title: Generalization of the escape rate from a metastable state driven by external cross-correlated noise processes.
abstract: We propose generalization of the 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.
authors.affiliation: Department of Physics, Katwa College, Katwa, Burdwan 713130, India. jprc_8@yahoo.com
authors.forename: Jyotipratim Ray
authors.initials: JR
authors.lastname: Chaudhuri
authors.forename: Sudip
authors.initials: S
authors.lastname: Chattopadhyay
authors.forename: Suman Kumar
authors.initials: SK
authors.lastname: Banik