21,497 research outputs found
On anomalous diffusion in a plasma in velocity space
The problem of anomalous diffusion in momentum space is considered for
plasma-like systems on the basis of a new collision integral, which is
appropriate for consideration of the probability transition function (PTF) with
long tails in momentum space. The generalized Fokker-Planck equation for
description of diffusion (in momentum space) of particles (ions, grains etc.)
in a stochastic system of light particles (electrons, or electrons and ions,
respectively) is applied to the evolution of the momentum particle distribution
in a plasma. In a plasma the developed approach is also applicable to the
diffusion of particles with an arbitrary mass relation, due to the small
characteristic momentum transfer. The cases of an exponentially decreasing in
momentum space (including the Boltzmann-like) kernel in the PT-function, as
well as the more general kernels, which create the anomalous diffusion in
velocity space due to the long tail in the PT-function, are considered.
Effective friction and diffusion coefficients for plasma-like systems are
found.Comment: 18 pages, no figure
Consistent Group and Coset Reductions of the Bosonic String
Dimensional reductions of pure Einstein gravity on cosets other than tori are
inconsistent. The inclusion of specific additional scalar and p-form matter can
change the situation. For example, a D-dimensional Einstein-Maxwell-dilaton
system, with a specific dilaton coupling, is known to admit a consistent
reduction on S^2= SU(2)/U(1), of a sort first envisaged by Pauli. We provide a
new understanding, by showing how an S^3=SU(2) group-manifold reduction of
(D+1)-dimensional Einstein gravity, of a type first indicated by DeWitt, can be
broken into in two steps; a Kaluza-type reduction on U(1) followed by a
Pauli-type coset reduction on S^2. More generally, we show that any
D-dimensional theory that itself arises as a Kaluza U(1) reduction from (D+1)
dimensions admits a consistent Pauli reduction on any coset of the form G/U(1).
Extensions to the case G/H are given. Pauli coset reductions of the bosonic
string on G= (G\times G)/G are believed to be consistent, and a consistency
proof exists for S^3=SO(4)/SO(3). We examine these reductions, and arguments
for consistency, in detail. The structures of the theories obtained instead by
DeWitt-type group-manifold reductions of the bosonic string are also studied,
allowing us to make contact with previous such work in which only singlet
scalars are retained. Consistent truncations with two singlet scalars are
possible. Intriguingly, despite the fact that these are not supersymmetric
models, if the group manifold has dimension 3 or 25 they admit a superpotential
formulation, and hence first-order equations yielding domain-wall solutions.Comment: Latex, 5 figures, 45 pages, minor correction
Multidimensional Cosmology: Spatially Homogeneous models of dimension 4+1
In this paper we classify all 4+1 cosmological models where the spatial
hypersurfaces are connected and simply connected homogeneous Riemannian
manifolds. These models come in two categories, multiply transitive and simply
transitive models. There are in all five different multiply transitive models
which cannot be considered as a special case of a simply transitive model. The
classification of simply transitive models, relies heavily upon the
classification of the four dimensional (real) Lie algebras. For the orthogonal
case, we derive all the equations of motion and give some examples of exact
solutions. Also the problem of how these models can be compactified in context
with the Kaluza-Klein mechanism, is addressed.Comment: 24 pages, no figures; Refs added, typos corrected. To appear in CQ
Geometrical features of (4+d) gravity
We obtain the vacuum spherical symmetric solutions for the gravitational
sector of a (4+d)-dimensional Kaluza-Klein theory. In the various regions of
parameter space, the solutions can describe either naked singularities or
black-holes or wormholes. We also derive, by performing a conformal rescaling,
the corresponding picture in the four-dimensional space-time.Comment: 10 pages, LateX2e, to appear in Phys.Rev.
Variable rest masses in 5-dimensional gravitation confronted with experimental data
Cosmological solutions of Einstein equation for a \mbox{5-dimensional}
space-time, in the case of a dust-filled universe, are presented. With these
solutions we are able to test a hypothetical relation between the rest mass of
a particle and the dimension. Comparison with experiment strongly
refutes the implied dependence of the rest mass on the cosmological time.Comment: Some references adde
Electronic Raman scattering in YBCO and other superconducting cuprates
Superconductivity induced structures in the electronic Raman spectra of
high-Tc superconductors are computed using the results of ab initio LDA-LMTO
three-dimensional band structure calculations via numerical integrations of the
mass fluctuations, either in the whole 3D Brillouin zone or limiting the
integrations to the Fermi surface. The results of both calculations are rather
similar, the Brillouin zone integration yielding additional weak structures
related to the extended van Hove singularities. Similar calculations have been
performed for the normal state of these high-Tc cuprates. Polarization
configurations have been investigated and the results have been compared to
experimental spectra. The assumption of a simple d_(x^2-y^2)-like gap function
allows us to explain a number of experimental features but is hard to reconcile
with the relative positions of the A1g and B1g peaks.Comment: 14 pages, LaTeX (RevTeX), 5 PostScript figures, uses multicol.sty,
submitted to PR
A Solution to the Hierarchy Problem with an Infinitely Large Extra Dimension and Moduli Stabilization
We construct a class of solutions to the Einstein's equations for dimensions
greater than or equal to six. These solutions are characterized by a
non-trivial warp factor and possess a non-compact extra dimension. We study in
detail a simple model in six dimensions containing two four branes. One of each
brane's four spatial directions is compactified. The hierarchy problem is
resolved by the enormous difference between the warp factors at the positions
of the two branes, with the standard model fields living on the brane with
small warp factor. Both branes can have positive tensions. Their positions, and
the size of the compact dimension are determined in terms of the fundamental
parameters of the theory by a combination of two independent and comparable
effects---an anisotropic contribution to the stress tensor of each brane from
quantum fields living on it and a contribution to the stress tensor from a bulk
scalar field. One overall fine tuning of the parameters of the theory is
required ---that for the cosmological constant.Comment: 16 pages 1 figure. Conclusion about naturalness of hierarchy without
bulk interactions changed. Section added on obtaining a natural hierarchy
with bulk scalar field. References added. Minor editin
Phonon and Elastic Instabilities in MoC and MoN
We present several results related to the instability of MoC and MoN in the
B1 (sodium chloride) structure. These compounds were proposed as potential
superconductors with moderately high transition temperatures. We show that the
elastic instability in B1-structure MoN, demonstrated several years ago,
persists at elevated pressures, thus offering little hope of stabilizing this
material without chemical doping. For MoC, another material for which
stoichiometric fabrication in the B1-structure has not proven possible, we find
that all of the cubic elastic constants are positive, indicating elastic
stability. Instead, we find X-point phonon instabilities in MoC (and in MoN as
well), further illustrating the rich behavior of carbo-nitride materials. We
also present additional electronic structure results for several transition
metal (Zr, Nb and Mo) carbo-nitride systems and discuss systematic trends in
the properties of these materials. Deviations from strict electron counting
dependencies are apparent.Comment: 5 pages and 4 trailing figures. Submitted to PR
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