of polarization-entangled photons
through the biexciton cascade decay in a single semiconductor quantum dot. In
the intermediate state the entanglement is encoded in the polarizations of the
first emitted photon and the exciton, where the exciton state can be
effectively ``measured'' by the solid state environment through the formation
of a lattice distortion. We show that the resulting loss of entanglement
becomes drastically enhanced if the phonons contributing to the lattice
distortion are subject to elastic scatterings at the device boundaries, which
might constitute a serious limitation for quantum-dot based entangled-photon
devices.
|
cond-mat.mes-hall
|
we theoretically investigate the production of polarizationentangled photons through the biexciton cascade decay in a single semiconductor quantum dot in the intermediate state the entanglement is encoded in the polarizations of the first emitted photon and the exciton where the exciton state can be effectively measured by the solid state environment through the formation of a lattice distortion we show that the resulting loss of entanglement becomes drastically enhanced if the phonons contributing to the lattice distortion are subject to elastic scatterings at the device boundaries which might constitute a serious limitation for quantumdot based entangledphoton devices
|
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|
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|
706.4156
|
Glitches in Anomalous X-ray Pulsars
|
(Abridged) We report on 8.7 and 7.6 yr of RXTE observations of the Anomalous
X-ray Pulsars (AXPs) RXS J170849.0-400910 and 1E 1841-045, respectively. These
observations, part of a larger RXTE AXP monitoring program, have allowed us to
study the long-term timing, pulsed flux, and pulse profile evolution of these
objects. We report on four new glitches, one from RXS J170849.0-400910 and
three from 1E 1841-045. With nearly all known persistent AXPs now seen to
glitch, such behavior is clearly generic to this source class. We show that in
terms of fractional frequency change, AXPs are among the most actively
glitching neutron stars. However, in terms of absolute glitch amplitude, AXP
glitches are unremarkable. We show that the largest AXP glitches observed thus
far have recoveries that are unusual among those of radio pulsar glitches, with
the combination of recovery time scale and fraction yielding changes in
spin-down rates following the glitch similar to, or larger than, the long-term
average. We also observed a large long-term fractional increase in the
magnitude of the spin-down rate of 1E 1841-045 following its largest glitch.
These observations are challenging to interpret in standard glitch models, as
is the frequent occurence of large glitches given AXPs' high measured
temperatures. We speculate that the stellar core may be involved in the largest
AXP glitches. Furthermore, we show that AXP glitches appear to fall in two
classes: radiatively loud and radiatively quiet. The latter, of which the
glitches of J170849.0-400910 and 1E 1841-045 are examples, show little evidence
for an accompanying radiative event. We also show, however, that pulse profile
and pulsed flux changes are common in these AXPs, but do not apprear closely
correlated with any timing behavior.
|
astro-ph
|
abridged we report on 87 and 76 yr of rxte observations of the anomalous xray pulsars axps rxs j1708490400910 and 1e 1841045 respectively these observations part of a larger rxte axp monitoring program have allowed us to study the longterm timing pulsed flux and pulse profile evolution of these objects we report on four new glitches one from rxs j1708490400910 and three from 1e 1841045 with nearly all known persistent axps now seen to glitch such behavior is clearly generic to this source class we show that in terms of fractional frequency change axps are among the most actively glitching neutron stars however in terms of absolute glitch amplitude axp glitches are unremarkable we show that the largest axp glitches observed thus far have recoveries that are unusual among those of radio pulsar glitches with the combination of recovery time scale and fraction yielding changes in spindown rates following the glitch similar to or larger than the longterm average we also observed a large longterm fractional increase in the magnitude of the spindown rate of 1e 1841045 following its largest glitch these observations are challenging to interpret in standard glitch models as is the frequent occurence of large glitches given axps high measured temperatures we speculate that the stellar core may be involved in the largest axp glitches furthermore we show that axp glitches appear to fall in two classes radiatively loud and radiatively quiet the latter of which the glitches of j1708490400910 and 1e 1841045 are examples show little evidence for an accompanying radiative event we also show however that pulse profile and pulsed flux changes are common in these axps but do not apprear closely correlated with any timing behavior
|
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|
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|
706.4157
|
Adaptive dynamics in logistic branching populations
|
We consider a trait-structured population subject to mutation, birth and
competition of logistic type, where the number of coexisting types may
fluctuate. Applying a limit of rare mutations to this population while keeping
the population size finite leads to a jump process, the so-called `trait
substitution sequence', where evolution proceeds by successive invasions and
fixations of mutant types. The probability of fixation of a mutant is
interpreted as a fitness landscape that depends on the current state of the
population. It was in adaptive dynamics that this kind of model was first
invented and studied, under the additional assumption of large population.
Assuming also small mutation steps, adaptive dynamics' theory provides a
deterministic ODE approximating the evolutionary dynamics of the dominant trait
of the population, called `canonical equation of adaptive dynamics'. In this
work, we want to include genetic drift in this models by keeping the population
finite. Rescaling mutation steps (weak selection) yields in this case a
diffusion on the trait space that we call `canonical diffusion of adaptive
dynamics', in which genetic drift (diffusive term) is combined with directional
selection (deterministic term) driven by the fitness gradient. Finally, in
order to compute the coefficients of this diffusion, we seek explicit
first-order formulae for the probability of fixation of a nearly neutral mutant
appearing in a resident population. These formulae are expressed in terms of
`invasibility coefficients' associated with fertility, defense, aggressiveness
and isolation, which measure the robustness (stability w.r.t. selective
strengths) of the resident type. Some numerical results on the canonical
diffusion are also given.
|
math.PR
|
we consider a traitstructured population subject to mutation birth and competition of logistic type where the number of coexisting types may fluctuate applying a limit of rare mutations to this population while keeping the population size finite leads to a jump process the socalled trait substitution sequence where evolution proceeds by successive invasions and fixations of mutant types the probability of fixation of a mutant is interpreted as a fitness landscape that depends on the current state of the population it was in adaptive dynamics that this kind of model was first invented and studied under the additional assumption of large population assuming also small mutation steps adaptive dynamics theory provides a deterministic ode approximating the evolutionary dynamics of the dominant trait of the population called canonical equation of adaptive dynamics in this work we want to include genetic drift in this models by keeping the population finite rescaling mutation steps weak selection yields in this case a diffusion on the trait space that we call canonical diffusion of adaptive dynamics in which genetic drift diffusive term is combined with directional selection deterministic term driven by the fitness gradient finally in order to compute the coefficients of this diffusion we seek explicit firstorder formulae for the probability of fixation of a nearly neutral mutant appearing in a resident population these formulae are expressed in terms of invasibility coefficients associated with fertility defense aggressiveness and isolation which measure the robustness stability wrt selective strengths of the resident type some numerical results on the canonical diffusion are also given
|
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|
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|
706.4158
|
Decay estimates of a tangential derivative to the light cone for the
wave equation and their application
|
We consider wave equations in three space dimensions, and obtain new weighted
$L^\infty$-$L^\infty$ estimates for a tangential derivative to the light cone.
As an application, we give a new proof of the global existence theorem, which
was originally proved by Klainerman and Christodoulou, for systems of nonlinear
wave equations under the null condition. Our new proof has the advantage of
using neither the scaling nor the pseudo-rotation operators.
|
math.AP
|
we consider wave equations in three space dimensions and obtain new weighted linftylinfty estimates for a tangential derivative to the light cone as an application we give a new proof of the global existence theorem which was originally proved by klainerman and christodoulou for systems of nonlinear wave equations under the null condition our new proof has the advantage of using neither the scaling nor the pseudorotation operators
|
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|
[-0.14843666904797667, 0.04907102495460148, -0.1300212151477086, 0.07973452034639195, -0.12524590721038883, -0.09676717432654079, 0.0029986044255030505, 0.23956512131125612, -0.2225202919833143, -0.2378680826000431, 0.15668552216683404, -0.2264817294472938, -0.15828060775118716, 0.23107933926889124, -0.05977392573293079, 0.06485311137101449, 0.01975824395605527, -0.0012983600814443302, -0.10791633171988103, -0.2492932185619686, 0.3894256552243057, -0.015392293105833232, 0.24308157082208814, 0.06900436749856453, 0.16561396267977269, 0.07056015868917764, -0.02114137586699251, -0.018483252189659707, -0.1516987845123581, 0.10089482788873069, 0.15598521434517085, 0.11194772045949802, 0.2708092961624703, -0.41829035277752313, -0.23356128216255456, 0.09859969632645302, 0.11533317215028493, 0.10857275167226736, -0.05609579882644432, -0.3308278564911555, 0.08419212077484083, -0.10358814189128358, -0.24815207545522272, -0.10107713807990555, 0.01882217523148831, 0.048620328170192594, -0.30131943363641556, 0.06723461017998703, 0.13658034112578368, 0.04971055889173465, -0.12321941633297898, -0.07319897707031273, 0.00100236020722043, 0.028562970075975445, 0.045326494747046926, 0.022456981248550993, -0.0055993794573142245, -0.04734298170489423, -0.11903253708527807, 0.3237316636642551, -0.0973269651260446, -0.26441770403043313, 0.1457716111532029, -0.11659796012099832, -0.11412204964332939, 0.09259047666153171, 0.15224727407536087, 0.15183964735992692, -0.1689349174613359, 0.12579512724700823, -0.07796766752033042, 0.11483710586531636, 0.12590914641452186, 0.024654039277640337, 0.11380775489584159, 0.10445197711370009, 0.14974797632106962, 0.1343930725227384, -0.04044266875151901, -0.06173580647994052, -0.3630011532017413, -0.21558826641343973, -0.17389181211097715, 0.06828993380515706, -0.08987014006561367, -0.17611755477264524, 0.37634440360125154, 0.0796756474309779, 0.12452449599582263, 0.11171674082459718, 0.242119864341529, 0.18969641512889854, 0.0449245806564303, 0.0932290449135882, 0.27019775462994244, 0.19727895496865078, 0.13897236288689516, -0.1465602528769523, 0.020989687791477668, 0.20649865267606562]
|
706.4159
|
Multimode analysis of the light emitted from a pulsed optical parametric
oscillator
|
We present a multimode treatment of the optical parametric oscillator, which
is valid for both pulsed and continuous-wave pump fields. The two-time
correlation functions of the output field are derived, and we apply the theory
to analyze a scheme for heralded production of non-classical field states that
may be subsequently stored in an atomic quantum memory.
|
quant-ph
|
we present a multimode treatment of the optical parametric oscillator which is valid for both pulsed and continuouswave pump fields the twotime correlation functions of the output field are derived and we apply the theory to analyze a scheme for heralded production of nonclassical field states that may be subsequently stored in an atomic quantum memory
|
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|
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|
706.416
|
Explicit formulas for biharmonic submanifolds in Sasakian space forms
|
We classify the biharmonic Legendre curves in a Sasakian space form, and
obtain their explicit parametric equations in the $(2n+1)$-dimensional unit
sphere endowed with the canonical and deformed Sasakian structures defined by
Tanno. Then, composing with the flow of the Reeb vector field, we transform a
biharmonic integral submanifold into a biharmonic anti-invariant submanifold.
Using this method we obtain new examples of biharmonic submanifolds in spheres
and, in particular, in $\mathbb{S}^{7}$.
|
math.DG
|
we classify the biharmonic legendre curves in a sasakian space form and obtain their explicit parametric equations in the 2n1dimensional unit sphere endowed with the canonical and deformed sasakian structures defined by tanno then composing with the flow of the reeb vector field we transform a biharmonic integral submanifold into a biharmonic antiinvariant submanifold using this method we obtain new examples of biharmonic submanifolds in spheres and in particular in mathbbs7
|
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|
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|
706.4161
|
The Domino Problem of the Hyperbolic Plane Is Undecidable
|
In this paper, we prove that the general tiling problem of the hyperbolic
plane is undecidable by proving a slightly stronger version using only a
regular polygon as the basic shape of the tiles. The problem was raised by a
paper of Raphael Robinson in 1971, in his famous simplified proof that the
general tiling problem is undecidable for the Euclidean plane, initially proved
by Robert Berger in 1966.
|
cs.CG cs.DM
|
in this paper we prove that the general tiling problem of the hyperbolic plane is undecidable by proving a slightly stronger version using only a regular polygon as the basic shape of the tiles the problem was raised by a paper of raphael robinson in 1971 in his famous simplified proof that the general tiling problem is undecidable for the euclidean plane initially proved by robert berger in 1966
|
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|
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|
706.4162
|
The entanglement of the XY spin chain in a random magnetic field
|
We investigate the entanglement of the ferromagnetic XY model in a random
magnetic field at zero temperature and in the uniform magnetic field at finite
temperatures. We use the concurrence to quantify the entanglement. We find
that, in the ferromagnetic region of the uniform magnetic field $h$, all the
concurrences are \textit{generated} by the random magnetic field and by the
thermal fluctuation. In one particular region of $h$, the next-nearest neighbor
concurrence is generated by the random field but not at finite temperatures. We
also find that the qualitative behavior of the maximum point of the
entanglement in the random magnetic field depends on whether the variance of
its distribution function is finite or not.
|
quant-ph cond-mat.dis-nn cond-mat.stat-mech
|
we investigate the entanglement of the ferromagnetic xy model in a random magnetic field at zero temperature and in the uniform magnetic field at finite temperatures we use the concurrence to quantify the entanglement we find that in the ferromagnetic region of the uniform magnetic field h all the concurrences are textitgenerated by the random magnetic field and by the thermal fluctuation in one particular region of h the nextnearest neighbor concurrence is generated by the random field but not at finite temperatures we also find that the qualitative behavior of the maximum point of the entanglement in the random magnetic field depends on whether the variance of its distribution function is finite or not
|
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|
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|
706.4163
|
Variational Principles for Constrained Electromagnetic Field and
Papapetrou Equation
|
In our previous article [4] an approach to derive Papapetrou equations for
constrained electromagnetic field was demonstrated by use of field variational
principles. The aim of current work is to present more universal technique of
deduction of the equations which could be applied to another types of
non-scalar fields. It is based on Noether theorem formulated in terms of
Cartan' formalism of orthonormal frames. Under infinitesimal coordinate
transformation the one leads to equation which includes volume force of
spin-gravitational interaction. Papapetrou equation for vector of propagation
of the wave is derived on base of the equation. Such manner of deduction allows
to formulate more accurately the constraints and clarify equations for the
potential and for spin.
|
gr-qc
|
in our previous article 4 an approach to derive papapetrou equations for constrained electromagnetic field was demonstrated by use of field variational principles the aim of current work is to present more universal technique of deduction of the equations which could be applied to another types of nonscalar fields it is based on noether theorem formulated in terms of cartan formalism of orthonormal frames under infinitesimal coordinate transformation the one leads to equation which includes volume force of spingravitational interaction papapetrou equation for vector of propagation of the wave is derived on base of the equation such manner of deduction allows to formulate more accurately the constraints and clarify equations for the potential and for spin
|
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|
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|
706.4164
|
Harmonic analysis of additive Levy processes
|
Let $X_1,...,X_N$ denote $N$ independent $d$-dimensional L\'evy processes,
and consider the $N$-parameter random field \[\X(\bm{t}):=
X_1(t_1)+...+X_N(t_N).\] First we demonstrate that for all nonrandom Borel sets
$F\subseteq\R^d$, the Minkowski sum $\X(\R^N_+)\oplus F$, of the range
$\X(\R^N_+)$ of $\X$ with $F$, can have positive $d$-dimensional Lebesgue
measure if and only if a certain capacity of $F$ is positive. This improves our
earlier joint effort with Yuquan Zhong \ycite{KXZ:03} by removing a
symmetry-type condition there. Moreover, we show that under mild regularity
conditions, our necessary and sufficient condition can be recast in terms of
one-potential densities. This rests on developing results in classical
[non-probabilistic] harmonic analysis that might be of independent interest. As
was shown in \fullocite{KXZ:03}, the potential theory of the type studied here
has a large number of consequences in the theory of L\'evy processes. We
present a few new consequences here.
|
math.PR
|
let x_1x_n denote n independent ddimensional levy processes and consider the nparameter random field xbmt x_1t_1x_nt_n first we demonstrate that for all nonrandom borel sets fsubseteqrd the minkowski sum xrn_oplus f of the range xrn_ of x with f can have positive ddimensional lebesgue measure if and only if a certain capacity of f is positive this improves our earlier joint effort with yuquan zhong ycitekxz03 by removing a symmetrytype condition there moreover we show that under mild regularity conditions our necessary and sufficient condition can be recast in terms of onepotential densities this rests on developing results in classical nonprobabilistic harmonic analysis that might be of independent interest as was shown in fullocitekxz03 the potential theory of the type studied here has a large number of consequences in the theory of levy processes we present a few new consequences here
|
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|
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|
706.4165
|
Probing new physics in the Neutrinoless double beta decay using electron
angular correlation
|
The angular correlation of the electrons emitted in the neutrinoless double
beta decay ($0\nu2\beta$) is presented using a general Lorentz invariant
effective Lagrangian for the leptonic and hadronic charged weak currents. We
show that the coefficient $K$ in the angular correlation $d\Gamma/d\cos \theta
\propto (1-K\cos \theta)$ is essentially independent of the nuclear matrix
element models and present its numerical values for the five nuclei of interest
($^{76}{Ge}$, $^{82}{Se}$, $^{100}{Mo}$, $^{130}{Te}$, and $^{136}{Xe}$),
assuming that the $0\nu2\beta$-decays in these nuclei are induced solely by a
light Majorana neutrino, $\nu_M$. This coefficient varies between $K=0.81$ (for
the $^{76}{Ge}$ nucleus) and $K=0.88$ (for the $^{82}{Se}$ and $^{100}{Mo}$
nuclei), calculated taking into account the effects from the nucleon recoil,
the $S$ and $P$-waves for the outgoing electrons and the electron mass.
