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706.1414
|
Absence of long-range Ni/Mn ordering in ferromagnetic La2NiMnO6 thin
films
|
Epitaxial La2NiMnO6 thin films have been grown on (001)-oriented SrTiO3 using
the PLD technique. The thin films are semiconducting and FM with a TC close to
270K, a coercive field of 920Oe, and a saturation magnetization of 5muB per
f.u. TEM, conducted at RT, reveals a majority phase having "I-centered"
structure with a=c=1.4asub and b=2asub along with a minority phase-domains
having "P-type" structure (asub being the lattice parameter of the perovskite
structure). A discusion on the presence of Ni/Mn long-range ordering, in light
of recent literature on double perovskites La2NiMnO6 is presented.
|
cond-mat.mtrl-sci cond-mat.str-el
|
epitaxial la2nimno6 thin films have been grown on 001oriented srtio3 using the pld technique the thin films are semiconducting and fm with a tc close to 270k a coercive field of 920oe and a saturation magnetization of 5mub per fu tem conducted at rt reveals a majority phase having icentered structure with ac14asub and b2asub along with a minority phasedomains having ptype structure asub being the lattice parameter of the perovskite structure a discusion on the presence of nimn longrange ordering in light of recent literature on double perovskites la2nimno6 is presented
|
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|
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|
706.1415
|
Approximate joint measurements of qubit observables
|
Joint measurements of qubit observables have recently been studied in
conjunction with quantum information processing tasks such as cloning.
Considerations of such joint measurements have until now been restricted to a
certain class of observables that can be characterized by a form of covariance.
Here we investigate conditions for the joint measurability of arbitrary pairs
of qubit observables. For pairs of noncommuting sharp qubit observables, a
notion of approximate joint measurement is introduced. Optimal approximate
joint measurements are shown to lie in the class of covariant joint
measurements. The marginal observables found to be optimal approximators are
generally not among the coarse-grainings of the observables to be approximated.
This yields scope for the improvement of existing joint measurement schemes.
Both the quality of the approximations and the intrinsic unsharpness of the
approximators are shown to be subject to Heisenberg-type uncertainty relations.
|
quant-ph
|
joint measurements of qubit observables have recently been studied in conjunction with quantum information processing tasks such as cloning considerations of such joint measurements have until now been restricted to a certain class of observables that can be characterized by a form of covariance here we investigate conditions for the joint measurability of arbitrary pairs of qubit observables for pairs of noncommuting sharp qubit observables a notion of approximate joint measurement is introduced optimal approximate joint measurements are shown to lie in the class of covariant joint measurements the marginal observables found to be optimal approximators are generally not among the coarsegrainings of the observables to be approximated this yields scope for the improvement of existing joint measurement schemes both the quality of the approximations and the intrinsic unsharpness of the approximators are shown to be subject to heisenbergtype uncertainty relations
|
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|
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|
706.1416
|
Anatomy of Malicious Singularities
|
As well known, the b-boundaries of the closed Friedman world model and of
Schwarzschild solution consist of a single point. We study this phenomenon in a
broader context of differential and structured spaces. We show that it is an
equivalence relation $\rho $, defined on the Cauchy completed total space
$\bar{E}$ of the frame bundle over a given space-time, that is responsible for
this pathology. A singularity is called malicious if the equivalence class
$[p_0]$ related to the singularity remains in close contact with all other
equivalence classes, i.e., if $p_0 \in \mathrm{cl}[p]$ for every $p \in E$. We
formulate conditions for which such a situation occurs. The differential
structure of any space-time with malicious singularities consists only of
constant functions which means that, from the topological point of view,
everything collapses to a single point. It was noncommutative geometry that was
especially devised to deal with such situations. A noncommutative algebra on
$\bar{E}$, which turns out to be a von Neumann algebra of random operators,
allows us to study probabilistic properties (in a generalized sense) of
malicious singularities. Our main result is that, in the noncommutative regime,
even the strongest singularities are probabilistically irrelevant.
|
gr-qc
|
as well known the bboundaries of the closed friedman world model and of schwarzschild solution consist of a single point we study this phenomenon in a broader context of differential and structured spaces we show that it is an equivalence relation rho defined on the cauchy completed total space bare of the frame bundle over a given spacetime that is responsible for this pathology a singularity is called malicious if the equivalence class p_0 related to the singularity remains in close contact with all other equivalence classes ie if p_0 in mathrmclp for every p in e we formulate conditions for which such a situation occurs the differential structure of any spacetime with malicious singularities consists only of constant functions which means that from the topological point of view everything collapses to a single point it was noncommutative geometry that was especially devised to deal with such situations a noncommutative algebra on bare which turns out to be a von neumann algebra of random operators allows us to study probabilistic properties in a generalized sense of malicious singularities our main result is that in the noncommutative regime even the strongest singularities are probabilistically irrelevant
|
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|
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|
706.1417
|
Spatially resolved THz response as a characterization concept for
nanowire FETs
|
In this paper, we propose a THz probe technique to obtain spatially resolved
information about the electronic spectra inside nanowire-based FETs. This
spectroscopic approach employs a segmented multi-gate design for the local
detection of quantum transitions between few-electron states within the FET
channel. We simulate the intra-band THz response of such devices by means of a
many-body quantum approach, taking quantization and Coulomb interaction effects
into account. The obtained simulation results demonstrate the capabilities of
the proposed technique which go beyond the limitations of standard
characterization methods.
|
cond-mat.other
|
in this paper we propose a thz probe technique to obtain spatially resolved information about the electronic spectra inside nanowirebased fets this spectroscopic approach employs a segmented multigate design for the local detection of quantum transitions between fewelectron states within the fet channel we simulate the intraband thz response of such devices by means of a manybody quantum approach taking quantization and coulomb interaction effects into account the obtained simulation results demonstrate the capabilities of the proposed technique which go beyond the limitations of standard characterization methods
|
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|
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|
706.1418
|
Generalized Banach contraction in probabilistic metric/normed spaces
|
In this paper, we present the generalization of B-contraction and
C-contraction due to Sehgal and Hicks respectively. We also study some
properties of C-contraction in probabilistic metric space.
|
math.FA
|
in this paper we present the generalization of bcontraction and ccontraction due to sehgal and hicks respectively we also study some properties of ccontraction in probabilistic metric space
|
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|
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|
706.1419
|
Regularization by free additive convolution, square and rectangular
cases
|
The free convolution is the binary operation on the set of probability
measures on the real line which allows to deduce, from the individual spectral
distributions, the spectral distribution of a sum of independent unitarily
invariant square random matrices or of a sum of free operators in a non
commutative probability space. In the same way, the rectangular free
convolution allows to deduce, from the individual singular distributions, the
singular distribution of a sum of independent unitarily invariant rectangular
random matrices. In this paper, we consider the regularization properties of
these free convolutions on the whole real line. More specifically, we try to
find continuous semigroups $(\mu_t)$ of probability measures such that $\mu_0$
is the Dirac mass at zero and such that for all positive $t$ and all
probability measure $\nu$, the free convolution of $\mu_t$ with $\nu$ (or, in
the rectangular context, the rectangular free convolution of $\mu_t$ with
$\nu$) is absolutely continuous with respect to the Lebesgue measure, with a
positive analytic density on the whole real line. In the square case, we prove
that in semigroups satisfying this property, no measure can have a finite
second moment, and we give a sufficient condition on semigroups to satisfy this
property, with examples. In the rectangular case, we prove that in most cases,
for $\mu$ in a continuous rectangular-convolution-semigroup, the rectangular
convolution of $\mu$ with $\nu$ either has an atom at the origin or doesn't put
any mass in a neighborhood of the origin, thus the expected property does not
hold. However, we give sufficient conditions for analyticity of the density of
the rectangular convolution of $\mu$ with $\nu$ except on a negligible set of
points, as well as existence and continuity of a density everywhere.
|
math.PR
|
the free convolution is the binary operation on the set of probability measures on the real line which allows to deduce from the individual spectral distributions the spectral distribution of a sum of independent unitarily invariant square random matrices or of a sum of free operators in a non commutative probability space in the same way the rectangular free convolution allows to deduce from the individual singular distributions the singular distribution of a sum of independent unitarily invariant rectangular random matrices in this paper we consider the regularization properties of these free convolutions on the whole real line more specifically we try to find continuous semigroups mu_t of probability measures such that mu_0 is the dirac mass at zero and such that for all positive t and all probability measure nu the free convolution of mu_t with nu or in the rectangular context the rectangular free convolution of mu_t with nu is absolutely continuous with respect to the lebesgue measure with a positive analytic density on the whole real line in the square case we prove that in semigroups satisfying this property no measure can have a finite second moment and we give a sufficient condition on semigroups to satisfy this property with examples in the rectangular case we prove that in most cases for mu in a continuous rectangularconvolutionsemigroup the rectangular convolution of mu with nu either has an atom at the origin or doesnt put any mass in a neighborhood of the origin thus the expected property does not hold however we give sufficient conditions for analyticity of the density of the rectangular convolution of mu with nu except on a negligible set of points as well as existence and continuity of a density everywhere
|
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|
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|
706.142
|
Asymptotic form of molecular continuum wave function for system of
non-overlapping atomic potentials
|
The asymptotic behavior of the molecular continuum wave function has been
analyzed within a model of non-overlapping atomic potentials. It is been shown
that the representation of the wave function far from a molecule as a plane
wave and single spherical wave emitted by the molecular center cannot be
corrected. Because of the multicenter character of the problem, the asymptotic
form of the wave function must contain N spherical waves with centers at the
nuclei of the N atoms that form the molecule. A method of partial waves for a
spherically non-symmetrical target is considered for the simplest multicenter
target formed by two non-overlapping potentials. The results are compared with
those obtained within the single spherical wave approximation. It has been
shown that the use of this approximation results in significant mistakes in
differential and total cross sections of electron elastic scattering by a
target.
|
physics.atom-ph physics.atm-clus
|
the asymptotic behavior of the molecular continuum wave function has been analyzed within a model of nonoverlapping atomic potentials it is been shown that the representation of the wave function far from a molecule as a plane wave and single spherical wave emitted by the molecular center cannot be corrected because of the multicenter character of the problem the asymptotic form of the wave function must contain n spherical waves with centers at the nuclei of the n atoms that form the molecule a method of partial waves for a spherically nonsymmetrical target is considered for the simplest multicenter target formed by two nonoverlapping potentials the results are compared with those obtained within the single spherical wave approximation it has been shown that the use of this approximation results in significant mistakes in differential and total cross sections of electron elastic scattering by a target
|
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|
[-0.10655887181430494, 0.08770888677019983, -0.0799449381597136, 0.061970222820902615, 0.006335961536746727, -0.06597120927212989, -0.0034872716075855575, 0.3621905087812306, -0.20785931811017327, -0.25503420075146505, 0.04317688176963376, -0.30128316708827674, -0.13426962131570566, 0.15830156990256772, 0.071865351378283, 0.09692601908049354, 0.04090720282114838, 0.06077385692672217, -0.06212613330946674, -0.18123435007076558, 0.32304406225400634, 0.035149510311957906, 0.2631110283290993, 0.034809455466903234, 0.08994211163451538, 0.032008284269130396, 0.03218454247889147, 0.027473966418829276, -0.07367968341499712, 0.10843234420482911, 0.2476324901648172, 0.09206332145290679, 0.24219527654349804, -0.4726826901458306, -0.2516876617701699, 0.0667386772621372, 0.1752611516037165, 0.16511952508343, -0.05689123811256874, -0.28702186608100183, 0.044839996299132295, -0.16687735974507995, -0.19241269218914006, -0.0021396443273310794, 0.0713889978009544, 0.09975542348637309, -0.24120902279328096, 0.0630773031057101, 0.028717572076807488, -0.013457750443892223, -0.08308831699613532, -0.13470598997879926, -0.05140066116072289, 0.08521386792194353, 0.04288543953021274, 0.06647452688297538, 0.12830926435808204, -0.11689291109987981, -0.052804697257122155, 0.4092456736691194, -0.05629503038354626, -0.25493308372974194, 0.14518239802030258, -0.17136308367440656, -0.07087096750532111, 0.2380003135664108, 0.15559647992422346, 0.15225499255378563, -0.16390451464215167, 0.09500626093797283, -0.0809547078019496, 0.16482450409269292, 0.14609139350128092, 0.0017044983057892078, 0.21134528958506577, 0.13886849306625862, 0.005575166434713014, 0.14550220644442774, -0.1269445540574826, -0.08839387619351229, -0.28657471803527274, -0.11481473066091333, -0.20914094122716748, 0.035349991265345486, -0.03895131432154688, -0.1666971453643334, 0.3559637058124405, 0.024717499186246567, 0.1851363529288529, -0.0008623731730837528, 0.2748585299984233, 0.14090639109681807, 0.08682266490100181, 0.026524846247486668, 0.2882172463602093, 0.1366733021823664, 0.04111171161759109, -0.20583232128928888, 0.051885005116960266, 0.04637957518212242]
|
706.1421
|
On electromagnetic contributions in WIMP quests
|
The effect pointed out by A. B. Migdal in the 40's (hereafter named Migdal
effect) has so far been usually neglected in the direct searches for WIMP Dark
Matter candidates. This effect consists in the ionization and the excitation of
bound atomic electrons induced by the recoiling atomic nucleus. In the present
paper the related theoretical arguments are developed and some consequences of
the proper accounting for this effect are discussed by some examples of
practical interest.
|
astro-ph
|
the effect pointed out by a b migdal in the 40s hereafter named migdal effect has so far been usually neglected in the direct searches for wimp dark matter candidates this effect consists in the ionization and the excitation of bound atomic electrons induced by the recoiling atomic nucleus in the present paper the related theoretical arguments are developed and some consequences of the proper accounting for this effect are discussed by some examples of practical interest
|
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|
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|
706.1422
|
Inverse Conductivity Problem for a Parabolic Equation using a Carlemen
Estimate with one Observation
|
For the heat equation in a bounded domain we give a stability result for a
smooth diffusion coefficient. The key ingredients are a global Carleman-type
estimate, a Poincar\'e-type estimate and an energy estimate with a single
observation acting on a part of the boundary.
|
math.AP
|
for the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient the key ingredients are a global carlemantype estimate a poincaretype estimate and an energy estimate with a single observation acting on a part of the boundary
|
[['for', 'the', 'heat', 'equation', 'in', 'a', 'bounded', 'domain', 'we', 'give', 'a', 'stability', 'result', 'for', 'a', 'smooth', 'diffusion', 'coefficient', 'the', 'key', 'ingredients', 'are', 'a', 'global', 'carlemantype', 'estimate', 'a', 'poincaretype', 'estimate', 'and', 'an', 'energy', 'estimate', 'with', 'a', 'single', 'observation', 'acting', 'on', 'a', 'part', 'of', 'the', 'boundary']]
|
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|
706.1423
|
Spiral phases and two-particle bound states from a systematic low-energy
effective theory for magnons, electrons, and holes in an antiferromagnet
|
We have constructed a systematic low-energy effective theory for hole- and
electron-doped antiferromagnets, where holes reside in momentum space pockets
centered at $(\pm\frac{\pi}{2a},\pm\frac{\pi}{2a})$ and where electrons live in
pockets centered at $(\frac{\pi}{a},0)$ or $(0,\frac{\pi}{a})$. The effective
theory is used to investigate the magnon-mediated binding between two holes or
two electrons in an otherwise undoped system. We derive the one-magnon exchange
potential from the effective theory and then solve the corresponding
two-quasiparticle Schr\"odinger equation. As a result, we find bound state wave
functions that resemble $d_{x^2-y^2}$-like or $d_{xy}$-like symmetry. We also
study possible ground states of lightly doped antiferromagnets.
|
cond-mat.str-el
|
we have constructed a systematic lowenergy effective theory for hole and electrondoped antiferromagnets where holes reside in momentum space pockets centered at pmfracpi2apmfracpi2a and where electrons live in pockets centered at fracpia0 or 0fracpia the effective theory is used to investigate the magnonmediated binding between two holes or two electrons in an otherwise undoped system we derive the onemagnon exchange potential from the effective theory and then solve the corresponding twoquasiparticle schrodinger equation as a result we find bound state wave functions that resemble d_x2y2like or d_xylike symmetry we also study possible ground states of lightly doped antiferromagnets
|
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|
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|
706.1424
|
Theory of antibound states in partially filled narrow band systems
|
We present a theory of the dynamical two-particle response function in the
Hubbard model based on the time-dependent Gutzwiller approximation. The results
are in excellent agreement with exact diagonalization on small clusters and
give reliable results even for high densities, where the usual ladder
approximation breaks down. We apply the theory to the computation of antibound
states relevant for Auger spectroscopy and cold atom physics. A special bonus
of the theory is its computational simplicity.
|
cond-mat.str-el
|
we present a theory of the dynamical twoparticle response function in the hubbard model based on the timedependent gutzwiller approximation the results are in excellent agreement with exact diagonalization on small clusters and give reliable results even for high densities where the usual ladder approximation breaks down we apply the theory to the computation of antibound states relevant for auger spectroscopy and cold atom physics a special bonus of the theory is its computational simplicity
|
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|
[-0.06907384570067128, 0.11053054301689068, -0.09033271285394827, 0.13379158860227713, -0.020820808438584207, -0.11545080134179443, 0.08236133544861028, 0.34466697884102665, -0.19514123044908047, -0.28264436416948835, 0.03769192956077556, -0.3155466289476802, -0.11963123143369254, 0.15188644197769463, 0.05660814302080932, 0.06282732035887117, 0.053233612601955735, 0.012007298196355503, -0.13975591847362617, -0.22302573723097643, 0.24003023780261476, 0.07540697282801072, 0.2606508597017576, 0.09872041920820872, 0.06680317502468824, 0.08669536648939054, 0.044714043252170085, -0.0005391803383827209, -0.15590722723553577, 0.11516876700644692, 0.24470211955408255, 0.03248962384959062, 0.2452783994935453, -0.48363243433336417, -0.17659146754071117, -0.0077837502987434465, 0.13450669385803243, 0.1913207624697437, -0.07536786333657801, -0.27573136319716773, 0.0060163094848394395, -0.2032293701916933, -0.19053802467882633, -0.14782607125739256, -0.02321372429529826, 0.013857122361660004, -0.2718599585692088, 0.14035286699732144, -0.03625824165414088, 0.034797008434931435, -0.08908053379040211, -0.12755069188773632, 0.03271834625552098, 0.09653253356615703, -0.016185625411259633, 0.03273373878871401, 0.09141943061103423, -0.13990892690916856, -0.07664278763967255, 0.38855435479432343, -0.0845275718656679, -0.17290792609254518, 0.20801034986662367, -0.1667938956276824, -0.16511504160240292, 0.10881070793451121, 0.08717363020094733, 0.09949799718956152, -0.09127369726076723, 0.17595214889850466, -0.06664325687413414, 0.14382219734291235, -0.0005853176054855187, 0.07436847598515063, 0.14310502793639898, 0.1640237391119202, 0.0632483634725213, 0.13261492215717832, -0.07747366743472715, -0.16558064421017965, -0.31124211486428977, -0.09176144688545416, -0.21372564862171808, 0.041074812673032285, -0.10443023152610598, -0.19298479412992794, 0.4041916849960883, 0.14897986356168985, 0.1722718359855935, 0.06744436073427398, 0.3061671483765046, 0.18841705155248442, 0.005928377353896697, 0.03768757160753012, 0.23829351283609868, 0.1939911013484622, 0.03104924118767182, -0.273868200511982, -0.009735591746866702, 0.09133140256007512]
|
706.1425
|
Combined Effect of Bond- and Potential-Disorder in Half-Doped Manganites
|
We analyze the effects of both bond- and potential-disorder in the vicinity
of a first-order metal insulator transition in a two-band model for manganites
using a real-space Monte Carlo method. Our results reveal a novel
charge-ordered state coexisting with spin-glass behavior. We provide the basis
for understanding the phase diagrams of half-doped manganites, and contrast the
effects of bond- and potential-disorder and the combination of both.
|
cond-mat.str-el cond-mat.dis-nn
|
we analyze the effects of both bond and potentialdisorder in the vicinity of a firstorder metal insulator transition in a twoband model for manganites using a realspace monte carlo method our results reveal a novel chargeordered state coexisting with spinglass behavior we provide the basis for understanding the phase diagrams of halfdoped manganites and contrast the effects of bond and potentialdisorder and the combination of both
|
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|
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|
706.1426
|
Is Sr2RuO4 a triplet superconductor?
|
The field dependence of the specific heat \gamma(H) at lower temperatures in
Sr2RuO4 is analyzed by solving microscopic Eilenberger equation numerically. We
find that systematic \gamma(H) behaviors from a concaved \sqrt H to a convex
H^{\alpha} (\alpha>1) under H orientation change are understood by taking
account of the Pauli paramagnetic effect. The magnetizations are shown to be
consistent with it. This implies either a singlet pairing or a triplet one with
d-vector locked in the basal plane, which allows us to explain other mysteries
of this compound in a consistent way.
|
cond-mat.supr-con
|
the field dependence of the specific heat gammah at lower temperatures in sr2ruo4 is analyzed by solving microscopic eilenberger equation numerically we find that systematic gammah behaviors from a concaved sqrt h to a convex halpha alpha1 under h orientation change are understood by taking account of the pauli paramagnetic effect the magnetizations are shown to be consistent with it this implies either a singlet pairing or a triplet one with dvector locked in the basal plane which allows us to explain other mysteries of this compound in a consistent way
|
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|
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|
706.1427
|
Estimating the annihilation decay B_s -> rho gamma with factorization
|
The branching ratio for the rare two-body B_s -> rho gamma decay is
calculated using the factorization assumption. This transition is dominated by
the annihilation diagrams and, in principle, prone to receiving substantial
contributions from new physics. We estimate Br(B_s -> rho gamma) = 1.6 x 10^-9
within the Standard Model and investigate the sensitivity of this decay mode to
the effects of two new physics scenarios: vector quark model and supersymmetry.
