Nonlinear Bias and the Convective Fisher Equation

Oliver Schönborn; Rashmi C. Desai; Dietrich Stauffer

doi:10.1088/0305-4470/27/9/003

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Nonlinear Bias and the Convective Fisher Equation

Oliver Schönborn·Rashmi C. Desai·Dietrich Stauffer

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Abstract

We combine random walks, growth and decay, and convection, in a Monte Carlo simulation to model 1D interface dynamics with fluctuations. The continuum limit corresponds to the deterministic Fisher equation with convection. We find qualitatively the same type of asymmetry, as well as velocity difference, for interface profiles moving in opposite directions. However a transition apparent in the mean-field (continuum) limit is not found in the Monte Carlo simulation.

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Oliver Schönborn, Rashmi C. Desai, Dietrich Stauffer. 1994-03-07. Nonlinear Bias and the Convective Fisher Equation. https://doi.org/10.1088/0305-4470%2F27%2F9%2F003

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