Deviation of $K$ from its values derived here would indicate the presence of
New Physics (NP) in addition to a light Majorana neutrino, and we work out the
angular coefficients in several $\nu_M + {NP}$ scenarios for the $^{76}{Ge}$
nucleus. As an illustration of the correlations among the $0\nu2\beta$
observables (half-life $T_{1/2}$, the coefficient $K$, and the effective
Majorana neutrino mass $|< m>|$) and the parameters of the underlying NP model,
we analyze the left-right symmetric models, taking into account current
phenomenological bounds on the right-handed $W_R$-boson mass and the left-right
mixing parameter $\zeta$.
|
hep-ph hep-ex nucl-th
|
the angular correlation of the electrons emitted in the neutrinoless double beta decay 0nu2beta is presented using a general lorentz invariant effective lagrangian for the leptonic and hadronic charged weak currents we show that the coefficient k in the angular correlation dgammadcos theta propto 1kcos theta is essentially independent of the nuclear matrix element models and present its numerical values for the five nuclei of interest 76ge 82se 100mo 130te and 136xe assuming that the 0nu2betadecays in these nuclei are induced solely by a light majorana neutrino nu_m this coefficient varies between k081 for the 76ge nucleus and k088 for the 82se and 100mo nuclei calculated taking into account the effects from the nucleon recoil the s and pwaves for the outgoing electrons and the electron mass deviation of k from its values derived here would indicate the presence of new physics np in addition to a light majorana neutrino and we work out the angular coefficients in several nu_m np scenarios for the 76ge nucleus as an illustration of the correlations among the 0nu2beta observables halflife t_12 the coefficient k and the effective majorana neutrino mass m and the parameters of the underlying np model we analyze the leftright symmetric models taking into account current phenomenological bounds on the righthanded w_rboson mass and the leftright mixing parameter zeta
|
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|
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|
706.4166
|
WMAPping the Inflationary Universe
|
An epoch of accelerated expansion, or inflation, in the early universe solves
several cosmological problems. While there are many models of inflation only
recently has it become possible to discriminate between some of the models
using observations of the cosmic microwave background radiation and large-scale
structure. In this talk, we discuss inflation and its observational
consequences, and then the status of current cosmological observations and
their implications for different models of inflation.
|
hep-ph astro-ph
|
an epoch of accelerated expansion or inflation in the early universe solves several cosmological problems while there are many models of inflation only recently has it become possible to discriminate between some of the models using observations of the cosmic microwave background radiation and largescale structure in this talk we discuss inflation and its observational consequences and then the status of current cosmological observations and their implications for different models of inflation
|
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|
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|
706.4167
|
Study of the decay mechanism for B+ to p pbar K+ and B+ to p pbar pi+
|
We study the characteristics of the low mass ppbar enhancements near
threshold in the three-body decays B+ to p pbar K+ and B+ to p pbar pi+. We
observe that the proton polar angle distributions in the ppbar helicity frame
in the two decays have the opposite polarity, and measure the forward-backward
asymmetries as a function of the ppbar mass for the p pbar K+ mode. We also
search for the intermediate two-body decays, B+ to pbar Delta++ and B+ to p
Delta0bar, and set upper limits on their branching fractions. These results are
obtained from a 414 fb^{-1} data sample that contains 449 times 10^6 BBbar
events collected near the Upsilon(4S) resonance with the Belle detector at the
KEKB asymmetric-energy e+ e- collider.
|
hep-ex
|
we study the characteristics of the low mass ppbar enhancements near threshold in the threebody decays b to p pbar k and b to p pbar pi we observe that the proton polar angle distributions in the ppbar helicity frame in the two decays have the opposite polarity and measure the forwardbackward asymmetries as a function of the ppbar mass for the p pbar k mode we also search for the intermediate twobody decays b to pbar delta and b to p delta0bar and set upper limits on their branching fractions these results are obtained from a 414 fb1 data sample that contains 449 times 106 bbbar events collected near the upsilon4s resonance with the belle detector at the kekb asymmetricenergy e e collider
|
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|
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|
706.4168
|
Symmetry invariance, anticommutativity and nilpotency in BRST approach
to QED: superfield formalism
|
We provide the geometrical interpretation for the Becchi-Rouet-Stora-Tyutin
(BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3
+ 1)-dimensional (4D) interacting U(1) gauge theory within the framework of
superfield approach to BRST formalism. This interacting theory, where there is
an explicit coupling between the U(1) gauge field and matter (Dirac) fields, is
considered on a (4, 2)-dimensional supermanifold parametrized by the four
spacetime variables x^\mu (\mu = 0, 1, 2, 3) and a pair of Grassmannian
variables \theta and \bar\theta (with \theta^2 = \bar \theta^2 = 0, \theta
\bar\theta + \bar \theta \theta = 0$). We express the Lagrangian density and
(anti-)BRST charges in the language of the superfields and show that (i) the
(anti-)BRST invariance of the 4D Lagrangian density is equivalent to the
translation of the super Lagrangian density along the Grassmannian direction(s)
(\theta and/or \bar\theta) of the (4, 2)-dimensional supermanifold such that
the outcome of the above translation(s) is zero, and (ii) the anticommutativity
and nilpotency of the (anti-)BRST charges are the automatic consequences of our
superfield formulation.
|
hep-th
|
we provide the geometrical interpretation for the becchirouetstoratyutin brst and antibrst symmetry invariance of the lagrangian density of a four 3 1dimensional 4d interacting u1 gauge theory within the framework of superfield approach to brst formalism this interacting theory where there is an explicit coupling between the u1 gauge field and matter dirac fields is considered on a 4 2dimensional supermanifold parametrized by the four spacetime variables xmu mu 0 1 2 3 and a pair of grassmannian variables theta and bartheta with theta2 bar theta2 0 theta bartheta bar theta theta 0 we express the lagrangian density and antibrst charges in the language of the superfields and show that i the antibrst invariance of the 4d lagrangian density is equivalent to the translation of the super lagrangian density along the grassmannian directions theta andor bartheta of the 4 2dimensional supermanifold such that the outcome of the above translations is zero and ii the anticommutativity and nilpotency of the antibrst charges are the automatic consequences of our superfield formulation
|
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|
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|
706.4169
|
Subsampling needlet coefficients on the sphere
|
In a recent paper, we analyzed the properties of a new kind of spherical
wavelets (called needlets) for statistical inference procedures on spherical
random fields; the investigation was mainly motivated by applications to
cosmological data. In the present work, we exploit the asymptotic uncorrelation
of random needlet coefficients at fixed angular distances to construct
subsampling statistics evaluated on Voronoi cells on the sphere. We illustrate
how such statistics can be used for isotropy tests and for bootstrap estimation
of nuisance parameters, even when a single realization of the spherical random
field is observed. The asymptotic theory is developed in detail in the high
resolution sense.
|
math.ST astro-ph math.PR stat.TH
|
in a recent paper we analyzed the properties of a new kind of spherical wavelets called needlets for statistical inference procedures on spherical random fields the investigation was mainly motivated by applications to cosmological data in the present work we exploit the asymptotic uncorrelation of random needlet coefficients at fixed angular distances to construct subsampling statistics evaluated on voronoi cells on the sphere we illustrate how such statistics can be used for isotropy tests and for bootstrap estimation of nuisance parameters even when a single realization of the spherical random field is observed the asymptotic theory is developed in detail in the high resolution sense
|
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|
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|
706.417
|
Hilbert++ Manual
|
We present here an installation guide, a hand-on mini-tutorial through
examples, and the theoretical foundations of the Hilbert++ code.
|
cs.OH cond-mat.str-el
|
we present here an installation guide a handon minitutorial through examples and the theoretical foundations of the hilbert code
|
[['we', 'present', 'here', 'an', 'installation', 'guide', 'a', 'handon', 'minitutorial', 'through', 'examples', 'and', 'the', 'theoretical', 'foundations', 'of', 'the', 'hilbert', 'code']]
|
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|
706.4171
|
Local dark energy: HST evidence from the vicinity of the M 81/M 82
galaxy group
|
The Hubble Space Telescope observations of the nearby galaxy group M 81/M 82
and its vicinity indicate that the expansion outflow around the group is
dominated by the antigravity of the dark energy background. The local density
of dark energy in the area is estimated to be near the global dark energy
density or perhaps exactly equal to it. This conclusion agrees with our
previous results for the Local group vicinity and the vicinity of the Cen A/M
83 group.
|
astro-ph
|
the hubble space telescope observations of the nearby galaxy group m 81m 82 and its vicinity indicate that the expansion outflow around the group is dominated by the antigravity of the dark energy background the local density of dark energy in the area is estimated to be near the global dark energy density or perhaps exactly equal to it this conclusion agrees with our previous results for the local group vicinity and the vicinity of the cen am 83 group
|
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|
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|
706.4172
|
Spin configuration in a frustrated ferromagnetic/antiferromagnetic thin
film system
|
We have studied the magnetic configuration in ultrathin antiferromagnetic Mn
films grown around monoatomic steps on an Fe(001) surface by spin-polarized
scanning tunneling microscopy/spectroscopy and ab-initio-parametrized
self-consistent real-space tight binding calculations in which the spin
quantization axis is independent for each site thus allowing noncollinear
magnetism. Mn grown on Fe(001) presents a layered antiferromagnetic structure.
In the regions where the Mn films overgrows Fe steps the magnetization of the
surface layer is reversed across the steps. Around these defects a frustration
of the antiferromagnetic order occurs. Due to the weakened magnetic coupling at
the central Mn layers, the amount of frustration is smaller than in Cr and the
width of the wall induced by the step does not change with the thickness, at
least for coverages up to seven monolayers.
|
cond-mat.mtrl-sci
|
we have studied the magnetic configuration in ultrathin antiferromagnetic mn films grown around monoatomic steps on an fe001 surface by spinpolarized scanning tunneling microscopyspectroscopy and abinitioparametrized selfconsistent realspace tight binding calculations in which the spin quantization axis is independent for each site thus allowing noncollinear magnetism mn grown on fe001 presents a layered antiferromagnetic structure in the regions where the mn films overgrows fe steps the magnetization of the surface layer is reversed across the steps around these defects a frustration of the antiferromagnetic order occurs due to the weakened magnetic coupling at the central mn layers the amount of frustration is smaller than in cr and the width of the wall induced by the step does not change with the thickness at least for coverages up to seven monolayers
|
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|
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|
706.4173
|
FPCP Theory Overview
|
We first review some aspects of the determination of the sides and angles of
the unitarity triangle. We pay particular attention to theory shortcomings, and
present many alternative proposals for the determination of |Vub| (which at
present is problematic). We then turn our attention to the more general
question: What have we learned so far about flavor physics and where do we go
from here? We argue that the aim of Flavor Physics should be to establish or
rule out Minimal Flavor Violating interactions up to a scale of 10 TeV.
|
hep-ph
|
we first review some aspects of the determination of the sides and angles of the unitarity triangle we pay particular attention to theory shortcomings and present many alternative proposals for the determination of vub which at present is problematic we then turn our attention to the more general question what have we learned so far about flavor physics and where do we go from here we argue that the aim of flavor physics should be to establish or rule out minimal flavor violating interactions up to a scale of 10 tev
|
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|
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|
706.4174
|
Lattice Boltzmann simulations of spontaneous flow in active liquid
crystals: the role of boundary conditions
|
Active liquid crystals or active gels are soft materials which can be
physically realised e.g. by preparing a solution of cytoskeletal filaments
interacting with molecular motors. We study the hydrodynamics of an active
liquid crystal in a slab-like geometry with various boundary conditions, by
solving numerically its equations of motion via lattice Boltzmann simulations.
In all cases we find that active liquid crystals can sustain spontaneous flow
in steady state contrarily to their passive counterparts, and in agreement with
recent theoretical predictions. We further find that conflicting anchoring
conditions at the boundaries lead to spontaneous flow for any value of the
'activity' parameter, while with unfrustrated anchoring at all boundaries
spontaneous flow only occurs when the activity exceeds a critical threshold. We
finally discuss the dynamic pathway leading to steady state in a few selected
cases.
|
cond-mat.soft cond-mat.stat-mech
|
active liquid crystals or active gels are soft materials which can be physically realised eg by preparing a solution of cytoskeletal filaments interacting with molecular motors we study the hydrodynamics of an active liquid crystal in a slablike geometry with various boundary conditions by solving numerically its equations of motion via lattice boltzmann simulations in all cases we find that active liquid crystals can sustain spontaneous flow in steady state contrarily to their passive counterparts and in agreement with recent theoretical predictions we further find that conflicting anchoring conditions at the boundaries lead to spontaneous flow for any value of the activity parameter while with unfrustrated anchoring at all boundaries spontaneous flow only occurs when the activity exceeds a critical threshold we finally discuss the dynamic pathway leading to steady state in a few selected cases
|
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|
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|
706.4175
|
Heuristics for Network Coding in Wireless Networks
|
Multicast is a central challenge for emerging multi-hop wireless
architectures such as wireless mesh networks, because of its substantial cost
in terms of bandwidth. In this report, we study one specific case of multicast:
broadcasting, sending data from one source to all nodes, in a multi-hop
wireless network. The broadcast we focus on is based on network coding, a
promising avenue for reducing cost; previous work of ours showed that the
performance of network coding with simple heuristics is asymptotically optimal:
each transmission is beneficial to nearly every receiver. This is for
homogenous and large networks of the plan. But for small, sparse or for
inhomogeneous networks, some additional heuristics are required. This report
proposes such additional new heuristics (for selecting rates) for broadcasting
with network coding. Our heuristics are intended to use only simple local
topology information. We detail the logic of the heuristics, and with
experimental results, we illustrate the behavior of the heuristics, and
demonstrate their excellent performance.
|
cs.NI
|
multicast is a central challenge for emerging multihop wireless architectures such as wireless mesh networks because of its substantial cost in terms of bandwidth in this report we study one specific case of multicast broadcasting sending data from one source to all nodes in a multihop wireless network the broadcast we focus on is based on network coding a promising avenue for reducing cost previous work of ours showed that the performance of network coding with simple heuristics is asymptotically optimal each transmission is beneficial to nearly every receiver this is for homogenous and large networks of the plan but for small sparse or for inhomogeneous networks some additional heuristics are required this report proposes such additional new heuristics for selecting rates for broadcasting with network coding our heuristics are intended to use only simple local topology information we detail the logic of the heuristics and with experimental results we illustrate the behavior of the heuristics and demonstrate their excellent performance
|
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|
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|
706.4176
|
Entanglement Transfer Through an Antiferromagnetic Spin Chain
|
We study the possibility of using an uniformly coupled finite
antiferromagnetic spin-1/2 Heisenberg chain as a channel for transmitting
entanglement. One member of a pair of maximally entangled spins is initially
appended to one end of a chain in its ground state and the dynamical
propagation of this entanglement to the other end is calculated. We show that
compared to the analogous scheme with a ferromagnetic chain in its ground
state, here the entanglement is transmitted faster, with less decay, with a
much higher purity and as a narrow pulse form rising non-analytically from
zero. Here non-zero temperatures and depolarizing environments are both found
to be less destructive in comparison to the ferromagnetic case. The
entanglement is found to propagate through the chain in a peculiar fashion
whereby it hops to skip alternate sites.