Our results indicate that the shift in branching ratio is at most around 10%
with the addition of vector quarks and is negligibly small in the constrained
minimal supersymmetric extension of the Standard Model.
|
hep-ph
|
the branching ratio for the rare twobody b_s rho gamma decay is calculated using the factorization assumption this transition is dominated by the annihilation diagrams and in principle prone to receiving substantial contributions from new physics we estimate brb_s rho gamma 16 x 109 within the standard model and investigate the sensitivity of this decay mode to the effects of two new physics scenarios vector quark model and supersymmetry our results indicate that the shift in branching ratio is at most around 10 with the addition of vector quarks and is negligibly small in the constrained minimal supersymmetric extension of the standard model
|
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|
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|
706.1428
|
SILEM : a new gaseous detector with integrated x-y readout plane
|
This works reports on gaseous detectors developments made in the frame of the
EXO double-beta decay experiment. LEM (Large Electron Multiplication) are
electron amplification grids based on GEM. They were developed in Neuchatel and
showed remarquable resistance to sparks. The new SILEM grid combines the
properties of the standard LEM with a micropatterned x-y readout plane on one
of the grid side. It allows thus the amplification of the primary electrons and
their position determination in the x-y plane.
|
physics.ins-det
|
this works reports on gaseous detectors developments made in the frame of the exo doublebeta decay experiment lem large electron multiplication are electron amplification grids based on gem they were developed in neuchatel and showed remarquable resistance to sparks the new silem grid combines the properties of the standard lem with a micropatterned xy readout plane on one of the grid side it allows thus the amplification of the primary electrons and their position determination in the xy plane
|
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|
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|
706.1429
|
Q-Ball Condensation
|
Q-balls arise in particle theories with U(1) global symmetry. The coupling of
the corresponding scalar field to fermions leads to Q-ball evaporation. In this
paper we consider the oposite problem, the case where a Q-ball absorbs
particles to grow. In particular we shall use the exact quantum mechanical
description of fermions interacting with a Q-ball to solve the problem. Results
show that Q-ball condensation can be another mechanism for Q-ball creation.
|
hep-th hep-ph
|
qballs arise in particle theories with u1 global symmetry the coupling of the corresponding scalar field to fermions leads to qball evaporation in this paper we consider the oposite problem the case where a qball absorbs particles to grow in particular we shall use the exact quantum mechanical description of fermions interacting with a qball to solve the problem results show that qball condensation can be another mechanism for qball creation
|
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|
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|
706.143
|
Arc-like distribution of high CO(J=3-2)/CO(J=1-0) ratio gas surrounding
the central star cluster of the supergiant HII region NGC 604
|
We report the discovery of a high CO(J=3-2)/CO(J=1-0) ratio gas with an
arc-like distribution (``high-ratio gas arc'') surrounding the central star
cluster of the supergiant HII region NGC 604 in the nearby spiral galaxy M 33,
based on multi-J CO observations of a 5' $\times$ 5' region of NGC 604
conducted using the ASTE 10-m and NRO 45-m telescopes. The discovered
``high-ratio gas arc'' extends to the south-east to north-west direction with a
size of $\sim$ 200 pc. The western part of the high-ratio gas arc closely
coincides well with the shells of the HII regions traced by H$\alpha$ and radio
continuum peaks. The CO(J=3-2)/CO(J=1-0) ratio, R_{3-2/1-0}, ranges between 0.3
and 1.2 in the observed region, and the R_{3-2/1-0} values of the high-ratio
gas arc are around or higher than unity, indicating very warm (T_kin > 60 K)
and dense (n(H_2) > 10^{3-4} cm^{-3}) conditions of the high-ratio gas arc. We
suggest that the dense gas formation and second-generation star formation occur
in the surrounding gas compressed by the stellar wind and/or supernova of the
first-generation stars of NGC 604, i.e., the central star cluster of NGC 604.
|
astro-ph
|
we report the discovery of a high coj32coj10 ratio gas with an arclike distribution highratio gas arc surrounding the central star cluster of the supergiant hii region ngc 604 in the nearby spiral galaxy m 33 based on multij co observations of a 5 times 5 region of ngc 604 conducted using the aste 10m and nro 45m telescopes the discovered highratio gas arc extends to the southeast to northwest direction with a size of sim 200 pc the western part of the highratio gas arc closely coincides well with the shells of the hii regions traced by halpha and radio continuum peaks the coj32coj10 ratio r_3210 ranges between 03 and 12 in the observed region and the r_3210 values of the highratio gas arc are around or higher than unity indicating very warm t_kin 60 k and dense nh_2 1034 cm3 conditions of the highratio gas arc we suggest that the dense gas formation and secondgeneration star formation occur in the surrounding gas compressed by the stellar wind andor supernova of the firstgeneration stars of ngc 604 ie the central star cluster of ngc 604
|
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|
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|
706.1431
|
Observation of squeezed light with 10dB quantum noise reduction
|
Squeezing of light's quantum noise requires temporal rearranging of photons.
This again corresponds to creation of quantum correlations between individual
photons. Squeezed light is a non-classical manifestation of light with great
potential in high-precision quantum measurements, for example in the detection
of gravitational waves. Equally promising applications have been proposed in
quantum communication. However, after 20 years of intensive research doubts
arose whether strong squeezing can ever be realized as required for eminent
applications. Here we show experimentally that strong squeezing of light's
quantum noise is possible. We reached a benchmark squeezing factor of 10 in
power (10dB). Thorough analysis reveals that even higher squeezing factors will
be feasible in our setup.
|
quant-ph
|
squeezing of lights quantum noise requires temporal rearranging of photons this again corresponds to creation of quantum correlations between individual photons squeezed light is a nonclassical manifestation of light with great potential in highprecision quantum measurements for example in the detection of gravitational waves equally promising applications have been proposed in quantum communication however after 20 years of intensive research doubts arose whether strong squeezing can ever be realized as required for eminent applications here we show experimentally that strong squeezing of lights quantum noise is possible we reached a benchmark squeezing factor of 10 in power 10db thorough analysis reveals that even higher squeezing factors will be feasible in our setup
|
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|
[-0.1433914125040506, 0.215215269480333, -0.0849532624758597, 0.04659730502680759, -0.032579455304325426, -0.17320289422475202, 0.06578153035869556, 0.4012539785222283, -0.20038424932447793, -0.3144076825036401, 0.050982381388686396, -0.2751093964657879, -0.13881885620711337, 0.30262822130628464, -0.06848949043030318, 0.12717280812544882, 0.09563203661153759, -0.007232062612144675, -0.03602010353902837, -0.2643799670165338, 0.2407525606852557, 0.0717939477129091, 0.3111173690621009, 0.10776380750550223, 0.10498315290065616, -0.0009037369038976197, 0.0024797241016390865, -0.017503224953543395, -0.032210587781524476, 0.08126080715114117, 0.27731890393520836, 0.14414903394936118, 0.29187214535444844, -0.42546698740417405, -0.25965381413698196, 0.14785955204362317, 0.16029451774790818, 0.17074900448122726, -0.05563546684736918, -0.2975168792015341, 0.007625734298406834, -0.14585881342645735, -0.1315627137498398, -0.11711137253795252, 0.05453747847682929, -0.032169051494357906, -0.2142871494465258, 0.09586868906626478, 0.058931327077776326, 0.08216002866226647, 0.059972313727485016, -0.043397288503391404, 0.039637630274228286, 0.10421357426925429, -0.0018312242682441138, -0.011448441472436701, 0.14256257728473948, -0.19084463595105003, -0.16891298873295973, 0.38422298200228916, -0.07690644838606074, -0.11026219550279036, 0.12613695203825565, -0.14652649177254976, -0.12036718483847965, 0.1222682191936266, 0.1534607925651861, 0.08762809643355597, -0.11373086178874862, 0.005667059956717172, -0.007822743982874922, 0.228108857600351, 0.12946819751024513, 0.1774158313622008, 0.2697931762377266, 0.19051032661393816, 0.05458618822116738, 0.1815090771934982, -0.09989304221900445, -0.09642724593088912, -0.28620357928074164, -0.155064527556533, -0.2063888037394333, 0.136577333457743, -0.07206068049916732, -0.055988817176382454, 0.3779695606042099, 0.2036636785092664, 0.10019845306981422, -0.07065612286636938, 0.31473460803473635, 0.12578760466255648, 0.07310328808879214, 0.009709619647245355, 0.36031496667523505, 0.14512292472604063, 0.08843532224584903, -0.21004030961609846, 0.03443614882832792, -0.09225264482873692]
|
706.1432
|
Reconstruction of 5D Cosmological Model From Recent Observations
|
We use a parameterized equation of state (EOS) of dark energy to a 5D
Ricci-flat cosmological solution and suppose the universe contains two major
components: dark matter and dark energy. Using the recent observational
datasets: the latest 182 type Ia Supernovae Gold data, the 3-year WMAP CMB
shift parameter and the SDSS baryon acoustic peak, we obtain the best fit
values of the EOS and two major components' evolution. We find that the best
fit EOS crossing -1 in the near past $z\simeq 0.07$, the present best fit value
of $w_x(0)<-1$ and for this model the universe experiences the acceleration at
about $z\simeq 0.5$.
|
astro-ph
|
we use a parameterized equation of state eos of dark energy to a 5d ricciflat cosmological solution and suppose the universe contains two major components dark matter and dark energy using the recent observational datasets the latest 182 type ia supernovae gold data the 3year wmap cmb shift parameter and the sdss baryon acoustic peak we obtain the best fit values of the eos and two major components evolution we find that the best fit eos crossing 1 in the near past zsimeq 007 the present best fit value of w_x01 and for this model the universe experiences the acceleration at about zsimeq 05
|
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|
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|
706.1433
|
IGR J00234+6141 : a new INTEGRAL source identified as an Intermediate
polar
|
Following an extensive survey of the galactic plane by the INTEGRAL
satellite, new hard X-ray sources are discovered with a significant fraction of
Cataclysmic Variables (CVs) among them. We report here the identification of
one of these hard X-ray sources, IGR J00234+6141, as an accreting magnetic
white dwarf of intermediate polar type. We analyse the high energy emission of
the INTEGRAL source using all available data and provide complementary optical
photometric and spectroscopic data obtained respectively in August and October
2006. Based on a refined INTEGRAL position, we confirm the proposed optical
identification. We clearly detect the presence of a 564 s periodic optical
modulation that we identify as the rotation of the white dwarf. The analysis of
the optical spectrum also demonstrates that the emission lines show a
modulation in radial velocity with an orbital period of Porb = (4.033 +/-
0.005) hr. The two periodicities indicate that IGR00234+6141 is a magnetic CV
of the intermediate polar type. This is one of the faintest and hardest sources
of this type detected by INTEGRAL. This confirms earlier conclusions that IPs
contribute significantly to the population of galactic X-ray sources and
represent a significant fraction of the high energy background.
|
astro-ph
|
following an extensive survey of the galactic plane by the integral satellite new hard xray sources are discovered with a significant fraction of cataclysmic variables cvs among them we report here the identification of one of these hard xray sources igr j002346141 as an accreting magnetic white dwarf of intermediate polar type we analyse the high energy emission of the integral source using all available data and provide complementary optical photometric and spectroscopic data obtained respectively in august and october 2006 based on a refined integral position we confirm the proposed optical identification we clearly detect the presence of a 564 s periodic optical modulation that we identify as the rotation of the white dwarf the analysis of the optical spectrum also demonstrates that the emission lines show a modulation in radial velocity with an orbital period of porb 4033 0005 hr the two periodicities indicate that igr002346141 is a magnetic cv of the intermediate polar type this is one of the faintest and hardest sources of this type detected by integral this confirms earlier conclusions that ips contribute significantly to the population of galactic xray sources and represent a significant fraction of the high energy background
|
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|
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|
706.1434
|
Nonlinear Dynamics of Infectious Diseases Transfer with Possible
Applications for Tubercular Infection
|
In this paper, we model a nonlinear dynamics of infectious diseases transfer.
Particularly, we study possible applications to tubercular infection in models
with different profiles (peak values) of the population density dependence on
spatial coordinates. Our approach is based on the well known method of
instantons which has been used by the authors to describe kinetics of adiabatic
chemical reactions as a function of the heat-bath temperature and other system
parameters. In our approach, we use "social temperature" T as one of the
controlling parameters. Increase of T leads to acceleration of the infectious
diseases transfer. The "blockage" effect for the infectious diseases transfer
has been demonstrated in the case when peak values (in the population density)
are equal to one and under condition that the "social temperature" is low.
Existence of such effect essentially depends from environment "activity"
(social and prophylactic). Results of our modeling qualitatively meet the
tuberculosis dynamic spread data in Penza region of Russia.
|
physics.med-ph physics.data-an
|
in this paper we model a nonlinear dynamics of infectious diseases transfer particularly we study possible applications to tubercular infection in models with different profiles peak values of the population density dependence on spatial coordinates our approach is based on the well known method of instantons which has been used by the authors to describe kinetics of adiabatic chemical reactions as a function of the heatbath temperature and other system parameters in our approach we use social temperature t as one of the controlling parameters increase of t leads to acceleration of the infectious diseases transfer the blockage effect for the infectious diseases transfer has been demonstrated in the case when peak values in the population density are equal to one and under condition that the social temperature is low existence of such effect essentially depends from environment activity social and prophylactic results of our modeling qualitatively meet the tuberculosis dynamic spread data in penza region of russia
|
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|
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|
706.1435
|
A Critical String Theory in 3+1 Dimensions
|
Redefining the vacuum state of a free twofold N=1 covariant supersymmetric
string action as the one with all the world sheet fermionic excited states
occupied, makes the theory anomaly free in D=4 with Minkowski signature. The
theory thus describes a critical string in 3+1 dimensions as opposed to earlier
N=2 supersymmetric theories describing a 2+2 dimensional target space. While in
the NS sector the spectrum basically resembles the same for the standard N=1
superstring theory with one of the $N$ species in the background, in the R
sector both the species of fermions and superconformal ghosts are required to
describe the relevant spin operators to describe the fermion spectra. A crucial
difference from D=10 case is that the fermion states are Dirac particles
instead of Majorana-Weyl. Even though the full spectrum of the theory contains
both bosons and fermions of various spin, there is no space-time supersymmetry
due to obvious lack of triality.
|
hep-th
|
redefining the vacuum state of a free twofold n1 covariant supersymmetric string action as the one with all the world sheet fermionic excited states occupied makes the theory anomaly free in d4 with minkowski signature the theory thus describes a critical string in 31 dimensions as opposed to earlier n2 supersymmetric theories describing a 22 dimensional target space while in the ns sector the spectrum basically resembles the same for the standard n1 superstring theory with one of the n species in the background in the r sector both the species of fermions and superconformal ghosts are required to describe the relevant spin operators to describe the fermion spectra a crucial difference from d10 case is that the fermion states are dirac particles instead of majoranaweyl even though the full spectrum of the theory contains both bosons and fermions of various spin there is no spacetime supersymmetry due to obvious lack of triality
|
[['redefining', 'the', 'vacuum', 'state', 'of', 'a', 'free', 'twofold', 'n1', 'covariant', 'supersymmetric', 'string', 'action', 'as', 'the', 'one', 'with', 'all', 'the', 'world', 'sheet', 'fermionic', 'excited', 'states', 'occupied', 'makes', 'the', 'theory', 'anomaly', 'free', 'in', 'd4', 'with', 'minkowski', 'signature', 'the', 'theory', 'thus', 'describes', 'a', 'critical', 'string', 'in', '31', 'dimensions', 'as', 'opposed', 'to', 'earlier', 'n2', 'supersymmetric', 'theories', 'describing', 'a', '22', 'dimensional', 'target', 'space', 'while', 'in', 'the', 'ns', 'sector', 'the', 'spectrum', 'basically', 'resembles', 'the', 'same', 'for', 'the', 'standard', 'n1', 'superstring', 'theory', 'with', 'one', 'of', 'the', 'n', 'species', 'in', 'the', 'background', 'in', 'the', 'r', 'sector', 'both', 'the', 'species', 'of', 'fermions', 'and', 'superconformal', 'ghosts', 'are', 'required', 'to', 'describe', 'the', 'relevant', 'spin', 'operators', 'to', 'describe', 'the', 'fermion', 'spectra', 'a', 'crucial', 'difference', 'from', 'd10', 'case', 'is', 'that', 'the', 'fermion', 'states', 'are', 'dirac', 'particles', 'instead', 'of', 'majoranaweyl', 'even', 'though', 'the', 'full', 'spectrum', 'of', 'the', 'theory', 'contains', 'both', 'bosons', 'and', 'fermions', 'of', 'various', 'spin', 'there', 'is', 'no', 'spacetime', 'supersymmetry', 'due', 'to', 'obvious', 'lack', 'of', 'triality']]
|
[-0.1356880759814255, 0.24761656702007623, -0.027706335389642716, 0.11860334368428714, -0.02838743471820516, -0.16700098108427197, -0.016965730487082907, 0.27131341510981904, -0.14996888129331828, -0.2826443825851444, 0.04868664659005803, -0.3203734107729461, -0.1057486474731145, 0.06608498363688685, -0.013683067652962956, 0.02375203828491709, -0.018864474043225735, 0.10847467754121407, -0.08493773054690679, -0.2441018789708371, 0.33164186968035947, -0.0060139461435694125, 0.26729133312462594, 0.017434477194340204, 0.07937403115462147, 0.026045820929925717, 0.00444272132301277, -0.04184736845899964, -0.0533741767554079, 0.1201665704922288, 0.24091975531218196, 0.06368160801574442, 0.10927156207389106, -0.4364792136718927, -0.2261541192024167, 0.08805013085362422, 0.17209070176038332, 0.1585645940127399, 0.005791316514993026, -0.2609344543447852, 0.029805583264556974, -0.15840795074187802, -0.20144237461043338, -0.04365087829962421, 0.002328997319625094, -0.16041570568945734, -0.21441133654854425, 0.10196580116795315, 0.012332794769344475, 0.04321368029428603, -0.06167208434811495, -0.11546360685191805, -0.10917979956138879, 0.09271140028935632, 0.1209988494866278, 0.04427264807490918, 0.09900906461662327, -0.21245037333236502, -0.14216395046750654, 0.4318685343890798, -0.08464707922893484, -0.21318837438308286, 0.1887474351888218, -0.17956401299673067, -0.1495365420815967, 0.12549931516420412, 0.03391339136835407, 0.13141489719205043, -0.11861801465814995, 0.2418031900492649, -0.047583667479236334, 0.1558496874264058, 0.08507626549359046, 0.070500984175429, 0.26548566201738283, 0.10263860074413661, 0.0635092230848481, 0.10634708700601157, -0.020594421646320353, -0.15021113133411002, -0.3956193665066868, -0.17610114781806865, -0.14882299248083478, 0.08118009051837612, -0.08227849639157059, -0.18473888619565496, 0.3952439146609429, 0.10833091375127349, 0.15400059009883918, 0.011059918958279822, 0.2070306788222998, 0.09148522893277307, 0.08117106247060245, 0.045615667355508586, 0.22426501645712682, 0.15494157626823174, 0.09537566300813304, -0.23501384572819897, -0.13191241108708912, 0.12541297370768792]
|
706.1436
|
Hybrid inflation followed by modular inflation
|
Inflationary models with a superheavy scale F-term hybrid inflation followed
by an intermediate scale modular inflation are considered. The restrictions on
the power spectrum P_R of curvature perturbation and the spectral index n_s
from the recent data within the power-law cosmological model with cold dark
matter and a cosmological constant can be met provided that the number of
e-foldings N_HI* suffered by the pivot scale k_*=0.002/Mpc during hybrid
inflation is suitably restricted. The additional e-foldings needed for solving
the horizon and flatness problems are generated by modular inflation with a
string axion as inflaton. For central values of P_R and n_s, the grand
unification scale comes out, in the case of standard hybrid inflation, close to
its supersymmetric value M_GUT=2.86 x 10^16 GeV, the relevant coupling constant
is relatively large (0.005-0.14), and N_HI* is between 10 and 21.7. In the
shifted [smooth] hybrid inflation case, the grand unification scale can be
identified with M_GUT for N_HI*=21 [N_HI*=18].
|
hep-ph astro-ph
|
inflationary models with a superheavy scale fterm hybrid inflation followed by an intermediate scale modular inflation are considered the restrictions on the power spectrum p_r of curvature perturbation and the spectral index n_s from the recent data within the powerlaw cosmological model with cold dark matter and a cosmological constant can be met provided that the number of efoldings n_hi suffered by the pivot scale k_0002mpc during hybrid inflation is suitably restricted the additional efoldings needed for solving the horizon and flatness problems are generated by modular inflation with a string axion as inflaton for central values of p_r and n_s the grand unification scale comes out in the case of standard hybrid inflation close to its supersymmetric value m_gut286 x 1016 gev the relevant coupling constant is relatively large 0005014 and n_hi is between 10 and 217 in the shifted smooth hybrid inflation case the grand unification scale can be identified with m_gut for n_hi21 n_hi18
|
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|
[-0.1586634183661659, 0.2472213582947791, -0.06676294487213193, 0.1246363502482768, -0.06353570705164054, -0.17648267748254334, -0.047099539730089166, 0.300380847404644, -0.23475683396956062, -0.37212113357982995, 0.1098304068048795, -0.1991415005055518, -0.015877590685157605, 0.1497796661390929, -0.03370132808743982, 0.07586091302924568, -0.0032908062936032032, 0.008950450220236592, -0.021652283413286986, -0.24275628200981741, 0.30517654730238364, 0.132277830266485, 0.18160756115399884, -0.004855165741972479, 0.06423627355461636, -0.11220221525800773, 0.03596238583460255, -0.036587563051166484, -0.15450344804631208, 0.09912037285154357, 0.19047672657731762, 0.10641314615221585, 0.245280032126793, -0.376085092258804, -0.22879255490584505, 0.17727504592781484, 0.10972999378101402, 0.047199396288716326, -0.04491449010884085, -0.2518864672363194, 0.10065369052033311, -0.19301747493111085, -0.09738995079742441, -0.04583243995880574, -0.00971771646412759, -0.06296966062383909, -0.31628660856460045, 0.1374344736264617, -0.08963248297401698, -0.002614706529462649, -0.023218152040974816, -0.11607008532840102, -0.04442271120310609, -0.041382403733829655, 0.15203214319365013, 0.04373733643929358, 0.187547997735879, -0.1693360210195476, -0.054133747033227014, 0.42558042431140647, -0.13631240511008727, -0.08443352348761621, 0.07057808804496198, -0.0990085024843175, -0.16350008995010476, 0.09970485601647228, 0.07385378342511412, 0.08550928206809985, -0.03881316515540984, 0.22720181957584215, 0.04594391419436612, 0.2174822257875824, 0.11432903850591114, 0.0010650871090250077, 0.3309462771471742, 0.14853090162425503, 0.05084381178264914, 0.05082685234225994, -0.036291526275948664, -0.12536448503850528, -0.42082420882032395, -0.04195267443044501, -0.17279231281999766, 0.06952501806351387, -0.21218600252044412, -0.13466499839434584, 0.4012124798096278, 0.09254261416693528, 0.2609387751413034, 0.10488445162347038, 0.24576524209255488, 0.12123247268503179, 0.08837293081740344, 0.0535872555155234, 0.2901518413229401, 0.0978647828561686, 0.11781463819994208, -0.19413956474616295, -0.08704984016348212, 0.04412755725168763]
|
706.1437
|
Spiking Optical Patterns and Synchronization
|
We analyze the time resolved spike statistics of a solitary and two mutually
interacting chaotic semiconductor lasers whose chaos is characterized by
apparently random, short intensity spikes. Repulsion between two successive
spikes is observed, resulting in a refractory period which is largest at laser
threshold. For time intervals between spikes greater than the refractory
period, the distribution of the intervals follows a Poisson distribution. The
spiking pattern is highly periodic over time windows corresponding to the
optical length of the external cavity, with a slow change of the spiking
pattern as time increases. When zero-lag synchronization between the two lasers
is established, the statistics of the nearly perfectly matched spikes are not
altered. The similarity of these features to those found in complex interacting
neural networks, suggests the use of laser systems as simpler physical models
for neural networks.
