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Phys. Rev. E 53, R4271–R4274 (1996)

[Issue 5 – May 1996 ]

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

G. D. Lythe

Optique Nonlinéaire Théorique, Université Libre de Bruxelles, C.P. 231, Bruxelles 1050, Belgium

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.

©1996 The American Physical Society

URL: http://link.aps.org/abstract/PRE/v53/pR4271
DOI: 10.1103/PhysRevE.53.R4271
PACS: 02.50.-r, 64.60.Ht, 05.70.Fh, 47.54.+r

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