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Generalization of escape rate from a metastable state driven by external cross-correlated noise processes
- Source :
- Phys. Rev. E 76, 021125 (2007)
- Publication Year :
- 2007
-
Abstract
- We propose generalization of escape rate from a metastable state for externally driven correlated noise processes in one dimension. In addition to the internal non-Markovian thermal fluctuations, the external correlated noise processes we consider are Gaussian, stationary in nature and are of Ornstein-Uhlenbeck type. Based on a Fokker-Planck description of the effective noise processes with finite memory we derive the generalized escape rate from a metastable state in the moderate to large damping limit and investigate the effect of degree of correlation on the resulting rate. Comparison of the theoretical expression with numerical simulation gives a satisfactory agreement and shows that by increasing the degree of external noise correlation one can enhance the escape rate through the dressed effective noise strength.<br />Comment: 9 pages, 1 figure
- Subjects :
- Condensed Matter - Statistical Mechanics
Condensed Matter - Soft Condensed Matter
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 76, 021125 (2007)
- Publication Type :
- Report
- Accession number :
- edsarx.0707.2555
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.76.021125