|
physics.optics physics.bio-ph
|
we analyze the time resolved spike statistics of a solitary and two mutually interacting chaotic semiconductor lasers whose chaos is characterized by apparently random short intensity spikes repulsion between two successive spikes is observed resulting in a refractory period which is largest at laser threshold for time intervals between spikes greater than the refractory period the distribution of the intervals follows a poisson distribution the spiking pattern is highly periodic over time windows corresponding to the optical length of the external cavity with a slow change of the spiking pattern as time increases when zerolag synchronization between the two lasers is established the statistics of the nearly perfectly matched spikes are not altered the similarity of these features to those found in complex interacting neural networks suggests the use of laser systems as simpler physical models for neural networks
|
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|
[-0.1930573756585447, 0.21233517790913395, -0.06792260877278855, 0.09569467018733618, 0.01855591811547927, -0.1735734955869153, 0.029614863421419543, 0.4408595094309865, -0.2812470912584941, -0.26964045734071046, 0.04823027894054975, -0.27792385132085506, -0.1684671341568875, 0.21042135707982113, -0.020670634634095988, 0.034535750012745135, 0.04137297999281302, 0.04453938451039491, -0.01775199747074851, -0.20327587291035507, 0.24895755627708469, 0.05703132110480353, 0.28730012094032475, -0.07106214971114085, 0.09446445833422619, -0.03929310741921445, -0.01627437412787376, -0.04722967293790187, -0.046500732123905375, 0.07761361261012314, 0.23195200757134105, 0.05651324148551166, 0.2849482859504952, -0.46611219605685567, -0.23521249949690892, 0.13513851755720785, 0.16361332632829068, 0.10335661438980522, 0.030004852551886504, -0.2715565636419028, 0.04672200030901824, -0.10346766454737177, -0.11363584019257117, 0.022734755254853113, 0.07758754952777204, 0.11688515203569433, -0.25076928264762965, 0.09974627316051679, 0.06100498593794249, 0.07851791871115298, -0.026352151911772734, -0.013641704731493546, -0.026359252243054857, 0.10955968729271419, 0.03365303032776917, -0.01391362622313255, 0.1321458262437452, -0.10491687819535891, -0.1107294721319089, 0.3105481092637177, -0.07613066101679997, -0.12646713469633095, 0.20241747515798686, -0.16142177755656323, -0.05914206296836173, 0.1885101319183495, 0.14133146356141343, 0.07482937678842129, -0.1467407037921312, -0.05030328964039, 0.0003297130490164105, 0.2416441384300911, 0.13597341092544601, 0.06651462802475841, 0.25379437143184086, 0.20754994368247634, 0.03269418870373596, 0.13046941091474012, -0.10081915751856704, -0.13750605198400592, -0.23779099241649504, -0.03534318165763167, -0.20795204668647524, 0.025009350123477717, -0.1255976687546228, -0.20669645483759666, 0.4461021413808863, 0.09382570977657766, 0.2234240546420538, 0.0879380305058142, 0.2611138407784186, 0.13681505651132828, 0.05566353693863263, 0.04462221283934635, 0.21365506738162995, 0.13534046259035337, 0.12449125055032749, -0.2121392515246763, 0.10401522962832087, 0.013552371434291168]
|
706.1438
|
3-quasi-Sasakian manifolds
|
In the present paper we carry on a systematic study of 3-quasi-Sasakian
manifolds. In particular we prove that the three Reeb vector fields generate an
involutive distribution determining a canonical totally geodesic and Riemannian
foliation. Locally, the leaves of this foliation turn out to be Lie groups:
either the orthogonal group or an abelian one. We show that 3-quasi-Sasakian
manifolds have a well-defined rank, obtaining a rank-based classification.
Furthermore, we prove a splitting theorem for these manifolds assuming the
integrability of one of the almost product structures. Finally, we show that
the vertical distribution is a minimum of the corrected energy.
|
math.DG
|
in the present paper we carry on a systematic study of 3quasisasakian manifolds in particular we prove that the three reeb vector fields generate an involutive distribution determining a canonical totally geodesic and riemannian foliation locally the leaves of this foliation turn out to be lie groups either the orthogonal group or an abelian one we show that 3quasisasakian manifolds have a welldefined rank obtaining a rankbased classification furthermore we prove a splitting theorem for these manifolds assuming the integrability of one of the almost product structures finally we show that the vertical distribution is a minimum of the corrected energy
|
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|
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|
706.1439
|
The plasmon Talbot effect
|
The plasmon analog of the self-imaging Talbot effect is described and
theoretically analyzed. Rich plasmon carpets containing hot spots are shown to
be produced by a row of periodically-spaced surface features. A row of holes
drilled in a metal film and illuminated from the back side is discussed as a
realizable implementation of this concept. Self-images of the row are produced,
separated from the original one by distances up to several hundreds of
wavelengths in the examples under consideration. The size of the image focal
spots is close to half a wavelength and the spot positions can be controlled by
changing the incidence direction of external illumination, suggesting the
possibility of using this effect (and its extension to non-periodic surface
features) for far-field patterning and for long-distance plasmon-based
interconnects in plasmonic circuits, energy transfer, and related phenomena.
|
cond-mat.other
|
the plasmon analog of the selfimaging talbot effect is described and theoretically analyzed rich plasmon carpets containing hot spots are shown to be produced by a row of periodicallyspaced surface features a row of holes drilled in a metal film and illuminated from the back side is discussed as a realizable implementation of this concept selfimages of the row are produced separated from the original one by distances up to several hundreds of wavelengths in the examples under consideration the size of the image focal spots is close to half a wavelength and the spot positions can be controlled by changing the incidence direction of external illumination suggesting the possibility of using this effect and its extension to nonperiodic surface features for farfield patterning and for longdistance plasmonbased interconnects in plasmonic circuits energy transfer and related phenomena
|
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|
[-0.12088867400940645, 0.1748501078588614, -0.04913235562665196, 0.03861433510096771, -0.03585263643831508, -0.13935805560664877, 0.03074408951215446, 0.4220792146738591, -0.3015775901149027, -0.2913988042718676, 0.09807089191385518, -0.29498610323485885, -0.13819463296985143, 0.2313951705034603, -0.0554721655053607, 0.03647631187606534, -0.0017588402286706055, -0.03761601252892219, -0.03093406282064012, -0.17099644977818518, 0.2734987935931285, 0.05189969694680151, 0.27370623718803366, 0.05723128829156528, 0.0653786830508205, -0.02548979955677436, 0.0051802541540168666, 0.02307351878570283, -0.06862608181066154, 0.12558321329518496, 0.2279754628184224, 0.020761368977700305, 0.20606356111067511, -0.44598753425046145, -0.2280817743500366, 0.0319528203784584, 0.12833329554482856, 0.1193858209230444, -0.09133602647531969, -0.29207662308951565, 0.06485478649034014, -0.08420579145861078, -0.17578673317535398, 0.03521547911034705, 0.012206695783842245, 0.027363567827491993, -0.2246991989805418, 0.010921057080850005, 0.07272977653123877, 0.06334622410769739, -0.01039466078252778, -0.08347785309888422, -0.04616447890807381, 0.09632985460270635, 0.0068642906861735836, 0.006409002004040624, 0.1774822519544293, -0.11262824903721647, -0.08105736720779746, 0.39444314844577627, -0.05984628176477546, -0.15536357040229418, 0.1514158868436318, -0.17665845668799354, 0.03098887578680125, 0.19235815807683943, 0.16542561011909343, 0.11361277904721004, -0.13619427080950974, 0.01966189947891989, -0.029175216808011207, 0.17120699694736258, 0.19719975029447062, 0.0807409904561663, 0.2851073218865649, 0.17315896236986567, 0.017239141195793364, 0.20140979549272314, -0.15299241763483118, -0.04258646141148775, -0.2424389821180204, -0.12580199821797364, -0.21145724988994463, 0.022022323105963606, -0.054905869163656675, -0.15057313100238817, 0.4231332678875119, 0.11770113194635247, 0.19660749817814896, -0.03713307252687895, 0.30378000895798857, 0.06417798532921178, 0.1387026852920398, 0.03230013392578043, 0.2357827995712047, 0.15348604580546688, 0.07212782517650768, -0.22065895652699777, 0.044305463773472345, 0.020639882318552256]
|
706.144
|
One loop renormalization of the non-local gauge invariant operator min_U
(A^U_mu)^2 in QCD
|
We compute the one loop anomalous dimension of the gauge invariant dimension
two operator min_U (A^U_mu)^2, where U is an element of the gauge group, by
exploiting Zwanziger's expansion of the operator in terms of gauge invariant
non-local n leg operators. The computation is performed in an arbitrary linear
covariant gauge and the cancellation of the gauge parameter in the final
anomalous dimension is demonstrated explicitly. The result is equivalent to the
one loop anomalous dimension of the local dimension two operator (A^a_mu)^2 in
the Landau gauge.
|
hep-th
|
we compute the one loop anomalous dimension of the gauge invariant dimension two operator min_u au_mu2 where u is an element of the gauge group by exploiting zwanzigers expansion of the operator in terms of gauge invariant nonlocal n leg operators the computation is performed in an arbitrary linear covariant gauge and the cancellation of the gauge parameter in the final anomalous dimension is demonstrated explicitly the result is equivalent to the one loop anomalous dimension of the local dimension two operator aa_mu2 in the landau gauge
|
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|
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|
706.1441
|
On Shadow of the Moon in Extensive Air Shower Data
|
A new technique has been devised for the analysis of extensive air shower
data in observing the effect of the moon on this data. In this technique the
number of EAS events with arrival directions falling in error circles centered
about the moving moon is compared to the mean number of events falling in error
circles with centers randomly chosen in the sky. For any assumed angular radius
of the error circle the deficit in EAS event count in the direction of moon
i.e., Nsky-Nmoon which is a moon-related effect is interpreted as the shadow of
the moon. A simple theoretical model has been developed to relate Nsky to the
angular radius of the error circle and has been applied to the counts from the
moon's direction in order to extract the physical parameters of the shadow of
the moon. The technique and the theoretical model has been used on 1.7 *10^5
EAS events recorded at Alborz observatory.
|
astro-ph
|
a new technique has been devised for the analysis of extensive air shower data in observing the effect of the moon on this data in this technique the number of eas events with arrival directions falling in error circles centered about the moving moon is compared to the mean number of events falling in error circles with centers randomly chosen in the sky for any assumed angular radius of the error circle the deficit in eas event count in the direction of moon ie nskynmoon which is a moonrelated effect is interpreted as the shadow of the moon a simple theoretical model has been developed to relate nsky to the angular radius of the error circle and has been applied to the counts from the moons direction in order to extract the physical parameters of the shadow of the moon the technique and the theoretical model has been used on 17 105 eas events recorded at alborz observatory
|
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|
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|
706.1442
|
Searching for New Physics in Future Neutrino Factory Experiments
|
An extension of the New Standard Model, by introducing a mixing of the low
mass ``active'' neutrinos with heavy ones, or by any model with lepton flavor
violation, is considered. This leads to non-orthogonal neutrino production and
detection states and to modifications of neutrino oscillations in both, vacuum
and matter. The possibility of the discovery of such effects in current and
future neutrino oscillation experiments is discussed. First order approximation
formulas for the flavor transition probabilities in constant density matter,
for all experimentally available channels, are given. Numerical calculations of
flavor transition probabilities for two sets of New Physics parameters
describing a single ``effective'' heavy neutrino state, both satisfying present
experimental constraints, have been performed. Two energy ranges and several
baselines, assuming both the current ($\pm2\sigma$) and the expected in future
($\pm3%$) errors of the neutrino oscillation parameters are considered, keeping
their present central values. It appears that the biggest potential of the
discovery of the possible presence of any New Physics is pronounced in
oscillation channels in which $\nu_{e}$, $\nu_{\bar{e}}$ are not involved at
all, especially for two baselines, $L=3000 km$ and $L=7500 km$, which for other
reasons are also called ``magic'' for future $Neutrino Factory$ experiments.
|
hep-ph
|
an extension of the new standard model by introducing a mixing of the low mass active neutrinos with heavy ones or by any model with lepton flavor violation is considered this leads to nonorthogonal neutrino production and detection states and to modifications of neutrino oscillations in both vacuum and matter the possibility of the discovery of such effects in current and future neutrino oscillation experiments is discussed first order approximation formulas for the flavor transition probabilities in constant density matter for all experimentally available channels are given numerical calculations of flavor transition probabilities for two sets of new physics parameters describing a single effective heavy neutrino state both satisfying present experimental constraints have been performed two energy ranges and several baselines assuming both the current pm2sigma and the expected in future pm3 errors of the neutrino oscillation parameters are considered keeping their present central values it appears that the biggest potential of the discovery of the possible presence of any new physics is pronounced in oscillation channels in which nu_e nu_bare are not involved at all especially for two baselines l3000 km and l7500 km which for other reasons are also called magic for future neutrino factory experiments
|
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|
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|
706.1443
|
Spin chain from membrane and the Neumann-Rosochatius integrable system
|
We find membrane configurations in AdS_4 x S^7, which correspond to the
continuous limit of the SU(2) integrable spin chain, considered as a limit of
the SU(3) spin chain, arising in N=4 SYM in four dimensions, dual to strings in
AdS_5 x S^5. We also discuss the relationship with the Neumann-Rosochatius
integrable system at the level of Lagrangians, comparing the string and
membrane cases.
|
hep-th nlin.SI
|
we find membrane configurations in ads_4 x s7 which correspond to the continuous limit of the su2 integrable spin chain considered as a limit of the su3 spin chain arising in n4 sym in four dimensions dual to strings in ads_5 x s5 we also discuss the relationship with the neumannrosochatius integrable system at the level of lagrangians comparing the string and membrane cases
|
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|
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|
706.1444
|
Representations of tame quivers and affine canonical bases
|
An integral PBW-basis of type $A_1^{(1)}$ has been constructed by Zhang [Z]
and Chen [C] using the Auslander-Reiten quiver of the Kronecker quiver. We
associate a geometric order to elements in this basis following an idea of
Lusztig [L1] in the case of finite type. This leads to an algebraic realization
of a bar-invariant basis of $\uq2$. For any affine symmetric type, we obtain an
integral PBW-basis of the generic composition algebra, by using an algebraic
construction of the integral basis for a tube in [DDX], an embedding of the
module category of the Kronecker quiver into the module category of the tame
quiver, and a list of the root vectors of indecomposable modules according to
the preprojective, regular, and preinjective components of the Auslander-Reiten
quiver of the tame quiver. When the basis elements are ordered to be compatible
with the geometric order given by the dimensions of the orbit varieties and the
extension varieties, we can show that the transition matrix between the
PBW-basis and a monomial basis is triangular with diagonal entries equal to 1.
Therefore we obtain a bar-invariant basis. By a orthogonalization for the
PBW-basis with the inner product, we finally give an algebraic way to realize
the canonical bases of the quantized enveloping algebras of all symmetric
affine Kac-Moody Lie algebras.
|
math.QA
|
an integral pbwbasis of type a_11 has been constructed by zhang z and chen c using the auslanderreiten quiver of the kronecker quiver we associate a geometric order to elements in this basis following an idea of lusztig l1 in the case of finite type this leads to an algebraic realization of a barinvariant basis of uq2 for any affine symmetric type we obtain an integral pbwbasis of the generic composition algebra by using an algebraic construction of the integral basis for a tube in ddx an embedding of the module category of the kronecker quiver into the module category of the tame quiver and a list of the root vectors of indecomposable modules according to the preprojective regular and preinjective components of the auslanderreiten quiver of the tame quiver when the basis elements are ordered to be compatible with the geometric order given by the dimensions of the orbit varieties and the extension varieties we can show that the transition matrix between the pbwbasis and a monomial basis is triangular with diagonal entries equal to 1 therefore we obtain a barinvariant basis by a orthogonalization for the pbwbasis with the inner product we finally give an algebraic way to realize the canonical bases of the quantized enveloping algebras of all symmetric affine kacmoody lie algebras
|
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|
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|
706.1445
|
Form factors in finite volume I: form factor bootstrap and truncated
conformal space
|
We describe the volume dependence of matrix elements of local fields to all
orders in inverse powers of the volume (i.e. only neglecting contributions that
decay exponentially with volume). Using the scaling Lee-Yang model and the
Ising model in a magnetic field as testing ground, we compare them to matrix
elements extracted in finite volume using truncated conformal space approach to
exact form factors obtained using the bootstrap method. We obtain solid
confirmation for the form factor bootstrap, which is different from all
previously available tests in that it is a non-perturbative and direct
comparison of exact form factors to multi-particle matrix elements of local
operators, computed from the Hamiltonian formulation of the quantum field
theory. We also demonstrate that combining form factor bootstrap and truncated
conformal space is an effective method for evaluating finite volume form
factors in integrable field theories over the whole range in volume.
|
hep-th cond-mat.other hep-lat
|
we describe the volume dependence of matrix elements of local fields to all orders in inverse powers of the volume ie only neglecting contributions that decay exponentially with volume using the scaling leeyang model and the ising model in a magnetic field as testing ground we compare them to matrix elements extracted in finite volume using truncated conformal space approach to exact form factors obtained using the bootstrap method we obtain solid confirmation for the form factor bootstrap which is different from all previously available tests in that it is a nonperturbative and direct comparison of exact form factors to multiparticle matrix elements of local operators computed from the hamiltonian formulation of the quantum field theory we also demonstrate that combining form factor bootstrap and truncated conformal space is an effective method for evaluating finite volume form factors in integrable field theories over the whole range in volume
|
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|
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|
706.1446
|
Non-forward Balitsky-Kovchegov equation and Vector Mesons
|
Considering the Balitsky-Kovchegov QCD evolution equation in full momentum
space, we derive the travelling wave solutions expressing the nonlinear
saturation constraints on the dipole scattering amplitude at non-zero momentum
transfer. A phenomenological application to elastic vector meson production
shows the compatibility of data with the QCD prediction: an enhanced saturation
scale at intermediate momentum transfer.
|
hep-ph
|
considering the balitskykovchegov qcd evolution equation in full momentum space we derive the travelling wave solutions expressing the nonlinear saturation constraints on the dipole scattering amplitude at nonzero momentum transfer a phenomenological application to elastic vector meson production shows the compatibility of data with the qcd prediction an enhanced saturation scale at intermediate momentum transfer
|
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|
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|
706.1447
|
Star clusters as diaries of galaxies
|
Most if not all stars form in star clusters. Thus the distribution of star
clusters preserves the information on the star formation history of a galaxy.
