Parallel Simulation of Two-Dimensional Ising Models Using Probabilistic Cellular Automata

Abstract We study the numerical simulation of shaken dynamics , a parallel Markovian for spin systems with local interaction and transition probabilities depending on two parameters q J that “tune” geometry underlying lattice. The analysis mixing time Markov chain evaluation spin-spin correlations as functions make it possible to determine in ( ) plane phase curve separating disordered from ordered one. relation between equilibrium measure Gibbs Ising model is also investigated. Finally different coding approaches are considered implementation dynamics: multicore CPU approach, coded Julia, GPU approach CUDA.