Article

A Fast Serial Algorithm for the Finite Temperature Quenched Potts Model

Computers in Physics
Document Type

Article
Publication Date

1-1-1993
Abstract

An efficient serial algorithm for finite temperature, quenched Potts model simulations of domain evolution has been developed. This ''n‐fold way'' algorithm eliminates unsuccessful spin flip attempts a priori by flipping sites with a frequency proportional to their site activity, defined as the sum of the probability of success for every possible spin flip at that site. Finite temperature efficiency for high‐spin degeneracy systems is achieved by utilizing a new, analytical expression for the portion of the site activity due to flips to non-neighbor spin values. Hence, to determine the activity of a site, only flips to the nearest neighbor spin values need be considered individually; all other flips are evaluated in a single expression. A complexity analysis of this algorithm gives the dependence of computing time on system parameters and on simulation progress. While a conventional Potts model algorithm has a constant computing time per simulation timestep, the n-fold way algorithm increases in efficiency as domain coarsening progresses. Computer experiments confirm the complexity analysis results and indicate that the n-fold way algorithm is much more efficient than the conventional algorithm even at high fractions of the critical temperature.
Disciplines

DOI

10.1063/1.168481
Rights Statement

© 1993 Computers in Physics

Citation Information

Gregory N. Hassold and Elizabeth A. Holm. "A Fast Serial Algorithm for the Finite Temperature Quenched Potts Model" *Computers in Physics*Vol. 7 Iss. 1 (1993) p. 97 - 107

Available at: http://works.bepress.com/gregory-hassold/3/

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