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Parallelization of a Dynamic Monte Carlo Algorithm: a Partially Rejection-Free Conservative Approach | G. Korniss
; M. A. Novotny
; P. A. Rikvold
; | Date: |
22 Dec 1998 | Journal: | J. Comput. Phys. 153, 488 (1999) | Subject: | Statistical Mechanics; Materials Science; Computational Physics; Distributed, Parallel, and Cluster Computing | cond-mat.stat-mech cond-mat.mtrl-sci cs.DC physics.comp-ph | Affiliation: | Florida State U. | Abstract: | We experiment with a massively parallel implementation of an algorithm for simulating the dynamics of metastable decay in kinetic Ising models. The parallel scheme is directly applicable to a wide range of stochastic cellular automata where the discrete events (updates) are Poisson arrivals. For high performance, we utilize a continuous-time, asynchronous parallel version of the n-fold way rejection-free algorithm. Each processing element carries an lxl block of spins, and we employ the fast SHMEM-library routines on the Cray T3E distributed-memory parallel architecture. Different processing elements have different local simulated times. To ensure causality, the algorithm handles the asynchrony in a conservative fashion. Despite relatively low utilization and an intricate relationship between the average time increment and the size of the spin blocks, we find that for sufficiently large l the algorithm outperforms its corresponding parallel Metropolis (non-rejection-free) counterpart. As an example application, we present results for metastable decay in a model ferromagnetic or ferroelectric film, observed with a probe of area smaller than the total system. | Source: | arXiv, cond-mat/9812344 | Services: | Forum | Review | PDF | Favorites |
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