Efficient parallelization of the 2D Swendsen-Wang algorithm

R. Hackl, H.-G. Matuttis, J.M. Singer, Th. Husslein and I. Morgenstern

Physica A: Statistical Mechanics and its Applications, 1994, vol. 212, issue 3, 261-276

Abstract: We established a fast Swendsen-Wang algorithm for the two-dimensional Ising model on parallel computers with a high efficiency. On an Intel paragon with 140 processors we reached spin update times of only 14 ns with an efficiency of 89%. This algorithm was used to examine the non-equilibrium relaxation of magnetization and energy in large Ising systems of a size up to 17920 × 17920 spins. Nevertheless we observed still a strong finite-size effect for the magnetization. We assume both magnetization and energy decay to behave like (t + Δ)-λe-bt in an infinitely large system. Thus, for long times magnetization and energy show an exponential, asymtotic time-dependence, implying a critical dynamic exponent z of zero.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:212:y:1994:i:3:p:261-276

DOI: 10.1016/0378-4371(94)90332-8

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