5,795 research outputs found
Current-voltage characteristics of the two-dimensional XY model with Monte Carlo dynamics
Current-voltage characteristics and the linear resistance of the
two-dimensional XY model with and without external uniform current driving are
studied by Monte Carlo simulations. We apply the standard finite-size scaling
analysis to get the dynamic critical exponent at various temperatures. From
the comparison with the resistively-shunted junction dynamics, it is concluded
that is universal in the sense that it does not depend on details of
dynamics. This comparison also leads to the quantification of the time in the
Monte Carlo dynamic simulation.Comment: 5 pages in two columns including 5 figures, to appear in PR
Nonperturbative QCD Vacuum Effects in Nonlocal Quark Dynamics
A straightforward calculation reveals the essentially nonlocal character of
the leading heavy interaction arising from nonperturbative gluon
field correlations in the model of a fluctuating QCD vacuum. In light of this
quarkonium spin splitting ratio predictions which have supported the scalar
confinement ansatz are reconsidered as a specific example of possible
consequences for spectroscopy.Comment: Latex, 9 page
Collapse of the vortex-lattice inductance and shear modulus at the melting transition in untwinned
The complex resistivity of the vortex lattice in an
untwinned crystal of 93-K has been measured at frequencies
from 100 kHz to 20 MHz in a 2-Tesla field ,
using a 4-probe RF transmission technique that enables continuous measurements
versus and temperature . As is increased, the inductance increases steeply to a cusp
at the melting temperature , and then undergoes a steep collapse
consistent with vanishing of the shear modulus . We discuss in detail
the separation of the vortex-lattice inductance from the `volume' inductance,
and other skin-depth effects. To analyze the spectra, we consider a weakly
disordered lattice with a low pin density. Close fits are obtained to
over 2 decades in . Values of the pinning parameter
and shear modulus obtained show that collapses by
over 4 decades at , whereas remains finite.Comment: 11 pages, 8 figures, Phys. Rev. B, in pres
Dynamic Simulations of the Kosterlitz-Thouless Phase Transition
Based on the short-time dynamic scaling form, a novel dynamic approach is
proposed to tackle numerically the Kosterlitz-Thouless phase transition. Taking
the two-dimensional XY model as an example, the exponential divergence of the
spatial correlation length, the transition temperature and all
critical exponents are computed. Compared with Monte Carlo simulations in
equilibrium, we obtain data at temperatures nearer to .Comment: to appear in Phys. Rev. E in Rapid Communicatio
Numerical study of the strongly screened vortex glass model in an external field
The vortex glass model for a disordered high-T_c superconductor in an
external magnetic field is studied in the strong screening limit. With exact
ground state (i.e. T=0) calculations we show that 1) the ground state of the
vortex configuration varies drastically with infinitesimal variations of the
strength of the external field, 2) the minimum energy of global excitation
loops of length scale L do not depend on the strength of the external field,
however 3) the excitation loops themself depend sensibly on the field. From 2)
we infer the absence of a true superconducting state at any finite temperature
independent of the external field.Comment: 6 pages RevTeX, 5 eps-figures include
Application of a minimum cost flow algorithm to the three-dimensional gauge glass model with screening
We study the three-dimensional gauge glass model in the limit of strong
screening by using a minimum cost flow algorithm, enabling us to obtain EXACT
ground states for systems of linear size L<=48. By calculating the domain-wall
energy, we obtain the stiffness exponent theta = -0.95+/-0.03, indicating the
absence of a finite temperature phase transition, and the thermal exponent
nu=1.05+/-0.03. We discuss the sensitivity of the ground state with respect to
small perturbations of the disorder and determine the overlap length, which is
characterized by the chaos exponent zeta=3.9+/-0.2, implying strong chaos.Comment: 4 pages RevTeX, 2 eps-figures include
Critical dynamics in the 2d classical XY-model: a spin dynamics study
Using spin-dynamics techniques we have performed large-scale computer
simulations of the dynamic behavior of the classical three component XY-model
(i.e. the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square
lattices of size up to 192^2, for several temperatures below, at, and above
T_KT. The temporal evolution of spin configurations was determined numerically
from coupled equations of motion for individual spins by a fourth order
predictor-corrector method, with initial spin configurations generated by a
hybrid Monte Carlo algorithm. The neutron scattering function S(q,omega) was
calculated from the resultant space-time displaced spin-spin correlation
function. Pronounced spin-wave peaks were found both in the in-plane and the
out-of-plane scattering function over a wide range of temperatures. The
in-plane scattering function S^xx also has a large number of clear but weak
additional peaks, which we interpret to come from two-spin-wave scattering. In
addition, we observed a small central peak in S^xx, even at temperatures well
below the phase transition. We used dynamic finite size scaling theory to
extract the dynamic critical exponent z. We find z=1.00(4) for all T <= T_KT,
in excellent agreement with theoretical predictions, although the shape of
S(q,omega) is not well described by current theory.Comment: 31 pages, LaTex, 13 figures (38 subfigures) included as eps-files,
needs psfig, 260 K
Monte Carlo study of the Villain version of the fully frustrated XY model
The fully frustrated XY model with Villain interaction on a square lattice is
studied by means of Monte Carlo simulations. On the basis of the universal jump
condition it is argued that there are two distinct transitions in the model,
corresponding to the loss of XY order and Z_2 order, respectively. The
Kosterlitz-Thouless (KT) transition is analyzed by finite size scaling of the
helicity modulus at lattices of size L = 32 through 128, giving T_KT =
0.8108(1). The vorticity-vorticity correlation function is used to determine
two different characteristic lengths, the Z_2 correlation length \xi, and the
screening length \lambda, associated with the KT transition and free vortices.
The temperature dependence of \xi is examined in order to determine T_c and the
correlation length exponent, \nu. The exponent is found to be consistent with
the 2D Ising value, \nu = 1, and the obtained critical temperature is T_c =
0.8225(5). The determinations of both \xi and \nu are done carefully, first
applying the techniques to the 2D Ising model, which serves as a convenient
testing ground.Comment: 56 pages, 31 sub-figures, submitted to Phys Rev
Order parameter for two-dimensional critical systems with boundaries
Conformal transformations can be used to obtain the order parameter for
two-dimensional systems at criticality in finite geometries with fixed boundary
conditions on a connected boundary. To the known examples of this class (such
as the disk and the infinite strip) we contribute the case of a rectangle. We
show that the order parameter profile for simply connected boundaries can be
represented as a universal function (independent of the criticality model)
raised to the power eta/2. The universal function can be determined from the
Gaussian model or equivalently a problem in two-dimensional electrostatics. We
show that fitting the order parameter profile to the theoretical form gives an
accurate route to the determination of eta. We perform numerical simulations
for the Ising model and percolation for comparison with these analytic
predictions, and apply this approach to the study of the planar rotor model.Comment: 10 pages, 14 figures. Revisions: Removed many typos, improved
presentation of most of the figure
A Gauge Invariant Unitary Theory for Pion Photoproduction
A covariant, unitary and gauge invariant theory for pion photoproduction on a
single nucleon is presented. To achieve gauge invariance at the operator level
one needs to include both the and thresholds. The final
amplitude can be written in terms of a distorted wave in the final
channel provided one includes additional diagrams to the standard Born term in
which the photon is coupled to the final state pion and nucleon. These
additional diagrams are required in order to satisfy gauge invariance.Comment: 4 pages, LaTeX, 1 figure as a separate uuencoded compressed tar fil
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