3,234 research outputs found
Non equilibrium dynamics below the super-roughening transition
The non equilibrium relaxational dynamics of the solid on solid model on a
disordered substrate and the Sine Gordon model with random phase shifts is
studied numerically. Close to the super-roughening temperature our
results for the autocorrelations, spatial correlations and response function as
well as for the fluctuation dissipation ratio (FDR) agree well with the
prediction of a recent one loop RG calculation, whereas deep in the glassy low
temperature phase substantial deviations occur. The change in the low
temperature behavior of these quantities compared with the RG predictions is
shown to be contained in a change of the functional temperature dependence of
the dynamical exponent , which relates the age of the system with a
length scale : changes from a linear -dependence close
to to a 1/T-behavior far away from . By identifying spatial domains
as connected patches of the exactly computable ground states of the system we
demonstrate that the growing length scale is the characteristic
size of thermally fluctuating clusters around ``typical'' long-lived
configurations.Comment: RevTex
On the Use of Finite-Size Scaling to Measure Spin-Glass Exponents
Finite-size scaling (FSS) is a standard technique for measuring scaling
exponents in spin glasses. Here we present a critique of this approach,
emphasizing the need for all length scales to be large compared to microscopic
scales. In particular we show that the replacement, in FSS analyses, of the
correlation length by its asymptotic scaling form can lead to apparently good
scaling collapses with the wrong values of the scaling exponents.Comment: RevTeX, 5 page
Quantum simulations of the superfluid-insulator transition for two-dimensional, disordered, hard-core bosons
We introduce two novel quantum Monte Carlo methods and employ them to study
the superfluid-insulator transition in a two-dimensional system of hard-core
bosons. One of the methods is appropriate for zero temperature and is based
upon Green's function Monte Carlo; the other is a finite-temperature world-line
cluster algorithm. In each case we find that the dynamical exponent is
consistent with the theoretical prediction of by Fisher and co-workers.Comment: Revtex, 10 pages, 3 figures (postscript files attached at end,
separated by %%%%%% Fig # %%%%%, where # is 1-3). LA-UR-94-270
Statistics of lowest excitations in two dimensional Gaussian spin glasses
A detailed investigation of lowest excitations in two-dimensional Gaussian
spin glasses is presented. We show the existence of a new zero-temperature
exponent lambda describing the relative number of finite-volume excitations
with respect to large-scale ones. This exponent yields the standard thermal
exponent of droplet theory theta through the relation, theta=d(lambda-1). Our
work provides a new way to measure the thermal exponent theta without any
assumption about the procedure to generate typical low-lying excitations. We
find clear evidence that theta < theta_{DW} where theta_{DW} is the thermal
exponent obtained in domain-wall theory showing that MacMillan excitations are
not typical.Comment: 4 pages, 3 figures, (v2) revised version, (v3) corrected typo
X-ray Spectral Diagnostics of Gamma-Ray Burst Environments
Recently, the detection of discrete features in the X-ray afterglow spectra
of GRB970508 and GRB970828 was reported. The most natural interpretation of
these features is that they are redshifted Fe K emission complexes. The
identification of the line emission mechanism has drastic implications for the
inferred mass of radiating material, end hence the nature of the burst site.
X-ray spectroscopy provides a direct observational constraint on these
properties of gamma-ray bursters. We briefly discuss how these constraints
arise, in the context of an application to the spectrum of GRB970508.Comment: 11 pages, 2 figures, accepted for publication in ApJ Letter
Kosterlitz-Thouless transition of quantum XY model in two dimensions
The two-dimensional XY model is investigated with an extensive
quantum Monte Carlo simulation. The helicity modulus is precisely estimated
through a continuous-time loop algorithm for systems up to
near and below the critical temperature. The critical temperature is estimated
as . The obtained estimates for the helicity modulus
are well fitted by a scaling form derived from the Kosterlitz renormalization
group equation. The validity of the Kosterlitz-Thouless theory for this model
is confirmed.Comment: 8 pages, 2 tables, 6 figure
Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
We study the three-dimensional Edwards-Anderson model with binary
interactions by Monte Carlo simulations. Direct evidence of finite-size scaling
is provided, and the universal finite-size scaling functions are determined.
Monte Carlo data are extrapolated to infinite volume with an iterative
procedure up to correlation lengths xi \approx 140. The infinite volume data
are consistent with a conventional power law singularity at finite temperature
Tc. Taking into account corrections to scaling, we find Tc = 1.156 +/- 0.015,
nu = 1.8 +/- 0.2 and eta = -0.26 +/- 0.04. The data are also consistent with an
exponential singularity at finite Tc, but not with an exponential singularity
at zero temperature.Comment: 4 pages, Revtex, 4 postscript figures include
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