International Journal of Modern Physics C

LOGARITHMIC FACTORS IN THE DYNAMICS OF THE FOUR-DIMENSIONAL ISING MODEL

Dietrich Stauffer

Published Aug 1, 1994• 7 citations

Abstract

Simulations at the critical point for short times t agree in part with the expected logarithmic powers for systems up to 3364.

DOI: 10.1142/s0129183194000829

Related papers

Critical Behavior of the Ising Model Close to Four Dimensions

Peter Kopietz, Lorenz Bartosch, Florian Schütz

Lecture notes in physicsDec 25, 20090 citations

DYNAMICAL CRITICAL BEHAVIOR OF THE FOUR-DIMENSIONAL ISING MODEL

Joan Adler, Dietrich Stauffer

Monte Carlo simulations of the Glauber dynamics in the four-dimensional Ising model with up to 3124 spins agree with the theoretically expected logarithmic corrections to mean field behavior, if we assume J/kBTc = 0.14970, consistent with some series analysis.

International Journal of Modern Physics CDec 1, 19966 citations

Dynamics of the Ising Model near the Critical Point

Masuo Suzuki, 英雄猪狩

Jul 20, 19680 citations

SHORT-TIME CRITICAL DYNAMICS OF MULTISPIN INTERACTION ISING MODEL IN TWO DIMENSIONS

L. WANG, J. B. Zhang, H. P. Ying +1 more

We investigated the short-time dynamics of a multispin model in two dimensions. A dynamical Monte Carlo simulation which avoids the critical slowing down is performed at critical temperature and the short-time dynamic scaling behavior is found. By using the universal power-law scaling features, the critical exponents θ, z and 2β/ν are estimated in our calculations.

Modern Physics Letters BDec 10, 19994 citations

CRITICAL DYNAMICS OF THE ISING MODEL WITH ISING MACHINE

N. Ito, Makoto Taiji, Masuo Suzuki

The dynamical critical exponent z of he two-dimensional Ising model with sequential-flip heat-bath dynamics is numerically estimated to be 2.2, which agrees with that of Metropolis dynamics. The dedicated machine "m-TIS", designed and constructed by the present authors is used for the simulations.

Le Journal de Physique ColloquesDec 1, 19882 citations

The dynamical critical exponent of the two-, three- and five-dimensional kinetic Ising model

Christian Münkel, Dieter W. Heermann, Joan Adler +2 more

Physica A Statistical Mechanics and its ApplicationsApr 1, 199369 citations