Massive clusters form only during episodes of high star formation activity
whereas periods of low star formation activity cannot produce them. We present
here the method of Maschberger & Kroupa (2007) to derive the star formation
history of a galaxy from its star-cluster content.
|
astro-ph
|
most if not all stars form in star clusters thus the distribution of star clusters preserves the information on the star formation history of a galaxy massive clusters form only during episodes of high star formation activity whereas periods of low star formation activity cannot produce them we present here the method of maschberger kroupa 2007 to derive the star formation history of a galaxy from its starcluster content
|
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|
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|
706.1448
|
Rational points on certain hyperelliptic curves over finite fields
|
Let $K$ be a field, $a, b\in K$ and $ab\neq 0$. Let us consider the
polynomials $g_{1}(x)=x^n+ax+b, g_{2}(x)=x^n+ax^2+bx$, where $n$ is a fixed
positive integer. In this paper we show that for each $k\geq 2$ the
hypersurface given by the equation \begin{equation*} S_{k}^{i}:
u^2=\prod_{j=1}^{k}g_{i}(x_{j}),\quad i=1, 2. \end{equation*} contains a
rational curve. Using the above and Woestijne's recent results \cite{Woe} we
show how one can construct a rational point different from the point at
infinity on the curves $C_{i}:y^2=g_{i}(x), (i=1, 2)$ defined over a finite
field, in polynomial time.
|
math.NT
|
let k be a field a bin k and abneq 0 let us consider the polynomials g_1xxnaxb g_2xxnax2bx where n is a fixed positive integer in this paper we show that for each kgeq 2 the hypersurface given by the equation beginequation s_ki u2prod_j1kg_ix_jquad i1 2 endequation contains a rational curve using the above and woestijnes recent results citewoe we show how one can construct a rational point different from the point at infinity on the curves c_iy2g_ix i1 2 defined over a finite field in polynomial time
|
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|
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|
706.1449
|
Detector dead-time effects and paralyzability in high-speed quantum key
distribution
|
Recent advances in quantum key distribution (QKD) have given rise to systems
that operate at transmission periods significantly shorter than the dead times
of their component single-photon detectors. As systems continue to increase in
transmission rate, security concerns associated with detector dead times can
limit the production rate of sifted bits. We present a model of high-speed QKD
in this limit that identifies an optimum transmission rate for a system with
given link loss and detector response characteristics.
|
quant-ph
|
recent advances in quantum key distribution qkd have given rise to systems that operate at transmission periods significantly shorter than the dead times of their component singlephoton detectors as systems continue to increase in transmission rate security concerns associated with detector dead times can limit the production rate of sifted bits we present a model of highspeed qkd in this limit that identifies an optimum transmission rate for a system with given link loss and detector response characteristics
|
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|
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|
706.145
|
Nuclei embedded in an electron gas
|
The properties of nuclei embedded in an electron gas are studied within the
relativistic mean-field approach. These studies are relevant for nuclear
properties in astrophysical environments such as neutron-star crusts and
supernova explosions. The electron gas is treated as a constant background in
the Wigner-Seitz cell approximation. We investigate the stability of nuclei
with respect to alpha and beta decay. Furthermore, the influence of the
electronic background on spontaneous fission of heavy and superheavy nuclei is
analyzed. We find that the presence of the electrons leads to stabilizing
effects for both $\alpha$ decay and spontaneous fission for high electron
densities. Furthermore, the screening effect shifts the proton dripline to more
proton-rich nuclei, and the stability line with respect to beta decay is
shifted to more neutron-rich nuclei. Implications for the creation and survival
of very heavy nuclear systems are discussed.
|
nucl-th
|
the properties of nuclei embedded in an electron gas are studied within the relativistic meanfield approach these studies are relevant for nuclear properties in astrophysical environments such as neutronstar crusts and supernova explosions the electron gas is treated as a constant background in the wignerseitz cell approximation we investigate the stability of nuclei with respect to alpha and beta decay furthermore the influence of the electronic background on spontaneous fission of heavy and superheavy nuclei is analyzed we find that the presence of the electrons leads to stabilizing effects for both alpha decay and spontaneous fission for high electron densities furthermore the screening effect shifts the proton dripline to more protonrich nuclei and the stability line with respect to beta decay is shifted to more neutronrich nuclei implications for the creation and survival of very heavy nuclear systems are discussed
|
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|
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|
706.1451
|
Spin Injection into a Graphene Thin Film at Room Temperature
|
We demonstrate spin injection into a graphene thin film with high reliability
by using non-local magnetoresistance (MR) measurements, in which the electric
current path is completely separated from the spin current path. Using these
non-local measurements, an obvious MR effect was observed at room temperature;
and the MR effect was ascribed to magnetization reversal of ferromagnetic
electrodes. This result is a direct demonstration of spin injection into a
graphene thin film. Furthermore, this is the first report of spin injection
into molecules at room temperature.
|
cond-mat.mtrl-sci
|
we demonstrate spin injection into a graphene thin film with high reliability by using nonlocal magnetoresistance mr measurements in which the electric current path is completely separated from the spin current path using these nonlocal measurements an obvious mr effect was observed at room temperature and the mr effect was ascribed to magnetization reversal of ferromagnetic electrodes this result is a direct demonstration of spin injection into a graphene thin film furthermore this is the first report of spin injection into molecules at room temperature
|
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|
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|
706.1452
|
Reconstructing vibrational states in warm molecules using four-wave
mixing with femtosecond laser pulses
|
We propose a method to reconstruct the vibrational quantum state of molecules
excited by a general excitation laser pulse. Unlike existing methods, we do not
require the molecules before excitation to be in a pure state, allowing us to
treat the important case of initially thermally excited molecules. Even if only
a single initial level is appreciably populated, initial levels with small
populations can still give major contributions to the unknown vibrational
state, making it essential to take them into account. In addition to the
excitation pulse, the method uses two incident, short laser pulses in a
non-co-linear geometry to create four-wave mixing in the molecules. The
measurements used in the reconstruction are spectra of the outgoing four-wave
mixing pulse at different time delays of the excitation laser pulse. An
important point is that the method does not require detailed knowledge of
molecular transition moments between excited states nor of any of the incoming
laser pulses, but circumvents this requirement by using one or more calibration
laser pulses in a separate experiment either before or after the main data are
recorded. The only requirements for the calibration laser pulses are that the
constant parts of their spectrums should together cover the spectral range of
the excitation laser pulse, and the constant part of each should have
sufficient spectral overlap with one other calibration pulse to populate two of
the same levels. Finally, we discuss the extension of the reconstruction method
in this paper to more general situations, hereby presenting the new idea of
quantum state reconstruction through perturbations with calibration.
|
quant-ph
|
we propose a method to reconstruct the vibrational quantum state of molecules excited by a general excitation laser pulse unlike existing methods we do not require the molecules before excitation to be in a pure state allowing us to treat the important case of initially thermally excited molecules even if only a single initial level is appreciably populated initial levels with small populations can still give major contributions to the unknown vibrational state making it essential to take them into account in addition to the excitation pulse the method uses two incident short laser pulses in a noncolinear geometry to create fourwave mixing in the molecules the measurements used in the reconstruction are spectra of the outgoing fourwave mixing pulse at different time delays of the excitation laser pulse an important point is that the method does not require detailed knowledge of molecular transition moments between excited states nor of any of the incoming laser pulses but circumvents this requirement by using one or more calibration laser pulses in a separate experiment either before or after the main data are recorded the only requirements for the calibration laser pulses are that the constant parts of their spectrums should together cover the spectral range of the excitation laser pulse and the constant part of each should have sufficient spectral overlap with one other calibration pulse to populate two of the same levels finally we discuss the extension of the reconstruction method in this paper to more general situations hereby presenting the new idea of quantum state reconstruction through perturbations with calibration
|
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|
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|
706.1453
|
The crucial importance of the $t_{2g}$--$e_g$ hybridization in
transition metal oxides
|
We studied the influence of the trigonal distortion of the regular octahedron
along the (111) direction, found in the $\rm CoO_2$ layers. Under such a
distortion the $t_{2g}$ orbitals split into one $a_{1g}$ and two degenerated
$e_g^\prime$ orbitals. We focused on the relative order of these orbitals.
Using quantum chemical calculations of embedded clusters at different levels of
theory, we analyzed the influence of the different effects not taken into
account in the crystalline field theory; that is metal-ligand hybridization,
long-range crystalline field, screening effects and orbital relaxation. We
found that none of them are responsible for the relative order of the $t_{2g}$
orbitals. In fact, the trigonal distortion allows a mixing of the $t_{2g}$ and
$e_g$ orbitals of the metallic atom. This hybridization is at the origin of the
$a_{1g}$--$e_g^\prime$ relative order and of the incorrect prediction of the
crystalline field theory.
|
cond-mat.str-el
|
we studied the influence of the trigonal distortion of the regular octahedron along the 111 direction found in the rm coo_2 layers under such a distortion the t_2g orbitals split into one a_1g and two degenerated e_gprime orbitals we focused on the relative order of these orbitals using quantum chemical calculations of embedded clusters at different levels of theory we analyzed the influence of the different effects not taken into account in the crystalline field theory that is metalligand hybridization longrange crystalline field screening effects and orbital relaxation we found that none of them are responsible for the relative order of the t_2g orbitals in fact the trigonal distortion allows a mixing of the t_2g and e_g orbitals of the metallic atom this hybridization is at the origin of the a_1ge_gprime relative order and of the incorrect prediction of the crystalline field theory
|
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|
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|
706.1454
|
Heterogeneity and Increasing Returns May Drive Socio-Economic
Transitions
|
There are clear benefits associated with a particular consumer choice for
many current markets. For example, as we consider here, some products might
carry environmental or `green' benefits. Some consumers might value these
benefits while others do not. However, as evidenced by myriad failed attempts
of environmental products to maintain even a niche market, such benefits do not
necessarily outweigh the extra purchasing cost. The question we pose is, how
can such an initially economically-disadvantaged green product evolve to hold
the greater share of the market? We present a simple mathematical model for the
dynamics of product competition in a heterogeneous consumer population. Our
model preassigns a hierarchy to the products, which designates the consumer
choice when prices are comparable, while prices are dynamically rescaled to
reflect increasing returns to scale. Our approach allows us to model many
scenarios of technology substitution and provides a method for generalizing
market forces. With this model, we begin to forecast irreversible trends
associated with consumer dynamics as well as policies that could be made to
influence transitions
|
q-fin.GN physics.soc-ph
|
there are clear benefits associated with a particular consumer choice for many current markets for example as we consider here some products might carry environmental or green benefits some consumers might value these benefits while others do not however as evidenced by myriad failed attempts of environmental products to maintain even a niche market such benefits do not necessarily outweigh the extra purchasing cost the question we pose is how can such an initially economicallydisadvantaged green product evolve to hold the greater share of the market we present a simple mathematical model for the dynamics of product competition in a heterogeneous consumer population our model preassigns a hierarchy to the products which designates the consumer choice when prices are comparable while prices are dynamically rescaled to reflect increasing returns to scale our approach allows us to model many scenarios of technology substitution and provides a method for generalizing market forces with this model we begin to forecast irreversible trends associated with consumer dynamics as well as policies that could be made to influence transitions
|
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|
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|
706.1455
|
Geometrical locus of massive test particle orbits in the space of
physical parameters in Kerr space-time
|
Gravitational radiation of binary systems can be studied by using the
adiabatic approximation in General Relativity. In this approach a small
astrophysical object follows a trajectory consisting of a chained series of
bounded geodesics (orbits) in the outer region of a Kerr Black Hole,
representing the space time created by a bigger object. In our paper we study
the entire class of orbits, both of constant radius (spherical orbits), as well
as non-null eccentricity orbits, showing a number of properties on the physical
parameters and trajectories. The main result is the determination of the
geometrical locus of all the orbits in the space of physical parameters in Kerr
space-time. This becomes a powerful tool to know if different orbits can be
connected by a continuous change of their physical parameters. A discussion on
the influence of different values of the angular momentum of the hole is given.
Main results have been obtained by analytical methods.
|
gr-qc
|
gravitational radiation of binary systems can be studied by using the adiabatic approximation in general relativity in this approach a small astrophysical object follows a trajectory consisting of a chained series of bounded geodesics orbits in the outer region of a kerr black hole representing the space time created by a bigger object in our paper we study the entire class of orbits both of constant radius spherical orbits as well as nonnull eccentricity orbits showing a number of properties on the physical parameters and trajectories the main result is the determination of the geometrical locus of all the orbits in the space of physical parameters in kerr spacetime this becomes a powerful tool to know if different orbits can be connected by a continuous change of their physical parameters a discussion on the influence of different values of the angular momentum of the hole is given main results have been obtained by analytical methods
|
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|
[-0.17885640352784146, 0.10850334162373215, -0.10070595677130886, 0.05869769265785092, -0.06615656689710675, -0.058821803136097806, 0.012457998569363788, 0.31765585975240795, -0.22071626575122918, -0.3022779007111826, 0.08603078206219981, -0.21502632181791048, -0.11092093689667602, 0.26316467756705897, -0.07466601946808007, 0.06650911694807526, 0.07399784844488867, 0.056761851369012746, -0.08660498208276206, -0.21365325940442423, 0.3752402798663224, 0.04800857867324545, 0.1507331798153539, -0.024768067791216795, 0.08734700258580907, 0.02549412012881329, -0.01140681688163069, 0.056588325655132894, -0.15131830984140715, 0.10163058948012128, 0.20300342494832171, 0.12103214536553189, 0.2575587767086202, -0.36143556049754544, -0.2426069290617541, 0.07056989151563856, 0.1444019224960357, 0.11987234882770047, -0.04321744751275307, -0.28704377980977897, 0.06816138276349633, -0.19007601912824376, -0.19871616909250378, -0.03430409881496622, 0.0923769585878378, 0.048252948576344115, -0.2148944581693579, 0.04943986074818719, 0.1038510388101361, 0.027903787407182877, -0.09322866350412369, -0.06541053725917252, -0.04886294120261746, 0.14412770236601993, 0.08142073815087637, 0.013431585055866068, 0.16634156010864723, -0.07037436871098414, -0.08889474148351338, 0.4121546905457733, -0.05316436985327352, -0.22507804156311095, 0.17751412367628466, -0.21600605700044861, -0.09249380067171108, 0.12761690673087875, 0.1911122149592566, 0.19984580229727492, -0.14081670837176422, 0.11945384656071603, -0.05256579688284546, 0.13893463964303654, 0.10315780634240758, 0.03705698184616443, 0.2943176533966776, 0.14593769568469256, 0.031957776623687914, 0.12607128774566997, -0.07459482162885252, -0.07898083542503657, -0.2974436445101615, -0.13059155488567006, -0.1967173529721256, 0.06030294504617491, -0.14009405846788262, -0.16867203313797233, 0.40539749199224095, 0.07292341753960617, 0.24806537754353017, 0.0003644855738046669, 0.30399878633118443, 0.08322885287625174, 0.024314211870753957, 0.08894870793146471, 0.29363328844549197, 0.1125314514663431, 0.05378680970639952, -0.20359771067817364, 0.04730039398456293, 0.08279228810729805]
|
706.1456
|
A Generic Model of Contracts for Embedded Systems
|
We present the mathematical foundations of the contract-based model developed
in the framework of the SPEEDS project. SPEEDS aims at developing methods and
tools to support "speculative design", a design methodology in which
distributed designers develop different aspects of the overall system, in a
concurrent but controlled way. Our generic mathematical model of contract
supports this style of development. This is achieved by focusing on behaviors,
by supporting the notion of "rich component" where diverse (functional and
non-functional) aspects of the system can be considered and combined, by
representing rich components via their set of associated contracts, and by
formalizing the whole process of component composition.
|
cs.SE
|
we present the mathematical foundations of the contractbased model developed in the framework of the speeds project speeds aims at developing methods and tools to support speculative design a design methodology in which distributed designers develop different aspects of the overall system in a concurrent but controlled way our generic mathematical model of contract supports this style of development this is achieved by focusing on behaviors by supporting the notion of rich component where diverse functional and nonfunctional aspects of the system can be considered and combined by representing rich components via their set of associated contracts and by formalizing the whole process of component composition
|
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|
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|
706.1457
|
Universality of traveling waves with QCD running coupling
|
``Geometric scaling'', i.e. the dependence of DIS cross-sections on the ratio
Q/Q_S, where Q_S(Y) is the rapidity-dependent \saturation scale, can be
theoretically obtained from universal ``traveling wave'' solutions of the
nonlinear Balitsky-Kovchegov (BK) QCD evolution equation at fixed coupling. We
examine the similar mean-field predictions beyond leading-logarithmic order,
including running QCD coupling.
|
hep-ph
|
geometric scaling ie the dependence of dis crosssections on the ratio qq_s where q_sy is the rapiditydependent saturation scale can be theoretically obtained from universal traveling wave solutions of the nonlinear balitskykovchegov bk qcd evolution equation at fixed coupling we examine the similar meanfield predictions beyond leadinglogarithmic order including running qcd coupling
|
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|
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|
706.1458
|
Impurity scattering in strongly correlated metals close to the Mott
transition
|
This work explores a simple approximation to describe isolated impurity
scattering in a strongly correlated metal. The approximation combines
conventional one electron scattering theory and the Dynamic Mean Field Theory
to describe strong correlations in the host. It becomes exact in several
limits, including those of very weak and very strong impurity potentials.
Original electronic structure appears at the impurity site when the impurity
potential strength is moderate and the host is close to the Mott transition.
Our results may provide useful guidance for interpretation of scanning
tunneling microscopy experiments in strongly correlated systems.
|
cond-mat.str-el
|
this work explores a simple approximation to describe isolated impurity scattering in a strongly correlated metal the approximation combines conventional one electron scattering theory and the dynamic mean field theory to describe strong correlations in the host it becomes exact in several limits including those of very weak and very strong impurity potentials original electronic structure appears at the impurity site when the impurity potential strength is moderate and the host is close to the mott transition our results may provide useful guidance for interpretation of scanning tunneling microscopy experiments in strongly correlated systems
|
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|
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|
706.1459
|
Transversity Signals in Two-Hadron Production at COMPASS
|
New results on single spin asymmetries of identified charged pion and kaon
pairs produced in deep-inelastic scattering of muons on a transversely
polarized 6LiD target are presented. The data were taken in the years 2003 and
2004 with the COMPASS spectrometer at CERN with a 160 GeV muon beam from the
CERN SPS accelerator. The asymmetries can be interpreted in the context of
transversity as a convolution of the chiral-odd interference fragmentation
function $H_1^\sphericalangle$ with the transverse spin distribution of quarks
$\Delta_Tq(x)$. The measured azimuthal target spin asymmetries on the deuteron
are compatible with zero within a small statistical error of about 1%.
|
hep-ex
|
new results on single spin asymmetries of identified charged pion and kaon pairs produced in deepinelastic scattering of muons on a transversely polarized 6lid target are presented the data were taken in the years 2003 and 2004 with the compass spectrometer at cern with a 160 gev muon beam from the cern sps accelerator the asymmetries can be interpreted in the context of transversity as a convolution of the chiralodd interference fragmentation function h_1sphericalangle with the transverse spin distribution of quarks delta_tqx the measured azimuthal target spin asymmetries on the deuteron are compatible with zero within a small statistical error of about 1
|
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|
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|
706.146
|
Uncertainty in the Fluctuations of the Price of Stocks
|
We report on a study of the Tehran Price Index (TEPIX) from 2001 to 2006 as
an emerging market that has been affected by several political crises during
the recent years, and analyze the non-Gaussian probability density function
(PDF) of the log returns of the stocks' prices. We show that while the average
of the index did not fall very much over the time period of the study, its
day-to-day fluctuations strongly increased due to the crises. Using an approach
based on multiplicative processes with a detrending procedure, we study the
scale-dependence of the non-Gaussian PDFs, and show that the temporal
dependence of their tails indicates a gradual and systematic increase in the
probability of the appearance of large increments in the returns on approaching
distinct critical time scales over which the TEPIX has exhibited maximum
uncertainty.
|
q-fin.ST physics.data-an physics.soc-ph
|
we report on a study of the tehran price index tepix from 2001 to 2006 as an emerging market that has been affected by several political crises during the recent years and analyze the nongaussian probability density function pdf of the log returns of the stocks prices we show that while the average of the index did not fall very much over the time period of the study its daytoday fluctuations strongly increased due to the crises using an approach based on multiplicative processes with a detrending procedure we study the scaledependence of the nongaussian pdfs and show that the temporal dependence of their tails indicates a gradual and systematic increase in the probability of the appearance of large increments in the returns on approaching distinct critical time scales over which the tepix has exhibited maximum uncertainty
|
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|
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|
706.1461
|
Gap solitons in spatiotemporal photonic crystals
|
We generalize the concept of nonlinear periodic structures to systems that
show arbitrary spacetime variations of the refractive index. Nonlinear pulse
propagation through these spatiotemporal photonic crystals can be described,
for shallow nonstationary gratings, by coupled mode equations which are a
generalization of the traditional equations used for stationary photonic
crystals. Novel gap soliton solutions are found by solving a modified massive
Thirring model. They represent the missing link between the gap solitons in
static photonic crystals and resonance solitons found in dynamic gratings.
|
physics.optics
|
we generalize the concept of nonlinear periodic structures to systems that show arbitrary spacetime variations of the refractive index nonlinear pulse propagation through these spatiotemporal photonic crystals can be described for shallow nonstationary gratings by coupled mode equations which are a generalization of the traditional equations used for stationary photonic crystals novel gap soliton solutions are found by solving a modified massive thirring model they represent the missing link between the gap solitons in static photonic crystals and resonance solitons found in dynamic gratings
|
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|
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|
706.1462
|
MiniBooNE Results and Neutrino Schemes with 2 sterile Neutrinos:
Possible Mass Orderings and Observables related to Neutrino Masses
|
The MiniBooNE and LSND experiments are compatible with each other when two
sterile neutrinos are added to the three active ones. In this case there are
eight possible mass orderings. In two of them both sterile neutrinos are
heavier than the three active ones. In the next two scenarios both sterile
neutrinos are lighter than the three active ones. The remaining four scenarios
have one sterile neutrino heavier and another lighter than the three active
ones. We analyze all scenarios with respect to their predictions for
mass-related observables. These are the sum of neutrino masses as constrained
by cosmological observations, the kinematic mass parameter as measurable in the
KATRIN experiment, and the effective mass governing neutrinoless double beta
decay. It is investigated how these non-oscillation probes can distinguish
between the eight scenarios. Six of the eight possible mass orderings predict
positive signals in the KATRIN and future neutrinoless double beta decay
experiments. We also remark on scenarios with three sterile neutrinos. In
addition we make some comments on the possibility of using decays of high
energy astrophysical neutrinos to discriminate between the mass orderings in
presence of two sterile neutrinos.
|
hep-ph astro-ph hep-ex
|
the miniboone and lsnd experiments are compatible with each other when two sterile neutrinos are added to the three active ones in this case there are eight possible mass orderings in two of them both sterile neutrinos are heavier than the three active ones in the next two scenarios both sterile neutrinos are lighter than the three active ones the remaining four scenarios have one sterile neutrino heavier and another lighter than the three active ones we analyze all scenarios with respect to their predictions for massrelated observables these are the sum of neutrino masses as constrained by cosmological observations the kinematic mass parameter as measurable in the katrin experiment and the effective mass governing neutrinoless double beta decay it is investigated how these nonoscillation probes can distinguish between the eight scenarios six of the eight possible mass orderings predict positive signals in the katrin and future neutrinoless double beta decay experiments we also remark on scenarios with three sterile neutrinos in addition we make some comments on the possibility of using decays of high energy astrophysical neutrinos to discriminate between the mass orderings in presence of two sterile neutrinos
|
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|
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|
706.1463
|
Nernst Effect in NdBa_2[Cu_{1-y}Ni_y]_3O_{7-\delta}
|
In NdBa_2[Cu_{1-y}Ni_y]_3O_{7-\delta}, magnetic Ni-impurities suppress Tc but
at the same time the pseudogap is strongly enhanced. This unique feature makes
it an ideal system to study possible relations between the anomalous Nernst
effect, superconductivity and the pseudogap. We present Nernst effect
measurements on a series of optimally doped (O_7) and underdoped (O_{6.8})
samples with Ni contents ranging from y=0 to 0.12. In all samples an onset of
the Nernst signal is found at T^\nu > Tc. For the optimally doped samples T^\nu
and Tc decrease simultaneously with increasing Ni content. The underdoped
samples show a different behavior, i.e. the onset of the Nernst signal is
hardly affected by increasing the Ni content from y=0 to 0.03. Irrespective of
the oxygen content, T^\nu clearly does not track the enhanced pseudogap
temperature T*.
|
cond-mat.supr-con cond-mat.str-el
|
in ndba_2cu_1yni_y_3o_7delta magnetic niimpurities suppress tc but at the same time the pseudogap is strongly enhanced this unique feature makes it an ideal system to study possible relations between the anomalous nernst effect superconductivity and the pseudogap we present nernst effect measurements on a series of optimally doped o_7 and underdoped o_68 samples with ni contents ranging from y0 to 012 in all samples an onset of the nernst signal is found at tnu tc for the optimally doped samples tnu and tc decrease simultaneously with increasing ni content the underdoped samples show a different behavior ie the onset of the nernst signal is hardly affected by increasing the ni content from y0 to 003 irrespective of the oxygen content tnu clearly does not track the enhanced pseudogap temperature t
|
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|
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|
706.1464
|
Testing thermal reprocessing in AGN accretion discs
|
The thermal reprocessing hypothesis in AGN, where EUV/X-ray photons are
reprocessed by the accretion disc into optical/UV photons, predicts
wavelength-dependent time delays between the optical continuum at different
wavelengths. Recent photometric monitoring by Sergeev et al. has shown that the
time-delay is observed in 14 AGN, and generally seen to increase with
increasing wavelength, as predicted in the reprocessing scenario. We fit the
observed time delays and optical spectral energy distribution using a disc
reprocessing model. The model delivers estimates for the nuclear reddening, the
product of black hole mass times accretion rate, and the distance to each
object. However, the distances at face value give H_0 = 44 +/- 5 km/s/Mpc - a
factor of 1.6 smaller than generally accepted. We discuss the implications of
this on the reprocessing model.
