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

G.D. Lythe (Optique Nonlin\'eaire Th\'eorique; Universit\'e Libre de Bruxelles)

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

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arxiv adap-org/9706006 v1 pith:SL4ZYLQW submitted 1997-06-26 adap-org cond-matnlin.AOnlin.PSpatt-sol

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

G.D. Lythe (Optique Nonlin\'eaire Th\'eorique , Universit\'e Libre de Bruxelles) This is my paper

classification adap-org cond-matnlin.AOnlin.PSpatt-sol

keywords bifurcationequationsnoiseparametersizeaddedanalysischaracteristic

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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.

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

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