Generation of spatiotemporal correlated noise in 1+1 dimensions

Details Generation of spatiotemporal correlated noise in 1+1 dimensions Generation of spatiotemporal correlated noise in 1+1 dimensions

2003-08-15

arxiv.org/abs/cond-mat/0308307v1

Phys. Rev. E 69, 026116 (2004)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevE.69.026116

We propose a generalization of the Ornstein-Uhlenbeck process in 1+1 dimensions which is the product of a temporal Ornstein-Uhlenbeck process with a spatial one and has exponentially decaying autocorrelation. The generalized Langevin equation of the process, the corresponding Fokker-Planck equation, and a discrete integral algorithm for numerical simulation is given. The process is an alternative to a recently proposed spatiotemporal correlated model process [J. Garcia-Ojalvo et al., Phys. Rev. A 46, 4670 (1992)] for which we calculate explicitely the hitherto not known autocorrelation function in real space.

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