Solution to the Kramers barrier crossing problem caused by two noises: Thermal noise and Poisson white noise

Gera, T and Sebastian, KL (2021) Solution to the Kramers barrier crossing problem caused by two noises: Thermal noise and Poisson white noise. In: Journal of Chemical Physics, 155 (1).

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Abstract

We consider the escape of a particle trapped in a metastable potential well and acted upon by two noises. One of the noises is thermal and the other is Poisson white noise, which is non-Gaussian. Using path integral techniques, we find an analytic solution to this generalization of the classic Kramers barrier crossing problem. Using the �barrier climbing� path, we calculate the activation exponent. We also derive an approximate expression for the prefactor. The calculated results are compared with the simulations, and a good agreement between the two is found. Our results show that, unlike in the case of thermal noise, the rate depends not just on the barrier height but also on the shape of the whole barrier. A comparison between the simulations and the theory also shows that a better approximation for the prefactor is needed for agreement for all values of the parameters. © 2021 Author(s).

Item Type:	Journal Article
Publication:	Journal of Chemical Physics
Publisher:	American Institute of Physics Inc.
Additional Information:	The copyright for this article belongs to American Institute of Physics Inc.
Keywords:	Thermal noise, A-particles; Analytic solution; Approximate expressions; Barrier crossing; Barrier heights; Non-Gaussian; Path integral; Potential wells, White noise
Department/Centre:	Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited:	16 Sep 2021 08:58
Last Modified:	16 Sep 2021 08:58
URI:	http://eprints.iisc.ac.in/id/eprint/69597

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