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Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm

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Luis Hita, Jorge and Ortiz de Zárate Leira, José María (2013) Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm. Physical Review E, 87 (5). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.87.052802


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http://journals.aps.org/Publisher


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 into 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.


Item Type:Article
Additional Information:

© 2013 American Physical Society. We are indebted to Jan V. Sengers for suggesting part of this research and carefully reviewing the manuscript.

Uncontrolled Keywords:Long-range correlations; Accelerated stochastic simulation; Chemical langevin equation; Microscopic simulation; Hydrodynamic fluctuations; Homogeneous systems; Light-scattering; Liquid-mixtures; Equilibrium; Noise
Subjects:Sciences > Physics > Thermodynamics
ID Code:27274
Deposited On:17 Nov 2014 13:22
Last Modified:26 Feb 2015 15:34

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