The Escape Problem in a Classical Field Theory With Two Coupled Fields
arXiv:1008.2378 · doi:10.1088/1751-8113/43/40/405004
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.
24 pages
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