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

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

2010-08-13

arxiv.org/abs/1008.2378v1

Physics

Mathematical Physics

24 pages

Scientific paper

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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