# Growth Kinetics in Systems with Local Symmetry

Source: [Growth Kinetics in Systems with Local Symmetry](<https://www.sota2.com/research/paper/68fa24072c2a37601939e36a>)

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

Data updated: 2025-10-24T07:52:29.029Z

Authors: Fong Liu

Published: 1993-07-14T22:57:22.000Z

## Abstract

The phase transition kinetics of Ising gauge models are investigated. Despite the absence of a local order parameter, relevant topological excitations that control the ordering kinetics can be identified. Dynamical scaling holds in the approach to equilibrium, and the growth of typical length scale is characteristic of a new universality class with $L(t)\\sim \\left(t/\\ln t\\right)^{1/2}$. We suggest that the asymptotic kinetics of the 2D Ising gauge model is dual to that of the 2D annihilating random walks, a process also known as the diffusion-reaction $A+A\\to \\hbox{inert}$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9307030>)

[PDF](<https://arxiv.org/pdf/cond-mat/9307030.pdf>)