Parallel simulation of two-dimensional Ising models using probabilistic cellular automata

DOI10.1007/s10955-021-02792-4zbMath1479.82036arXiv1908.07341OpenAlexW3182998008MaRDI QIDQ2046507

Roberto D'Autilia, Louis Nantenaina Andrianaivo, Alessio Troiani

Publication date: 18 August 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07341

zbMATH Keywords

cellular automataIsing modelsMarkov chainGPU approachmulticore CPU approach

Mathematics Subject Classification ID

Numerical analysis or methods applied to Markov chains (65C40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Continuous-time Markov processes on discrete state spaces (60J27) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (3)

Shaken dynamics on the 3d cubic lattice ⋮ Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs ⋮ Shaken dynamics: an easy way to parallel Markov chain Monte Carlo

Cites Work

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• How to couple from the past using a read-once source of randomness
• The Random-Cluster Model
• Time-Dependent Statistics of the Ising Model

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