Green’s function for two absorbing boundaries in the reaction–diffusion system: Beyond Oster–Nishijima Model in barrierless reaction

Chinmoy Samanta and Aniruddha Chakraborty

Physica A: Statistical Mechanics and its Applications, 2022, vol. 594, issue C

Abstract: We have derived the green’s function in the time domain for the presence of two localized sinks of finite strength on the potential energy surface in the barrierless reaction–diffusion processes. The previously proposed method (Saravanan and Chakraborty, 2020) has parametric limitations to find the time domain solution, whereas our present method gives the complete solution to the diffusion equation. Also experimentally observed nearly bi-exponential decay due to strong asymmetric placement of sinks has been observed.

Keywords: Statistical physics; Diffusion equation; Competing sink; Two absorbing boundaries value problems; Analytical model (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122001169

DOI: 10.1016/j.physa.2022.127061

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