Université de Lyon (92 rue Pasteur - CS 30122, 69361 Lyon Cedex 07 - France)
Abstract : We present a multithreaded event-chain Monte Carlo algorithm (ECMC) for hard spheres. Threads synchronize at infrequent breakpoints and otherwise scan for local horizon violations. Using a mapping onto absorbing Markov chains, we rigorously prove the correctness of a sequential-consistency implementation for small test suites. On x86 and ARM processors, a C++ (OpenMP) implementation that uses compare-and-swap primitives for data access achieves considerable speed-up with respect to single-threaded code. The generalized birthday problem suggests that for the number of threads scaling as the square root of the number of spheres, the horizon-violation probability remains small for a fixed simulation time. We provide C++ and Python open-source code that reproduces all our results.
https://hal-psl.archives-ouvertes.fr/hal-03008349 Contributor : Anthony MaggsConnect in order to contact the contributor Submitted on : Monday, November 16, 2020 - 5:33:55 PM Last modification on : Thursday, November 18, 2021 - 4:58:02 PM
Botao Li, Synge Todo, A. Maggs, Werner Krauth. Multithreaded event-chain Monte Carlo with local times. Computer Physics Communications, Elsevier, 2020, pp.107702. ⟨10.1016/j.cpc.2020.107702⟩. ⟨hal-03008349⟩