TY - JOUR
T1 - Complex noise in diffusion-limited reactions of replicating and competing species
AU - Hochberg, D.
AU - Zorzano, M.-P.
AU - Morán, F.
PY - 2006
Y1 - 2006
N2 - 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 spatiotemporal 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.
AB - 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 spatiotemporal 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-33744954210&partnerID=MN8TOARS
U2 - 10.1103/PhysRevE.73.066109
DO - 10.1103/PhysRevE.73.066109
M3 - Article
SN - 1539-3755
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
ER -