|
quant-ph
|
we study the possibility of using an uniformly coupled finite antiferromagnetic spin12 heisenberg chain as a channel for transmitting entanglement one member of a pair of maximally entangled spins is initially appended to one end of a chain in its ground state and the dynamical propagation of this entanglement to the other end is calculated we show that compared to the analogous scheme with a ferromagnetic chain in its ground state here the entanglement is transmitted faster with less decay with a much higher purity and as a narrow pulse form rising nonanalytically from zero here nonzero temperatures and depolarizing environments are both found to be less destructive in comparison to the ferromagnetic case the entanglement is found to propagate through the chain in a peculiar fashion whereby it hops to skip alternate sites
|
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|
[-0.15341922270356498, 0.24184032391555652, -0.05368678821181295, 0.0412102671115965, -0.019534548033904562, -0.21299230017605475, 0.06720710702852081, 0.4167785710210342, -0.26786641695939784, -0.22187514503576808, 0.082453666129775, -0.32207989681046456, -0.04341367863417506, 0.14707964670899978, 0.04065495139724617, 0.002262260899496779, 0.05245414099120883, 0.10089316639011907, -0.07472230752742391, -0.23345515450268095, 0.2590488653747085, 0.03966094435317748, 0.27646272196851446, 0.001985409140670255, 0.06759084458810402, 0.009838041477165977, 0.08909705773329557, -0.011145321193582086, -0.10438878959899034, 0.07532764147216048, 0.21388695692754725, 0.02257483707282192, 0.23562939740967617, -0.40177895303871203, -0.1919995680537836, 0.10537168331819573, 0.1766889523193518, 0.20427319828817037, -0.02433807158898284, -0.30613442584559486, 0.061742639816331386, -0.22291232568364758, -0.128432584992947, -0.03308109351461614, -0.007054805269103442, -0.024351508997783843, -0.24696521241732164, 0.08667754708422667, 0.041175730066650214, 0.03931882236597698, -0.008840727774468041, -0.04974390727419184, -0.07010431697508737, 0.10980471205174812, 0.02861770661634657, 0.06988137633254779, 0.09792548844785388, -0.09990675637450226, -0.11016574882860504, 0.33436140282350635, -0.07527536563722959, -0.18490238533591602, 0.20334671003050728, -0.1479363508174785, -0.06918092510391917, 0.13532708995322237, 0.1151274064913698, 0.11549047050552803, -0.1542785114108293, -0.006657797573464436, -0.004912570389960684, 0.19513554118379062, 0.03169333187988334, 0.08060414198466312, 0.20322693313068863, 0.14201418900473126, 0.10770438866926108, 0.25644063336536665, -0.0746300246483132, -0.1548803923834018, -0.2587733848625099, -0.19684566137269696, -0.2321854284269485, 0.0780071465736394, -0.03530709045809266, -0.15585645797676337, 0.3968537396990202, 0.12759972056776303, 0.19151031991828288, 0.017762816556270666, 0.2728703509348987, 0.08721646341780173, 0.04574876359260794, 0.07645269911284489, 0.23353435362710048, 0.1834991856325251, 0.06791511826119873, -0.22832410070009584, 0.05069889561898673, -0.002159980118775101]
|
706.4177
|
\C-flows A^z of linear maps A expressed in terms of
A^{-1},A^{-2},...,A^{-n} and analytic functions of z
|
Suppose A\in GL_n(\C) has a relation A^p=c_{p-1}A^{p-1}+.... + c_1 A+ c_0I
where the c_i in \C. This article describes how to construct analytic functions
c_i(z) such that A^z=c_{p-1}(z)A^{p-1}+... + c_1(z) A+ c_0(z)I . One of the
theorems gives a possible description of the c_i(z): c_i(z)=C^z\alpha where
C\in Mat_p(\C) is (similar to) the companion matrix of X^p-c_{p-1}X^{p-1}-...
-c_1X-c_0I, and \alpha:= (c_{p-1},...,c_1,c_0)^t.
|
math.AC math.AG math.CV
|
suppose ain gl_nc has a relation apc_p1ap1 c_1 a c_0i where the c_i in c this article describes how to construct analytic functions c_iz such that azc_p1zap1 c_1z a c_0zi one of the theorems gives a possible description of the c_iz c_izczalpha where cin mat_pc is similar to the companion matrix of xpc_p1xp1 c_1xc_0i and alpha c_p1c_1c_0t
|
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|
[-0.1554762461034462, 0.08730840096448331, -0.09603793065539225, 0.007642443430550555, -0.05070426852065832, -0.1880654896748193, 0.021264362109309817, 0.31556741821956125, -0.2737800179227711, -0.14502344381539745, 0.05009740040924875, -0.30970222526725305, -0.18210516469751267, 0.1617068414120598, -0.08150574052706361, -0.017218179445951543, -0.008177908365317482, 0.12369875724803894, -0.10362979258098541, -0.18261898847970556, 0.32142837325784757, -0.07348247990012169, 0.14533866547602922, 0.06413244100366818, 0.12492824113987228, -0.007151109404227835, -0.0032671890915074247, -0.043021459033356066, -0.23269805455400158, 0.10502534116459812, 0.2806929781874444, 0.1607766864781684, 0.26152135276215827, -0.31169343442517394, -0.1267296598079872, 0.17118638103946726, 0.13818241368503648, -0.00970947136111716, -0.02865794053340846, -0.14642928245457562, 0.14171749519857954, -0.1892519225762721, -0.17324813990358343, -0.010244818369639998, 0.15229418458654842, 0.024397858695939502, -0.34447269229852456, 0.01579750997034159, 0.10459822808649946, 0.01391311882043931, -0.0032491588846166085, -0.1359278549380759, -0.018165929758168282, 0.10244881028081587, 0.011028089080045515, 0.1331018015266733, 0.04537736089464198, -0.07736200557407388, -0.035500748538749016, 0.4190760229298092, -0.08193655763851836, -0.22068629639738419, 0.12989357472496463, -0.16962253930483093, -0.18609781577152776, 0.017354199306127874, 0.09090090509345557, 0.12105921239770473, -0.09208755565688331, 0.20834707932303997, -0.1265956506212341, 0.14661471296022546, 0.037368762980591747, -0.008511991349068727, 0.13826545767803142, 0.07468896976454144, 0.04983194010391673, 0.1200517106087918, 0.01970557441459374, 0.0049522624715191725, -0.3635130304288357, -0.18325187660198897, -0.15730011051005505, 0.16894623789777782, -0.09235844357859373, -0.19968002523355027, 0.3825825843167432, 0.10843119825771515, 0.2489538552596214, 0.04788334923455779, 0.24018922172724566, 0.12692996679478266, 0.03127939818040567, 0.06518634607856895, 0.14562997649958792, 0.1808770117052692, 0.03597587133024601, -0.14398809174630553, 0.030861839285477043, 0.1304067678630669]
|
706.4178
|
Lattice polytopes of degree 2
|
A theorem of Scott gives an upper bound for the normalized volume of lattice
polygons with exactly $i>0$ interior lattice points. We will show that the same
bound is true for the normalized volume of lattice polytopes of degree 2 even
in higher dimensions. In particular, there is only a finite number of quadratic
polynomials with fixed leading coefficient being the $h^*$-polynomial of a
lattice polytope.
|
math.CO
|
a theorem of scott gives an upper bound for the normalized volume of lattice polygons with exactly i0 interior lattice points we will show that the same bound is true for the normalized volume of lattice polytopes of degree 2 even in higher dimensions in particular there is only a finite number of quadratic polynomials with fixed leading coefficient being the hpolynomial of a lattice polytope
|
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|
[-0.19269886978365708, 0.17350619178548435, -0.07075168981894174, 0.02954383110839196, -0.03230315653226254, -0.13343164709283772, 0.0779738111499076, 0.30311367322098126, -0.25803831657112547, -0.19248351214848686, 0.10257985161010627, -0.31383337249810045, -0.1256809000659621, 0.14985569954539338, -0.09452206126386017, 0.02590129336793766, 0.03526963631509605, 0.12130188817779224, -0.08619085261880448, -0.37855864880662976, 0.29663808533752506, -0.0021936667970184126, 0.21628304973075335, 0.13422288594654563, 0.11658712109607278, 0.017658039250157097, 0.03883897471435679, 0.05598418076635536, -0.18058635778850823, 0.16297348949945334, 0.21640278461078802, 0.05597346925148458, 0.19609380437230522, -0.3437040884499297, -0.11579861503207323, 0.17575367923938867, 0.11352403735685529, 0.1068949078802358, 0.01902530678181034, -0.1411576912681939, 0.14005382494669352, -0.1184085227575975, -0.22406212306778991, -0.037304427502959064, 0.05962387724271552, 0.008509223292948622, -0.2920563574033705, 0.07340073941106146, 0.10412073098687512, 0.13582619394935935, -0.02894708100762783, -0.20296474691536842, -0.05880179947637247, 0.06514070024290546, -0.01674392130437561, 0.07626485576232274, -0.0009118922647427429, -0.12447651231548551, -0.13484288227151742, 0.4051418266132135, -0.03607962544386586, -0.24339169678701597, 0.10118147778804555, -0.2479362486099655, -0.10918271958044815, 0.1721371771224464, 0.13210677396449627, 0.10574941036457224, -0.048709390346299515, 0.16213281394095358, -0.16250909870546876, 0.16076612631458734, 0.1384738013024837, 0.024586762971893855, 0.15983273007794085, 0.08300146702888676, 0.1669532273486821, 0.194138538210554, -0.024563043067852657, -0.09315409423134317, -0.33304403255213844, -0.14307778707712493, -0.27204286131459277, 0.07707236374721327, -0.21331381859878698, -0.19900465685923613, 0.30259749269162334, 0.016770372202507024, 0.2177495522650354, 0.11275457526260818, 0.20254408094015988, 0.1362189710789332, 0.05921107255430384, 0.10895789200157831, 0.14556926371755474, 0.13085764106080838, -0.03457298522081339, -0.16978138014250857, -0.006564084877909133, 0.20473633813812878]
|
706.4179
|
Overview: Sides of the Unitarity Triangle
|
This is an opening talk for the workshop and is intended to be provocative.
We take a stab at the following questions: How well do we really know the sides
of the unitarity triangle? What else could we do to improve? (I propose several
new measurements). What precision should we ultimately aim at in the
determination of CKM elements? What have we learned so far about flavor
physics? Where do we go from here?
|
hep-ph
|
this is an opening talk for the workshop and is intended to be provocative we take a stab at the following questions how well do we really know the sides of the unitarity triangle what else could we do to improve i propose several new measurements what precision should we ultimately aim at in the determination of ckm elements what have we learned so far about flavor physics where do we go from here
|
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|
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|
706.418
|
Universal Grammar and Consciousness
|
The orthodox interpretation of quantum theory treats the subject and the
object on an equal footing. It has been suggested that the cyclical-time
process, which resolves self-reference in consciousness, interconnects the
observed universe and the mind of the subject. Based on the analogy between
cryptography and language, the concept of the common innate structure of
language, also known as universal grammar, may be associated with the
continuity in consciousness. Extending this connection, Levi-Strauss's proposal
on universal culture may be considered as a shared structure of continuity
among the consciousness of multiple subjects.
|
physics.gen-ph
|
the orthodox interpretation of quantum theory treats the subject and the object on an equal footing it has been suggested that the cyclicaltime process which resolves selfreference in consciousness interconnects the observed universe and the mind of the subject based on the analogy between cryptography and language the concept of the common innate structure of language also known as universal grammar may be associated with the continuity in consciousness extending this connection levistrausss proposal on universal culture may be considered as a shared structure of continuity among the consciousness of multiple subjects
|
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|
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|
706.4181
|
A characterization property on field equivalent to algebraicity on
Banach spaces
|
In his article "A discrete form of the theorem that each field endomorphism
of $\mathbb{R}$ ($\mathbb{Q}_p$) is the identity", Tyszka introduce a logical
property which is equivalent to algebraicity in $\mathbb{R}$ and in
$\mathbb{Q}_p$. Amazingly, the property is no longer equivalent to algebraicity
in $\mathbb{C}$. This article present a similirar property which is equivalent
to algebraicity in any field of characteristic zero which is also a Banach
space, and prove a weaker equivalency for fields of positive charcteristic
(which are also Banach spaces).
|
math.NT math.LO
|
in his article a discrete form of the theorem that each field endomorphism of mathbbr mathbbq_p is the identity tyszka introduce a logical property which is equivalent to algebraicity in mathbbr and in mathbbq_p amazingly the property is no longer equivalent to algebraicity in mathbbc this article present a similirar property which is equivalent to algebraicity in any field of characteristic zero which is also a banach space and prove a weaker equivalency for fields of positive charcteristic which are also banach spaces
|
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|
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|
706.4182
|
Experimental tests of small-x QCD
|
Current and future experimental studies of the high-energy limit of QCD,
dominated by non-linear gluon dynamics in the low-x sector of the hadron
wavefunctions, are presented. Results at HERA (proton) and RHIC (nucleus)
pointing to the possible onset of parton saturation phenomena, and perspectives
at the LHC and new proposed DIS facilities are outlined.
|
hep-ex nucl-ex nucl-th
|
current and future experimental studies of the highenergy limit of qcd dominated by nonlinear gluon dynamics in the lowx sector of the hadron wavefunctions are presented results at hera proton and rhic nucleus pointing to the possible onset of parton saturation phenomena and perspectives at the lhc and new proposed dis facilities are outlined
|
[['current', 'and', 'future', 'experimental', 'studies', 'of', 'the', 'highenergy', 'limit', 'of', 'qcd', 'dominated', 'by', 'nonlinear', 'gluon', 'dynamics', 'in', 'the', 'lowx', 'sector', 'of', 'the', 'hadron', 'wavefunctions', 'are', 'presented', 'results', 'at', 'hera', 'proton', 'and', 'rhic', 'nucleus', 'pointing', 'to', 'the', 'possible', 'onset', 'of', 'parton', 'saturation', 'phenomena', 'and', 'perspectives', 'at', 'the', 'lhc', 'and', 'new', 'proposed', 'dis', 'facilities', 'are', 'outlined']]
|
[-0.01917621604580846, 0.2714402637772124, -0.15058578468893688, 0.16573439368167547, -0.05186713821496124, -0.05647580011821076, -0.023850141347523918, 0.33924796163207954, -0.1884478040177513, -0.17391313454653654, 0.019594385398603562, -0.35372903470501854, 0.029010283381298737, 0.17556867448406088, 0.13196557717121862, 0.15309484502628307, 0.09657596872636566, -0.09285231403730533, -0.017262795104653814, -0.2310845239639834, 0.324953080616305, 0.17706776784594963, 0.25979739390486095, 0.24895846048012674, 0.10117597060485019, 0.04310945784500628, -0.07544911073313819, -0.04190879547968507, -0.12407276003472766, 0.0697513909286095, 0.35241331560192285, 0.07630335717220549, 0.1061036857707357, -0.4502171691921022, -0.1166745764720771, -0.0011276043606577096, 0.10279397688875044, 0.09602692912233544, -0.03871695396190734, -0.30630623585441047, 0.04651662900815373, -0.23428108907925585, -0.24721258110366762, -0.10574003014092644, -0.05467134379540329, 0.031418554864271926, -0.28714280922172797, 0.07152730246350446, -0.07865788984215921, 0.011752656488506883, -0.01424902154960566, -0.2706736070966279, -0.04728775796118296, -0.001132727497153812, 0.13175182337700217, 0.11770676615372024, 0.1863060006526885, -0.30330208223313093, -0.21521497012980506, 0.3761907141931631, 0.06594264862576017, -0.029641122798676842, 0.1701926197770431, -0.3156281207015531, -0.16710253268549288, 0.14284232479554634, 0.21900503466733628, 0.04701346483219553, -0.17350992091276027, 0.08720889473247721, 0.014808699264432545, 0.09935280784136719, 0.07105730480893895, 0.1133672884941377, 0.2209086519562536, 0.28635487120805514, -0.038850784594951955, 0.03900484153052309, -0.12108334040062295, -0.1257072077316008, -0.4414002482123949, 0.016280129810588226, -0.07951162457983527, 0.00811588797175015, -0.048726240801409366, -0.004302458268486791, 0.38563212048676276, 0.1224957996358474, 0.21371372883570278, -0.05075255158805737, 0.31198565910259884, 0.08179973304288944, 0.02286873938067368, 0.042682806478330386, 0.3132220910931075, 0.14115364856897267, 0.23348771266777207, -0.2814302330629693, 0.01456770469882974, 0.04778737870596901]
|
706.4183
|
Infinitely generated Derksen and Makar-Limanov invariant
|
In this paper, we give an example of a finitely generated 3-dimensional
C-algebra which has infinitely generated Derksen invariant as well as
Makar-Limaonv invariant.
|
math.AG math.AC
|
in this paper we give an example of a finitely generated 3dimensional calgebra which has infinitely generated derksen invariant as well as makarlimaonv invariant
|
[['in', 'this', 'paper', 'we', 'give', 'an', 'example', 'of', 'a', 'finitely', 'generated', '3dimensional', 'calgebra', 'which', 'has', 'infinitely', 'generated', 'derksen', 'invariant', 'as', 'well', 'as', 'makarlimaonv', 'invariant']]
|
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|
706.4184
|
Constructing (almost) rigid rings and a UFD having infinitely generated
Derksen and Makar-Limanov invariant
|
An example is given of a UFD which has infinitely generated Derksen
invariant. The ring is \textquotedblleft almost rigid\textquotedblright\
meaning that the Derksen invariant is equal to the Makar-Limanov invariant.
