Exact Solutions of Low-Dimensional Reaction-Diffusion Systems
Antonio M.R. Cadilhe, M. Lawrence Glasser, Vladimir Privman
TL;DR
This paper reviews exact solutions for low-dimensional reaction-diffusion systems, focusing on two-species models with anisotropic hopping and sticky interactions, highlighting recent methodological advances.
Contribution
It introduces a novel method enabling exact solutions for specific single- and two-species reaction-diffusion models with anisotropic hopping and sticky interactions.
Findings
Exact solutions for two-species models with anisotropic hopping
New method for solving certain reaction-diffusion systems
Discussion of recent results with sticky interactions
Abstract
We briefly review some common diffusion-limited reactions with emphasis on results for two-species reactions with anisotropic hopping. Our review also covers single-species reactions. The scope is that of providing reference and general discussion rather than details of methods and results. Recent exact results for a two-species model with anisotropic hopping and with `sticky' interaction of like particles, obtained by a novel method which allows exact solution of certain single-species and two-species reactions, are discussed.
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