https://doi.org/10.1140/epjb/e2016-60940-x
Regular Article
Escape rate of Brownian particles from a metastable potential well under time derivative Ornstein-Uhlenbeck noise
Department of Mathematics and Physics, North China
Electric Power University, Baoding
071003, P.R.
China
a e-mail: baizhanwu@126.com
Received:
29
August
2015
Received in final form:
8
December
2015
Published online:
21
March
2016
We investigate the escape rate of Brownian particles that move in a cubic metastable potential subjected to an internal time derivative Ornstein-Uhlenbeck noise (DOUN). This noise can induce the ballistic diffusion of force-free Brownian particles. Some new features are found. The escape rate for DOUN shows qualitative different dependence on potential well width compared with OUN which induces normal diffusion. As the potential barrier height decreases, the escape rate of DOUN deviates from Arrhenius law considerably earlier than that of Ornstein-Uhlenbeck noise (OUN). The Brownian particles escape faster under DOUN than that under OUN. A quasi-periodic oscillation occurs in transient state. A solvable case is presented to demonstrate the significant cancellation behavior in the barrier region that governs most of these phenomena. The physical mechanism of the findings can be clarified by the noise features. These characteristics should be common for internal noises that induce superdiffusion, especially the ballistic diffusion.
Key words: Statistical, Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2016