Tuesday, May 21, 2013

1305.4466 (Fernando Peruani et al.)

Fluctuations and the role of collision duration in reaction-diffusion

Fernando Peruani, Chiu Fan Lee
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.
View original: http://arxiv.org/abs/1305.4466

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