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arXiv · 1008.2378

The Escape Problem in a Classical Field Theory With Two Coupled Fields

Lan Gong·D. L. Stein
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Abstract

We introduce and analyze a system of two coupled partial differential equations with external noise. The equations are constructed to model transitions of monovalent metallic nanowires with non-axisymmetric intermediate or end states, but also have more general applicability. They provide a rare example of a system for which an exact solution of nonuniform stationary states can be found. We find a transition in activation behavior as the interval length on which the fields are defined is varied. We discuss several applications to physical problems.

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BibTeXRIS

Lan Gong, D. L. Stein. 2010-08-13. The Escape Problem in a Classical Field Theory With Two Coupled Fields. https://doi.org/10.1088/1751-8113/43/40/405004

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