Droplet Nucleation and Domain Wall Motion in a Bounded Interval

2001/08/14 by Robert S. Maier, D. L. Stein · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nonlinear Dynamics and Pattern Formation #cond-mat.stat-mech #hep-th #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.87.270601

published as Phys.Rev.Lett. 87 (2001) 270601 · REVTeX, 4 pages, 3 Postscript figures

arxiv created 2001/08/14 · openalex publication_date 2001/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a spatially extended model of noise-induced magnetization reversal: a classical Ginzburg-Landau model, restricted to a bounded interval and perturbed by weak spatiotemporal noise. By adapting the Coleman-Langer approach to false vacuum decay, we determine the dependence of the activation barrier and Kramers rate prefactor on the interval length. As it increases, a transition between activation regimes occurs, at which the prefactor diverges. Similar transitions between activation regimes should occur in many other bistable, spatially extended classical models.

Citations

• Techniques and Applications of Path Integration

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• Effects of weak spatiotemporal noise on a bistable one-dimensional system
• Proposal for a nanoscale variable resistor/electromechanical transistor

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