|
astro-ph
|
the thermal reprocessing hypothesis in agn where euvxray photons are reprocessed by the accretion disc into opticaluv photons predicts wavelengthdependent time delays between the optical continuum at different wavelengths recent photometric monitoring by sergeev et al has shown that the timedelay is observed in 14 agn and generally seen to increase with increasing wavelength as predicted in the reprocessing scenario we fit the observed time delays and optical spectral energy distribution using a disc reprocessing model the model delivers estimates for the nuclear reddening the product of black hole mass times accretion rate and the distance to each object however the distances at face value give h_0 44 5 kmsmpc a factor of 16 smaller than generally accepted we discuss the implications of this on the reprocessing model
|
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|
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|
706.1465
|
Supercurrents in an atom-molecule gas in an optical ring lattice
|
Atom and molecule currents in a Fermi gas in the neighborhood of a Feshbach
resonance are studied in a one-dimensional optical ring lattice by directly
diagonalizing small models. A rotational analogy of flux quantization is used
to show that fraction of the current is carried by particles with twice the
mass of an atom, which suggests pairing and superfluidity.
|
quant-ph
|
atom and molecule currents in a fermi gas in the neighborhood of a feshbach resonance are studied in a onedimensional optical ring lattice by directly diagonalizing small models a rotational analogy of flux quantization is used to show that fraction of the current is carried by particles with twice the mass of an atom which suggests pairing and superfluidity
|
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|
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|
706.1466
|
The absolute Galois group acts faithfully on the connected components of
the moduli space of surfaces of general type
|
We show that the Galois group $Gal(\bar{\Q} /\Q)$ operates faithfully on the
set of connected components of the moduli spaces of surfaces of general type,
and also that for each element $\sigma \in Gal(\bar{\Q} /\Q)$ different from
the identity and from complex conjugation, there is a surface of general type
such that $X$ and the Galois conjugate variety $X^{\sigma}$ have nonisomorphic
fundamental groups. The result was announced by the second author at the
Alghero Conference 'Topology of algebraic varieties' in september 2006. Before
the present paper was actually written, we received a very interesting preprint
by Robert Easton and Ravi Vakil (\cite{e-v}), where it is proven, with a
completely different type of examples, that the Galois group $Gal(\bar{\Q}
/\Q)$ operates faithfully on the set of irreducible components of the moduli
spaces of surfaces of general type. We also give other simpler examples of
surfaces with nonisomorphic fundamental groups which are Galois conjugate,
hence have isomorphic algebraic fundamental groups.
|
math.AG math.NT
|
we show that the galois group galbarq q operates faithfully on the set of connected components of the moduli spaces of surfaces of general type and also that for each element sigma in galbarq q different from the identity and from complex conjugation there is a surface of general type such that x and the galois conjugate variety xsigma have nonisomorphic fundamental groups the result was announced by the second author at the alghero conference topology of algebraic varieties in september 2006 before the present paper was actually written we received a very interesting preprint by robert easton and ravi vakil citeev where it is proven with a completely different type of examples that the galois group galbarq q operates faithfully on the set of irreducible components of the moduli spaces of surfaces of general type we also give other simpler examples of surfaces with nonisomorphic fundamental groups which are galois conjugate hence have isomorphic algebraic fundamental groups
|
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|
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|
706.1467
|
The Quantum-Classical Transition and Wave Packet Dispersion
|
Two recent studies have presented new information relevant to the transition
from quantum behavior to classical behavior, and related this to parameters
characterizing the universe as a whole. The present study based on a separate
approach has developed similar results that appear to substantiate aspects of
earlier work and also to introduce further new ideas.
|
physics.gen-ph
|
two recent studies have presented new information relevant to the transition from quantum behavior to classical behavior and related this to parameters characterizing the universe as a whole the present study based on a separate approach has developed similar results that appear to substantiate aspects of earlier work and also to introduce further new ideas
|
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|
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|
706.1468
|
Enhanced Pressure Dependence of Magnetic Exchange in A2+[V2]O4 Spinels
Approaching the Itinerant Electron Limit
|
We report a systematic enhancement of the pressure dependence of TN in
A2+[V2]O4 spinels as the V-V separation approaches the critical separation for
a transition to itinerant-electron behavior. An intermediate phase between
localized and itinerant electron behavior is identified in Zn[V2]O4 and
Mg[V2]O4 exhibiting mobile holes as large polarons. In Zn[V2]O4, cooperative
ordering of V-V pairs below a Ts=TN does not totally suppress the V3+-ion spins
at ambient pressure, but makes TN to decrease with pressure. Our results
demonstrate that Zn[V2]O4 and Mg[V2]O4 are less localized than previously
thought.
|
cond-mat.str-el
|
we report a systematic enhancement of the pressure dependence of tn in a2v2o4 spinels as the vv separation approaches the critical separation for a transition to itinerantelectron behavior an intermediate phase between localized and itinerant electron behavior is identified in znv2o4 and mgv2o4 exhibiting mobile holes as large polarons in znv2o4 cooperative ordering of vv pairs below a tstn does not totally suppress the v3ion spins at ambient pressure but makes tn to decrease with pressure our results demonstrate that znv2o4 and mgv2o4 are less localized than previously thought
|
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|
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|
706.1469
|
N=4 Supersymmetric MICZ-Kepler systems on S3
|
Proceeding from the superfield action for $N=4, d=1$ nonlinear
supermultiplet, equipped with the most general potential term, we find the
action describing a charged particle on the sphere $S^3$ in the field of $n$
fixed Dirac dyons. We construct the supercharges and Hamiltonian and analyze
some particulary interesting potentials corresponding to the N=4 supersymmetric
extension of the integrable one- and two-center
McIntosh--Cisneros--Zwanziger--Kepler (MICZ-Kepler) systems on $S^3$.
|
hep-th
|
proceeding from the superfield action for n4 d1 nonlinear supermultiplet equipped with the most general potential term we find the action describing a charged particle on the sphere s3 in the field of n fixed dirac dyons we construct the supercharges and hamiltonian and analyze some particulary interesting potentials corresponding to the n4 supersymmetric extension of the integrable one and twocenter mcintoshcisneroszwanzigerkepler miczkepler systems on s3
|
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|
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|
706.147
|
Fast mode of rotating atoms in one-dimensional lattice rings
|
We study the rotation of atoms in one-dimensional lattice rings. In
particular, the "fast mode", where the ground state atoms rotate faster than
the stirring rotating the atoms, is studied both analytically and numerically.
The conditions for the transition to the fast mode are found to be very
different from that in continuum rings. We argue that these transition
frequencies remain unchanged for bosonic condensates described in a mean field.
We show that Fermionic interaction and filling factor have a significant effect
on the transition to the fast mode, and Pauli principle may suppress it
altogether.
|
quant-ph
|
we study the rotation of atoms in onedimensional lattice rings in particular the fast mode where the ground state atoms rotate faster than the stirring rotating the atoms is studied both analytically and numerically the conditions for the transition to the fast mode are found to be very different from that in continuum rings we argue that these transition frequencies remain unchanged for bosonic condensates described in a mean field we show that fermionic interaction and filling factor have a significant effect on the transition to the fast mode and pauli principle may suppress it altogether
|
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|
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|
706.1471
|
Singular unitarity in "quantization commutes with reduction"
|
Let $M$ be a connected compact quantizable K\"ahler manifold equipped with a
Hamiltonian action of a connected compact Lie group $G$. Let
$M//G=\phi^{-1}(0)/G=M_0$ be the symplectic quotient at value 0 of the moment
map $\phi$. The space $M_0$ may in general not be smooth. It is known that, as
vector spaces, there is a natural isomorphism between the quantum Hilbert space
over $M_0$ and the $G$-invariant subspace of the quantum Hilbert space over
$M$. In this paper, without any regularity assumption on the quotient $M_0$, we
discuss the relation between the inner products of these two quantum Hilbert
spaces under the above natural isomorphism; we establish asymptotic unitarity
to leading order in Planck's constant of a modified map of the above
isomorphism under a ``metaplectic correction'' of the two quantum Hilbert
spaces.
|
math.SG
|
let m be a connected compact quantizable kahler manifold equipped with a hamiltonian action of a connected compact lie group g let mgphi10gm_0 be the symplectic quotient at value 0 of the moment map phi the space m_0 may in general not be smooth it is known that as vector spaces there is a natural isomorphism between the quantum hilbert space over m_0 and the ginvariant subspace of the quantum hilbert space over m in this paper without any regularity assumption on the quotient m_0 we discuss the relation between the inner products of these two quantum hilbert spaces under the above natural isomorphism we establish asymptotic unitarity to leading order in plancks constant of a modified map of the above isomorphism under a metaplectic correction of the two quantum hilbert spaces
|
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|
706.1472
|
On Lesieur's Measured Quantum Groupoids
|
In his thesis ([L1]), which is published in an expended and revised version
([L2]), Franck Lesieur had introduced a notion of measured quantum groupoid, in
the setting of von Neumann algebras, using intensively the notion of
pseudo-multiplicative unitary, which had been introduced in a previous article
of the author, in collaboration with Jean-Michel Vallin [EV]. In [L2], the
axioms given are very complicated and are here simplified.
|
math.OA
|
in his thesis l1 which is published in an expended and revised version l2 franck lesieur had introduced a notion of measured quantum groupoid in the setting of von neumann algebras using intensively the notion of pseudomultiplicative unitary which had been introduced in a previous article of the author in collaboration with jeanmichel vallin ev in l2 the axioms given are very complicated and are here simplified
|
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|
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|
706.1473
|
Generalized St\"ackel Transform and Reciprocal Transformations for
Finite-Dimensional Integrable Systems
|
We present a multiparameter generalization of the St\"ackel transform (the
latter is also known as the coupling-constant metamorphosis) and show that
under certain conditions this generalized St\"ackel transform preserves the
Liouville integrability, noncommutative integrability and superintegrability.
The corresponding transformation for the equations of motion proves to be
nothing but a reciprocal transformation of a special form, and we investigate
the properties of this reciprocal transformation.
Finally, we show that the Hamiltonians of the systems possessing separation
curves of apparently very different form can be related through a suitably
chosen generalized St\"ackel transform.
|
nlin.SI hep-th math-ph math.MP
|
we present a multiparameter generalization of the stackel transform the latter is also known as the couplingconstant metamorphosis and show that under certain conditions this generalized stackel transform preserves the liouville integrability noncommutative integrability and superintegrability the corresponding transformation for the equations of motion proves to be nothing but a reciprocal transformation of a special form and we investigate the properties of this reciprocal transformation finally we show that the hamiltonians of the systems possessing separation curves of apparently very different form can be related through a suitably chosen generalized stackel transform
|
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|
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|
706.1474
|
Determination of the Jet Energy Scale
|
The uncertainty in jet energy scale is one of the dominating systematic
errors for many measurements at hadron colliders - most notably for the
measurement of the top-quark-mass, inclusive jet cross section measurements and
last but not least for events with large missing transverse energy as expected
in searches beyond the standard model. This talk will review the approaches
taken at Tevatron towards controlling the jet energy scale and discuss
prospects for the LHC experiments.
|
hep-ex
|
the uncertainty in jet energy scale is one of the dominating systematic errors for many measurements at hadron colliders most notably for the measurement of the topquarkmass inclusive jet cross section measurements and last but not least for events with large missing transverse energy as expected in searches beyond the standard model this talk will review the approaches taken at tevatron towards controlling the jet energy scale and discuss prospects for the lhc experiments
|
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|
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|
706.1475
|
Jacobi-Nijenhuis algebroids and their modular classes
|
Jacobi-Nijenhuis algebroids are defined as a natural generalization of
Poisson-Nijenhuis algebroids, in the case where there exists a Nijenhuis
operator on a Jacobi algebroid which is compatible with it. We study modular
classes of Jacobi and Jacobi-Nijenhuis algebroids.
|
math.DG math.SG
|
jacobinijenhuis algebroids are defined as a natural generalization of poissonnijenhuis algebroids in the case where there exists a nijenhuis operator on a jacobi algebroid which is compatible with it we study modular classes of jacobi and jacobinijenhuis algebroids
|
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|
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|
706.1476
|
Entanglement signatures of the quantum phase transition induced by a
magnetic impurity in a superconductor
|
The insertion of a magnetic impurity in a superconductor induces a first
order quantum phase transition as the coupling to the electronic spin density
increases. As the transition is crossed, a discontinuity is exhibited by
various quantities, like the total spin density, the total gap function and the
gap function at the impurity location. The location of other quantum phase
transitions have been detected by singularities in entanglement measures of the
system. In this work we show that the single-site and two-site von Neumann
entropies, the mutual information and the Meyer-Wallach measure show
discontinuities at the quantum phase transition. The negativity is less
sensitive to the transition. We study in detail these quantities as a function
of spin coupling and distance from the impurity center.
|
cond-mat.supr-con
|
the insertion of a magnetic impurity in a superconductor induces a first order quantum phase transition as the coupling to the electronic spin density increases as the transition is crossed a discontinuity is exhibited by various quantities like the total spin density the total gap function and the gap function at the impurity location the location of other quantum phase transitions have been detected by singularities in entanglement measures of the system in this work we show that the singlesite and twosite von neumann entropies the mutual information and the meyerwallach measure show discontinuities at the quantum phase transition the negativity is less sensitive to the transition we study in detail these quantities as a function of spin coupling and distance from the impurity center
|
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|
[-0.15821809938549997, 0.19568109224922955, -0.0690201121866703, 0.0697921783644706, 0.021153566159307958, -0.10955143510177731, 0.06611011150479316, 0.34669778461568057, -0.26468688348680736, -0.2856388084664941, 0.05752356316521764, -0.3663228814303875, -0.12229170925542712, 0.1001741535961628, 0.023939004123210907, 0.07737734621763229, -0.02348200293071568, 0.08417904942296445, -0.16346348714269698, -0.1593056774586439, 0.35632758665829894, 0.026323056043125688, 0.28398782378435133, 0.13332296512275935, 0.0507657465711236, 0.004392623854801059, 0.0919317769575864, 0.032392411060631274, -0.15953565620846347, 0.0206111107096076, 0.23072332602739334, 0.024559495655819774, 0.2347916010841727, -0.38663574056327343, -0.2167877070903778, 0.06547782288491726, 0.09527938546426594, 0.14156169452890754, -0.03277800690382719, -0.31613186372816565, -0.01396700681373477, -0.19244126953929663, -0.10985543470084667, -0.04711946695297956, 0.023101109646260738, -0.005509377235546708, -0.22092307497374714, 0.1333295203000307, 0.03401641410589218, 0.061269853122532365, -0.023442828990519048, -0.05530915785115212, -0.06933270325791091, 0.1307610936872661, 0.004497342484071851, 0.05953114453423768, 0.1788403982743621, -0.12257741285301745, -0.10810433435067535, 0.31838977298140525, -0.08187354041729122, -0.13578981527686118, 0.15843883487954735, -0.20408847151696682, -0.0787502357691992, 0.10933148209378123, 0.10027292900532483, 0.1029220874775201, -0.1218473326638341, 0.07903401803784073, 0.02684959932230413, 0.16079636784270407, 0.03718825472518802, 0.10267884475365281, 0.2374023710116744, 0.10027121008932591, 0.09933886114694178, 0.21161632115812973, -0.13989557337015868, -0.13416904301196336, -0.27757988911122083, -0.2128809191286564, -0.2726771064009517, 0.03587550240755081, -0.08737306791497394, -0.17781709165871143, 0.406022646330297, 0.13882517009973527, 0.22339087101444602, -0.02172807003557682, 0.24960226625204085, 0.19219949180353432, 0.06966895146016032, 0.037518787432461974, 0.24800056894868613, 0.16831401282176375, 0.0982071872651577, -0.31943716370500624, 0.0770002619996667, 0.06404101514443755]
|
706.1477
|
VPSPACE and a transfer theorem over the complex field
|
We extend the transfer theorem of [KP2007] to the complex field. That is, we
investigate the links between the class VPSPACE of families of polynomials and
the Blum-Shub-Smale model of computation over C. Roughly speaking, a family of
polynomials is in VPSPACE if its coefficients can be computed in polynomial
space. Our main result is that if (uniform, constant-free) VPSPACE families can
be evaluated efficiently then the class PAR of decision problems that can be
solved in parallel polynomial time over the complex field collapses to P. As a
result, one must first be able to show that there are VPSPACE families which
are hard to evaluate in order to separate P from NP over C, or even from PAR.
|
cs.CC
|
we extend the transfer theorem of kp2007 to the complex field that is we investigate the links between the class vpspace of families of polynomials and the blumshubsmale model of computation over c roughly speaking a family of polynomials is in vpspace if its coefficients can be computed in polynomial space our main result is that if uniform constantfree vpspace families can be evaluated efficiently then the class par of decision problems that can be solved in parallel polynomial time over the complex field collapses to p as a result one must first be able to show that there are vpspace families which are hard to evaluate in order to separate p from np over c or even from par
|
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|
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|
706.1478
|
Coherent population transfer in a chain of tunnel coupled quantum dots
|
We consider the dynamics of a single electron in a chain of tunnel coupled
quantum dots, exploring the formal analogies of this system with some of the
laser-driven multilevel atomic or molecular systems studied by Bruce W. Shore
and collaborators over the last 30 years. In particular, we describe two
regimes for achieving complete coherent transfer of population in such a
multistate system. In the first regime, by carefully arranging the coupling
strengths, the flow of population between the states of the system can be made
periodic in time. In the second regime, by employing a "counterintuitive"
sequence of couplings, the coherent population trapping eigenstate of the
system can be rotated from the initial to the final desired state, which is an
equivalent of the STIRAP technique for atoms or molecules. Our results may be
useful in future quantum computation schemes.
|
quant-ph
|
we consider the dynamics of a single electron in a chain of tunnel coupled quantum dots exploring the formal analogies of this system with some of the laserdriven multilevel atomic or molecular systems studied by bruce w shore and collaborators over the last 30 years in particular we describe two regimes for achieving complete coherent transfer of population in such a multistate system in the first regime by carefully arranging the coupling strengths the flow of population between the states of the system can be made periodic in time in the second regime by employing a counterintuitive sequence of couplings the coherent population trapping eigenstate of the system can be rotated from the initial to the final desired state which is an equivalent of the stirap technique for atoms or molecules our results may be useful in future quantum computation schemes
|
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|
[-0.14412685456778193, 0.1685956803139948, -0.05836108275391954, 0.017310147939897175, 0.05622448732726382, -0.15125472699655285, 0.06722955116325104, 0.364166334377113, -0.28707330420296245, -0.27772025456850197, 0.053874113799257745, -0.2341484608036195, -0.08452451894561766, 0.21860734460188458, -0.007575569693981637, 0.06102970748865673, 0.0838921159804726, -0.00027805829671680507, -0.031199366009457934, -0.22870439120423022, 0.3260194317021586, 0.04314374972914233, 0.25132203436331124, 0.010747950174020115, 0.09911644506657906, 0.01282379651681193, 0.05730826443503776, -0.0105685954649292, -0.08848055997134371, 0.12940391306790147, 0.22926144717683924, 0.07567390957550008, 0.2921150266490084, -0.457826688166143, -0.208806012889225, 0.07112235145260257, 0.16001491046532104, 0.19337272837655683, -0.031725097829079695, -0.319407293896673, 0.029674919710596957, -0.18415600577524552, -0.12545667605388724, -0.04957803912668866, 0.009272792181726677, 0.051415092628845506, -0.25426421789386383, 0.034326609006111924, 0.05652690575423432, 0.047927036934287834, -0.0234783588551936, -0.05959014075061848, 0.0105187336407298, 0.14621386083886556, -0.027418653145498524, -0.0015646123462719908, 0.12088068512042138, -0.13428233688571722, -0.14020633904580423, 0.3709512762064841, -0.09015947049120375, -0.15421724194621153, 0.17757079861265548, -0.14317474287359955, -0.0952190836521645, 0.11955088765049975, 0.15947950303105388, 0.13069304698047804, -0.15305391802941284, 0.0746161833034782, -0.028602771427984355, 0.16200378408708366, 0.05968535258038406, 0.05716367914499913, 0.2309367978971795, 0.18485431753409406, 0.03557955567454193, 0.14763660463322853, -0.0734004555963614, -0.13957065019545192, -0.2539193362256856, -0.1801233711860519, -0.17923422485543744, 0.07464633995984146, -0.03966947349029055, -0.10673391257234394, 0.4185851939643423, 0.12200133271118882, 0.18508678682954283, -0.040303863255564676, 0.26106046664971094, 0.13272258433751127, 0.014201160536827982, 0.024794001947982727, 0.2542056600484379, 0.14629450111141337, 0.0805666736147122, -0.2526514530712359, 0.036950421208311005, 0.01100884991902726]
|
706.1479
|
SU(N) gauge theories in the presence of a topological term
|
We review recent results on the theta dependence of the ground-state energy
and spectrum of four-dimensional SU(N) gauge theories, where theta is the
coefficient of the CP-violating topological term F-Fdual in the Lagrangian. In
particular, we discuss the results obtained by Monte Carlo simulations of the
lattice formulation of QCD, which allow the investigation of theta dependence
around theta=0 by determining the moments of the topological charge
distribution, and their correlations with other observables. The results for
N=3 and larger values of N support the scenario obtained by general large-N
scaling arguments.
