English

A single-walker approach for studying quasi-ergodic systems

Statistical Mechanics 2017-04-18 v2 Computational Physics

Abstract

The jump-walking Monte-Carlo algorithm is revisited and updated to study the equilibrium properties of systems exhibiting quasi-ergodicity. It is designed for a single processing thread as opposed to currently predominant algorithms for large parallel processing systems. The updated algorithm is tested on the Ising model and applied to the lattice-gas model for sorption in aerogel at low temperatures, when dynamics of the system is critically slowed down. It is demonstrated that the updated jump-walking simulations are able to produce equilibrium isotherms which are typically hidden by the hysteresis effect characteristic of the standard single-flip simulations.

Keywords

Cite

@article{arxiv.1609.05683,
  title  = {A single-walker approach for studying quasi-ergodic systems},
  author = {Zilvinas Rimas and Sergei Taraskin},
  journal= {arXiv preprint arXiv:1609.05683},
  year   = {2017}
}
R2 v1 2026-06-22T15:54:01.669Z