2012 ACM/IEEE/SCS 26th Workshop on Principles of Advanced and Distributed Simulation (2001)

Lake Arrowhead, California

May 15, 2001 to May 18, 2001

ISSN: 1087-4097

ISBN: 0-7695-1104-X

pp: 185

Alan Weiss , Bell Labs

Boris Lubachevsky , Bell Labs

ABSTRACT

A new parallel algorithm for simulating Ising spin systems is presented. The sequential prototype is the n-fold way algorithm [2], which is efficient but is hard to parallelize using conservative methods. Our parallel algorithm is optimistic. Unlike other optimistic algorithms, e.g., Time Warp, our algorithm is synchronous. It also belongs to the class of simulations known as "relaxation" [3]; hence it is named "synchronous relaxation." We derive performance guarantees for this algorithm. If N is the number of PEs, then under weak assumptions we show that the number of correct events processed per unit of time is, on average, at least of order N=log N. All communication delays, processing time, and busy waits are taken into account.

INDEX TERMS

conservative simulation, optimistic simulation, computational physics, Metropolis algorithm.

CITATION

Alan Weiss,
Boris Lubachevsky,
"Synchronous Relaxation For Parallel Ising Spin Simulations",

*2012 ACM/IEEE/SCS 26th Workshop on Principles of Advanced and Distributed Simulation*, vol. 00, no. , pp. 185, 2001, doi:10.1109/PADS.2001.924635