External fluctuations in a pattern-forming instability.
نویسندگان
چکیده
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. @S1063-651X~96!07706-9#
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عنوان ژورنال:
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
دوره 53 6 شماره
صفحات -
تاریخ انتشار 1996