Diffusion dynamics in the presence of two competing sinks: Analytical solution for Oster–Nishijima’s model

Rajendran Saravanan and Aniruddha Chakraborty

Physica A: Statistical Mechanics and its Applications, 2021, vol. 563, issue C

Abstract: In this paper, we solve a diffusion problem in the presence of two absorbing boundaries in the time-domain. This model is well-known as Oster–Nishijima’s model of electronic relaxation. The relaxation dynamics of the initially excited electronic distribution are studied, and the form of the distribution function is assumed to be Gaussian. The results are calculated for a flat-excited state potential, which is an exact consideration near the equilibrium configuration of the molecules. The analytic results of survival probability are presented graphically. For a case with more than one finite boundary, a time-domain solution has been obtained for the first time, and the parametric limitations to the presented method are discussed.

Keywords: Smoluchowski equation; Oster–Nishijima model; Electronic relaxation; Time domain method; Gaussian distribution; Reaction–diffusion systems; Competing absorption channels; Transcendental poles; Fourier inversion (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:563:y:2021:i:c:s0378437120306944

DOI: 10.1016/j.physa.2020.125317

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