Noisy Classical Field Theories with Two Coupled Fields: Dependence of Escape Rates on Relative Field Stiffnesses
arXiv:1106.5545 · doi:10.1103/PhysRevE.84.031119
Abstract
Exit times for stochastic Ginzburg-Landau classical field theories with two or more coupled classical fields depend on the interval length on which the fields are defined, the potential in which the fields deterministically evolve, and the relative stiffness of the fields themselves. The latter is of particular importance in that physical applications will generally require different relative stiffnesses, but the effect of varying field stiffnesses has not heretofore been studied. In this paper, we explore the complete phase diagram of escape times as they depend on the various problem parameters. In addition to finding a transition in escape rates as the relative stiffness varies, we also observe a critical slowing down of the string method algorithm as criticality is approached.
16 pages, 10 figures
References in corpus (11)
- String Method for the Study of Rare Events
- Theory of metastability in simple metal nanowires
- Quantum Necking in Stressed Metallic Nanowires
- Magnetic Reversal in Nanoscopic Ferromagnetic Rings
- Jahn-Teller Distortions and the Supershell Effect in Metal Nanowires
- Critical Behavior of the Kramers Escape Rate in Asymmetric Classical Field Theories
- The Effects of Weak Spatiotemporal Noise on a Bistable One-Dimensional System
- Fluctuational Instabilities of Alkali and Noble Metal Nanowires
- Comment on "Nonlinear current-voltage curves of gold quantum point contacts" [Appl. Phys. Lett. 87, 103104 (2005)]
- The Escape Problem in a Classical Field Theory With Two Coupled Fields
- The Order of Phase Transitions in Barrier Crossing