Ionic Reactions in Two Dimensions with Disorder

Abstract

We analyze the dynamics of the ion-dipole pairing reaction in the two-dimensional Coulomb gas in the presence of disorder. Sufficiently singular disorder forces the critical temperature of the Kosterlitz-Thouless-Berezinskii fixed point to be non-universal. This disorder leads to anomalous ion pairing kinetics with a continuously variable decay exponent. Sufficiently strong disorder eliminates the transition altogether. For ions that are chemically reactive, anomalous kinetics with a continuously variable decay exponent also occurs in the high-temperature regime. The Coulomb interaction inhibits reactant segregation, and so the ionic $A^{+}+B^{-}\to \varnothing$ reaction behaves like the nonionic $A+A\to \varnothing$ reaction.

To appear in Phys. Rev. E. 7 pages, 4 figures

References in corpus (4)

• Disorder-Induced Anomalous Kinetics in the $A+A\to \varnothing$ Reaction
• The Effect of Static Disorder and Reactant Segregation on the $A+B\to \varnothing$ Reaction
• Comment on Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction
• Charge Transport in the Dense Two-Dimensional Coulomb Gas

Cited by in corpus (6)

• The Reaction Process A+A->O in Sinai Disorder
• Numerical Observation of Disorder-Induced Anomalous Kinetics in the A + A -> 0 Reaction
• Direct Numerical Observation of Anomalous Diffusion in Random Media
• Two-Dimensional Diffusion in the Presence of Topological Disorder
• Comment on ``Diffusion of Ionic Particles in Charged Disordered Media''
• Distribution of Interacting Ionic Particles in Disordered Media