Complex noise in diffusion-limited reactions of replicating and competing species

Details Complex noise in diffusion-limited reactions of replicating and competing species Complex noise in diffusion-limited reactions of replicating and competing species

2006-06-14

arxiv.org/abs/cond-mat/0606378v1

Phys. Rev. E 73, 066109 (2006)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 composite figures

Scientific paper

10.1103/PhysRevE.73.066109

We derive exact Langevin-type equations governing quasispecies dynamics. The inherent multiplicative noise has both real and imaginary parts. The numerical simulation of the underlying complex stochastic partial differential equations is carried out employing the Cholesky decomposition for the noise covariance matrix. This noise produces unavoidable spatio-temporal density fluctuations about the mean field value. In two dimensions, the fluctuations are suppressed only when the diffusion time scale is much smaller than the amplification time scale for the master species.

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