|
hep-th hep-lat
|
we review recent results on the theta dependence of the groundstate energy and spectrum of fourdimensional sun gauge theories where theta is the coefficient of the cpviolating topological term ffdual in the lagrangian in particular we discuss the results obtained by monte carlo simulations of the lattice formulation of qcd which allow the investigation of theta dependence around theta0 by determining the moments of the topological charge distribution and their correlations with other observables the results for n3 and larger values of n support the scenario obtained by general largen scaling arguments
|
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|
[-0.1558507213510735, 0.19227832468206305, -0.08869747824048871, 0.060262293571292466, -0.022510506556895765, -0.08721307213620647, 0.0476844940415543, 0.30824253582598077, -0.19066796787892995, -0.2991057613702572, 0.06148385657149408, -0.3009699601173887, -0.1284719926897315, 0.1502022162211411, 0.06324607283686814, 0.07785294474619465, 0.005839606179150629, 0.016182454867268225, -0.1536688791466472, -0.22142447753424715, 0.33746743345957086, 0.05397629086434355, 0.23690122779985162, 0.09708081683872835, 0.03388467221520841, 0.03521974933202095, -0.03782012294370519, 0.009044742120591842, -0.22602511943398934, 0.10355621269580138, 0.17079447277280016, 0.031180011465355918, 0.14130595418670133, -0.3987563885545925, -0.198769690701738, 0.06844836863203217, 0.11045325177964634, 0.08130177267214647, -0.02313620997111961, -0.29534554315487976, 0.048299938946476446, -0.15515093354548773, -0.18199257010912887, -0.10707423377417676, 0.002319389458178826, -0.0028935403198651647, -0.2840478533231046, 0.10050323633122785, 0.02656763583502692, 0.06800179037710895, -0.0269963873630015, -0.15562443659291603, -0.041704476547791906, 0.0842266333676652, 0.13951555261535206, 0.05255221271806437, 0.10058895487378797, -0.19481552310563807, -0.1329195385940535, 0.38874388484122313, -0.0580986943526153, -0.19087278984142872, 0.1048619854213346, -0.2267256764057295, -0.16455084689811844, 0.08612076706966669, 0.09978356597054264, 0.1633964735083282, -0.08262036770136784, 0.16241482806040236, -0.05570710566573088, 0.1161227992573834, -0.0010219860174085784, 0.04779815636182953, 0.1916125374238776, 0.08371335319395218, 0.01820450405332098, 0.11633999427367994, -0.0800267368347546, -0.17018675142468925, -0.362690641787713, -0.1273132674168269, -0.19860342388932148, 0.06022768777430705, -0.17655759119462228, -0.11670812365027024, 0.3870480088112147, 0.17183279556870137, 0.20480416588606717, 0.06387683363636429, 0.22796988596572823, 0.14226718984845438, 0.021403925318736583, 0.016051869841960623, 0.23934915567667264, 0.16391146467219148, 0.08406446247776646, -0.2818942765841949, -0.008690373353285553, 0.1344020432772358]
|
706.148
|
Some necessary and sufficient conditions for parastrophic invariance of
the associative law in quasigroups
|
Every quasigroup $(S,\cdot)$ belongs to a set of 6 quasigroups, called
parastrophes denoted by $(S,\pi_i)$, $i\in \{1,2,3,4,5,6\}$. It is shown that
isotopy-isomorphy is a necessary and sufficient condition for any two distinct
quasigroups $(S,\pi_i)$ and $(S,\pi_j)$, $i,j\in \{1,2,3,4,5,6\}$ to be
parastrophic invariant relative to the associative law. In addition, a
necessary and sufficient condition for any two distinct quasigroups $(S,\pi_i)$
and $(S,\pi_j)$, $i,j\in \{1,2,3,4,5,6\}$ to be parastrophic invariance under
the associative law is either if the $\pi_i$-parastrophe of $H$ is equivalent
to the $\pi_i$-parastrophe of the holomorph of the $\pi_i$-parastrophe of $S$
or if the $\pi_i$-parastrophe of $H$ is equivalent to the $\pi_k$-parastrophe
of the $\pi_i$-parastrophe of the holomorph of the $\pi_i$-parastrophe of $S$,
for a particular $k\in \{1,2,3,4,5,6\}$.
|
math.GM
|
every quasigroup scdot belongs to a set of 6 quasigroups called parastrophes denoted by spi_i iin 123456 it is shown that isotopyisomorphy is a necessary and sufficient condition for any two distinct quasigroups spi_i and spi_j ijin 123456 to be parastrophic invariant relative to the associative law in addition a necessary and sufficient condition for any two distinct quasigroups spi_i and spi_j ijin 123456 to be parastrophic invariance under the associative law is either if the pi_iparastrophe of h is equivalent to the pi_iparastrophe of the holomorph of the pi_iparastrophe of s or if the pi_iparastrophe of h is equivalent to the pi_kparastrophe of the pi_iparastrophe of the holomorph of the pi_iparastrophe of s for a particular kin 123456
|
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|
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|
706.1481
|
Weak Inverse Property Loops and Some Isotopy-Isomorphy Properties
|
Two distinct isotopy-isomorphy conditions, different from those of J. M.
Osborn and Wilson's condition, for a weak inverse property loop(WIPL) are
shown. Only one of them characterizes isotopy-isomorphy in WIPLs while the
other is just a sufficient condition for isotopy-isomorphy. Under the
sufficient condition called the ${\cal T}$ condition, Artzy's result that
isotopic cross inverse property loops(CIPL) are isomorphic is proved for WIP
loops.
|
math.GR
|
two distinct isotopyisomorphy conditions different from those of j m osborn and wilsons condition for a weak inverse property loopwipl are shown only one of them characterizes isotopyisomorphy in wipls while the other is just a sufficient condition for isotopyisomorphy under the sufficient condition called the cal t condition artzys result that isotopic cross inverse property loopscipl are isomorphic is proved for wip loops
|
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|
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|
706.1482
|
On a Pair of Universal Weak Inverse Property Loops
|
A new condition called ${\cal T}$ condition is introduced for the first time
and used to study a pair of isotopic loops. Under this condition, a loop in the
pair is a WIPL if and only if the other loop is a WIPL. Furthermore, such WIPLs
are isomorphic. The translation elements $f$ and $g$ of a CIPL with the ${\cal
T}$ condition(such that its $f,g$-isotope is an automorphic inverse property
loop) are found to be alternative, flexible, centrum and equal elements. A
necessary and sufficient condition for a pair WIPLs with a weak ${\cal T}$
condition to be isomorphic is shown. A CIPL and an isomorph are observed to
have this weak ${\cal T}$ condition.
|
math.GM
|
a new condition called cal t condition is introduced for the first time and used to study a pair of isotopic loops under this condition a loop in the pair is a wipl if and only if the other loop is a wipl furthermore such wipls are isomorphic the translation elements f and g of a cipl with the cal t conditionsuch that its fgisotope is an automorphic inverse property loop are found to be alternative flexible centrum and equal elements a necessary and sufficient condition for a pair wipls with a weak cal t condition to be isomorphic is shown a cipl and an isomorph are observed to have this weak cal t condition
|
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|
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|
706.1483
|
Unitary Representations of Wavelet Groups and Encoding of Iterated
Function Systems in Solenoids
|
For points in $d$ real dimensions, we introduce a geometry for general digit
sets. We introduce a positional number system where the basis for our
representation is a fixed $d$ by $d$ matrix over $\bz$. Our starting point is a
given pair $(A, \mathcal D)$ with the matrix $A$ assumed expansive, and
$\mathcal D$ a chosen complete digit set, i.e., in bijective correspondence
with the points in $\bz^d/A^T\bz^d$. We give an explicit geometric
representation and encoding with infinite words in letters from $\mathcal D$.
We show that the attractor $X(A^T,\mathcal D)$ for an affine Iterated Function
System (IFS) based on $(A,\mathcal D)$ is a set of fractions for our digital
representation of points in $\br^d$. Moreover our positional "number
representation" is spelled out in the form of an explicit IFS-encoding of a
compact solenoid $\sa$ associated with the pair $(A,\mathcal D)$. The intricate
part (Theorem \ref{thenccycl}) is played by the cycles in $\bz^d$ for the
initial $(A,\mathcal D)$-IFS. Using these cycles we are able to write down
formulas for the two maps which do the encoding as well as the decoding in our
positional $\mathcal D$-representation.
We show how some wavelet representations can be realized on the solenoid, and
on symbolic spaces.
|
math.NT math.FA
|
for points in d real dimensions we introduce a geometry for general digit sets we introduce a positional number system where the basis for our representation is a fixed d by d matrix over bz our starting point is a given pair a mathcal d with the matrix a assumed expansive and mathcal d a chosen complete digit set ie in bijective correspondence with the points in bzdatbzd we give an explicit geometric representation and encoding with infinite words in letters from mathcal d we show that the attractor xatmathcal d for an affine iterated function system ifs based on amathcal d is a set of fractions for our digital representation of points in brd moreover our positional number representation is spelled out in the form of an explicit ifsencoding of a compact solenoid sa associated with the pair amathcal d the intricate part theorem refthenccycl is played by the cycles in bzd for the initial amathcal difs using these cycles we are able to write down formulas for the two maps which do the encoding as well as the decoding in our positional mathcal drepresentation we show how some wavelet representations can be realized on the solenoid and on symbolic spaces
|
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|
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|
706.1484
|
Frames of subspaces and operators
|
We study the relationship between operators, orthonormal basis of subspaces
and frames of subspaces (also called fusion frames) for a separable Hilbert
space $\mathcal{H}$. We get sufficient conditions on an orthonormal basis of
subspaces $\mathcal{E} = \{E_i \}_{i\in I}$ of a Hilbert space $\mathcal{K}$
and a surjective $T\in L(\mathcal{K}, \mathcal{H})$ in order that
$\{T(E_i)\}_{i\in I}$ is a frame of subspaces with respect to a computable
sequence of weights. We also obtain generalizations of results in [J. A.
Antezana, G. Corach, M. Ruiz and D. Stojanoff, Oblique projections and frames.
Proc. Amer. Math. Soc. 134 (2006), 1031-1037], which related frames of
subspaces (including the computation of their weights) and oblique projections.
The notion of refinament of a fusion frame is defined and used to obtain
results about the excess of such frames. We study the set of admissible weights
for a generating sequence of subspaces. Several examples are given.
|
math.FA math.OA
|
we study the relationship between operators orthonormal basis of subspaces and frames of subspaces also called fusion frames for a separable hilbert space mathcalh we get sufficient conditions on an orthonormal basis of subspaces mathcale e_i _iin i of a hilbert space mathcalk and a surjective tin lmathcalk mathcalh in order that te_i_iin i is a frame of subspaces with respect to a computable sequence of weights we also obtain generalizations of results in j a antezana g corach m ruiz and d stojanoff oblique projections and frames proc amer math soc 134 2006 10311037 which related frames of subspaces including the computation of their weights and oblique projections the notion of refinament of a fusion frame is defined and used to obtain results about the excess of such frames we study the set of admissible weights for a generating sequence of subspaces several examples are given
|
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|
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|
706.1485
|
Bootstrapping confidence intervals for the change-point of time series
|
We study an AMOC time series model with an abrupt change in the mean and
dependent errors that fulfill certain mixing conditions. We obtain confidence
intervals for the unknown change-point via bootstrapping methods.
Precisely we use a block bootstrap of the estimated centered error sequence.
Then we reconstruct a sequence with a change in the mean using the same
estimators as before. The difference between the change-point estimator of the
resampled sequence and the one for the original sequence can be use as an
approximation of the difference between the real change-point and its
estimator. This enables us to construct confidence intervals using the
empirical distribution of the resampled time series.
A simulation study shows that the resampled confidence intervals are usually
closer to their target levels and at the same time smaller than the asymptotic
intervals.
|
math.ST stat.TH
|
we study an amoc time series model with an abrupt change in the mean and dependent errors that fulfill certain mixing conditions we obtain confidence intervals for the unknown changepoint via bootstrapping methods precisely we use a block bootstrap of the estimated centered error sequence then we reconstruct a sequence with a change in the mean using the same estimators as before the difference between the changepoint estimator of the resampled sequence and the one for the original sequence can be use as an approximation of the difference between the real changepoint and its estimator this enables us to construct confidence intervals using the empirical distribution of the resampled time series a simulation study shows that the resampled confidence intervals are usually closer to their target levels and at the same time smaller than the asymptotic intervals
|
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|
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|
706.1486
|
A Minimization Method for Relativistic Electrons in a Mean-Field
Approximation of Quantum Electrodynamics
|
We study a mean-field relativistic model which is able to describe both the
behavior of finitely many spin-1/2 particles like electrons and of the Dirac
sea which is self-consistently polarized in the presence of the real particles.
The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the
photon field. All our results are non-perturbative and mathematically rigorous.
|
physics.atom-ph math-ph math.MP
|
we study a meanfield relativistic model which is able to describe both the behavior of finitely many spin12 particles like electrons and of the dirac sea which is selfconsistently polarized in the presence of the real particles the model is derived from the qed hamiltonian in coulomb gauge neglecting the photon field all our results are nonperturbative and mathematically rigorous
|
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|
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|
706.1487
|
Semiclassical theory of the Ehrenfest-time dependence of quantum
transport
|
In ballistic conductors, there is a low-time threshold for the appearance of
quantum effects in transport coefficients. This low-time threshold is the
Ehrenfest time. Most previous studies of the Ehrenfest-time dependence of
quantum transport assumed ergodic electron dynamics, so that they could be
applied to ballistic quantum dots only. In this article we present a theory of
the Ehrenfest-time dependence of three signatures of quantum transport - the
Fano factor for the shot noise power, the weak localization correction to the
conductance, and the conductance fluctuations - for arbitrary ballistic
conductors.
|
cond-mat.mes-hall
|
in ballistic conductors there is a lowtime threshold for the appearance of quantum effects in transport coefficients this lowtime threshold is the ehrenfest time most previous studies of the ehrenfesttime dependence of quantum transport assumed ergodic electron dynamics so that they could be applied to ballistic quantum dots only in this article we present a theory of the ehrenfesttime dependence of three signatures of quantum transport the fano factor for the shot noise power the weak localization correction to the conductance and the conductance fluctuations for arbitrary ballistic conductors
|
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|
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|
706.1488
|
Dynamical matrix of two-dimensional electron crystals
|
In a quantizing magnetic field, the two-dimensional electron (2DEG) gas has a
rich phase diagram with broken translational symmetry phases such as Wigner,
bubble, and stripe crystals. In this paper, we derive a method to get the
dynamical matrix of these crystals from a calculation of the density response
function performed in the Generalized Random Phase Approximation (GRPA). We
discuss the validity of our method by comparing the dynamical matrix calculated
from the GRPA with that obtained from standard elasticity theory with the
elastic coefficients obtained from a calculation of the deformation energy of
the crystal.
|
cond-mat.mes-hall
|
in a quantizing magnetic field the twodimensional electron 2deg gas has a rich phase diagram with broken translational symmetry phases such as wigner bubble and stripe crystals in this paper we derive a method to get the dynamical matrix of these crystals from a calculation of the density response function performed in the generalized random phase approximation grpa we discuss the validity of our method by comparing the dynamical matrix calculated from the grpa with that obtained from standard elasticity theory with the elastic coefficients obtained from a calculation of the deformation energy of the crystal
|
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|
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|
706.1489
|
New Asymptotic Profiles of Nonstationnary Solutions of the Navier-Stokes
System
|
We show that solutions $u(x,t)$ of the non-stationnary incompressible
Navier--Stokes system in $\R^d$ ($d\geq2$) starting from mild decaying data $a$
behave as $|x|\to\infty$ as a potential field: u(x,t) = e^{t\Delta}a(x) +
\gamma_d\nabla_x(\sum_{h,k} \frac{\delta_{h,k}|x|^2 - d x_h x_k}{d|x|^{d+2}}
K_{h,k}(t))+\mathfrak{o}(\frac{1}{|x|^{d+1}}) where $\gamma_d$ is a constant
and $K_{h,k}=\int_0^t(u_h| u_k)_{L^2}$ is the energy matrix of the flow. We
deduce that, for well localized data, and for small $t$ and large enough $|x|$,
c t |x|^{-(d+1)} \le |u(x,t)|\le c' t |x|^{-(d+1)}, where the lower bound holds
on the complementary of a set of directions, of arbitrary small measure on
$\mathbb{S}^{d-1}$. We also obtain new lower bounds for the large time decay of
the weighted-$L^p$ norms, extending previous results of Schonbek, Miyakawa, Bae
and Jin.
|
math.AP math-ph math.MP
|
we show that solutions uxt of the nonstationnary incompressible navierstokes system in rd dgeq2 starting from mild decaying data a behave as xtoinfty as a potential field uxt etdeltaax gamma_dnabla_xsum_hk fracdelta_hkx2 d x_h x_kdxd2 k_hktmathfrakofrac1xd1 where gamma_d is a constant and k_hkint_0tu_h u_k_l2 is the energy matrix of the flow we deduce that for well localized data and for small t and large enough x c t xd1 le uxtle c t xd1 where the lower bound holds on the complementary of a set of directions of arbitrary small measure on mathbbsd1 we also obtain new lower bounds for the large time decay of the weightedlp norms extending previous results of schonbek miyakawa bae and jin
|
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|
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|
706.149
|
Radiative Fermion Mass Hierarchy in a Non-supersymmetric Unified Theory
|
In non-supersymmetric grand unified models a ``radiative fermion mass
hierarchy" can be achieved in which the spectrum of quark and lepton masses is
determined entirely by physics at the unification scale, with many relations
following from the unified gauge symmetry, and with the masses of the lightest
family arising from loops. A simple, realistic, and predictive model of this
kind is presented. A "doubly lopsided" structure, known to lead to bilarge
neutrino mixing, plays a crucial role in the radiative hierarchy.
|
hep-ph
|
in nonsupersymmetric grand unified models a radiative fermion mass hierarchy can be achieved in which the spectrum of quark and lepton masses is determined entirely by physics at the unification scale with many relations following from the unified gauge symmetry and with the masses of the lightest family arising from loops a simple realistic and predictive model of this kind is presented a doubly lopsided structure known to lead to bilarge neutrino mixing plays a crucial role in the radiative hierarchy
|
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|
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|
706.1491
|
Weather induced effects on extensive air showers observed with the
surface detector of the Pierre Auger Observatory
|
The rate of events measured with the surface detector of the Pierre Auger
Observatory is found to be modulated by the weather conditions. This effect is
due to the increasing amount of matter traversed by the shower as the ground
pressure increases and to the inverse proportionality of the Moliere radius to
the air density near ground. Air-shower simulations with different realistic
profiles of the atmosphere support this interpretation of the observed effects.
|
astro-ph
|
the rate of events measured with the surface detector of the pierre auger observatory is found to be modulated by the weather conditions this effect is due to the increasing amount of matter traversed by the shower as the ground pressure increases and to the inverse proportionality of the moliere radius to the air density near ground airshower simulations with different realistic profiles of the atmosphere support this interpretation of the observed effects
|
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|
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|
706.1492
|
How do trehalose, maltose and sucrose influence some structural and
dynamical properties of lysozyme ? An insight from Molecular Dynamics
simulations
|
The influence of three well-known disaccharides, namely trehalose, maltose
and sucrose, on some structural and dynamical properties of lysozyme has been
investigated by means of molecular dynamics computer simulations in the 37-60
wt % concentration range. The effects of sugars on the protein conformation are
found relatively weak, in agreement with the preferential hydration of
lysozyme. Conversely, sugars seem to increase significantly the relaxation
times of the protein. These effects are shown to be correlated to the
fractional solvent accessibilities of lysozyme residues and further support the
slaving of protein dynamics. Moreover, a significant increase in the relaxation
times of lysozyme, sugars and water molecules is observed within the studied
concentration range and may result from the percolation of the hydrogen-bond
network of sugar molecules. This percolation appears to be of primary
importance to explain the influence of sugars on the dynamical properties of
lysozyme and water.
|
physics.chem-ph cond-mat.soft q-bio.BM
|
the influence of three wellknown disaccharides namely trehalose maltose and sucrose on some structural and dynamical properties of lysozyme has been investigated by means of molecular dynamics computer simulations in the 3760 wt concentration range the effects of sugars on the protein conformation are found relatively weak in agreement with the preferential hydration of lysozyme conversely sugars seem to increase significantly the relaxation times of the protein these effects are shown to be correlated to the fractional solvent accessibilities of lysozyme residues and further support the slaving of protein dynamics moreover a significant increase in the relaxation times of lysozyme sugars and water molecules is observed within the studied concentration range and may result from the percolation of the hydrogenbond network of sugar molecules this percolation appears to be of primary importance to explain the influence of sugars on the dynamical properties of lysozyme and water
|
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|
[-0.07941817432783117, 0.16129479357615523, -0.041317112641791776, 0.042772693527632785, 0.04781042438395934, -0.0795518888961141, 0.03409833501392899, 0.3815986218109523, -0.26494309849628844, -0.28493740204211376, 0.050288367353870905, -0.2833510165498273, -0.16858997959516023, 0.12735073256931484, 0.009638485114396333, 0.008105362430597618, 0.03764995483164069, 0.02315765465864886, -0.005796827206847399, -0.2091725543396522, 0.19273680772581328, 0.07045838205631796, 0.2452217310105693, 0.15496847095535685, 0.056353360234300466, -0.051974283094352036, 0.03912156786010537, 0.029576280051427702, -0.18449902530019618, 0.12836927938440892, 0.21894291840965718, 0.042287936818479775, 0.21648033540887274, -0.45464034407871634, -0.27445626218025, 0.0784994357023133, 0.14380614382329665, 0.10444769292929504, -0.03830225758608558, -0.24280764907678232, 0.09519555296570267, -0.10510090391362112, -0.10767565257145628, -0.03536199293632482, 0.029112554357023528, 0.13006389592869896, -0.20097680172997795, 0.1663512967093146, 0.03169183401918766, 0.08232113135953063, -0.11398024048356416, -0.179964119782161, -0.10578389399787029, 0.1366392288537224, 0.10858130454060251, -0.0024497772675415833, 0.2777383850619503, -0.10347467304800624, -0.042684394799249424, 0.40488716707348005, -0.03951877325275683, -0.1438395740314425, 0.25348971882350235, -0.1606228245766706, -0.1604047770937267, 0.21410253376712743, 0.12019063950650241, 0.09815562938257082, -0.17857993660775356, 0.009102803781749809, 0.0017791078872468375, 0.22597946039056532, 0.11592208619758947, 0.0027459922101813502, 0.16607930371537805, 0.206818712183134, -0.015551880474061999, 0.1497420994006735, -0.08637339520197974, -0.14068241542115908, -0.12219228199244579, -0.18905427089369256, -0.14855241642193232, 0.048714368366508755, -0.09056327549269429, -0.15812382702010028, 0.3591332530079741, 0.06111693286340148, 0.15809494433350452, 0.03580951655430285, 0.13753790108404085, 0.012068431237584923, 0.07547919262417477, -0.03948887000944823, 0.22769438252207816, 0.1505244792158371, 0.10662448691676231, -0.3157785111409931, 0.1666243411664379, 0.008557929670157498]
|
706.1493
|
Dynamical Screening of Atom Confined by Finite-Width Fullerene
|
This is an investigation on the dynamical screening of an atom confined
within a fullerene of finite width. The two surfaces of the fullerene lead to
the presence of two surface plasmon eigenmodes. It is shown that, in the
vicinity of these two eigenfrequencies, there is a large enhancement of the
confined atom's photoabsorption rate.
