162 research outputs found
Generalizing Planck's distribution by using the Carati-Galgani model of molecular collisions
Classical systems of coupled harmonic oscillators are studied using the
Carati-Galgani model. We investigate the consequences for Einstein's conjecture
by considering that the exchanges of energy, in molecular collisions, follows
the L\'evy type statistics. We develop a generalization of Planck's
distribution admitting that there are analogous relations in the equilibrium
quantum statistical mechanics of the relations found using the nonequilibrium
classical statistical mechanics approach. The generalization of Planck's law
based on the nonextensive statistical mechanics formalism is compatible with
the our analysis.Comment: 10 pages, 3 figure
Properties of an equilibrium hadron gas subjected to the adiabatic longitudinal expansion
We consider an ideal gas of massive hadrons in thermal and chemical
equilibrium. The gas expands longitudinally in an adiabatic way. This evolution
for a baryonless gas reduces to a hydrodynamic expansion. Cooling process is
parametrized by the sound velocity. The sound velocity is temperature dependent
and is strongly influenced by hadron mass spectrum.Comment: 7pages, 7 figures-- uucoded file of figures appended at the end,
separated from the paper by lines with many dashe
Dirac Equation in Noncommutative Space for Hydrogen Atom
We consider the energy levels of a hydrogen-like atom in the framework of
-modified, due to space noncommutativity, Dirac equation with Coulomb
field. It is shown that on the noncommutative (NC) space the degeneracy of the
levels and is lifted completely, such that new
transition channels are allowed.Comment: 9 pages, 1 figure; typos correcte
Structure of the Coulomb and unitarity corrections to the cross section of pair production in ultra-relativistic nuclear collisions
We analyze the structure of the Coulomb and unitarity corrections to the
single pair production as well as the cross section for the multiple pair
production. In the external field approximation we consider the probability of
pair production at fixed impact parameter between colliding
ultra-relativistic heavy nuclei. We obtain the analytical result for this
probability at large as compared to the electron Compton wavelength. We
estimate also the unitary corrections to the total cross section of the
process.Comment: 10 pages, 2 figures, RevTeX, references correcte
Hydrodynamics of liquids of arbitrarily curved flux-lines and vortex loops
We derive a hydrodynamic model for a liquid of arbitrarily curved flux-lines
and vortex loops using the mapping of the vortex liquid onto a liquid of
relativistic charged quantum bosons in 2+1 dimensions recently suggested by
Tesanovic and by Sudbo and collaborators. The loops in the flux-line system
correspond to particle-antiparticle fluctuations in the bosons. We explicitly
incorporate the externally applied magnetic field which in the boson model
corresponds to a chemical potential associated with the conserved charge
density of the bosons. We propose this model as a convenient and physically
appealing starting point for studying the properties of the vortex liquid
Static spectroscopy of a dense superfluid
Dense Bose superfluids, as HeII, differ from dilute ones by the existence of
a roton minimum in their excitation spectrum. It is known that this roton
minimum is qualitatively responsible for density oscillations close to any
singularity, such as vortex cores, or close to solid boundaries. We show that
the period of these oscillations, and their exponential decrease with the
distance to the singularity, are fully determined by the position and the width
of the roton minimum. Only an overall amplitude factor and a phase shift are
shown to depend on the details of the interaction potential. Reciprocally, it
allows for determining the characteristics of this roton minimum from static
"observations" of a disturbed ground state, in cases where the dynamics is not
easily accessible. We focus on the vortex example. Our analysis further shows
why the energy of these oscillations is negligible compared to the kinetic
energy, which limits their influence on the vortex dynamics, except for high
curvatures.Comment: 14 pages, 4 figures, extended version, published in J. Low Temp. Phy
SU(N) Quantum Antiferromagnets and the Phase Structure of QED in the Strong Coupling Limit
We examine the strong coupling limit of both compact and non compact QED on a
lattice with staggered fermions. We show that every SU(N) antiferromagnet with
spins in a particular fundamental representation of the SU(N) Lie Algebra and
with nearest neighbor couplings on a bipartite lattice is exactly equivalent to
the infinite coupling limit of lattice QED with the numbers of flavors of
electrons related to N and the dimension of spacetime D+1. We find that,for
both compact and noncompact QED,when N is odd the ground state of the strong
coupling limit breaks chiral symmetry in any dimensions and for any N and the
condensate is an isoscalar mass operator. When N is even,chiral symmetry is
broken if D is bigger or equal to 2 and N is small enough and the order
parameter is an isovector mass operator. We also find the exact ground state of
the lattice Coulomb gas as well as a variety of related lattice statistical
systems with long ranged interactions.Comment: latex, 45 pages, DFUPG 69/9
Shadowing Effects on Vector Boson Production
We explore how nuclear modifications to the nucleon structure functions,
shadowing, affect massive gauge boson production in heavy ion collisions at
different impact parameters. We calculate the dependence of , and
production on rapidity and impact parameter to next-to-leading order in
Pb+Pb collisions at 5.5 TeV/nucleon to study quark shadowing at high . We
also compare our Pb+Pb results to the rapidity distributions at 14 TeV.Comment: 25 pages ReVTeX, 12 .eps figures, NLO included, version accepted for
publication in Physical Review
Amplitude equations near pattern forming instabilities for strongly driven ferromagnets
A transversally driven isotropic ferromagnet being under the influence of a
static external and an uniaxial internal anisotropy field is studied. We
consider the dissipative Landau-Lifshitz equation as the fundamental equation
of motion and treat it in ~dimensions. The stability of the spatially
homogeneous magnetizations against inhomogeneous perturbations is analyzed.
Subsequently the dynamics above threshold is described via amplitude equations
and the dependence of their coefficients on the physical parameters of the
system is determined explicitly. We find soft- and hard-mode instabilities,
transitions between sub- and supercritical behaviour, various bifurcations of
higher codimension, and present a series of explicit bifurcation diagrams. The
analysis of the codimension-2 point where the soft- and hard-mode instabilities
coincide leads to a system of two coupled Ginzburg-Landau equations.Comment: LATeX, 25 pages, submitted to Z.Phys.B figures available via
[email protected] in /pub/publications/frank/zpb_95
(postscript, plain or gziped
Effects of nonorthogonality in the time-dependent current through tunnel junctions
A theoretical technique which allows to include contributions from
non-orthogonality of the electron states in the leads connected to a tunneling
junction is derived. The theory is applied to a single barrier tunneling
structure and a simple expression for the time-dependent tunneling current is
derived showing explicit dependence of the overlap. The overlap proves to be
necessary for a better quantitative description of the tunneling current, and
our theory reproduces experimental results substantially better compared to
standard approaches.Comment: 4 pages, 1 table, 1 figur
- âŠ