Exit dynamics from Morse potential under thermal fluctuations
Statistical Mechanics
2021-04-12 v1 Chemical Physics
Classical Physics
Abstract
We study the dynamics of a Brownian particle in Morse potential under thermal fluctuations, modeled by Gaussian white noise whose amplitude depends on absolute temperature. Dynamics of such a particle is investigated by numerically integrating the corresponding Langevin equation. From the mean first passage time (escape time), we study the dependence of Kramer's rate on temperature and viscosity of the medium. An approximate expression for the reaction rate is found by solving differential equation for the mean first passage time. The expression shows a temperature dependent pre-factor for the Arrhenius equation. Our numerical simulations are in agreement with analytical approximations.
Cite
@article{arxiv.2104.04127,
title = {Exit dynamics from Morse potential under thermal fluctuations},
author = {P Vipin and R Sankaranarayanan},
journal= {arXiv preprint arXiv:2104.04127},
year = {2021}
}
Comments
11 pages, 8 figures, Original research article