|
physics.atm-clus
|
this is an investigation on the dynamical screening of an atom confined within a fullerene of finite width the two surfaces of the fullerene lead to the presence of two surface plasmon eigenmodes it is shown that in the vicinity of these two eigenfrequencies there is a large enhancement of the confined atoms photoabsorption rate
|
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|
[-0.1651102973973717, 0.17883264035124077, -0.03731468506157398, 0.004921707396649501, 0.045458022759042004, -0.06458111997397448, 0.0027627990750426594, 0.3867789399894801, -0.20962187702852217, -0.23678687335923315, -0.0058650830527767536, -0.3123600441962481, -0.1254294809292663, 0.1790286547927694, 0.023413520319048652, 0.0038010901686820115, 0.055226421559398824, 0.04805976144800132, -0.026903676135804164, -0.20251701938157732, 0.29662897938608446, 0.026047675582495603, 0.27537998035550115, 0.17075135620649565, 0.016577772796154022, -0.03732073812491515, 0.08509006070142443, 0.017272284796292132, -0.11346875111299927, 0.16664006178351967, 0.21504252984781158, -0.008435730974782597, 0.2735709171403538, -0.43975078457627786, -0.17767625722018154, 0.05643894301558083, 0.16736154539341278, 0.14061191529882225, -0.0834623757855628, -0.2285713028416715, 0.02626279585740783, -0.12403955280103467, -0.16587021112103353, 0.008238183029673316, 0.0459071948108348, -0.006150177866220474, -0.22184158313003452, 0.044044310294769025, 0.07299395827311937, 0.0598590224981308, -0.08796897046267986, -0.06706653267822482, -0.04871993726119399, 0.09116629675369371, 0.057910545513203196, -0.015245282374830409, 0.16601340828294103, -0.09270980594976043, -0.054851695624264805, 0.41609425497325986, -0.0689811023354361, -0.17992302704263818, 0.224179035899314, -0.200112045945769, -0.021258941360495307, 0.23247179773382165, 0.1268618402155963, 0.1515640740706162, -0.1322165085849437, 0.06462950300086628, -0.09015394330702045, 0.1959786904129115, 0.12226888673295351, 0.048589555656706744, 0.23846949420192026, 0.20330380980264057, 0.04518613271753896, 0.15269670119001108, -0.1461698289410296, -0.09743052305632526, -0.28566916232759304, -0.17560131780972535, -0.21024520620703696, 0.03064509335566651, -0.05949658429758115, -0.26578897470767104, 0.41762958155436947, 0.05386310654099692, 0.20095400212501938, -0.0820864812894301, 0.23392438008026642, 0.14684037140316583, 0.08712537298825654, 0.015940385015512055, 0.31072939309206876, 0.19476978524842045, -0.02942736237309873, -0.34373529318889434, 0.012152164818888362, 0.023629177277061073]
|
706.1494
|
Fluctuations of finite-time stability exponents in the standard map and
the detection of small islands
|
Some statistical properties of finite-time stability exponents in the
standard map can be estimated analytically. The mean exponent averaged over the
entire phase space behaves quite differently from all the other cumulants.
Whereas the mean carries information about the strength of the interaction, and
only indirect information about dynamical correlations, the higher cumulants
carry information about dynamical correlations and essentially no information
about the interaction strength. In particular, the variance and higher
cumulants of the exponent are very sensitive to dynamical correlations and
easily detect the presence of very small islands of regular motion via their
anomalous time-scalings. The average of the stability matrix' inverse trace is
even more sensitive to the presence of small islands and has a seemingly
fractal behavior in the standard map parameter. The usual accelerator modes and
the small islands created through double saddle node bifurcations, which come
halfway between the positions in interaction strength of the usual accelerator
modes, are clearly visible in the variance, whose time scaling is capable of
detecting the presence of islands as small as 0.01% of the phase space. We
study these quantities with a local approximation to the trace of the stability
matrix which significantly simplifies the numerical calculations as well as
allows for generalization of these methods to higher dimensions. We also
discuss the nature of this local approximation in some detail.
|
nlin.CD
|
some statistical properties of finitetime stability exponents in the standard map can be estimated analytically the mean exponent averaged over the entire phase space behaves quite differently from all the other cumulants whereas the mean carries information about the strength of the interaction and only indirect information about dynamical correlations the higher cumulants carry information about dynamical correlations and essentially no information about the interaction strength in particular the variance and higher cumulants of the exponent are very sensitive to dynamical correlations and easily detect the presence of very small islands of regular motion via their anomalous timescalings the average of the stability matrix inverse trace is even more sensitive to the presence of small islands and has a seemingly fractal behavior in the standard map parameter the usual accelerator modes and the small islands created through double saddle node bifurcations which come halfway between the positions in interaction strength of the usual accelerator modes are clearly visible in the variance whose time scaling is capable of detecting the presence of islands as small as 001 of the phase space we study these quantities with a local approximation to the trace of the stability matrix which significantly simplifies the numerical calculations as well as allows for generalization of these methods to higher dimensions we also discuss the nature of this local approximation in some detail
|
[['some', 'statistical', 'properties', 'of', 'finitetime', 'stability', 'exponents', 'in', 'the', 'standard', 'map', 'can', 'be', 'estimated', 'analytically', 'the', 'mean', 'exponent', 'averaged', 'over', 'the', 'entire', 'phase', 'space', 'behaves', 'quite', 'differently', 'from', 'all', 'the', 'other', 'cumulants', 'whereas', 'the', 'mean', 'carries', 'information', 'about', 'the', 'strength', 'of', 'the', 'interaction', 'and', 'only', 'indirect', 'information', 'about', 'dynamical', 'correlations', 'the', 'higher', 'cumulants', 'carry', 'information', 'about', 'dynamical', 'correlations', 'and', 'essentially', 'no', 'information', 'about', 'the', 'interaction', 'strength', 'in', 'particular', 'the', 'variance', 'and', 'higher', 'cumulants', 'of', 'the', 'exponent', 'are', 'very', 'sensitive', 'to', 'dynamical', 'correlations', 'and', 'easily', 'detect', 'the', 'presence', 'of', 'very', 'small', 'islands', 'of', 'regular', 'motion', 'via', 'their', 'anomalous', 'timescalings', 'the', 'average', 'of', 'the', 'stability', 'matrix', 'inverse', 'trace', 'is', 'even', 'more', 'sensitive', 'to', 'the', 'presence', 'of', 'small', 'islands', 'and', 'has', 'a', 'seemingly', 'fractal', 'behavior', 'in', 'the', 'standard', 'map', 'parameter', 'the', 'usual', 'accelerator', 'modes', 'and', 'the', 'small', 'islands', 'created', 'through', 'double', 'saddle', 'node', 'bifurcations', 'which', 'come', 'halfway', 'between', 'the', 'positions', 'in', 'interaction', 'strength', 'of', 'the', 'usual', 'accelerator', 'modes', 'are', 'clearly', 'visible', 'in', 'the', 'variance', 'whose', 'time', 'scaling', 'is', 'capable', 'of', 'detecting', 'the', 'presence', 'of', 'islands', 'as', 'small', 'as', '001', 'of', 'the', 'phase', 'space', 'we', 'study', 'these', 'quantities', 'with', 'a', 'local', 'approximation', 'to', 'the', 'trace', 'of', 'the', 'stability', 'matrix', 'which', 'significantly', 'simplifies', 'the', 'numerical', 'calculations', 'as', 'well', 'as', 'allows', 'for', 'generalization', 'of', 'these', 'methods', 'to', 'higher', 'dimensions', 'we', 'also', 'discuss', 'the', 'nature', 'of', 'this', 'local', 'approximation', 'in', 'some', 'detail']]
|
[-0.14744617270337454, 0.15670883218678813, -0.09911637970591462, 0.11657917015431199, -0.019678259732505206, -0.09614656970734359, 0.038681782004070034, 0.29790285211856826, -0.2914651774086191, -0.3120439988519398, 0.10329191489914333, -0.3026133984162698, -0.1343054003134187, 0.17585625288588094, 0.017217042760291536, 0.02320286393140642, 0.01741770822471673, 0.07050603277041644, -0.10453189879470821, -0.2042599948680228, 0.31164434337032226, 0.09336968750384196, 0.2719420282353115, 0.03690254951652605, 0.054078796772435975, 0.00994980579499887, -0.015619482290016353, 0.044454688037668735, -0.11250834894391508, 0.08040091517198432, 0.20546118250708137, 0.041464337276660705, 0.23253345842697723, -0.4047393135094483, -0.197267477238451, 0.12593293049056747, 0.15870077490243212, 0.08791885478733873, -0.0055105381733743086, -0.2855122167716867, 0.07473319404276221, -0.12790111660017697, -0.15360135875380365, -0.0874930230139788, 0.0078103426368605665, 0.048452503630999545, -0.23564431649824005, 0.13810676572744082, 0.06009078240731469, 0.05980542214095814, -0.03109479625527456, -0.096533120098424, -0.044395841336933826, 0.1609454054300191, 0.06221232820311278, -0.014568067040402508, 0.15866027009490477, -0.14221069547160628, -0.06444452012822564, 0.3451108634721355, -0.061948352776588375, -0.1934685978620629, 0.19295932552631712, -0.21011078782820342, -0.09580890894410134, 0.14822863212196222, 0.14092138296109624, 0.09835640803794377, -0.11967735342581623, 0.06227482196378072, 0.011698769937668527, 0.18110528103612264, 0.05802064558624157, 0.08367150050876912, 0.18741717143607925, 0.11634772164792853, 0.0787207237860587, 0.13244773570659163, -0.11118867714869143, -0.16509027826707875, -0.2905382921703027, -0.12940634573793172, -0.1582216032303612, 0.02503143729492357, -0.15498250917218165, -0.17714108607573767, 0.4163804964087571, 0.16037462034104724, 0.21349415023412024, 0.02928752346010047, 0.2760548598016612, 0.11191591186590293, 0.08349035098945023, 0.04466933761497265, 0.2721949266324373, 0.14496043617918986, 0.09836030556107289, -0.22277648527805077, 0.0982250880333595, 0.04243499922657585]
|
706.1495
|
Study of the Cosmic Ray Composition above 0.4 EeV using the Longitudinal
Profiles of Showers observed at the Pierre Auger Observatory
|
The Pierre Auger Observatory has been collecting data in a stable manner
since January 2004. We present here a study of the cosmic ray composition using
events recorded in hybrid mode during the first years of data taking. These are
air showers observed by the fluorescence detector as well as the surface
detector, so the depth of shower maximum, Xmax, is measured directly. The
cosmic ray composition is studied in different energy ranges by comparing the
observed average Xmax with predictions from air shower simulations for
different nuclei. The change of <Xmax> with energy (elongation rate) is used to
derive estimates of the change in primary composition.
|
astro-ph
|
the pierre auger observatory has been collecting data in a stable manner since january 2004 we present here a study of the cosmic ray composition using events recorded in hybrid mode during the first years of data taking these are air showers observed by the fluorescence detector as well as the surface detector so the depth of shower maximum xmax is measured directly the cosmic ray composition is studied in different energy ranges by comparing the observed average xmax with predictions from air shower simulations for different nuclei the change of xmax with energy elongation rate is used to derive estimates of the change in primary composition
|
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|
[-0.0382474086847957, 0.2170352610263312, -0.08358701561342612, 0.09291020117914435, 0.011768444989607713, 0.023024211855274493, -0.04615151004378344, 0.4287988690433101, -0.2239617805418811, -0.43421564731642465, 0.057992596536108824, -0.3446476441458799, -0.03996033456925059, 0.19772734714750306, 0.006148783163663661, 0.08337735966126496, 0.14560704618239792, -0.008813436264955551, -0.053408122895651056, -0.17046889212313238, 0.2278011811670856, 0.25113525749053633, 0.3050556504776893, 0.052364159606355806, 0.1242292029043294, 0.010840730763379937, -0.10943981967393143, -0.010719328261389632, -0.13488447596101422, 0.0837978427472446, 0.26084331519440446, 0.16639407873632403, 0.10676750312689866, -0.4471516576987282, -0.24031385685378145, 0.10398739427502189, 0.07480558553366774, 0.005255236904023685, -0.039538806931019944, -0.2825700419685133, 0.0640683462321062, -0.17182218725575465, -0.11699145082732505, 0.07910600551686937, -0.04149781942158659, 0.06828812409353346, -0.20521693802046997, 0.04962773336027967, -0.05393802035908937, 0.11713255097584746, -0.050755049500214026, -0.14719622667495894, -0.030566781426336023, 0.14945819175902267, 0.11436157479716866, 0.02728176274920039, 0.16161673103032687, -0.06546912200435578, -0.10673840931903954, 0.3559659952733004, -0.08578174007690956, -0.0312481585495113, 0.14153204643968317, -0.21191683764978547, -0.09766278942507282, 0.22313755093507956, 0.17507022741102726, 0.07497258265024033, -0.2310209177155918, 0.06178085811688591, 0.010988198049914823, 0.15867309164360305, 0.09881135462304559, -0.028554277224727323, 0.2069207978909226, 0.22188582712954136, 0.06901832400150945, 0.09034005020610188, -0.2062274934462855, 0.017050537985758247, -0.26241834611396925, -0.12976075440784482, -0.20871587204349784, 0.03898918863264061, -0.03451373216165143, -0.1263083661449464, 0.415146376728733, 0.08023080953927798, 0.19620023015886545, 0.001775317903712531, 0.3019518812369799, 0.07840375542840877, 0.019842566212935148, 0.0473643616277063, 0.32286546665687704, 0.11378240547682568, 0.1515853261383616, -0.22298375598185427, 0.1448467111815568, 0.03056565639519385]
|
706.1496
|
Time-Delayed Feedback control of a flashing ratchet
|
Closed-loop or feedback control ratchets use information about the state of
the system to operate with the aim of maximizing the performance of the system.
In this paper we investigate the effects of a time delay in the feedback for a
protocol that performs an instantaneous maximization of the center-of-mass
velocity. For the one and the few particle cases the flux decreases with
increasing delay, as an effect of the decorrelation of the present state of the
system with the information that the controller uses, but the delayed
closed-loop protocol succeeds to perform better than its open-loop counterpart
provided the delays are smaller than the characteristic times of the Brownian
ratchet. For the many particle case, we also show that for small delays the
center-of-mass velocity decreases for increasing delays. However, for large
delays we find the surprising result that the presence of the delay can improve
the performance of the nondelayed feedback ratchet and the flux can attain the
maximum value obtained with the optimal periodic protocol. This phenomenon is
the result of the emergence of a dynamical regime where the presence of the
delayed feedback stabilizes one quasiperiodic solution or several
(multistability), which resemble the solutions obtained in the so-called
threshold protocol. Our analytical and numerical results point towards the
feasibility of an experimental implementation of a feedback controlled ratchet
that performs equal or better than its optimal open-loop version.
|
cond-mat.stat-mech
|
closedloop or feedback control ratchets use information about the state of the system to operate with the aim of maximizing the performance of the system in this paper we investigate the effects of a time delay in the feedback for a protocol that performs an instantaneous maximization of the centerofmass velocity for the one and the few particle cases the flux decreases with increasing delay as an effect of the decorrelation of the present state of the system with the information that the controller uses but the delayed closedloop protocol succeeds to perform better than its openloop counterpart provided the delays are smaller than the characteristic times of the brownian ratchet for the many particle case we also show that for small delays the centerofmass velocity decreases for increasing delays however for large delays we find the surprising result that the presence of the delay can improve the performance of the nondelayed feedback ratchet and the flux can attain the maximum value obtained with the optimal periodic protocol this phenomenon is the result of the emergence of a dynamical regime where the presence of the delayed feedback stabilizes one quasiperiodic solution or several multistability which resemble the solutions obtained in the socalled threshold protocol our analytical and numerical results point towards the feasibility of an experimental implementation of a feedback controlled ratchet that performs equal or better than its optimal openloop version
|
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|
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|
706.1497
|
Power-free values, repulsion between points, differing beliefs and the
existence of error
|
Let f be a cubic polynomial. Then there are infinitely many primes p such
that f(p) is square-free.
|
math.NT math.PR
|
let f be a cubic polynomial then there are infinitely many primes p such that fp is squarefree
|
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|
[-0.2686448151038753, 0.18163923859699732, -0.1582235793272654, 0.04884083070404207, -0.05959905218333006, -0.2597202337605672, -0.14493997560607064, 0.3130124256842666, -0.4285893850028515, -0.17185898903860813, 0.004092705849972036, -0.3396437917318609, -0.15301226410600874, 0.256827833958798, -0.05579724920810097, 0.04734197804807789, 0.04418450821604994, 0.13539699547820622, 0.03450019565773093, -0.45930656842473483, 0.2613751675623159, -0.22349882239682806, 0.02622822974808514, -0.002253767258177201, 0.04488964709970686, -0.06771284745385249, 0.16356357437972394, -0.0017466456758686239, -0.1573042215204623, 0.01268763348667158, 0.49555868603703046, 0.096259871756451, 0.3926735785272386, -0.38478336079667014, -0.10628578066825867, 0.4438388395226664, 0.2116457963000155, -0.09655940574076441, -0.06503595535953839, -0.08511951912401451, 0.2647609389387071, -0.09711062773648235, -0.16024224630867442, -0.09580966333548228, 0.1876086023532682, 0.08920674946986967, -0.3873804828359021, -0.051055598797069654, 0.15010185001624954, 0.20121412263769242, 0.08958844329592669, -0.2186258376782967, -0.044055020436644554, -0.07626519318566555, -0.01391292276740488, 0.15417370914171138, -0.020547392674618296, -0.02867116947244439, -0.0859352024530785, 0.4009203091263771, -0.002953538257214758, -0.2618439280324512, 0.10807346511218283, -0.1989200338203874, -0.1515686093674352, 0.17830056407385403, 0.016628930810838938, 0.07453691623070174, 0.03559271080626382, 0.36536154792540604, -0.2574156830087304, 0.19296957459300756, 0.23616603097050554, -0.07844658483130236, 0.152846813822786, -0.059604980879359774, 0.06956360395674387, 0.06536583948440643, 0.05283295425275961, 0.10822365805506706, -0.3494553905394342, -0.11014759281857146, -0.21757606696337461, 0.22037578974333075, -0.1557204022279216, -0.21005781434683335, 0.3337211257053746, 0.009820391242909763, 0.13861060763398805, 0.11905501503497362, 0.15957595894320142, 0.17548560759880477, 0.02437201328575611, 0.0966167980287638, -0.05824020709325042, 0.11679204599931836, -0.18914147176676327, -0.08551548193726274, 0.05685099072030021, 0.13293774247479936]
|
706.1498
|
On the derived category of 1-motives, I
|
We consider the category of Deligne 1-motives over a perfect field k of
exponential characteristic p and its derived category for a suitable exact
structure after inverting p. As a first result, we provide a fully faithful
embedding into an etale version of Voevodsky's triangulated category of
geometric motives. Our second main result is that this full embedding "almost"
has a left adjoint, that we call \LAlb. Applied to the motive of a variety we
thus get a bounded complex of 1-motives, that we compute fully for smooth
varieties and partly for singular varieties. As an application we give motivic
proofs of Roitman type theorems (in characteristic 0).
|
math.AG
|
we consider the category of deligne 1motives over a perfect field k of exponential characteristic p and its derived category for a suitable exact structure after inverting p as a first result we provide a fully faithful embedding into an etale version of voevodskys triangulated category of geometric motives our second main result is that this full embedding almost has a left adjoint that we call lalb applied to the motive of a variety we thus get a bounded complex of 1motives that we compute fully for smooth varieties and partly for singular varieties as an application we give motivic proofs of roitman type theorems in characteristic 0
|
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|
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|
706.1499
|
Elementary Maps on Triangular Algebras
|
In this note we prove that elementary maps on triangular algebras are
automically additive.
|
math.RA math.OA
|
in this note we prove that elementary maps on triangular algebras are automically additive
|
[['in', 'this', 'note', 'we', 'prove', 'that', 'elementary', 'maps', 'on', 'triangular', 'algebras', 'are', 'automically', 'additive']]
|
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|
706.15
|
X-ray Flares in Orion Low Mass Stars
|
Context. X-ray flares are common phenomena in pre-main sequence stars. Their
analysis gives insights into the physics at work in young stellar coronae. The
Orion Nebula Cluster offers a unique opportunity to study large samples of
young low mass stars. This work is part of the Chandra Orion Ultradeep project
(COUP), an ~10 day long X-ray observation of the Orion Nebula Cluster (ONC).
Aims. Our main goal is to statistically characterize the flare-like variability
of 165 low mass (0.1-0.3 M_sun) ONC members in order to test and constrain the
physical scenario in which flares explain all the observed emission. Methods.
We adopt a maximum likelihood piece-wise representation of the observed X-ray
light curves and detect flares by taking into account both the amplitude and
time derivative of the count-rate. We then derive the frequency and energy
distribution of the flares. Results. The high energy tail of the energy
distribution of flares is well described by a power-law with index 2.2. We test
the hypothesis that light curves are built entirely by overlapping flares with
a single power law energy distribution. We constrain the parameters of this
simple model for every single light curve. The analysis of synthetic light
curves obtained from the model indicates a good agreement with the observed
data. Comparing low mass stars with stars in the mass interval (0.9-1.2M_sun),
we establish that, at ~1 Myr, low mass and solar mass stars of similar X-ray
luminosity have very similar flare frequencies. Conclusions. Our observational
results are consistent with the following model/scenario: the light curves are
entirely built by over- lapping flares with a power-law intensity distribution;
the intense flares are individually detected, while the weak ones merge and
form a pseudo-quiescent level, which we indicate as the characteristic level.
|
astro-ph
|
context xray flares are common phenomena in premain sequence stars their analysis gives insights into the physics at work in young stellar coronae the orion nebula cluster offers a unique opportunity to study large samples of young low mass stars this work is part of the chandra orion ultradeep project coup an 10 day long xray observation of the orion nebula cluster onc aims our main goal is to statistically characterize the flarelike variability of 165 low mass 0103 m_sun onc members in order to test and constrain the physical scenario in which flares explain all the observed emission methods we adopt a maximum likelihood piecewise representation of the observed xray light curves and detect flares by taking into account both the amplitude and time derivative of the countrate we then derive the frequency and energy distribution of the flares results the high energy tail of the energy distribution of flares is well described by a powerlaw with index 22 we test the hypothesis that light curves are built entirely by overlapping flares with a single power law energy distribution we constrain the parameters of this simple model for every single light curve the analysis of synthetic light curves obtained from the model indicates a good agreement with the observed data comparing low mass stars with stars in the mass interval 0912m_sun we establish that at 1 myr low mass and solar mass stars of similar xray luminosity have very similar flare frequencies conclusions our observational results are consistent with the following modelscenario the light curves are entirely built by over lapping flares with a powerlaw intensity distribution the intense flares are individually detected while the weak ones merge and form a pseudoquiescent level which we indicate as the characteristic level
|
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|
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|
706.1501
|
Longitudinal Shower Profile Reconstruction from Fluorescence and
Cherenkov Light
|
Traditionally, longitudinal shower profiles are reconstructed in fluorescence
light experiments by treating the Cherenkov light contribution as background.
