ACM Transactions on Programming Languages and Systems (TOPLAS)
Efficient parallel simulations of dynamic Ising spin systems
Journal of Computational Physics
Proceedings of the 2002 ACM symposium on Applied computing
Proceedings of the eighteenth workshop on Parallel and distributed simulation
Simulation
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In this paper we study the influence of spatio-temporal correlations on the dynamic runtime behavior of the optimistic parallel Time Warp simulation method. By using the Ising spin model, we show experimentally that the distribution of the number of rolled back events behaves as a power-law distribution over a large range of sub-critical Ising temperatures and decays exponentially for super-critical Ising temperatures. For critical Ising temperatures, where long-range correlations occur, the computational complexity of Time Warp and physical complexity of the Ising spin model are entangled and contribute both to the runtime behavior in a nonlinear way.