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External fluctuations in a pattern-forming instability
García Ojalvo, Jordi; Sancho, José M.
Universitat de Barcelona
The effect of external fluctuations on the formation of spatial patterns is analyzed by means of a stochastic Swift-Hohenberg model with multiplicative space-correlated noise. Numerical simulations in two dimensions show a shift of the bifurcation point controlled by the intensity of the multiplicative noise. This shift takes place in the ordering direction (i.e., produces patterns), but its magnitude decreases with that of the noise correlation length. Analytical arguments are presented to explain these facts.
Física matemàtica
Física estadística
Sistemes dinàmics diferenciables
Dinàmica de fluids
Mathematical physics
Statistical physics
Differentiable dynamical systems
Fluid dynamics
(c) The American Physical Society, 1996
The American Physical Society

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