Event-driven Monte Carlo : exact dynamics at all time scales for discrete-variable models
dc.contributor.author | Mendoza Coto, Alejandro | pt_BR |
dc.contributor.author | Díaz Méndez, Rogelio | pt_BR |
dc.contributor.author | Pupillo, Guido | pt_BR |
dc.date.accessioned | 2016-12-07T02:25:46Z | pt_BR |
dc.date.issued | 2016 | pt_BR |
dc.identifier.issn | 0295-5075 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/149996 | pt_BR |
dc.description.abstract | We present an algorithm for the simulation of the exact real-time dynamics of classical many-body systems with discrete energy levels. In the same spirit of kinetic Monte Carlo methods, a stochastic solution of the master equation is found, with no need to define any other phase-space construction. However, unlike existing methods, the present algorithm does not assume any particular statistical distribution to perform moves or to advance the time, and thus is a unique tool for the numerical exploration of fast and ultra-fast dynamical regimes. By decomposing the problem in a set of two-level subsystems, we find a natural variable step size, that is well defined from the normalization condition of the transition probabilities between the levels. We successfully test the algorithm with known exact solutions for non-equilibrium dynamics and equilibrium thermodynamical properties of Ising-spin models in one and two dimensions, and compare to standard implementations of kinetic Monte Carlo methods. The present algorithm is directly applicable to the study of the real-time dynamics of a large class of classical Markovian chains, and particularly to short-time situations where the exact evolution is relevant. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Europhysics letters. Les Ulis. Vol. 114, no. 5 (June 2016), 50003, 6 p. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Método de Monte Carlo | pt_BR |
dc.subject | Algoritmos | pt_BR |
dc.subject | Modelo de ising | pt_BR |
dc.subject | Processos de Markov | pt_BR |
dc.title | Event-driven Monte Carlo : exact dynamics at all time scales for discrete-variable models | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 001006763 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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