Generalization of the escape rate from a metastable state driven by external cross-correlated noise processes.
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.
Chaudhuri
Jyotipratim Ray
JR
Department of Physics, Katwa College, Katwa, Burdwan 713130, India. jprc_8@yahoo.com
Chattopadhyay
Sudip
S
Banik
Suman Kumar
SK