Mobility-induced instability and pattern formation in a reaction-diffusion system

The Journal of Chemical Physics
Syed Shahed RiazD S Ray

Abstract

Ions undergoing a reaction-diffusion process are susceptible to electric field. We show that a constant external field may induce a kind of instability on the state stabilized by diffusion in a reaction-diffusion system giving rise to formation of pattern even when the diffusion coefficients of the reactants are equal. The origin of the pattern is due to the difference in mobilities of the two species and is thus markedly different from that of deformed Turing pattern in presence of the field. While this differential flow instability had been shown earlier to result in traveling waves, we realize in the context of stationary pattern formation in a typical reaction-diffusion-advective system. Our analysis is based on a numerical simulation of a generic model on a two-dimensional domain.

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Citations

Dec 27, 2005·The Journal of Chemical Physics·Syed Shahed Riaz, Deb Shankar Ray
Oct 24, 2007·The Journal of Chemical Physics·Wen-Qiang ChenJiang-Xing Chen
Jan 21, 2014·The Journal of Chemical Physics·Sainyam GalhotraBijay Kumar Agarwalla
Mar 10, 2019·The Journal of Chemical Physics·Amitava Giri, Sandip Kar
Nov 15, 2016·Physical Review. E·Shyamolina GhoshDeb Shankar Ray
May 29, 2020·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Amitava GiriSandip Kar
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wei-Shen LiYuan-Zhi Shao
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shrabani SenDeb Shankar Ray
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shrabani SenDeb Shankar Ray
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shrabani SenDeb Shankar Ray
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sumana Dutta, Deb Shankar Ray

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