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

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dc.creatorHochberg, David
dc.creatorZorzano, M. -P.
dc.creatorMoran, Federico
dc.date2006-06-14
dc.date.accessioned2026-07-07T07:12:40Z
dc.date.available2026-07-07T07:12:40Z
dc.descriptionWe 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.
dc.description10 pages, 2 composite figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0606378
dc.identifierhttp://arxiv.org/abs/cond-mat/0606378
dc.identifierPhys. Rev. E 73, 066109 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.066109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112154
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.subjectOther Quantitative Biology
dc.subjectPopulations and Evolution
dc.titleComplex noise in diffusion-limited reactions of replicating and competing species
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