Europhys. Lett., 62 (6) , pp. 795-800 (2003)
Soliton-dynamical approach to a noisy Ginzburg-Landau modelH. C. Fogedby1, 2, J. Hertz2 and A. Svane1
1 Institute of Physics and Astronomy, University of Aarhus DK-8000, Aarhus C, Denmark
2 NORDITA - Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark
(Received 7 January 2003; accepted in final form 22 April 2003)
We present a dynamical description and analysis of non-equilibrium transitions in the noisy one-dimensional Ginzburg-Landau equation based on a canonical phase space formulation. The transition pathways are characterized by nucleation and subsequent propagation of domain walls or solitons. We also evaluate the Arrhenius factor in terms of an associated action and find good agreement with recent numerical optimization studies.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.45.Yv - Solitons.
05.20.-y - Classical statistical mechanics.
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