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19 April 2024
 
  » arxiv » cond-mat/0002469

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Non-equilibrium Surface Growth and Scalability of Parallel Algorithms for Large Asynchronous Systems
G. Korniss ; M.A. Novotny ; Z. Toroczkai ; P.A. Rikvold ;
Date 1 Mar 2000
Journal Springer Proceedings in Physics, Vol. 86, Computer Simulation Studies in Condensed-Matter Physics XIII, edited by D.P. Landau, S.P. Lewis, and H.-B. Schuttler (Springer, Berlin, 2001) p. 183.
Subject Statistical Mechanics; Computational Physics; Performance | cond-mat.stat-mech cs.PF physics.comp-ph
AbstractThe scalability of massively parallel algorithms is a fundamental question in computer science. We study the scalability and the efficiency of a conservative massively parallel algorithm for discrete-event simulations where the discrete events are Poisson arrivals. The parallel algorithm is applicable to a wide range of problems, including dynamic Monte Carlo simulations for large asynchronous systems with short-range interactions. The evolution of the simulated time horizon is analogous to a growing and fluctuating surface, and the efficiency of the algorithm corresponds to the density of local minima of this surface. In one dimension we find that the steady state of the macroscopic landscape is governed by the Edwards-Wilkinson Hamiltonian, which implies that the algorithm is scalable. Preliminary results for higher-dimensional logical topologies are discussed.
Source arXiv, cond-mat/0002469
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