6533b85ffe1ef96bd12c2475

RESEARCH PRODUCT

System size dependence of the autocorrelation time for the Swendsen-Wang Ising model

Dieter W. HeermannAnthony N. Burkitt

subject

Statistics and ProbabilityComputer simulationCritical point (thermodynamics)AutocorrelationMonte Carlo methodSquare-lattice Ising modelIsing modelStatistical physicsCondensed Matter PhysicsPower lawMathematicsExponential function

description

Abstract We present Monte Carlo simulation results of the autocorrelation time for the Swendsen-Wang method for the simulation of the Ising model. We have calculated the exponential and the integrated autocorrelation time at the critical point T c of the two-dimensional Ising model. Our results indicate that both autocorrelation times depend logarithmically on the linear system size L instead of a power law. The simulations were carried out on the parallel computer of the condensed matter theory group at the University of Mainz.

yearjournalcountryeditionlanguage
1990-01-01Physica A: Statistical Mechanics and its Applications
https://doi.org/10.1016/0378-4371(90)90439-y