Domain formation in transitions with noise and a time-dependent bifurcation parameter
- 1 May 1996
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 53 (5) , R4271-R4274
- https://doi.org/10.1103/physreve.53.r4271
Abstract
The characteristic size for spatial structure, that emerges when the bifurcation parameter in model partial differential equations is slowly increased through its critical value, depends logarithmically on the size of added noise. Numerics and analysis are presented for the real Ginzburg-Landau and Swift-Hohenberg equations.Comment: RevTex, 4 pages, 4 postscript figures includeKeywords
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This publication has 22 references indexed in Scilit:
- Linear Stability Analysis for Bifurcations in Spatially Extended Systems with Fluctuating Control ParameterPhysical Review Letters, 1994
- Colored noise in spatially extended systemsPhysical Review E, 1994
- Pattern formation outside of equilibriumReviews of Modern Physics, 1993
- Stochastic Equations in Infinite DimensionsPublished by Cambridge University Press (CUP) ,1992
- Effects of additive noise at the onset of Rayleigh-Bénard convectionPhysical Review A, 1992
- Numerical study of the influence of forcing terms and fluctuations near onset on the roll pattern in Rayleigh-Bénard convection in a simple fluidPhysical Review A, 1992
- Stochastic influences on pattern formation in Rayleigh-Bénard convection: Ramping experimentsPhysical Review A, 1991
- A stochastic partial differential equation with multiplicative noisePhysics Letters A, 1987
- Hydrodynamic fluctuations near the convection instabilityPhysical Review A, 1974
- Statistical Mechanics of One-Dimensional Ginzburg-Landau FieldsPhysical Review B, 1972