Techniques to show that a ring is (almost) rigid are discussed, among which is
a generalization of Mason's abc-theorem.
|
math.AG math.AC
|
an example is given of a ufd which has infinitely generated derksen invariant the ring is textquotedblleft almost rigidtextquotedblright meaning that the derksen invariant is equal to the makarlimanov invariant techniques to show that a ring is almost rigid are discussed among which is a generalization of masons abctheorem
|
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|
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|
706.4185
|
Minimal Flavor Violation
|
If new physics is called upon to explain away fine tunings, like the
hierarchy problem, then, we argue, the principle of Minimal Flavor Violation is
inescapable. We review the principle and recent extensions to the lepton sector
and to Grand-Unified theories.
|
hep-ph
|
if new physics is called upon to explain away fine tunings like the hierarchy problem then we argue the principle of minimal flavor violation is inescapable we review the principle and recent extensions to the lepton sector and to grandunified theories
|
[['if', 'new', 'physics', 'is', 'called', 'upon', 'to', 'explain', 'away', 'fine', 'tunings', 'like', 'the', 'hierarchy', 'problem', 'then', 'we', 'argue', 'the', 'principle', 'of', 'minimal', 'flavor', 'violation', 'is', 'inescapable', 'we', 'review', 'the', 'principle', 'and', 'recent', 'extensions', 'to', 'the', 'lepton', 'sector', 'and', 'to', 'grandunified', 'theories']]
|
[-0.05319700394643516, 0.20928342903896077, -0.04208702820057913, 0.18853497105968617, -0.18128346252005276, -0.16282824613153934, 0.06764067498194735, 0.25586591448589435, -0.3158733633051558, -0.313783660780911, 0.09880079983211146, -0.25806822003115243, -0.11006208999854762, 0.10336898326328615, -0.08537199975150388, 0.0027659407606711837, 0.0058770243407840405, -0.00021977195652519784, -0.08441270142793655, -0.19730988190304943, 0.3473679262735858, 0.06271136224996753, 0.2629957110734611, 0.15184462482745692, 0.12104953362084017, -0.03127781992278448, -0.017992366741343243, -0.015435235983714825, -0.14435296527836927, 0.10388328034782827, 0.149902526334655, 0.2180973871542913, 0.13888146457966508, -0.4378369222508698, -0.1984217211422397, 0.18758365068948124, 0.09573295452382143, 0.17814155255739644, -0.01979868227570522, -0.26102756826979356, 0.10274833906441927, -0.17873565563023452, -0.19001800585083845, -0.1013589723876155, -0.04249567930052829, -0.1242285654085075, -0.26419765329579026, 0.046815699406490635, 0.019514714481263625, -0.0038727845587744943, 0.04351636435745693, -0.09421267466074447, 0.04932558750052277, -0.017273949209328104, 0.18363874686155013, -0.001305446710164954, 0.10718590167646365, -0.1511787107532344, -0.18177327880544997, 0.4284011445394376, -0.04170489379363816, -0.1792817822339513, 0.18491510897250166, -0.15300617105804565, -0.25371970427108975, -0.006672282044480487, 0.12331314543943579, 0.040114482665979646, -0.12484673410654068, 0.19332937396233674, -0.10684282137308179, 0.16588094975890183, 0.030551274738660674, 0.04746579516270175, 0.26008631693335565, 0.15570549049028537, 0.09072143838048072, 0.03211836271533152, -0.014308568039091259, -0.10458651085088892, -0.42022260339794365, -0.134872834584335, -0.08888840361884455, 0.05358652762568942, -0.004125083977691602, -0.09559534394651475, 0.4115518320624421, 0.17012853447983906, 0.1484261941301023, 0.040831360511663486, 0.22009698977330472, 0.0604031670656873, 0.1045229460408048, 0.00818567415245059, 0.2730146351770112, 0.13520420379028086, 0.11730892874482202, -0.2334624077420591, -0.001226730210275003, 0.15265531198507765]
|
706.4186
|
Zero-Bidimension and Various Classes of Bitopological Spaces
|
The sum theorem and its corollaries are proved for a countable family of
zero-dimensional (in the sense of small and large inductive bidimensions)
p-closed sets, using a new notion of relative normality whose topological
correspondent is also new. The notion of almost $n$-dimensionality is
considered from the bitopological point of view.
Bitopological spaces in which every subset is i-open in its $j$-closure
(i.e.,(i,j)-submaximal spaces) are introduced and their properties are studied.
Based on the investigations begun in [5] and [14], sufficient conditions are
found for bitopological spaces to be(1,2)-Baire in the class of p-normal
spaces. Furthermore, (i,j)-I-spaces are introduced and both the relations
between(i,j)-submaximal, (i,j)-nodec and (i,j)-I-spaces, and their properties
are studied when two topologies on a set are either independent of each other
or interconnected by the inclusion, S-, C- and N-relations or by their
combinations.
The final part of the paper deals with the questions of preservation of
$(i,j)$-submaximal and $(2,1)\dd I$-spaces to an image, of $D$-spaces to an
image and an inverse image for both the topological and the bitopological
cases. Two theorems are formulated containing, on the one hand, topological
conditions and, on the other hand, bitopological ones, under which a
topological space is a $D$-space.
|
math.GN
|
the sum theorem and its corollaries are proved for a countable family of zerodimensional in the sense of small and large inductive bidimensions pclosed sets using a new notion of relative normality whose topological correspondent is also new the notion of almost ndimensionality is considered from the bitopological point of view bitopological spaces in which every subset is iopen in its jclosure ieijsubmaximal spaces are introduced and their properties are studied based on the investigations begun in 5 and 14 sufficient conditions are found for bitopological spaces to be12baire in the class of pnormal spaces furthermore ijispaces are introduced and both the relations betweenijsubmaximal ijnodec and ijispaces and their properties are studied when two topologies on a set are either independent of each other or interconnected by the inclusion s c and nrelations or by their combinations the final part of the paper deals with the questions of preservation of ijsubmaximal and 21dd ispaces to an image of dspaces to an image and an inverse image for both the topological and the bitopological cases two theorems are formulated containing on the one hand topological conditions and on the other hand bitopological ones under which a topological space is a dspace
|
[['the', 'sum', 'theorem', 'and', 'its', 'corollaries', 'are', 'proved', 'for', 'a', 'countable', 'family', 'of', 'zerodimensional', 'in', 'the', 'sense', 'of', 'small', 'and', 'large', 'inductive', 'bidimensions', 'pclosed', 'sets', 'using', 'a', 'new', 'notion', 'of', 'relative', 'normality', 'whose', 'topological', 'correspondent', 'is', 'also', 'new', 'the', 'notion', 'of', 'almost', 'ndimensionality', 'is', 'considered', 'from', 'the', 'bitopological', 'point', 'of', 'view', 'bitopological', 'spaces', 'in', 'which', 'every', 'subset', 'is', 'iopen', 'in', 'its', 'jclosure', 'ieijsubmaximal', 'spaces', 'are', 'introduced', 'and', 'their', 'properties', 'are', 'studied', 'based', 'on', 'the', 'investigations', 'begun', 'in', '5', 'and', '14', 'sufficient', 'conditions', 'are', 'found', 'for', 'bitopological', 'spaces', 'to', 'be12baire', 'in', 'the', 'class', 'of', 'pnormal', 'spaces', 'furthermore', 'ijispaces', 'are', 'introduced', 'and', 'both', 'the', 'relations', 'betweenijsubmaximal', 'ijnodec', 'and', 'ijispaces', 'and', 'their', 'properties', 'are', 'studied', 'when', 'two', 'topologies', 'on', 'a', 'set', 'are', 'either', 'independent', 'of', 'each', 'other', 'or', 'interconnected', 'by', 'the', 'inclusion', 's', 'c', 'and', 'nrelations', 'or', 'by', 'their', 'combinations', 'the', 'final', 'part', 'of', 'the', 'paper', 'deals', 'with', 'the', 'questions', 'of', 'preservation', 'of', 'ijsubmaximal', 'and', '21dd', 'ispaces', 'to', 'an', 'image', 'of', 'dspaces', 'to', 'an', 'image', 'and', 'an', 'inverse', 'image', 'for', 'both', 'the', 'topological', 'and', 'the', 'bitopological', 'cases', 'two', 'theorems', 'are', 'formulated', 'containing', 'on', 'the', 'one', 'hand', 'topological', 'conditions', 'and', 'on', 'the', 'other', 'hand', 'bitopological', 'ones', 'under', 'which', 'a', 'topological', 'space', 'is', 'a', 'dspace']]
|
[-0.11889062383449933, 0.10692433030999382, -0.052406138681033825, 0.06925337239257753, -0.03957283669126597, -0.09818145129804876, 0.016952710264570455, 0.36788875996036097, -0.27327552792725174, -0.24899360274727594, 0.17538155604245517, -0.28637511753279005, -0.12040585810516743, 0.2302372094241907, -0.09724875580658146, 0.036430181127953085, 0.015276317412846107, 0.0782049011756131, -0.08540866493514956, -0.28137707479417007, 0.40078442020123783, -0.04434727505344818, 0.2588393005413657, 0.043706758795219396, 0.09283346089564185, 0.004384034759107422, -0.059334386280054184, 0.06695215057937062, -0.13160751937105855, 0.15911154529751118, 0.21909189913198945, 0.11499763368234933, 0.2583593183712281, -0.36009808920959796, -0.15154426513695496, 0.11495404375439629, 0.06804829844932488, 0.026404425074709234, -0.006057155058481433, -0.3214551519820506, 0.14515872508227984, -0.11489582895127898, -0.08507292627782977, -0.07620103657245636, 0.041652109577974425, 0.04713421695162245, -0.2545700558273003, -0.016929744035804377, 0.12945583406632222, 0.07917626988033745, -0.08295446432918865, -0.10390802591722062, -0.07041249862015049, 0.1219179208529432, 0.01653125592348899, 0.0028357893659515265, 0.06576115503381477, -0.12206753610851283, -0.13153218452018647, 0.39107028145852074, -0.007800562037254109, -0.23296851247791794, 0.23253085122919304, -0.11402231489030763, -0.14285340589381992, 0.06941575276977481, 0.11351001284864207, 0.1530497630641974, -0.12183962966616704, 0.12944346295417028, -0.06393596894068128, 0.08307582259929289, 0.08442406896303625, 0.09172830082590078, 0.16063820642042667, 0.12182960492816378, 0.09902853450051786, 0.156352466148785, -0.04398867821548768, -0.0681609109742567, -0.31107897923744104, -0.1573586467395913, -0.16028821564457835, 0.01863593451104107, -0.07608760569394477, -0.18142652529863978, 0.37749759954192297, 0.06791115370566679, 0.21089555860352777, 0.050983388641938326, 0.22318230476478076, 0.07077277308873933, 0.03789886628076969, 0.04627855752218277, 0.19075819941528918, 0.15817212301276704, 0.03088511055597956, -0.10876890986741698, 0.050497372399401316, 0.12378409503156597]
|
706.4187
|
The Automorphism Group of Certain Factorial Threefolds and a
Cancellation Problem
|
The automorphism groups of certain factorial complex affine threefolds
admitting locally trivial actions of the additive group are determined. As a
consequence new counterexamples to a generalized cancellation problem are
obtained.
|
math.AG math.AC
|
the automorphism groups of certain factorial complex affine threefolds admitting locally trivial actions of the additive group are determined as a consequence new counterexamples to a generalized cancellation problem are obtained
|
[['the', 'automorphism', 'groups', 'of', 'certain', 'factorial', 'complex', 'affine', 'threefolds', 'admitting', 'locally', 'trivial', 'actions', 'of', 'the', 'additive', 'group', 'are', 'determined', 'as', 'a', 'consequence', 'new', 'counterexamples', 'to', 'a', 'generalized', 'cancellation', 'problem', 'are', 'obtained']]
|
[-0.24430220165560323, 0.10275558003735158, -0.05891401530994523, 0.1362770708698419, -0.18849641385097657, -0.18751912789359207, 0.015809423181288425, 0.36203033621272734, -0.36320570543889075, -0.21266414801920613, 0.15861673277592467, -0.2203921738471235, -0.20809849360657315, 0.22728104781239264, -0.19389014441760316, -0.005522706140313418, -0.007935458133297582, 0.11452760305556078, -0.14861404751577684, -0.3538844503702656, 0.43243944212313623, -0.043435349658642326, 0.2096842993651667, 0.004040750765031384, 0.17522673941998473, -0.03341714907137136, -0.04538430219456073, 0.030342934202523, -0.10033317909936511, 0.09228828206523171, 0.35917112639834803, -0.012185878811344024, 0.16089881656150665, -0.3225887396162556, -0.18183028163208115, 0.23172002429923705, 0.10409843056432662, 0.042916385006279714, -0.07247044996268326, -0.32465534978696414, 0.12922668620763766, -0.21025985834233824, -0.16885959278912313, -0.10295297734199031, -0.05547993627166556, 0.012873164978959867, -0.2300027915682163, 0.005073692484368239, 0.09463785940240468, 0.15266717099134, -0.04870582212724032, -0.09179446355049167, -0.08367748140928245, 0.12698040491030102, 0.005735032801185885, 0.004352453671726248, 0.10933691269207385, -0.05574089927118151, -0.18231507498891122, 0.4069682683855776, 0.01773085810183998, -0.23666313208260334, 0.1065624157988256, -0.09952290377189074, -0.1906671365723014, 0.20205747480354003, 0.10202251747250557, 0.16706226039077005, -0.033745191029963956, 0.1693349645563191, -0.14875464043730208, 0.022111450171759053, 0.11253737165562568, -0.00402613801340903, 0.0922371550733524, 0.007649639741547646, 0.12270913813864032, 0.15508375470075877, 0.12910978550151472, -0.03617959815047441, -0.3897946780968097, -0.13246699092128583, -0.054200808149612235, 0.1672615957476439, -0.12485795242771987, -0.22652306270244862, 0.3641729808803047, -0.0828088469382736, 0.1213988289537449, 0.15725460450255102, 0.16281107056044763, 0.04956950874803888, 0.04199427276128723, 0.018985419474061457, 0.07120370439764473, 0.2645614193451981, -0.16651563606419292, -0.11558211991383184, -0.006987419940771595, 0.2224630459452108]
|
706.4188
|
Holography and Cosmological Singularities
|
Certain null singularities in ten dimensional supergravity have natural
holographic duals in terms of Matrix Theory and generalizations of the AdS/CFT
correspondence. In many situations the holographic duals appear to be well
defined in regions where the supergravity develops singularities. We describe
some recent progress in this area.