Here we will argue that, due to universality of the energy spectra of electrons
and positrons, both fluorescence and Cherenkov light can be used simultaneously
as signal to infer the longitudinal shower development. We present a new
profile reconstruction method that is based on the analytic least-square
solution for the estimation of the shower profile from the observed light
signal and discuss the extrapolation of the profile with a Gaisser-Hillas
function.
|
astro-ph
|
traditionally longitudinal shower profiles are reconstructed in fluorescence light experiments by treating the cherenkov light contribution as background here we will argue that due to universality of the energy spectra of electrons and positrons both fluorescence and cherenkov light can be used simultaneously as signal to infer the longitudinal shower development we present a new profile reconstruction method that is based on the analytic leastsquare solution for the estimation of the shower profile from the observed light signal and discuss the extrapolation of the profile with a gaisserhillas function
|
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|
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|
706.1502
|
Additivity of Maps on Triangular Algebras
|
We prove that every multiplicative bijective map, Jordan bijective map, and
Jordan triple bijective map from a triangular algebra onto any ring is
automatically additive.
|
math.RA math.OA
|
we prove that every multiplicative bijective map jordan bijective map and jordan triple bijective map from a triangular algebra onto any ring is automatically additive
|
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|
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|
706.1503
|
The law of the supremum of a stable L\'{e}vy process with no negative
jumps
|
Let $X=(X_t)_{t\ge0}$ be a stable L\'{e}vy process of index $\alpha \in(1,2)$
with no negative jumps and let $S_t=\sup_{0\le s\le t}X_s$ denote its running
supremum for $t>0$. We show that the density function $f_t$ of $S_t$ can be
characterized as the unique solution to a weakly singular Volterra integral
equation of the first kind or, equivalently, as the unique solution to a
first-order Riemann--Liouville fractional differential equation satisfying a
boundary condition at zero. This yields an explicit series representation for
$f_t$. Recalling the familiar relation between $S_t$ and the first entry time
$\tau_x$ of $X$ into $[x,\infty)$, this further translates into an explicit
series representation for the density function of $\tau_x$.
|
math.PR
|
let xx_t_tge0 be a stable levy process of index alpha in12 with no negative jumps and let s_tsup_0le sle tx_s denote its running supremum for t0 we show that the density function f_t of s_t can be characterized as the unique solution to a weakly singular volterra integral equation of the first kind or equivalently as the unique solution to a firstorder riemannliouville fractional differential equation satisfying a boundary condition at zero this yields an explicit series representation for f_t recalling the familiar relation between s_t and the first entry time tau_x of x into xinfty this further translates into an explicit series representation for the density function of tau_x
|
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|
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|
706.1504
|
Free Energy of Activation for the Comorosan Effect
|
Initial reaction rate data for lactic dehydrogenase / pyruvate, lactic
dehydrogenase / lactate and malic dehydrogenase / malate enzyme reactions were
analyzed to obtain activation free energy changes of -329, -195 and -221
cal/mole, respectively, for rate increases associated with time-specific
irradiation of the crystalline substrates prior to dissolution and
incorporation in the reaction solutions. These energies, presumably, correspond
to conformational or vibrational changes in the reactants or the activated
complex. For the lactic dehydrogenase / pyruvate reaction, it is estimated that
on the order of 10% of the irradiation energy (546 nm, 400 footcandles for 5
seconds) would be required to produce the observed reaction rate increase if a
presumed photoproduct is consumed stoichiometrically with the pyruvate
substrate. These findings are consistent with the proposition that the observed
reaction rate enhancement involves photoproducts derived from oscillatory
atmospheric gas reactions at the crystalline enzyme substrate surfaces rather
than photo-excitations of the substrate molecules, per se.
|
q-bio.SC q-bio.BM
|
initial reaction rate data for lactic dehydrogenase pyruvate lactic dehydrogenase lactate and malic dehydrogenase malate enzyme reactions were analyzed to obtain activation free energy changes of 329 195 and 221 calmole respectively for rate increases associated with timespecific irradiation of the crystalline substrates prior to dissolution and incorporation in the reaction solutions these energies presumably correspond to conformational or vibrational changes in the reactants or the activated complex for the lactic dehydrogenase pyruvate reaction it is estimated that on the order of 10 of the irradiation energy 546 nm 400 footcandles for 5 seconds would be required to produce the observed reaction rate increase if a presumed photoproduct is consumed stoichiometrically with the pyruvate substrate these findings are consistent with the proposition that the observed reaction rate enhancement involves photoproducts derived from oscillatory atmospheric gas reactions at the crystalline enzyme substrate surfaces rather than photoexcitations of the substrate molecules per se
|
[['initial', 'reaction', 'rate', 'data', 'for', 'lactic', 'dehydrogenase', 'pyruvate', 'lactic', 'dehydrogenase', 'lactate', 'and', 'malic', 'dehydrogenase', 'malate', 'enzyme', 'reactions', 'were', 'analyzed', 'to', 'obtain', 'activation', 'free', 'energy', 'changes', 'of', '329', '195', 'and', '221', 'calmole', 'respectively', 'for', 'rate', 'increases', 'associated', 'with', 'timespecific', 'irradiation', 'of', 'the', 'crystalline', 'substrates', 'prior', 'to', 'dissolution', 'and', 'incorporation', 'in', 'the', 'reaction', 'solutions', 'these', 'energies', 'presumably', 'correspond', 'to', 'conformational', 'or', 'vibrational', 'changes', 'in', 'the', 'reactants', 'or', 'the', 'activated', 'complex', 'for', 'the', 'lactic', 'dehydrogenase', 'pyruvate', 'reaction', 'it', 'is', 'estimated', 'that', 'on', 'the', 'order', 'of', '10', 'of', 'the', 'irradiation', 'energy', '546', 'nm', '400', 'footcandles', 'for', '5', 'seconds', 'would', 'be', 'required', 'to', 'produce', 'the', 'observed', 'reaction', 'rate', 'increase', 'if', 'a', 'presumed', 'photoproduct', 'is', 'consumed', 'stoichiometrically', 'with', 'the', 'pyruvate', 'substrate', 'these', 'findings', 'are', 'consistent', 'with', 'the', 'proposition', 'that', 'the', 'observed', 'reaction', 'rate', 'enhancement', 'involves', 'photoproducts', 'derived', 'from', 'oscillatory', 'atmospheric', 'gas', 'reactions', 'at', 'the', 'crystalline', 'enzyme', 'substrate', 'surfaces', 'rather', 'than', 'photoexcitations', 'of', 'the', 'substrate', 'molecules', 'per', 'se']]
|
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|
706.1505
|
Very High Energy Gamma-ray Radiation from the Stellar-mass Black Hole
Cygnus X-1
|
We report on the results from the observations in very high energy band (VHE,
E_gamma > 100 GeV) of the black hole X-ray binary (BHXB) Cygnus X-1. The
observations were performed with the MAGIC telescope, for a total of 40 hours
during 26 nights, spanning the period between June and November 2006. Searches
for steady gamma-ray signals yielded no positive result and upper limits to the
integral flux ranging between 1 and 2% of the Crab nebula flux, depending on
the energy, have been established. We also analyzed each observation night
independently, obtaining evidence of gamma-ray signals at the 4.0 standard
deviations (sigma) significance level (3.2 sigma after trial correction) for
154 minutes effective on-time (EOT) on September 24 between 20h58 and 23h41
UTC, coinciding with an X-ray flare seen by RXTE, Swift and INTEGRAL. A search
for faster-varying signals within a night resulted in an excess with a
significance of 4.9 sigma (4.1 sigma after trial correction) for 79 minutes EOT
between 22h17 and 23h41 UTC. The measured excess is compatible with a
point-like source at the position of Cygnus X-1, and excludes the nearby radio
nebula powered by its relativistic jet. The differential energy spectrum is
well fitted by an unbroken power-law described by dN/(dA dt dE) = (2.3+- 0.6) x
10^{-12} (E/1 TeV)^{-3.2 +- 0.6}. This is the first experimental evidence of
VHE emission from a stellar-mass black hole, and therefore from a confirmed
accreting X-ray binary.
|
astro-ph
|
we report on the results from the observations in very high energy band vhe e_gamma 100 gev of the black hole xray binary bhxb cygnus x1 the observations were performed with the magic telescope for a total of 40 hours during 26 nights spanning the period between june and november 2006 searches for steady gammaray signals yielded no positive result and upper limits to the integral flux ranging between 1 and 2 of the crab nebula flux depending on the energy have been established we also analyzed each observation night independently obtaining evidence of gammaray signals at the 40 standard deviations sigma significance level 32 sigma after trial correction for 154 minutes effective ontime eot on september 24 between 20h58 and 23h41 utc coinciding with an xray flare seen by rxte swift and integral a search for fastervarying signals within a night resulted in an excess with a significance of 49 sigma 41 sigma after trial correction for 79 minutes eot between 22h17 and 23h41 utc the measured excess is compatible with a pointlike source at the position of cygnus x1 and excludes the nearby radio nebula powered by its relativistic jet the differential energy spectrum is well fitted by an unbroken powerlaw described by dnda dt de 23 06 x 1012 e1 tev32 06 this is the first experimental evidence of vhe emission from a stellarmass black hole and therefore from a confirmed accreting xray binary
|
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|
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|
706.1506
|
Electronic transport in normal-conductor/graphene/normal-conductor
junctions and conditions for insulating behavior at a finite charge-carrier
density
|
We investigate the conductance of normal-conductor/graphene/normal-conductor
(NGN) junctions for arbitrary on-site potentials in the normal and graphitic
parts of the system. We find that a ballistic NGN junction can display
insulating behavior even when the charge-carrier density in the graphene part
is finite. This effect originates in the different k intervals supporting
propagating modes in graphene and a normal conductor, and persists for moderate
levels of bulk, edge, or interface disorder. The ensuing conductance thresholds
could be used as an electronic tool to map out details of the graphene band
structure in absolute k space.
|
cond-mat.mes-hall
|
we investigate the conductance of normalconductorgraphenenormalconductor ngn junctions for arbitrary onsite potentials in the normal and graphitic parts of the system we find that a ballistic ngn junction can display insulating behavior even when the chargecarrier density in the graphene part is finite this effect originates in the different k intervals supporting propagating modes in graphene and a normal conductor and persists for moderate levels of bulk edge or interface disorder the ensuing conductance thresholds could be used as an electronic tool to map out details of the graphene band structure in absolute k space
|
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|
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|
706.1507
|
Scaling laws for soliton pulse compression by cascaded quadratic
nonlinearities
|
We present a detailed study of soliton compression of ultra-short pulses
based on phase-mismatched second-harmonic generation (\textit{i.e.}, the
cascaded quadratic nonlinearity) in bulk quadratic nonlinear media. The
single-cycle propagation equations in the temporal domain including
higher-order nonlinear terms are presented. The balance between the quadratic
(SHG) and the cubic (Kerr) nonlinearity plays a crucial role: we define an
effective soliton number -- related to the difference between the SHG and the
Kerr soliton numbers -- and show that it has to be larger than unity for
successful pulse compression to take place. This requires that the phase
mismatch be below a critical level, which is high in a material where the
quadratic nonlinearity dominates over the cubic Kerr nonlinearity. Through
extensive numerical simulations we find dimensionless scaling laws, expressed
through the effective soliton number, which control the behaviour of the
compressed pulses. These laws hold in the stationary regime, in which
group-velocity mismatch effects are small, and they are similar to the ones
observed for fiber soliton compressors. The numerical simulations indicate that
clean compressed pulses below two optical cycles can be achieved in a
$\beta$-barium borate crystal at appropriate wavelengths, even for picosecond
input pulses.
|
physics.optics
|
we present a detailed study of soliton compression of ultrashort pulses based on phasemismatched secondharmonic generation textitie the cascaded quadratic nonlinearity in bulk quadratic nonlinear media the singlecycle propagation equations in the temporal domain including higherorder nonlinear terms are presented the balance between the quadratic shg and the cubic kerr nonlinearity plays a crucial role we define an effective soliton number related to the difference between the shg and the kerr soliton numbers and show that it has to be larger than unity for successful pulse compression to take place this requires that the phase mismatch be below a critical level which is high in a material where the quadratic nonlinearity dominates over the cubic kerr nonlinearity through extensive numerical simulations we find dimensionless scaling laws expressed through the effective soliton number which control the behaviour of the compressed pulses these laws hold in the stationary regime in which groupvelocity mismatch effects are small and they are similar to the ones observed for fiber soliton compressors the numerical simulations indicate that clean compressed pulses below two optical cycles can be achieved in a betabarium borate crystal at appropriate wavelengths even for picosecond input pulses
|
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|
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|
706.1508
|
Sequential weak measurement
|
The notion of weak measurement provides a formalism for extracting
information from a quantum system in the limit of vanishing disturbance to its
state. Here we extend this formalism to the measurement of sequences of
observables. When these observables do not commute, we may obtain information
about joint properties of a quantum system that would be forbidden in the usual
strong measurement scenario. As an application, we provide a physically
compelling characterisation of the notion of counterfactual quantum
computation.
|
quant-ph
|
the notion of weak measurement provides a formalism for extracting information from a quantum system in the limit of vanishing disturbance to its state here we extend this formalism to the measurement of sequences of observables when these observables do not commute we may obtain information about joint properties of a quantum system that would be forbidden in the usual strong measurement scenario as an application we provide a physically compelling characterisation of the notion of counterfactual quantum computation
|
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|
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|
706.1509
|
Grassmann Integral Representation for Spanning Hyperforests
|
Given a hypergraph G, we introduce a Grassmann algebra over the vertex set,
and show that a class of Grassmann integrals permits an expansion in terms of
spanning hyperforests. Special cases provide the generating functions for
rooted and unrooted spanning (hyper)forests and spanning (hyper)trees. All
these results are generalizations of Kirchhoff's matrix-tree theorem.
Furthermore, we show that the class of integrals describing unrooted spanning
(hyper)forests is induced by a theory with an underlying OSP(1|2)
supersymmetry.
|
math-ph cond-mat.stat-mech hep-lat math.CO math.MP
|
given a hypergraph g we introduce a grassmann algebra over the vertex set and show that a class of grassmann integrals permits an expansion in terms of spanning hyperforests special cases provide the generating functions for rooted and unrooted spanning hyperforests and spanning hypertrees all these results are generalizations of kirchhoffs matrixtree theorem furthermore we show that the class of integrals describing unrooted spanning hyperforests is induced by a theory with an underlying osp12 supersymmetry
|
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|
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|
706.151
|
Aromatic emission from the ionised mane of the Horsehead nebula
|
We study the evolution of the Aromatic Infrared Bands (AIBs) emitters across
the illuminated edge of the Horsehead nebula and especially their survival and
properties in the HII region. We present spectral mapping observations taken
with the Infrared Spectrograph (IRS) at wavelengths 5.2-38 microns. A strong
AIB at 11.3 microns is detected in the HII region, relative to the other AIBs
at 6.2, 7.7 and 8.6 microns. The intensity of this band appears to be
correlated with the intensity of the [NeII] at 12.8 microns and of Halpha,
which shows that the emitters of the 11.3 microns band are located in the
ionised gas. The survival of PAHs in the HII region could be due to the
moderate intensity of the radiation field (G0 about 100) and the lack of
photons with energy above about 25eV. The enhancement of the intensity of the
11.3 microns band in the HII region, relative to the other AIBs can be
explained by the presence of neutral PAHs. Our observations highlight a
transition region between ionised and neutral PAHs observed with ideal
conditions in our Galaxy. A scenario where PAHs can survive in HII regions and
be significantly neutral could explain the detection of a prominent 11.3
microns band in other Spitzer observations.
|
astro-ph
|
we study the evolution of the aromatic infrared bands aibs emitters across the illuminated edge of the horsehead nebula and especially their survival and properties in the hii region we present spectral mapping observations taken with the infrared spectrograph irs at wavelengths 5238 microns a strong aib at 113 microns is detected in the hii region relative to the other aibs at 62 77 and 86 microns the intensity of this band appears to be correlated with the intensity of the neii at 128 microns and of halpha which shows that the emitters of the 113 microns band are located in the ionised gas the survival of pahs in the hii region could be due to the moderate intensity of the radiation field g0 about 100 and the lack of photons with energy above about 25ev the enhancement of the intensity of the 113 microns band in the hii region relative to the other aibs can be explained by the presence of neutral pahs our observations highlight a transition region between ionised and neutral pahs observed with ideal conditions in our galaxy a scenario where pahs can survive in hii regions and be significantly neutral could explain the detection of a prominent 113 microns band in other spitzer observations
|
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|
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|
706.1511
|
Pulsar Kicks With Modified URCA and Electrons in Landau Levels
|
We derive the energy asymmetry given the proto-neutron star during the time
when the neutrino sphere is near the surface of the proto-neutron star, using
the modified URCA process. The electrons produced with the anti-neutrinos are
in Landau levels due to the strong magnetic field, and this leads to asymmetry
in the neutrino momentum, and a pulsar kick. The magnetic field must be strong
enough for a large fraction of the eletrons to be in the lowest Landau level,
however, there is no direct dependence of our pulsar velocity on the strength
of the magnetic field. Our main prediction is that the large pulsar kicks start
at about 10 s and last for about 10 s, with the corresponding neutrinos
correlated in the direction of the magnetic field. We predict a pulsar velocity
of 1.03 $\times 10^{-4} (T/10^{10}K)^7$ km/s, which reaches 1000 km/s if T
$\simeq 9.96 \times 10^{10}$ K.
|
astro-ph
|
we derive the energy asymmetry given the protoneutron star during the time when the neutrino sphere is near the surface of the protoneutron star using the modified urca process the electrons produced with the antineutrinos are in landau levels due to the strong magnetic field and this leads to asymmetry in the neutrino momentum and a pulsar kick the magnetic field must be strong enough for a large fraction of the eletrons to be in the lowest landau level however there is no direct dependence of our pulsar velocity on the strength of the magnetic field our main prediction is that the large pulsar kicks start at about 10 s and last for about 10 s with the corresponding neutrinos correlated in the direction of the magnetic field we predict a pulsar velocity of 103 times 104 t1010k7 kms which reaches 1000 kms if t simeq 996 times 1010 k
|
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|
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|
706.1512
|
Local stability of ergodic averages
|
The mean ergodic theorem is equivalent to the assertion that for every
function K and every epsilon, there is an n with the property that the ergodic
averages A_m f are stable to within epsilon on the interval [n,K(n)]. We show
that even though it is not generally possible to compute a bound on the rate of
convergence of a sequence of ergodic averages, one can give explicit bounds on
n in terms of K and || f || / epsilon. This tells us how far one has to search
to find an n so that the ergodic averages are "locally stable" on a large
interval. We use these bounds to obtain a similarly explicit version of the
pointwise ergodic theorem, and show that our bounds are qualitatively different
from ones that can be obtained using upcrossing inequalities due to Bishop and
Ivanov. Finally, we explain how our positive results can be viewed as an
application of a body of general proof-theoretic methods falling under the
heading of "proof mining."
|
math.DS math.LO
|
the mean ergodic theorem is equivalent to the assertion that for every function k and every epsilon there is an n with the property that the ergodic averages a_m f are stable to within epsilon on the interval nkn we show that even though it is not generally possible to compute a bound on the rate of convergence of a sequence of ergodic averages one can give explicit bounds on n in terms of k and f epsilon this tells us how far one has to search to find an n so that the ergodic averages are locally stable on a large interval we use these bounds to obtain a similarly explicit version of the pointwise ergodic theorem and show that our bounds are qualitatively different from ones that can be obtained using upcrossing inequalities due to bishop and ivanov finally we explain how our positive results can be viewed as an application of a body of general prooftheoretic methods falling under the heading of proof mining
|
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|
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|
706.1513
|
How to tell a gravastar from a black hole
|
Gravastars have been recently proposed as potential alternatives to explain
the astrophysical phenomenology traditionally associated to black holes,
raising the question of whether the two objects can be distinguished at all.
Leaving aside the debate about the processes that would lead to the formation
of a gravastar and the astronomical evidence in their support, we here address
two basic questions: Is a gravastar stable against generic perturbations? If
stable, can an observer distinguish it from a black hole of the same mass? To
answer these questions we construct a general class of gravastars and determine
the conditions they must satisfy in order to exist as equilibrium solutions of
the Einstein equations. For such models we perform a systematic stability
analysis against axial-perturbations, computing the real and imaginary parts of
the eigenfrequencies. Overall, we find that gravastars are stable to axial
perturbations, but also that their quasi-normal modes differ from those of a
black hole of the same mass and thus can be used to discern, beyond dispute, a
gravastar from a black hole.
|
gr-qc astro-ph
|
gravastars have been recently proposed as potential alternatives to explain the astrophysical phenomenology traditionally associated to black holes raising the question of whether the two objects can be distinguished at all leaving aside the debate about the processes that would lead to the formation of a gravastar and the astronomical evidence in their support we here address two basic questions is a gravastar stable against generic perturbations if stable can an observer distinguish it from a black hole of the same mass to answer these questions we construct a general class of gravastars and determine the conditions they must satisfy in order to exist as equilibrium solutions of the einstein equations for such models we perform a systematic stability analysis against axialperturbations computing the real and imaginary parts of the eigenfrequencies overall we find that gravastars are stable to axial perturbations but also that their quasinormal modes differ from those of a black hole of the same mass and thus can be used to discern beyond dispute a gravastar from a black hole
|
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|
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|
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