### Abstract

We introduce and analyze a system of two coupled partial differential equations with external noise. The equations are constructed to not only 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.

Original language | English (US) |
---|---|

Article number | 405004 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 43 |

Issue number | 40 |

DOIs | |

State | Published - Oct 8 2010 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Modeling and Simulation
- Statistics and Probability

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*43*(40), [405004]. https://doi.org/10.1088/1751-8113/43/40/405004

**The escape problem in a classical field theory with two coupled fields.** / Gong, Lan; Stein, D. L.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 43, no. 40, 405004. https://doi.org/10.1088/1751-8113/43/40/405004

}

TY - JOUR

T1 - The escape problem in a classical field theory with two coupled fields

AU - Gong, Lan

AU - Stein, D. L.

PY - 2010/10/8

Y1 - 2010/10/8

N2 - We introduce and analyze a system of two coupled partial differential equations with external noise. The equations are constructed to not only 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.

AB - We introduce and analyze a system of two coupled partial differential equations with external noise. The equations are constructed to not only 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.

UR - http://www.scopus.com/inward/record.url?scp=78649667639&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649667639&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/43/40/405004

DO - 10.1088/1751-8113/43/40/405004

M3 - Article

VL - 43

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 40

M1 - 405004

ER -