|
hep-th
|
certain null singularities in ten dimensional supergravity have natural holographic duals in terms of matrix theory and generalizations of the adscft correspondence in many situations the holographic duals appear to be well defined in regions where the supergravity develops singularities we describe some recent progress in this area
|
[['certain', 'null', 'singularities', 'in', 'ten', 'dimensional', 'supergravity', 'have', 'natural', 'holographic', 'duals', 'in', 'terms', 'of', 'matrix', 'theory', 'and', 'generalizations', 'of', 'the', 'adscft', 'correspondence', 'in', 'many', 'situations', 'the', 'holographic', 'duals', 'appear', 'to', 'be', 'well', 'defined', 'in', 'regions', 'where', 'the', 'supergravity', 'develops', 'singularities', 'we', 'describe', 'some', 'recent', 'progress', 'in', 'this', 'area']]
|
[-0.12035827279517737, 0.10896644494884337, -0.05660720798186958, 0.11777057641059703, -0.0871805751521606, -0.1381499272150298, -0.09512001925274187, 0.3007737267568397, -0.17756265363035104, -0.19254505548936626, 0.11247238736784008, -0.2923860943798597, -0.23149039371249577, 0.10293827361116807, -0.17749889850771675, 0.09282907061666872, -0.034379826295965664, 0.06899622467850956, -0.15595391063955807, -0.3393252234285076, 0.32630014403063495, -0.02404554506453375, 0.3072761071380228, 0.08976506251686563, 0.0433840735204285, -0.031055455901271973, 0.008411142567638308, 0.0903897577348592, -0.17918172158533707, 0.12944622586655896, 0.4004140566685237, 0.1323368747641022, 0.14304879982955754, -0.5016470008219281, -0.31068593688542023, 0.1159344827174209, 0.19557431615733853, 0.11888951415069944, -0.0098333857798328, -0.24324131632844606, 0.03576285244586567, -0.20123077230527997, -0.17813873424893245, -0.09186107658024412, -0.007239372896340986, -0.08478899587256213, -0.17228300930582918, 0.07397432101424783, -0.01295202640418817, 0.0918697949576502, -0.022932191534588735, -0.012777537126870206, 0.03825189306129081, 0.025681524799438193, 0.13599242083728313, 0.04661679039903296, 0.06737382792440864, -0.23020495920309259, -0.1418253539207702, 0.3039626530953683, -0.02372478460893035, -0.22769998656682824, 0.20745786078623496, -0.18677906909336647, -0.21973343437033085, 0.04863158815229932, 0.1031647036531164, 0.21900838942383416, -0.07705532992258668, 0.2357692653883229, -0.037542332778684795, -0.03438216366339475, 0.19449464671682412, 0.12626073885864267, 0.2938203973074754, 0.061989439695025794, -0.015457030888986386, 0.17384645907198623, 0.039953100378625095, -0.15023500534395376, -0.43443502982457477, -0.16950487112626433, -0.10969633913191501, 0.06984400114257976, -0.15355938066659292, -0.17837333912029862, 0.3789999196693922, 0.09586143598911197, 0.2806927172156672, 0.017367818877877046, 0.1526411586867956, 0.0652493482848513, 0.0824146580028658, 0.03864177395007573, 0.26363127261781, 0.15893911038680622, 0.08306585246464238, -0.16020837631852677, -0.14141579726007572, 0.22106126686170077]
|
706.4189
|
Stable-Range Approach to the Equation of Nonstationary Transonic Gas
Flows
|
Using certain finite-dimensional stable range of the nonlinear terms, we
obtain large families of exact solutions parameterized by functions for the
equation of nonstationary transonic gas flows discovered by Lin, Reisner and
Tsien, and its three-dimensional generalization.
|
physics.flu-dyn math-ph math.AP math.MP nlin.SI
|
using certain finitedimensional stable range of the nonlinear terms we obtain large families of exact solutions parameterized by functions for the equation of nonstationary transonic gas flows discovered by lin reisner and tsien and its threedimensional generalization
|
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|
[-0.13269567255661563, 0.0647145564823101, -0.000910361452649037, 0.04591730736946273, -0.04443650594395068, -0.11921332847689176, -0.005972143262624741, 0.23900590278208256, -0.3097873159891201, -0.27680849977251554, 0.12637167936190963, -0.21951616749477884, -0.14844738071163496, 0.255733963722984, -0.033924665974660054, 0.15278560580110126, 0.04905696911737323, -0.08263885540266831, -0.12526777416415927, -0.2283163843676448, 0.38364927406008875, -0.024056994886551466, 0.20840740103610894, -0.01301225781854656, 0.190563731167155, -0.00862683355808258, -0.028307495781013534, 0.045685830862364836, -0.2412732312740344, 0.09145098477084604, 0.23540816132056838, 0.07861580492721663, 0.23602501151617616, -0.3750260660114388, -0.26538612062318456, 0.1281607426289055, 0.16399453247949067, 0.06124859176472657, -0.04108688794076443, -0.3188566696674873, 0.10635113053851658, -0.19807023525289777, -0.2101443384308368, -0.16024840672293472, 0.0615380412976568, 0.12159064415997516, -0.2462229966897414, 0.1396932238454206, 0.09089188639902407, 0.04032590038655649, -0.12965960324961795, -0.050835589839455984, -0.05393818311858922, 0.02520804288279679, 0.017300960530216496, -0.018211441683686443, 0.03583486850321707, -0.16805164298663536, -0.06327372525508206, 0.3507242318139308, -0.08323710567007463, -0.2524646547002097, 0.23657867177906963, -0.11730504731854631, -0.0687434293795377, 0.15881835896935728, 0.15640843986895764, 0.20331190133260357, -0.11737904912378225, 0.1515786493578667, -0.1636546869477671, 0.03252491159623282, 0.12180119957257476, -0.008964437913770476, 0.15195430367667642, 0.06801421660929918, 0.04421512774812678, 0.19178892384904125, -0.0038185404846444726, -0.13181055642457473, -0.26986689110183054, -0.10672026927932166, -0.12251688410631484, 0.07019543484784663, -0.1520583283846564, -0.19046312094562584, 0.397519974451926, 0.019967812876630988, 0.17249142792489794, 0.0728413834133082, 0.19060753182404572, 0.20720367750133542, -0.01953353573723386, 0.14390766787497947, 0.21012098256809017, 0.19750274170655757, 0.08449984802347091, -0.19368429425392403, 0.013221798184935728, 0.16670916193268365]
|
706.419
|
SiZer for time series: A new approach to the analysis of trends
|
Smoothing methods and SiZer are a useful statistical tool for discovering
statistically significant structure in data. Based on scale space ideas
originally developed in the computer vision literature, SiZer (SIgnificant ZERo
crossing of the derivatives) is a graphical device to assess which observed
features are `really there' and which are just spurious sampling artifacts. In
this paper, we develop SiZer like ideas in time series analysis to address the
important issue of significance of trends. This is not a straightforward
extension, since one data set does not contain the information needed to
distinguish `trend' from `dependence'. A new visualization is proposed, which
shows the statistician the range of trade-offs that are available. Simulation
and real data results illustrate the effectiveness of the method.
|
stat.ME
|
smoothing methods and sizer are a useful statistical tool for discovering statistically significant structure in data based on scale space ideas originally developed in the computer vision literature sizer significant zero crossing of the derivatives is a graphical device to assess which observed features are really there and which are just spurious sampling artifacts in this paper we develop sizer like ideas in time series analysis to address the important issue of significance of trends this is not a straightforward extension since one data set does not contain the information needed to distinguish trend from dependence a new visualization is proposed which shows the statistician the range of tradeoffs that are available simulation and real data results illustrate the effectiveness of the method
|
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|
[-0.05633192666904713, 0.015186013422936686, -0.14622048100804894, 0.13064957555947537, -0.1394805251204265, -0.1326343768704077, 0.029766881460800948, 0.3683298464894779, -0.2542675767184758, -0.3663181825503101, 0.1366258116128544, -0.2775156807525432, -0.1745427444244061, 0.2279139588117539, -0.09926318863361347, 0.06236288300147507, 0.0941470236237335, -0.002589511870580718, -0.04676538855556732, -0.2473339729703872, 0.29205247356624503, 0.05840936914177203, 0.3212613892870221, 0.0577544258051832, 0.06935469403756948, -0.023564495289190936, -0.11413467718227728, 0.022494221537523503, -0.11613784813563713, 0.1252590118210793, 0.30878474374067005, 0.17065487865252588, 0.3232387152966112, -0.3875668448115873, -0.21608755941979768, 0.11249601448757376, 0.1477267680788125, 0.10596020634539759, -0.07889383206190352, -0.2583560183326282, 0.07981825865189, -0.1276441881417986, -0.08176174546247424, -0.11996913780799, 0.008093960053189015, -0.02377381908699749, -0.24987476479264006, 0.0717892937922502, 0.0524927323122842, 0.10592272230310411, 0.006901237008169415, -0.11442205542698503, 0.02836741720008232, 0.12589816003280685, 0.06047312534656527, 0.025282622823241827, 0.10772108076882314, -0.08138120866463922, -0.1342136348915718, 0.3675859734128282, -0.024900715425231954, -0.2009812295853304, 0.20034923671169313, -0.12134341429919004, -0.18072332791620638, 0.12102132578327404, 0.18066376250055505, 0.07125035912078631, -0.17380152336971047, 0.05309091089151391, -0.009232621405243389, 0.1831183019737766, 0.012588086469871243, 0.005639105452209469, 0.18248279517652785, 0.1699248804612373, 0.02535074299988829, 0.09194832264750484, -0.10137925912224786, -0.1050795674536044, -0.2873704813466203, -0.14372218730745884, -0.19574119368893647, -0.053351064468875935, -0.055562727253271715, -0.16683161348043904, 0.40077935681277055, 0.24187394186127475, 0.1782785261511742, 0.029864838593866586, 0.32025844525030955, 0.06874617450121445, 0.09959987721337778, 0.06611047234817795, 0.19532717770434976, 0.06915994780516721, 0.12719092198942855, -0.1436523939085352, 0.09252734869771553, -0.005847047974650816]
|
706.4191
|
Kaluza--Klein excitations of gauge bosons at the LHC
|
We consider the Randall-Sundrum extra dimensional model with fields
propagating in the bulk based on an extended electroweak gauge symmetry with
specific fermion charges and localizations that allow to explain the LEP
anomaly of the forward--backward asymmetry for $b$--quarks, $A_{FB}^b$. We
study the manifestations of the strongly--interacting and electroweak gauge
boson Kaluza--Klein excitations $\vkk$ at the LHC, with masses of the order of
a few TeV, which dominantly decays into top and bottom quark pairs. We first
analyze the two--body tree--level production processes $pp \to t\bar t$ and
$b\bar b$ in which the Kaluza--Klein (KK) excitations of gauge bosons are
exchanged. We find that the additional channels can lead to a significant
excess of events with respect to the Standard Model prediction; characteristic
top quark polarization and angular asymmetries are quantitatively studied and
turn out to probe the chiral structure of couplings to excited states. We then
analyze higher order production processes for the gauge boson excitations which
have too weak or no couplings to light quarks and, in particular, the loop
induced process $gg \to \vkk \to t\bar t$ and $b\bar b$ in which the anomalous
$gg \vkk $ four--dimensional vertex has to be regulated. The RS effects in this
process, as well as in the four--body reactions $pp \to t\bar t b\bar b$,
$t\bar t t\bar t$, $b\bar b b\bar b$ and in the related three--body reactions
$gb \to b t \bar t$, $b b\bar b$, in which the $\vkk$ excitations are mainly
radiated off the eavy quarks, are shown to be potentially difficult to test at
LHC, due to small hase space and low parton density for $\mkk \gsim 3$ TeV.
|
hep-ph
|
we consider the randallsundrum extra dimensional model with fields propagating in the bulk based on an extended electroweak gauge symmetry with specific fermion charges and localizations that allow to explain the lep anomaly of the forwardbackward asymmetry for bquarks a_fbb we study the manifestations of the stronglyinteracting and electroweak gauge boson kaluzaklein excitations vkk at the lhc with masses of the order of a few tev which dominantly decays into top and bottom quark pairs we first analyze the twobody treelevel production processes pp to tbar t and bbar b in which the kaluzaklein kk excitations of gauge bosons are exchanged we find that the additional channels can lead to a significant excess of events with respect to the standard model prediction characteristic top quark polarization and angular asymmetries are quantitatively studied and turn out to probe the chiral structure of couplings to excited states we then analyze higher order production processes for the gauge boson excitations which have too weak or no couplings to light quarks and in particular the loop induced process gg to vkk to tbar t and bbar b in which the anomalous gg vkk fourdimensional vertex has to be regulated the rs effects in this process as well as in the fourbody reactions pp to tbar t bbar b tbar t tbar t bbar b bbar b and in the related threebody reactions gb to b t bar t b bbar b in which the vkk excitations are mainly radiated off the eavy quarks are shown to be potentially difficult to test at lhc due to small hase space and low parton density for mkk gsim 3 tev
|
[['we', 'consider', 'the', 'randallsundrum', 'extra', 'dimensional', 'model', 'with', 'fields', 'propagating', 'in', 'the', 'bulk', 'based', 'on', 'an', 'extended', 'electroweak', 'gauge', 'symmetry', 'with', 'specific', 'fermion', 'charges', 'and', 'localizations', 'that', 'allow', 'to', 'explain', 'the', 'lep', 'anomaly', 'of', 'the', 'forwardbackward', 'asymmetry', 'for', 'bquarks', 'a_fbb', 'we', 'study', 'the', 'manifestations', 'of', 'the', 'stronglyinteracting', 'and', 'electroweak', 'gauge', 'boson', 'kaluzaklein', 'excitations', 'vkk', 'at', 'the', 'lhc', 'with', 'masses', 'of', 'the', 'order', 'of', 'a', 'few', 'tev', 'which', 'dominantly', 'decays', 'into', 'top', 'and', 'bottom', 'quark', 'pairs', 'we', 'first', 'analyze', 'the', 'twobody', 'treelevel', 'production', 'processes', 'pp', 'to', 'tbar', 't', 'and', 'bbar', 'b', 'in', 'which', 'the', 'kaluzaklein', 'kk', 'excitations', 'of', 'gauge', 'bosons', 'are', 'exchanged', 'we', 'find', 'that', 'the', 'additional', 'channels', 'can', 'lead', 'to', 'a', 'significant', 'excess', 'of', 'events', 'with', 'respect', 'to', 'the', 'standard', 'model', 'prediction', 'characteristic', 'top', 'quark', 'polarization', 'and', 'angular', 'asymmetries', 'are', 'quantitatively', 'studied', 'and', 'turn', 'out', 'to', 'probe', 'the', 'chiral', 'structure', 'of', 'couplings', 'to', 'excited', 'states', 'we', 'then', 'analyze', 'higher', 'order', 'production', 'processes', 'for', 'the', 'gauge', 'boson', 'excitations', 'which', 'have', 'too', 'weak', 'or', 'no', 'couplings', 'to', 'light', 'quarks', 'and', 'in', 'particular', 'the', 'loop', 'induced', 'process', 'gg', 'to', 'vkk', 'to', 'tbar', 't', 'and', 'bbar', 'b', 'in', 'which', 'the', 'anomalous', 'gg', 'vkk', 'fourdimensional', 'vertex', 'has', 'to', 'be', 'regulated', 'the', 'rs', 'effects', 'in', 'this', 'process', 'as', 'well', 'as', 'in', 'the', 'fourbody', 'reactions', 'pp', 'to', 'tbar', 't', 'bbar', 'b', 'tbar', 't', 'tbar', 't', 'bbar', 'b', 'bbar', 'b', 'and', 'in', 'the', 'related', 'threebody', 'reactions', 'gb', 'to', 'b', 't', 'bar', 't', 'b', 'bbar', 'b', 'in', 'which', 'the', 'vkk', 'excitations', 'are', 'mainly', 'radiated', 'off', 'the', 'eavy', 'quarks', 'are', 'shown', 'to', 'be', 'potentially', 'difficult', 'to', 'test', 'at', 'lhc', 'due', 'to', 'small', 'hase', 'space', 'and', 'low', 'parton', 'density', 'for', 'mkk', 'gsim', '3', 'tev']]
|
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|
706.4192
|
Equation of State for Macromolecules of Variable Flexibility in Good
Solvents: A Comparison of Techniques for Monte Carlo Simulations of Lattice
Models
|
The osmotic equation of state for the athermal bond fluctuation model on the
simple cubic lattice is obtained from extensive Monte Carlo simulations. For
short macromolecules (chain length N=20) we study the influence of various
choices for the chain stiffness on the equation of state. Three techniques are
applied and compared in order to critically assess their efficiency and
accuracy: the repulsive wall method, the thermodynamic integration method
(which rests on the feasibility of simulations in the grand canonical
ensemble), and the recently advocated sedimentation equilibrium method, which
records the density profile in an external (e.g. gravitation-like) field and
infers, via a local density approximation, the equation of state from the
hydrostatic equilibrium condition. We confirm the conclusion that the latter
technique is far more efficient than the repulsive wall method, but we find
that the thermodynamic integration method is similarly efficient as the
sedimentation equilibrium method. For very stiff chains the onset of nematic
order enforces the formation of isotropic-nematic interface in the
sedimentation equilibrium method leading to strong rounding effects and
deviations from the true equation of state in the transition regime.
