Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm
Statistical Mechanics
2014-01-08 v1 Mesoscale and Nanoscale Physics
Biological Physics
Chemical Physics
Abstract
We present a study of the spatial correlation functions of a one-dimensional reaction-diffusion system in both equilibrium and out of equilibrium. For the numerical simulations we have employed the Gillespie algorithm dividing the system in cells to treat diffusion as a chemical process between adjacent cells. We find that the spatial correlations are spatially short ranged in equilibrium but become long ranged in nonequilibrium. These results are in good agreement with theoretical predictions from fluctuating hydrodynamics for a one-dimensional system and periodic boundary conditions.
Keywords
Cite
@article{arxiv.1305.3081,
title = {Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm},
author = {Jorge Luis Hita and José María Ortiz de Zárate},
journal= {arXiv preprint arXiv:1305.3081},
year = {2014}
}
Comments
11 pages, 4 figures