Domain wall propagation and nucleation in a metastable two-level system

Details Domain wall propagation and nucleation in a metastable two-level system Domain wall propagation and nucleation in a metastable two-level system

2004-04-21

arxiv.org/abs/cond-mat/0404508v1

Physics

Condensed Matter

Statistical Mechanics

28 pages, 16 figures, revtex style

Scientific paper

10.1103/PhysRevE.70.031105

We present a dynamical description and analysis of non-equilibrium transitions in the noisy one-dimensional Ginzburg-Landau equation for an extensive system based on a weak noise canonical phase space formulation of the Freidlin-Wentzel or Martin-Siggia-Rose methods. We derive propagating nonlinear domain wall or soliton solutions of the resulting canonical field equations with superimposed diffusive modes. The transition pathways are characterized by the nucleations and subsequent propagation of domain walls. We discuss the general switching scenario in terms of a dilute gas of propagating domain walls and evaluate the Arrhenius factor in terms of the associated action. We find excellent agreement with recent numerical optimization studies.

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