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

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

1997-06-26

arxiv.org/abs/adap-org/9706006v1

Phys. Rev. E 53 (1996) R4271-R4274

Physics

Condensed Matter

RevTex, 4 pages, 4 postscript figures included

Scientific paper

10.1103/PhysRevE.53.R4271

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.

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