Reaction–diffusion dynamics in an attractive stepwise-linear potential energy curve under the Gaussian-sink Action
School of Basic Sciences, Indian Institute of Technology Mandi, 175075, Mandi, Himachal Pradesh, India
Accepted: 4 May 2021
Published online: 15 May 2021
The reaction–diffusion dynamics through a Gaussian sink in the presence of an attractive stepwise-linear potential energy curve has been investigated. Exact dynamics has been evaluated for perfect absorption via a centrally placed point sink. An analytical form of the mean first passage time distribution has been provided. Moreover, the stability of a Brownian particle versus the noise intensity in the considered model system has been investigated. We have introduced the Fredholm integral method to solve the Smoluchowski equation in the Laplace domain, obtaining an exact semi-analytical solution for the linear potential energy curve with a general delocalized sink. The knowledge of the Greens function of the equation in the absence of a sink is required. We discuss the result by using Gaussian sink in two different physical contexts with finding different observables like average rate constant in electronic relaxation in solution and quantum yields in photosynthetic systems or doped molecular crystal.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021