39,340 research outputs found
Diffusion in a continuum model of self-propelled particles with alignment interaction
In this paper, we provide the corrections to the hydrodynamic
model derived by Degond and Motsch from a kinetic version of the model by
Vicsek & coauthors describing flocking biological agents. The parameter
stands for the ratio of the microscopic to the macroscopic scales.
The corrected model involves diffusion terms in both the mass and
velocity equations as well as terms which are quadratic functions of the first
order derivatives of the density and velocity. The derivation method is based
on the standard Chapman-Enskog theory, but is significantly more complex than
usual due to both the non-isotropy of the fluid and the lack of momentum
conservation
Collective Dynamics of Random Polyampholytes
We consider the Langevin dynamics of a semi-dilute system of chains which are
random polyampholytes of average monomer charge and with a fluctuations in
this charge of the size and with freely floating counter-ions in the
surrounding. We cast the dynamics into the functional integral formalism and
average over the quenched charge distribution in order to compute the dynamic
structure factor and the effective collective potential matrix. The results are
given for small charge fluctuations. In the limit of finite we then find
that the scattering approaches the limit of polyelectrolyte solutions.Comment: 13 pages including 6 figures, submitted J. Chem. Phy
Estimates of isospin breaking contributions to baryon masses
We estimate the isospin breaking contributions to the baryon masses which we
analyzed recently using a loop expansion in the heavy baryon approximation to
chiral effective field theory. To one loop, the isospin breaking corrections
come from the effects of the quark mass difference, the Coulomb and
magnetic moment interactions, and effective point interactions attributable to
color-magnetic effects. The addition of the first meson loop corrections
introduces new structure. We estimate the resulting low-energy, long-range
contributions to the mass splittings by regularizing the loop integrals using
connections to dynamical models for finite-size baryons. We find that the
resulting contributions to the isospin breaking corrections are of the right
general size, have the correct sign pattern, and agree with the experimental
values within the margin of error.Comment: 15 pages, 5 figures; changed title and conten
Conformational Instability of Rodlike Polyelectrolytes due to Counterion Fluctuations
The effective elasticity of highly charged stiff polyelectrolytes is studied
in the presence of counterions, with and without added salt. The rigid polymer
conformations may become unstable due to an effective attraction induced by
counterion density fluctuations. Instabilities at the longest, or intermediate
length scales may signal collapse to globule, or necklace states, respectively.
In the presence of added-salt, a generalized electrostatic persistence length
is obtained, which has a nontrivial dependence on the Debye screening length.
It is also found that the onset of conformational instability is a re-entrant
phenomenon as a function of polyelectrolyte length for the unscreened case, and
the Debye length or salt concentration for the screened case. This may be
relevant in understanding the experimentally observed re-entrant condensation
of DNA.Comment: 8 pages, 4 figure
Linear Superiorization for Infeasible Linear Programming
Linear superiorization (abbreviated: LinSup) considers linear programming
(LP) problems wherein the constraints as well as the objective function are
linear. It allows to steer the iterates of a feasibility-seeking iterative
process toward feasible points that have lower (not necessarily minimal) values
of the objective function than points that would have been reached by the same
feasiblity-seeking iterative process without superiorization. Using a
feasibility-seeking iterative process that converges even if the linear
feasible set is empty, LinSup generates an iterative sequence that converges to
a point that minimizes a proximity function which measures the linear
constraints violation. In addition, due to LinSup's repeated objective function
reduction steps such a point will most probably have a reduced objective
function value. We present an exploratory experimental result that illustrates
the behavior of LinSup on an infeasible LP problem.Comment: arXiv admin note: substantial text overlap with arXiv:1612.0653
Spin-Charge Separation at Finite Temperature in the Supersymmetric t-J Model with Long-Range Interactions
Thermodynamics is derived rigorously for the 1D supersymmetric {\it t-J}
model and its SU() generalization with inverse-square exchange. The system
at low temperature is described in terms of spinons, antispinons, holons and
antiholons obeying fractional statistics. They are all free and make the spin
susceptibility independent of electron density, and the charge susceptibility
independent of magnetization. Thermal spin excitations responsible for the
entropy of the SU() model are ascribed to free para-fermions of order
.Comment: 10 pages, REVTE
Size dependent line broadening in the emission spectra of single GaAs quantum dots: Impact of surface charges on spectral diffusion
Making use of droplet epitaxy, we systematically controlled the height of
self-assembled GaAs quantum dots by more than one order of magnitude. The
photoluminescence spectra of single quantum dots revealed the strong dependence
of the spectral linewidth on the dot height. Tall dots with a height of ~30 nm
showed broad spectral peaks with an average width as large as ~5 meV, but
shallow dots with a height of ~2 nm showed resolution-limited spectral lines
(<120 micro eV). The measured height dependence of the linewidths is in good
agreement with Stark coefficients calculated for the experimental shape
variation. We attribute the microscopic source of fluctuating electric fields
to the random motion of surface charges at the vacuum-semiconductor interface.
Our results offer guidelines for creating frequency-locked photon sources,
which will serve as key devices for long-distance quantum key distribution.Comment: 6 pages, 6 figures; updated figs and their description
Combinatorial interpretation of Haldane-Wu fractional exclusion statistics
Assuming that the maximal allowed number of identical particles in state is
an integer parameter, q, we derive the statistical weight and analyze the
associated equation which defines the statistical distribution. The derived
distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases
q = 1 and q -> infinity (n_i/q -> 1), respectively. We show that the derived
statistical weight provides a natural combinatorial interpretation of
Haldane-Wu fractional exclusion statistics, and present exact solutions of the
distribution equation.Comment: 8 pages, 2 eps-figure
Collapse of Stiff Polyelectrolytes due to Counterion Fluctuations
The effective elasticity of highly charged stiff polyelectrolytes is studied
in the presence of counterions, with and without added salt. The rigid polymer
conformations may become unstable due to an effective attraction induced by
counterion density fluctuations. Instabilities at the longest, or intermediate
length scales may signal collapse to globule, or necklace states, respectively.
In the presence of added-salt, a generalized electrostatic persistence length
is obtained, which has a nontrivial dependence on the Debye screening length.Comment: 4 pages RevTex, 3 ps figures included using epsf, final version as
appeared in PR
Prevalence of knee bursitis in the workforce
BACKGROUND: Knee bursitis (KB) is a common disorder in specific occupations requiring frequent and/or sustained kneeling postures.AIMS: To assess the prevalence of KB in the general working population. METHODS: Between 2002 and 2005, a total of 3710 workers of a French region were randomly included in the study. A standardized physical examination of the knee was performed when knee pain was reported by the worker during the preceding 12 months. The criteria for diagnosis of KB were (i) the presence of pain and/or tenderness in the anterior face of the knee at the date of the examination (or for at least 4 days in the preceding week) and (ii) the presence of swelling and/or pressure-induced pain of the pre- or infra-patellar bursa. Occupational risk factors were assessed by a self-administered questionnaire. RESULTS: The prevalence of uni- or bilateral cases of knee bursitis was low: 0.6% [0.2-0.9] in men and 0.2% [0.0-0.6] in women. The highest prevalence was observed in the construction sector (2.3% [0.8-5.4]) and in the food and meat processing industries (1.4% [0.4-3.5)]. More blue-collar workers were affected than other occupation categories (0.8% [0.3-1.2] versus 0.1% [0.0-0.4]). CONCLUSIONS: The study showed a concentration of cases among male workers exposed to heavy workloads and frequent kneeling
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