Domain formation in transitions with noise and time-dependent bifurcation parameter

Preprint

26 June 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.adap-org/9706006

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.

Keywords

DIFFERENTIAL EQUATIONS
DEPENDENT BIFURCATION
BIFURCATION PARAMETER
NUMERICS AND ANALYSIS
SPATIAL STRUCTURE
DOMAIN FORMATION
CRITICAL VALUE
EQUATIONS
NOISE

All Related Versions

Version 1, 1997-06-26, ArXiv
Published version: Physical Review E, 53 (5), R4271.

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