|
cond-mat.soft
|
the osmotic equation of state for the athermal bond fluctuation model on the simple cubic lattice is obtained from extensive monte carlo simulations for short macromolecules chain length n20 we study the influence of various choices for the chain stiffness on the equation of state three techniques are applied and compared in order to critically assess their efficiency and accuracy the repulsive wall method the thermodynamic integration method which rests on the feasibility of simulations in the grand canonical ensemble and the recently advocated sedimentation equilibrium method which records the density profile in an external eg gravitationlike field and infers via a local density approximation the equation of state from the hydrostatic equilibrium condition we confirm the conclusion that the latter technique is far more efficient than the repulsive wall method but we find that the thermodynamic integration method is similarly efficient as the sedimentation equilibrium method for very stiff chains the onset of nematic order enforces the formation of isotropicnematic interface in the sedimentation equilibrium method leading to strong rounding effects and deviations from the true equation of state in the transition regime
|
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|
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|
706.4193
|
Transportation-information inequalities for Markov processes
|
In this paper, one investigates the following type of
transportation-information $T_cI$ inequalities: $\alpha(T_c(\nu,\mu))\le
I(\nu|\mu)$ for all probability measures $\nu$ on some metric space $(\XX, d)$,
where $\mu$ is a given probability measure, $T_c(\nu,\mu)$ is the
transportation cost from $\nu$ to $\mu$ with respect to some cost function
$c(x,y)$ on $\XX^2$, $I(\nu|\mu)$ is the Fisher-Donsker-Varadhan information of
$\nu$ with respect to $\mu$ and $\alpha: [0,\infty)\to [0,\infty]$ is some left
continuous increasing function. Using large deviation techniques, it is shown
that $T_cI$ is equivalent to some concentration inequality for the occupation
measure of a $\mu$-reversible ergodic Markov process related to $I(\cdot|\mu)$,
a counterpart of the characterizations of transportation-entropy inequalities,
recently obtained by Gozlan and L\'eonard in the i.i.d. case . Tensorization
properties of $T_cI$ are also derived.
|
math.PR math.FA
|
in this paper one investigates the following type of transportationinformation t_ci inequalities alphat_cnumule inumu for all probability measures nu on some metric space xx d where mu is a given probability measure t_cnumu is the transportation cost from nu to mu with respect to some cost function cxy on xx2 inumu is the fisherdonskervaradhan information of nu with respect to mu and alpha 0inftyto 0infty is some left continuous increasing function using large deviation techniques it is shown that t_ci is equivalent to some concentration inequality for the occupation measure of a mureversible ergodic markov process related to icdotmu a counterpart of the characterizations of transportationentropy inequalities recently obtained by gozlan and leonard in the iid case tensorization properties of t_ci are also derived
|
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|
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|
706.4194
|
Kinetics of indirect excitons in the optically-induced exciton trap
|
We report on the kinetics of a low-temperature gas of indirect excitons in
the optically-induced exciton trap. The excitons in the region of laser
excitation are found to rapidly -- within 4 ns -- cool to the lattice
temperature T = 1.4 K, while the excitons at the trap center are found to be
cold -- essentially at the lattice temperature -- even during the excitation
pulse. The loading time of excitons to the trap center is found to be about 40
ns, longer than the cooling time yet shorter than the lifetime of the indirect
excitons. The observed time hierarchy is favorable for creating a dense and
cold exciton gas in optically-induced traps and for in situ control of the gas
by varying the excitation profile in space and time before the excitons
recombine.
|
cond-mat.mes-hall
|
we report on the kinetics of a lowtemperature gas of indirect excitons in the opticallyinduced exciton trap the excitons in the region of laser excitation are found to rapidly within 4 ns cool to the lattice temperature t 14 k while the excitons at the trap center are found to be cold essentially at the lattice temperature even during the excitation pulse the loading time of excitons to the trap center is found to be about 40 ns longer than the cooling time yet shorter than the lifetime of the indirect excitons the observed time hierarchy is favorable for creating a dense and cold exciton gas in opticallyinduced traps and for in situ control of the gas by varying the excitation profile in space and time before the excitons recombine
|
[['we', 'report', 'on', 'the', 'kinetics', 'of', 'a', 'lowtemperature', 'gas', 'of', 'indirect', 'excitons', 'in', 'the', 'opticallyinduced', 'exciton', 'trap', 'the', 'excitons', 'in', 'the', 'region', 'of', 'laser', 'excitation', 'are', 'found', 'to', 'rapidly', 'within', '4', 'ns', 'cool', 'to', 'the', 'lattice', 'temperature', 't', '14', 'k', 'while', 'the', 'excitons', 'at', 'the', 'trap', 'center', 'are', 'found', 'to', 'be', 'cold', 'essentially', 'at', 'the', 'lattice', 'temperature', 'even', 'during', 'the', 'excitation', 'pulse', 'the', 'loading', 'time', 'of', 'excitons', 'to', 'the', 'trap', 'center', 'is', 'found', 'to', 'be', 'about', '40', 'ns', 'longer', 'than', 'the', 'cooling', 'time', 'yet', 'shorter', 'than', 'the', 'lifetime', 'of', 'the', 'indirect', 'excitons', 'the', 'observed', 'time', 'hierarchy', 'is', 'favorable', 'for', 'creating', 'a', 'dense', 'and', 'cold', 'exciton', 'gas', 'in', 'opticallyinduced', 'traps', 'and', 'for', 'in', 'situ', 'control', 'of', 'the', 'gas', 'by', 'varying', 'the', 'excitation', 'profile', 'in', 'space', 'and', 'time', 'before', 'the', 'excitons', 'recombine']]
|
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|
706.4195
|
Flag Partial Differential Equations and Representations of Lie Algebras
|
In this paper, we solve the initial value problems of variable-coefficient
generalized wave equations associated with trees and a large family of linear
constant-coefficient partial differential equation by algebraic methods.
Moreover, we find all the polynomial solutions for a 3-dimensional
variable-coefficient flag partial differential equation of any order, the
linear wave equation with dissipation and the generalized anisymmetrical
Laplace equation. Furthermore, the polynomial-trigonometric solutions of a
generalized Klein-Gordan equation associated with 3-dimensional generalized
Tricomi operator $\ptl_x^2+x\ptl_y^2+y\ptl_z^2$ are also given. As applications
to representations of Lie algebras, we find certain irreducible polynomial
representations of the Lie algebras $sl(n,\mbb{F}), so(n,\mbb{F})$ and the
simple Lie algebra of type $G_2$.
|
math.RT math-ph math.AP math.MP nlin.SI
|
in this paper we solve the initial value problems of variablecoefficient generalized wave equations associated with trees and a large family of linear constantcoefficient partial differential equation by algebraic methods moreover we find all the polynomial solutions for a 3dimensional variablecoefficient flag partial differential equation of any order the linear wave equation with dissipation and the generalized anisymmetrical laplace equation furthermore the polynomialtrigonometric solutions of a generalized kleingordan equation associated with 3dimensional generalized tricomi operator ptl_x2xptl_y2yptl_z2 are also given as applications to representations of lie algebras we find certain irreducible polynomial representations of the lie algebras slnmbbf sonmbbf and the simple lie algebra of type g_2
|
[['in', 'this', 'paper', 'we', 'solve', 'the', 'initial', 'value', 'problems', 'of', 'variablecoefficient', 'generalized', 'wave', 'equations', 'associated', 'with', 'trees', 'and', 'a', 'large', 'family', 'of', 'linear', 'constantcoefficient', 'partial', 'differential', 'equation', 'by', 'algebraic', 'methods', 'moreover', 'we', 'find', 'all', 'the', 'polynomial', 'solutions', 'for', 'a', '3dimensional', 'variablecoefficient', 'flag', 'partial', 'differential', 'equation', 'of', 'any', 'order', 'the', 'linear', 'wave', 'equation', 'with', 'dissipation', 'and', 'the', 'generalized', 'anisymmetrical', 'laplace', 'equation', 'furthermore', 'the', 'polynomialtrigonometric', 'solutions', 'of', 'a', 'generalized', 'kleingordan', 'equation', 'associated', 'with', '3dimensional', 'generalized', 'tricomi', 'operator', 'ptl_x2xptl_y2yptl_z2', 'are', 'also', 'given', 'as', 'applications', 'to', 'representations', 'of', 'lie', 'algebras', 'we', 'find', 'certain', 'irreducible', 'polynomial', 'representations', 'of', 'the', 'lie', 'algebras', 'slnmbbf', 'sonmbbf', 'and', 'the', 'simple', 'lie', 'algebra', 'of', 'type', 'g_2']]
|
[-0.16941684706136584, 0.014374318541958928, -0.04369666412472725, 0.06323950655176304, -0.21290231408085675, -0.11482995272148401, -0.08893920255708508, 0.2607786575704813, -0.3779938149265945, -0.2086261430475861, 0.15689085652003995, -0.2751346963644028, -0.21171133559197186, 0.19861389704979956, -0.02822181790135801, 0.08803225113078952, 0.09107802735641599, 0.10389054386876523, -0.18710322913248092, -0.24703428622335197, 0.4644164454191923, -0.09678425651974976, 0.19389861593954266, -0.014692145120352506, 0.22954377205111087, -0.029284386094659567, -0.0072447462566196915, 0.011641825470142066, -0.19689171522855758, 0.08949969954090192, 0.3107944891322404, 0.046386584667488934, 0.23089210871141405, -0.39996598854660986, -0.16389772118069232, 0.17358880774118007, 0.1629291494609788, 0.09873366860672832, -0.019493681364692747, -0.2893761736806482, 0.052540178894996646, -0.20327060730429367, -0.21803933462128045, -0.05318639925681055, 0.028961550979875027, 0.09662280386313796, -0.2680039954558015, 0.12365570001973537, 0.07224794617854059, 0.03393984011840075, -0.1493355115270242, -0.11237296776263975, -0.051846726518124345, -0.02550441658589989, -0.07644393829861656, -0.024178091753274202, -0.007425223318859935, -0.11504050401737914, -0.14946717146784066, 0.38300280935305636, -0.05121291631483473, -0.3382788830623031, 0.07774648143909872, -0.14643559403251857, -0.16261897313408555, 0.12621536960825325, 0.1632885915786028, 0.16252992015331982, -0.12440880671143532, 0.15581478586245795, -0.08590837555908365, 0.03882659951923415, 0.10614302697125823, -0.04236115395091474, 0.05029291738756001, 0.08195490973070264, 0.06712553238030523, 0.11338731816038489, 0.07100181709858588, -0.09035632424522191, -0.3465755581855774, -0.17030844741035253, -0.06526766121969559, 0.11417086869798368, -0.16736237569260992, -0.20512952509336174, 0.3959401189535856, 0.08279234966728836, 0.13828934643417598, 0.12820567354559897, 0.18313357132021338, 0.26049167623627, 0.0452058021054836, 0.07784804601222277, 0.09515106462407857, 0.27821775099495427, 0.06919739574193955, -0.22039810804650187, -0.048353358949534596, 0.19724729291163384]
|
706.4196
|
The paraboson Fock space and unitary irreducible representations of the
Lie superalgebra osp(1|2n)
|
It is known that the defining relations of the orthosymplectic Lie
superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n
pairs of paraboson operators $b^\pm_i$. In particular, with the usual star
conditions, this implies that the ``parabosons of order p'' correspond to a
unitary irreducible (infinite-dimensional) lowest weight representation V(p) of
osp(1|2n). Apart from the simple cases p=1 or n=1, these representations had
never been constructed due to computational difficulties, despite their
importance. In the present paper we give an explicit and elegant construction
of these representations V(p), and we present explicit actions or matrix
elements of the osp(1|2n) generators. The orthogonal basis vectors of V(p) are
written in terms of Gelfand-Zetlin patterns, where the subalgebra u(n) of
osp(1|2n) plays a crucial role. Our results also lead to character formulas for
these infinite-dimensional osp(1|2n) representations. Furthermore, by
considering the branching $ osp(1|2n) \supset sp(2n) \supset u(n)$, we find
explicit infinite-dimensional unitary irreducible lowest weight representations
of sp(2n) and their characters.
|
hep-th math-ph math.GR math.MP math.RT quant-ph
|
it is known that the defining relations of the orthosymplectic lie superalgebra osp12n are equivalent to the defining triple relations of n pairs of paraboson operators bpm_i in particular with the usual star conditions this implies that the parabosons of order p correspond to a unitary irreducible infinitedimensional lowest weight representation vp of osp12n apart from the simple cases p1 or n1 these representations had never been constructed due to computational difficulties despite their importance in the present paper we give an explicit and elegant construction of these representations vp and we present explicit actions or matrix elements of the osp12n generators the orthogonal basis vectors of vp are written in terms of gelfandzetlin patterns where the subalgebra un of osp12n plays a crucial role our results also lead to character formulas for these infinitedimensional osp12n representations furthermore by considering the branching osp12n supset sp2n supset un we find explicit infinitedimensional unitary irreducible lowest weight representations of sp2n and their characters
|
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|
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|
706.4197
|
On the Theory of Relative Bitopological and Topological Properties
|
In the first part of the work (Sections 2-6) a special attention is given to
relative separation axioms and relative connectedness, in particular, many
relative versions of p-T_0, p-T_1, p-T_2, (i,j)- and p-regularities, (i,j)- and
p-complete regularities, p-real normality and p-normality are discussed.
Moreover, relative properties of (i,j)- and p-compactness types, including
relative versions of (i,j)- and p-paracompactness, (i,j)- and p-Lindeofness,
(i,j)- and p-pseudocompactness are also introduced and investigated. The second
part (Sections 7-12) is devoted, on the one hand, to relative bitopological
inductive and covering dimension functions and, on the other hand, to relative
versions of Baire spaces for both the topological and the bitopological case.
