# Ionic Reactions in Two Dimensions with Disorder

Source: [Ionic Reactions in Two Dimensions with Disorder](<https://www.sota2.com/research/paper/68fa248e2c2a3760193a5b51>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:18:10.151Z

Authors: Jeong-Man Park, Michael W. Deem

Published: 1998-05-07T00:18:47.000Z

## 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 $A^+ +B^- \\to \\emptyset$ reaction behaves like the nonionic $A + A \\to \\emptyset$ reaction.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9805076>)

[PDF](<https://arxiv.org/pdf/cond-mat/9805076.pdf>)