207 research outputs found
Bulk high-Tc superconductors with drilled holes: how to arrange the holes to maximize the trapped magnetic flux ?
Drilling holes in a bulk high-Tc superconductor enhances the oxygen annealing
and the heat exchange with the cooling liquid. However, drilling holes also
reduces the amount of magnetic flux that can be trapped in the sample. In this
paper, we use the Bean model to study the magnetization and the current line
distribution in drilled samples, as a function of the hole positions. A single
hole perturbs the critical current flow over an extended region that is bounded
by a discontinuity line, where the direction of the current density changes
abruptly. We demonstrate that the trapped magnetic flux is maximized if the
center of each hole is positioned on one of the discontinuity lines produced by
the neighbouring holes. For a cylindrical sample, we construct a polar
triangular hole pattern that exploits this principle; in such a lattice, the
trapped field is ~20% higher than in a squared lattice, for which the holes do
not lie on discontinuity lines. This result indicates that one can
simultaneously enhance the oxygen annealing, the heat transfer, and maximize
the trapped field
Damping rate of plasmons and photons in a degenerate nonrelativistic plasma
A calculation is presented of the plasmon and photon damping rates in a dense
nonrelativistic plasma at zero temperature, following the resummation program
of Braaten-Pisarski. At small soft momentum , the damping is dominated by scattering processes corresponding to double longitudinal Landau
damping. The dampings are proportional to , where
is the Fermi velocity.Comment: 9 pages, 2 figure
Nonequilibrium Dynamics of Optical Lattice-Loaded BEC Atoms: Beyond HFB Approximation
In this work a two-particle irreducible (2PI) closed-time-path (CTP)
effective action is used to describe the nonequilibrium dynamics of a Bose
Einstein condensate (BEC) selectively loaded into every third site of a
one-dimensional optical lattice. The motivation of this work is the recent
experimental realization of this system at National Institute of Standards and
Technology (NIST) where the placement of atoms in an optical lattice is
controlled by using an intermediate superlattice. Under the 2PI CTP scheme with
this initial configuration, three different approximations are considered: a)
the Hartree-Fock-Bogoliubov (HFB) approximation, b) the next-to-leading order
1/ expansion of the 2PI effective action up to second order in the
interaction strength and c) a second order perturbative expansion in the
interaction strength. We present detailed comparisons between these
approximations and determine their range of validity by contrasting them with
the exact many body solution for a moderate number of atoms and wells. As a
general feature we observe that because the second order 2PI approximations
include multi-particle scattering in a systematic way, they are able to capture
damping effects exhibited in the exact solution that a mean field collisionless
approach fails to produce. While the second order approximations show a clear
improvement over the HFB approximation our numerical result shows that they do
not work so well at late times, when interaction effects are significant.Comment: 34 pages, 7 figure
HTL Resummation of the Thermodynamic Potential
Starting from the Phi-derivable approximation scheme at leading-loop order,
the thermodynamical potential in a hot scalar theory, as well as in QED and
QCD, is expressed in terms of hard thermal loop propagators. This
nonperturbative approach is consistent with the leading-order perturbative
results, ultraviolet finite, and, for gauge theories, explicitly
gauge-invariant. For hot QCD it is argued that the resummed approximation is
applicable in the large-coupling regime, down to almost twice the transition
temperature.Comment: minor changes, to appear in PRD, 27 pages, 15 eps figure
The entropy of the QCD plasma
Self-consistent approximations in terms of fully dressed propagators provide
a simple expression for the entropy of an ultrarelativistic plasma, which
isolates the contribution of the elementary excitations as a leading
contribution. Further approximations, whose validity is checked on a soluble
model involving a scalar field, allow us to calculate the entropy of the QCD
plasma. We obtain an accurate description of lattice data for purely gluonic
QCD, down to temperatures of about twice the transition temperature.Comment: 12 pages, 3 figures, REVTEX (minor modifications
Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD
In the presence of a non-vanishing chemical potential the eigenvalues of the Dirac operator become complex. We calculate spectral correlation functions of complex eigenvalues using a random matrix model approach. Our results apply to non-Hermitian Dirac operators in three-dimensional QCD with broken flavor symmetry and in four-dimensional QCD in the bulk of the spectrum. The derivation follows earlier results of Fyodorov, Khoruzhenko and Sommers for complex spectra exploiting the existence of orthogonal polynomials in the complex plane. Explicit analytic expressions are given for all microscopic k-point correlation functions in the presence of an arbitrary even number of massive quarks, both in the limit of strong and weak non-Hermiticity. In the latter case the parameter governing the non-Hermiticity of the Dirac matrices is identified with the influence of the chemical potential
Meson Exchange Effect on Color Superconductivity
We investigate the effects of pion and gluon exchanges on the formation of
two-flavor color superconductivity at moderate density, . The
chiral quark model proposed by Manohar and Georgi containing pions as well as
gluons is employed to show that the pion exchange reduces substantially the
value of the superconducting gap gotten with the gluon exchange only. It turns
out that the pion exchanges produce a repulsion between quark-quark pair in a
spin and isospin singlet state.
We suggest that the phase consisiting of pions, gluons and quarks is one of
the candidates of in-medium QCD phase at moderate density.Comment: 8 pages, 1 figure, minor correction
A first order transition and parity violation in a color superconductor
In cold, dense quark matter, quarks of different flavor can form Cooper pairs
which are anti-triplets under color and have total spin J=0. The transition to
a phase where strange quarks condense with either up or down quarks is driven
first order by the Coleman-Weinberg mechanism. At densities sufficiently high
to (effectively) restore the axial U(1) symmetry, then relative to the ordinary
vacuum, the condensation of up with down quarks (effectively) breaks parity
spontaneously.Comment: 4 pages, ReVTeX, final versio
Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
We propose a gauge-invariant and manifestly UV finite resummation of the
physics of hard thermal/dense loops (HTL/HDL) in the thermodynamics of the
quark-gluon plasma. The starting point is a simple, effectively one-loop
expression for the entropy or the quark density which is derived from the fully
self-consistent two-loop skeleton approximation to the free energy, but subject
to further approximations, whose quality is tested in a scalar toy model. In
contrast to the direct HTL/HDL-resummation of the one-loop free energy, in our
approach both the leading-order (LO) and the next-to-leading order (NLO)
effects of interactions are correctly reproduced and arise from kinematical
regimes where the HTL/HDL are justifiable approximations. The LO effects are
entirely due to the (asymptotic) thermal masses of the hard particles. The NLO
ones receive contributions both from soft excitations, as described by the
HTL/HDL propagators, and from corrections to the dispersion relation of the
hard excitations, as given by HTL/HDL perturbation theory. The numerical
evaluations of our final expressions show very good agreement with lattice data
for zero-density QCD, for temperatures above twice the transition temperature.Comment: 62 pages REVTEX, 14 figures; v2: numerous clarifications, sect. 2C
shortened, new material in sect. 3C; v3: more clarifications, one appendix
removed, alternative implementation of the NLO effects, corrected eq. (5.16
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