At the end, note that relative (bi)topological properties play a special role
not only in the development of respective theories, but also in the
strengthening of the previously known results.
|
math.GN
|
in the first part of the work sections 26 a special attention is given to relative separation axioms and relative connectedness in particular many relative versions of pt_0 pt_1 pt_2 ij and pregularities ij and pcomplete regularities preal normality and pnormality are discussed moreover relative properties of ij and pcompactness types including relative versions of ij and pparacompactness ij and plindeofness ij and ppseudocompactness are also introduced and investigated the second part sections 712 is devoted on the one hand to relative bitopological inductive and covering dimension functions and on the other hand to relative versions of baire spaces for both the topological and the bitopological case at the end note that relative bitopological properties play a special role not only in the development of respective theories but also in the strengthening of the previously known results
|
[['in', 'the', 'first', 'part', 'of', 'the', 'work', 'sections', '26', 'a', 'special', 'attention', 'is', 'given', 'to', 'relative', 'separation', 'axioms', 'and', 'relative', 'connectedness', 'in', 'particular', 'many', 'relative', 'versions', 'of', 'pt_0', 'pt_1', 'pt_2', 'ij', 'and', 'pregularities', 'ij', 'and', 'pcomplete', 'regularities', 'preal', 'normality', 'and', 'pnormality', 'are', 'discussed', 'moreover', 'relative', 'properties', 'of', 'ij', 'and', 'pcompactness', 'types', 'including', 'relative', 'versions', 'of', 'ij', 'and', 'pparacompactness', 'ij', 'and', 'plindeofness', 'ij', 'and', 'ppseudocompactness', 'are', 'also', 'introduced', 'and', 'investigated', 'the', 'second', 'part', 'sections', '712', 'is', 'devoted', 'on', 'the', 'one', 'hand', 'to', 'relative', 'bitopological', 'inductive', 'and', 'covering', 'dimension', 'functions', 'and', 'on', 'the', 'other', 'hand', 'to', 'relative', 'versions', 'of', 'baire', 'spaces', 'for', 'both', 'the', 'topological', 'and', 'the', 'bitopological', 'case', 'at', 'the', 'end', 'note', 'that', 'relative', 'bitopological', 'properties', 'play', 'a', 'special', 'role', 'not', 'only', 'in', 'the', 'development', 'of', 'respective', 'theories', 'but', 'also', 'in', 'the', 'strengthening', 'of', 'the', 'previously', 'known', 'results']]
|
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|
706.4198
|
Cosmological constraints on neutrino plus axion hot dark matter
|
We use observations of the cosmological large-scale structure to derive
limits on two-component hot dark matter consisting of mass-degenerate neutrinos
and hadronic axions, both components having velocity dispersions corresponding
to their respective decoupling temperatures. We restrict the data samples to
the safely linear regime, in particular excluding the Lyman-alpha forest. Using
standard Bayesian inference techniques we derive credible regions in the
two-parameter space of m_a and sum(m_nu). Marginalising over sum(m_nu) provides
m_a < 1.2 eV (95% C.L.). In the absence of axions the same data and methods
give sum(m_nu) < 0.65 eV (95% C.L.). We also derive limits on m_a for a range
of axion-pion couplings up to one order of magnitude larger or smaller than the
hadronic value.
|
astro-ph hep-ph
|
we use observations of the cosmological largescale structure to derive limits on twocomponent hot dark matter consisting of massdegenerate neutrinos and hadronic axions both components having velocity dispersions corresponding to their respective decoupling temperatures we restrict the data samples to the safely linear regime in particular excluding the lymanalpha forest using standard bayesian inference techniques we derive credible regions in the twoparameter space of m_a and summ_nu marginalising over summ_nu provides m_a 12 ev 95 cl in the absence of axions the same data and methods give summ_nu 065 ev 95 cl we also derive limits on m_a for a range of axionpion couplings up to one order of magnitude larger or smaller than the hadronic value
|
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|
[-0.10599098066349738, 0.18618942724424414, 0.01494369473597356, 0.11547451164846405, -0.09267716265909759, -0.06502795653369535, 0.1314294222292715, 0.3353687270769271, -0.15528134198995822, -0.37722050315090294, 0.05394863798624258, -0.28426279348536027, 0.0770513876000066, 0.20616504235658795, 0.0764643349724918, -0.012453024644918483, 0.022063034879653876, -0.010739567009671913, -0.09141144844109257, -0.2642307462851148, 0.24949171279300134, 0.05196835245166359, 0.22625747966130488, 0.008917046594433486, 0.10005860330320188, -0.040025743250413956, -0.014452199128472471, -0.08032382987785867, -0.22127864198711025, 0.09865046697187013, 0.2175220608638985, 0.09950294463236913, 0.16438720375700885, -0.3491905421974009, -0.1846779139708313, 0.176613675004899, 0.17212514324386702, 0.052306642346405266, 0.026001637855721318, -0.30961414081333527, 0.0790462785135505, -0.18928247148468128, -0.09381985684037851, -0.03509598919832758, -0.04264211742175293, -0.05403980925871894, -0.30008743516147407, 0.17290570158767313, -0.05344656624445884, 0.009350161541831391, -0.08174897451957303, -0.21261931032921863, -0.0463547389417413, 0.0031178950408377267, 0.05911872533535392, -0.03758593168157827, 0.16048241073891906, -0.14727061881346565, -0.048090519624408974, 0.42859379600348146, -0.15652338671058935, -0.1282840856383073, 0.17405635801722005, -0.157018471244273, -0.16465582221782574, 0.1575964560575687, 0.19703192103670203, 0.08374074061706277, -0.14536153166283902, 0.14130358721364433, -0.029933577274967885, 0.22098264821548144, 0.0806428740997317, 0.03027008461428742, 0.2735354101991859, 0.16921598101958055, 0.07937379452897435, 0.017040216247551143, -0.1653112849252748, -0.0514120708906156, -0.29459406085440826, -0.07957945853709604, -0.07394033059445691, 0.04973556055659268, -0.1768415760654597, -0.11802106517254664, 0.3389400002699153, 0.202569397061999, 0.24759522086844363, 0.08671310573719956, 0.2918270390424556, 0.12851963018805818, 0.024679148419166047, 0.06259383568299356, 0.3325527337558391, 0.16847868270947244, 0.04257528793271471, -0.12560900854817914, -0.051704779106738236, 0.005598803363933131]
|
706.4199
|
Radial and vertical angular momentum transport in protostellar discs
|
Angular momentum in protostellar discs can be transported either radially,
through turbulence induced by the magnetorotational instability (MRI), or
vertically, through the torque exerted by a large-scale magnetic field. We
present a model of steady-state discs where these two mechanisms operate at the
same radius and derive approximate criteria for their occurrence in an
ambipolar diffusion dominated disc. We obtain "weak field'' solutions - which
we associate with the MRI channel modes in a stratified disc - and transform
them into accretion solutions with predominantly radial angular-momentum
transport by implementing a turbulent-stress prescription based on published
results of numerical simulations. We also analyze "intermediate field
strength'' solutions in which both radial and vertical transport operate at the
same radial location. Our results suggest, however, that this overlap is
unlikely to occur in real discs.
|
astro-ph
|
angular momentum in protostellar discs can be transported either radially through turbulence induced by the magnetorotational instability mri or vertically through the torque exerted by a largescale magnetic field we present a model of steadystate discs where these two mechanisms operate at the same radius and derive approximate criteria for their occurrence in an ambipolar diffusion dominated disc we obtain weak field solutions which we associate with the mri channel modes in a stratified disc and transform them into accretion solutions with predominantly radial angularmomentum transport by implementing a turbulentstress prescription based on published results of numerical simulations we also analyze intermediate field strength solutions in which both radial and vertical transport operate at the same radial location our results suggest however that this overlap is unlikely to occur in real discs
|
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|
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|
706.42
|
Few body Calculation of Neutrino Neutral Inelastic scattering on 4He
|
The inelastic neutral reaction of neutrino on 4He is calculated using two
modern nucleon--nucleon potentials. Full final state interaction among the four
nucleons is considered, via the Lorentz integral transform (LIT) method. The
effective interaction hyperspherical-harmonic (EIHH) approach is used to solve
the resulting Schrodinger like equations. A detailed energy dependent
calculation is given in the impulse approximation.
|
nucl-th
|
the inelastic neutral reaction of neutrino on 4he is calculated using two modern nucleonnucleon potentials full final state interaction among the four nucleons is considered via the lorentz integral transform lit method the effective interaction hypersphericalharmonic eihh approach is used to solve the resulting schrodinger like equations a detailed energy dependent calculation is given in the impulse approximation
|
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|
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|
706.4201
|
Tree Diagram Lie Algebras of Differential Operators and Evolution
Partial Differential Equations
|
A tree diagram is a tree with positive integral weight on each edge, which is
a notion generalized from the Dynkin diagrams of finite-dimensional simple Lie
algebras. We introduce two nilpotent Lie algebras and their extended solvable
Lie algebras associated with each tree diagram. The solvable tree diagram Lie
algebras turn out to be complete Lie algebras of maximal rank analogous to the
Borel subalgebras of finite-dimensional simple Lie algebras. Their abelian
ideals are completely determined. Using a high-order Campbell-Hausdorff formula
and certain abelian ideals of the tree diagram Lie algebras, we solve the
initial value problem of first-order evolution partial differential equations
associated with nilpotent tree diagram Lie algebras and high-order evolution
partial differential equations, including heat conduction type equations
related to generalized Tricomi operators associated with trees.
|
math.RT math-ph math.AP math.MP nlin.SI
|
a tree diagram is a tree with positive integral weight on each edge which is a notion generalized from the dynkin diagrams of finitedimensional simple lie algebras we introduce two nilpotent lie algebras and their extended solvable lie algebras associated with each tree diagram the solvable tree diagram lie algebras turn out to be complete lie algebras of maximal rank analogous to the borel subalgebras of finitedimensional simple lie algebras their abelian ideals are completely determined using a highorder campbellhausdorff formula and certain abelian ideals of the tree diagram lie algebras we solve the initial value problem of firstorder evolution partial differential equations associated with nilpotent tree diagram lie algebras and highorder evolution partial differential equations including heat conduction type equations related to generalized tricomi operators associated with trees
|
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|
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|
706.4202
|
Coherence and Spatial Resolution of Transport in Quantum Cascade Lasers
|
The method of nonequilibrium Greens functions allows for a spatial and
energetical resolution of the electron current in Quantum Cascade Lasers. While
scattering does not change the spatial position of carriers, the entire spatial
evolution of charge can be attributed to coherent transport by complex wave
functions. We discuss the hierarchy of transport models and derive the density
matrix equations as well as the hopping model starting from the nonequilibrium
Greens functions approach.
|
cond-mat.mes-hall
|
the method of nonequilibrium greens functions allows for a spatial and energetical resolution of the electron current in quantum cascade lasers while scattering does not change the spatial position of carriers the entire spatial evolution of charge can be attributed to coherent transport by complex wave functions we discuss the hierarchy of transport models and derive the density matrix equations as well as the hopping model starting from the nonequilibrium greens functions approach
|
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|
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|
706.4203
|
Optimal curves of low genus over finite fields
|
The Hasse-Weil-Serre bound is improved for curves of low genera over finite
fields with discriminant in {-3,-4,-7,-8,-11,-19} by studying optimal curves.
|
math.AG math.NT
|
the hasseweilserre bound is improved for curves of low genera over finite fields with discriminant in 34781119 by studying optimal curves
|
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|
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|
706.4204
|
Investigation of Pygmy Dipole Resonances in the Tin Region
|
The evolution of the low-energy electromagnetic dipole response with the
neutron excess is investigated along the Sn isotopic chain within an approach
incorporating Hartree-Fock-Bogoljubov (HFB) and multi-phonon
Quasiparticle-Phonon-Model (QPM) theory. General aspects of the relationship of
nuclear skins and dipole sum rules are discussed. Neutron and proton transition
densities serve to identify the Pygmy Dipole Resonance (PDR) as a generic mode
of excitation. The PDR is distinct from the GDR by its own characteristic
pattern given by a mixture of isoscalar and isovector components. Results for
the $^{100}$Sn-$^{132}$Sn isotopes and the several N=82 isotones are presented.
In the heavy Sn-isotopes the PDR excitations are closely related to the
thickness of the neutron skin. Approaching $^{100}$Sn a gradual change from a
neutron to a proton skin is found and the character of the PDR is changed
correspondingly. A delicate balance between Coulomb and strong interaction
effects is found. The fragmentation of the PDR strength in $^{124}$Sn is
investigated by multi-phonon calculations. Recent measurements of the dipole
response in $^{130,132}$Sn are well reproduced.
|
nucl-th
|
the evolution of the lowenergy electromagnetic dipole response with the neutron excess is investigated along the sn isotopic chain within an approach incorporating hartreefockbogoljubov hfb and multiphonon quasiparticlephononmodel qpm theory general aspects of the relationship of nuclear skins and dipole sum rules are discussed neutron and proton transition densities serve to identify the pygmy dipole resonance pdr as a generic mode of excitation the pdr is distinct from the gdr by its own characteristic pattern given by a mixture of isoscalar and isovector components results for the 100sn132sn isotopes and the several n82 isotones are presented in the heavy snisotopes the pdr excitations are closely related to the thickness of the neutron skin approaching 100sn a gradual change from a neutron to a proton skin is found and the character of the pdr is changed correspondingly a delicate balance between coulomb and strong interaction effects is found the fragmentation of the pdr strength in 124sn is investigated by multiphonon calculations recent measurements of the dipole response in 130132sn are well reproduced
|
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|
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|
706.4205
|
The extended Burnside ring and module categories
|
In this note an `extended Burnside ring' is defined, generated by classes of
semisimple module categories over Rep(G) with quasifibre functors. Here G is a
finite group and representations are taken over an algebraically closed field
of characteristic 0. It is shown that this is equivalent to a ring generated by
centrally extended G-sets and hence the name. Ring homomorphisms into the
multiplicative group of the field are computed with an explicit formula and
tables of these homomorphisms are given for the groups S_4 and S_5 which are of
particular interest in the context of reductive algebraic groups.
-----
L'anneau de Burnside \'etendu et cat\'egories de modules. Dans cette note un
`Anneau de Burnside \'etendu' est d\'efini, gener\'e par des classes de
cat\'egories de modules semisimples sur Rep(G) avec des foncteurs quasifibres.
Ici G est un groupe fini, et des repr\'esentations sont prises sur un corps
alg\'ebriquement clos de caract\'eristique nulle. Il est demontr\'e que ceci
\'equivaut \`a un anneau gener\'e par des G-ensembles centralement \'etendus,
d'o\`u le nom. Des homomorphismes d'anneau dans le groupe multiplicatif du
corps sont comput\'ees avec une formule explicite et des tableaux de ces
homomorphismes sont fournis pour les groupes S_4 et S_5 qui sont d'un
int\'er\^et particulier dans le contexte de groupes alg\'ebriques r\'eductifs.
|
math.RT
|
in this note an extended burnside ring is defined generated by classes of semisimple module categories over repg with quasifibre functors here g is a finite group and representations are taken over an algebraically closed field of characteristic 0 it is shown that this is equivalent to a ring generated by centrally extended gsets and hence the name ring homomorphisms into the multiplicative group of the field are computed with an explicit formula and tables of these homomorphisms are given for the groups s_4 and s_5 which are of particular interest in the context of reductive algebraic groups lanneau de burnside etendu et categories de modules dans cette note un anneau de burnside etendu est defini genere par des classes de categories de modules semisimples sur repg avec des foncteurs quasifibres ici g est un groupe fini et des representations sont prises sur un corps algebriquement clos de caracteristique nulle il est demontre que ceci equivaut a un anneau genere par des gensembles centralement etendus dou le nom des homomorphismes danneau dans le groupe multiplicatif du corps sont computees avec une formule explicite et des tableaux de ces homomorphismes sont fournis pour les groupes s_4 et s_5 qui sont dun interet particulier dans le contexte de groupes algebriques reductifs
|
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|
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|
706.4206
|
Calorons and dyons at the thermal phase transition analyzed by overlap
fermions
|
In a pilot study, we use the topological charge density defined by the
eigenmodes of the overlap Dirac operator (with ultraviolet filtering by
mode-truncation) to search for lumps of topological charge in SU(2) pure gauge
theory. Augmenting this search with periodic and antiperiodic temporal boundary
conditions for the overlap fermions, we demonstrate that the lumps can be
classified either as calorons or as separate caloron constituents (dyons).
