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Article

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Published version

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1996

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18710

External fluctuations in a pattern-forming instability

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http://dx.doi.org/10.1103/PhysRevE.53.5680

Abstract

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.

Subject

Física matemàtica, Física estadística, Termodinàmica, Sistemes dinàmics diferenciables, Dinàmica de fluids

Subject (English)

Mathematical physics, Statistical physics, Thermodynamics, Differentiable dynamical systems, Fluid dynamics

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

GARCÍA OJALVO, Jordi and SANCHO, José M. External fluctuations in a pattern-forming instability. Physical Review E. 1996. Vol. 53, num. 6, pags. 5680-5689. ISSN 1539-3755. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/18710

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