Fluctuations and the role of collision duration in reaction-diffusion systems

Author: Peruani Fernando   Fan Lee Chiu  

Publisher: Edp Sciences

E-ISSN: 1286-4854|102|5|58001-58001

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.102, Iss.5, 2013-06, pp. : 58001-58001

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In a reaction-diffusion system, fluctuations in both diffusion and reaction events have important effects on the steady-state statistics of the system. Here, we argue through extensive lattice simulations, mean-field–type arguments, and the Doi-Peliti formalism that the collision duration statistics —i.e., the time two particles stay together in a lattice site—plays a leading role in determining the steady state of the system. We obtain approximate expressions for the average densities of the chemical species and for the critical diffusion coefficient required to sustain the reaction.