Inside the topological charge clusters the (smeared) Polyakov loop is found to
show the typical profile characteristic for calorons and dyons. This
investigation, motivated by recent caloron/dyon model studies, is performed at
the deconfinement phase transition for SU(2) gluodynamics on 20^3 x 6 lattices
described by the tadpole improved L\"uscher-Weisz action. The transition point
has been carefully located. As a necessary condition for the caloron/dyon
detection capability, we check that the LW action, in contrast to the Wilson
action, generates lattice ensembles, for which the overlap Dirac eigenvalue
spectrum smoothly behaves under smearing and under the change of the boundary
conditions.
|
hep-lat hep-ph
|
in a pilot study we use the topological charge density defined by the eigenmodes of the overlap dirac operator with ultraviolet filtering by modetruncation to search for lumps of topological charge in su2 pure gauge theory augmenting this search with periodic and antiperiodic temporal boundary conditions for the overlap fermions we demonstrate that the lumps can be classified either as calorons or as separate caloron constituents dyons inside the topological charge clusters the smeared polyakov loop is found to show the typical profile characteristic for calorons and dyons this investigation motivated by recent calorondyon model studies is performed at the deconfinement phase transition for su2 gluodynamics on 203 x 6 lattices described by the tadpole improved luscherweisz action the transition point has been carefully located as a necessary condition for the calorondyon detection capability we check that the lw action in contrast to the wilson action generates lattice ensembles for which the overlap dirac eigenvalue spectrum smoothly behaves under smearing and under the change of the boundary conditions
|
[['in', 'a', 'pilot', 'study', 'we', 'use', 'the', 'topological', 'charge', 'density', 'defined', 'by', 'the', 'eigenmodes', 'of', 'the', 'overlap', 'dirac', 'operator', 'with', 'ultraviolet', 'filtering', 'by', 'modetruncation', 'to', 'search', 'for', 'lumps', 'of', 'topological', 'charge', 'in', 'su2', 'pure', 'gauge', 'theory', 'augmenting', 'this', 'search', 'with', 'periodic', 'and', 'antiperiodic', 'temporal', 'boundary', 'conditions', 'for', 'the', 'overlap', 'fermions', 'we', 'demonstrate', 'that', 'the', 'lumps', 'can', 'be', 'classified', 'either', 'as', 'calorons', 'or', 'as', 'separate', 'caloron', 'constituents', 'dyons', 'inside', 'the', 'topological', 'charge', 'clusters', 'the', 'smeared', 'polyakov', 'loop', 'is', 'found', 'to', 'show', 'the', 'typical', 'profile', 'characteristic', 'for', 'calorons', 'and', 'dyons', 'this', 'investigation', 'motivated', 'by', 'recent', 'calorondyon', 'model', 'studies', 'is', 'performed', 'at', 'the', 'deconfinement', 'phase', 'transition', 'for', 'su2', 'gluodynamics', 'on', '203', 'x', '6', 'lattices', 'described', 'by', 'the', 'tadpole', 'improved', 'luscherweisz', 'action', 'the', 'transition', 'point', 'has', 'been', 'carefully', 'located', 'as', 'a', 'necessary', 'condition', 'for', 'the', 'calorondyon', 'detection', 'capability', 'we', 'check', 'that', 'the', 'lw', 'action', 'in', 'contrast', 'to', 'the', 'wilson', 'action', 'generates', 'lattice', 'ensembles', 'for', 'which', 'the', 'overlap', 'dirac', 'eigenvalue', 'spectrum', 'smoothly', 'behaves', 'under', 'smearing', 'and', 'under', 'the', 'change', 'of', 'the', 'boundary', 'conditions']]
|
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|
706.4207
|
Complex weak values in quantum measurement
|
In the weak measurement formalism of Y. Aharonov et al. the so-called weak
value A_w of any observable A is generally a complex number. We derive a
physical interpretation of its value in terms of the shift in the measurement
pointer's mean position and mean momentum. In particular we show that the mean
position shift contains a term jointly proportional to the imaginary part of
the weak value and the rate at which the pointer is spreading in space as it
enters the measurement interaction.
|
quant-ph
|
in the weak measurement formalism of y aharonov et al the socalled weak value a_w of any observable a is generally a complex number we derive a physical interpretation of its value in terms of the shift in the measurement pointers mean position and mean momentum in particular we show that the mean position shift contains a term jointly proportional to the imaginary part of the weak value and the rate at which the pointer is spreading in space as it enters the measurement interaction
|
[['in', 'the', 'weak', 'measurement', 'formalism', 'of', 'y', 'aharonov', 'et', 'al', 'the', 'socalled', 'weak', 'value', 'a_w', 'of', 'any', 'observable', 'a', 'is', 'generally', 'a', 'complex', 'number', 'we', 'derive', 'a', 'physical', 'interpretation', 'of', 'its', 'value', 'in', 'terms', 'of', 'the', 'shift', 'in', 'the', 'measurement', 'pointers', 'mean', 'position', 'and', 'mean', 'momentum', 'in', 'particular', 'we', 'show', 'that', 'the', 'mean', 'position', 'shift', 'contains', 'a', 'term', 'jointly', 'proportional', 'to', 'the', 'imaginary', 'part', 'of', 'the', 'weak', 'value', 'and', 'the', 'rate', 'at', 'which', 'the', 'pointer', 'is', 'spreading', 'in', 'space', 'as', 'it', 'enters', 'the', 'measurement', 'interaction']]
|
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|
706.4208
|
Penetration of Andreev bound states into the ferromagnet in a
SrRuO$_{3}$/(110)YBa$_2$Cu$_3$O$_{7-\delta}$ bilayer: a scanning tunneling
spectroscopy study
|
Scanning tunneling spectroscopy of thin epitaxial
$SrRuO_{3}/(110)YBa_2Cu_3O_{7-\delta}$ ferromagnet/superconductor bilayers,
reveal a clear penetration of the Andreev bound states into the ferromagnetic
layer. The penetration is manifested in the density of states of the
ferromagnet as a split zero bias conductance peak with an imbalance between
peak heights. Our data indicate that the splitting occurs at the superconductor
side as a consequence of induced magnetization, confirming recent theoretical
predictions. The imbalance is attributed to the spin polarization in the
ferromagnet.
|
cond-mat.supr-con
|
scanning tunneling spectroscopy of thin epitaxial srruo_3110yba_2cu_3o_7delta ferromagnetsuperconductor bilayers reveal a clear penetration of the andreev bound states into the ferromagnetic layer the penetration is manifested in the density of states of the ferromagnet as a split zero bias conductance peak with an imbalance between peak heights our data indicate that the splitting occurs at the superconductor side as a consequence of induced magnetization confirming recent theoretical predictions the imbalance is attributed to the spin polarization in the ferromagnet
|
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|
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|
706.4209
|
Elastic relaxation during 2D epitaxial growth: a study of in-plane
lattice spacing oscillations
|
The purpose of this paper is to report some new experimental and theoretical
results about the analysis of in-plane lattice spacing oscillations during
two-dimensional (2D) homo and hetero epitaxial growth. The physical origin of
these oscillations comes from the finite size of the strained islands. The 2D
islands may thus relax by their edges, leading to in-plane lattice spacing
oscillations during the birth and spread of these islands. On the one hand, we
formulate the problem of elastic relaxation of a coherent 2D epitaxial deposits
by using the concept of point forces and demonstrate that the mean deformation
in the islands exhibits an oscillatory behaviour. On the other hand, we
calculate the intensity diffracted by such coherently deposited 2D islands by
using a mean model of a pile-up of weakly deformed layers. The amplitude of
in-plane lattice spacing oscillations is found to depend linearly on the misfit
and roughly linearly on the nucleation density. We show that the nucleation
density may be approximated from the full-width at half maximum of the
diffracted rods at half coverages. The predicted dependence of the in-plane
lattice spacing oscillations amplitude with the nucleation density is thus
experimentally verified on V/Fe(001), Mn/Fe(001), Ni/Fe(001), Co/Cu(001) and
V/V(001).
|
cond-mat.mtrl-sci
|
the purpose of this paper is to report some new experimental and theoretical results about the analysis of inplane lattice spacing oscillations during twodimensional 2d homo and hetero epitaxial growth the physical origin of these oscillations comes from the finite size of the strained islands the 2d islands may thus relax by their edges leading to inplane lattice spacing oscillations during the birth and spread of these islands on the one hand we formulate the problem of elastic relaxation of a coherent 2d epitaxial deposits by using the concept of point forces and demonstrate that the mean deformation in the islands exhibits an oscillatory behaviour on the other hand we calculate the intensity diffracted by such coherently deposited 2d islands by using a mean model of a pileup of weakly deformed layers the amplitude of inplane lattice spacing oscillations is found to depend linearly on the misfit and roughly linearly on the nucleation density we show that the nucleation density may be approximated from the fullwidth at half maximum of the diffracted rods at half coverages the predicted dependence of the inplane lattice spacing oscillations amplitude with the nucleation density is thus experimentally verified on vfe001 mnfe001 nife001 cocu001 and vv001
|
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|
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|
706.421
|
Automorphic Forms and Reeb-Like Foliations on Three-Manifolds
|
In this paper, we consider different ways of generating dynamical systems on
3-manifolds. We first derive explicit differential equations for dynamical
systems defined on generic hyperbolic 3-manifolds by using automorphic function
theory to uniformize the upper half-space model. It is achieved via the
modification of the standard Poincare theta series to generate systems
invariant within each individual fundamental region such that the solution
trajectories match up on the appropriate sides after the identifications which
generate a hyperbolic 3-manifold. Then we consider the gluing pattern in the
conformal ball model. At the end we shall study the construction of dynamical
systems by using the Reeb foliation.
|
math.DS
|
in this paper we consider different ways of generating dynamical systems on 3manifolds we first derive explicit differential equations for dynamical systems defined on generic hyperbolic 3manifolds by using automorphic function theory to uniformize the upper halfspace model it is achieved via the modification of the standard poincare theta series to generate systems invariant within each individual fundamental region such that the solution trajectories match up on the appropriate sides after the identifications which generate a hyperbolic 3manifold then we consider the gluing pattern in the conformal ball model at the end we shall study the construction of dynamical systems by using the reeb foliation
|
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|
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|
706.4211
|
The formation of a detached shell around the carbon star Y CVn
|
Y CVn is a carbon star surrounded by a detached dust shell that has been
imaged by the Infrared Space Observatory at 90 microns. With the Nancay Radio
Telescope we have studied the gaseous counterpart in the 21-cm HI emission
line. New data have been acquired and allow to improve the signal to noise
ratio on this line. The high spectral resolution line profiles obtained at the
position of the star and at several offset positions set strong constraints on
the gas temperature and kinematics within the detached shell; the bulk of the
material should be at ~ 100-200 K and in expansion at ~ 1-2 km/s. In addition,
the line profile at the central position shows a quasi-rectangular pedestal
that traces an 8 km/s outflow of ~ 1.0 10^-7 Msol/yr, stable for about 2 10^4
years, which corresponds to the central outflow already studied with CO
rotational lines. We present a model in which the detached shell results from
the slowing-down of the stellar wind by surrounding matter. The inner radius
corresponds to the location where the stellar outflow is abruptly slowed down
from ~ 8 km/s to 2 km/s (termination shock). The outer radius corresponds to
the location where external matter is compressed by the expanding shell (bow
shock). In this model the mass loss rate of Y CVn has been set constant, at the
same level of 1.0 10^-7 Msol/yr, for ~ 4.5 10^5 years. The gas temperature
varies from ~ 1800 K at the inner limit to 165 K at the interface between
circumstellar matter and external matter. Our modelling shows that the presence
of a detached shell around an AGB star may not mean that a drastic reduction of
the mass loss rate has occurred in the past. The inner radius of such a shell
might only be the effect of a termination shock rather than of an interruption
of the mass loss process.
|
astro-ph
|
y cvn is a carbon star surrounded by a detached dust shell that has been imaged by the infrared space observatory at 90 microns with the nancay radio telescope we have studied the gaseous counterpart in the 21cm hi emission line new data have been acquired and allow to improve the signal to noise ratio on this line the high spectral resolution line profiles obtained at the position of the star and at several offset positions set strong constraints on the gas temperature and kinematics within the detached shell the bulk of the material should be at 100200 k and in expansion at 12 kms in addition the line profile at the central position shows a quasirectangular pedestal that traces an 8 kms outflow of 10 107 msolyr stable for about 2 104 years which corresponds to the central outflow already studied with co rotational lines we present a model in which the detached shell results from the slowingdown of the stellar wind by surrounding matter the inner radius corresponds to the location where the stellar outflow is abruptly slowed down from 8 kms to 2 kms termination shock the outer radius corresponds to the location where external matter is compressed by the expanding shell bow shock in this model the mass loss rate of y cvn has been set constant at the same level of 10 107 msolyr for 45 105 years the gas temperature varies from 1800 k at the inner limit to 165 k at the interface between circumstellar matter and external matter our modelling shows that the presence of a detached shell around an agb star may not mean that a drastic reduction of the mass loss rate has occurred in the past the inner radius of such a shell might only be the effect of a termination shock rather than of an interruption of the mass loss process
|
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|
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|
706.4212
|
Shear Viscosity to Entropy within a Parton Cascade
|
The shear viscosity is calculated by means of the perturbative kinetic
partonic cascade BAMPS with CGC initial conditons for various saturation
momentum scale Q_s. eta/s ~ 0.15 stays approximately constant when going from
RHIC to LHC.
|
hep-ph
|
the shear viscosity is calculated by means of the perturbative kinetic partonic cascade bamps with cgc initial conditons for various saturation momentum scale q_s etas 015 stays approximately constant when going from rhic to lhc
|
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|
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|
706.4213
|
Magneto-optic far-infrared study of Sr$_{14}$Cu$_{24}$O$_{41}$: triplet
excitations in chains
|
Using far-infrared spectroscopy we have studied the magnetic field and
temperature dependence of the spin gap modes in the chains of
Sr$_{14}$Cu$_{24}$O$_{41}$. Two triplet modes T$_1$ and T$_2$ were found in the
center of the Brillouin zone at $\Delta_1=9.65$ meV and $\Delta_2=10.86$ meV in
zero magnetic field. The T$_1$ mode was excited when the electric field vector
${\bf E}$ of the light was polarized along the b axis (perpendicular to the
planes of chains and ladders) and T$_2$ was excited for ${\bf E}\parallel {\bf
a}$ (perpendicular to the chains and along the rungs). Up to the maximum
magnetic field of 18 T, applied along the chains, the electron $g$ factors of
these two modes were similar, $g_{1c}=2.049$ and $g_{2c}=2.044$. Full linewidth
at half maximum for both modes was 1 cm$^{-1}$ (0.12 meV) at 4K and increased
with $T$. The temperature dependence of mode energies and line intensities was
in agreement with the inelastic neutron scattering results from two groups
[Matsuda {\it et al.}, Phys. Rev. B {\bf 59}, 1060 (1999) and Regnault {\it et
al.}, Phys. Rev. B {\bf 59}, 1055 (1999)]. The T$_1$ mode has not been observed
by inelastic neutron scattering in the points of the $k$-space equivalent to
the center of the Brillouin zone. Our study indicates that the zone structure
model of magnetic excitations of Sr$_{14}$Cu$_{24}$O$_{41}$ must be modified to
include a triplet mode at 9.65 meV in the center of the magnetic Brillouin
zone.
|
cond-mat.other
|
using farinfrared spectroscopy we have studied the magnetic field and temperature dependence of the spin gap modes in the chains of sr_14cu_24o_41 two triplet modes t_1 and t_2 were found in the center of the brillouin zone at delta_1965 mev and delta_21086 mev in zero magnetic field the t_1 mode was excited when the electric field vector bf e of the light was polarized along the b axis perpendicular to the planes of chains and ladders and t_2 was excited for bf eparallel bf a perpendicular to the chains and along the rungs up to the maximum magnetic field of 18 t applied along the chains the electron g factors of these two modes were similar g_1c2049 and g_2c2044 full linewidth at half maximum for both modes was 1 cm1 012 mev at 4k and increased with t the temperature dependence of mode energies and line intensities was in agreement with the inelastic neutron scattering results from two groups matsuda it et al phys rev b bf 59 1060 1999 and regnault it et al phys rev b bf 59 1055 1999 the t_1 mode has not been observed by inelastic neutron scattering in the points of the kspace equivalent to the center of the brillouin zone our study indicates that the zone structure model of magnetic excitations of sr_14cu_24o_41 must be modified to include a triplet mode at 965 mev in the center of the magnetic brillouin zone
|
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