# Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension

Source: [Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension](<https://www.sota2.com/research/paper/68fa250b2c2a3760193ac078>)

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

Data updated: 2025-10-24T10:06:12.485Z

Authors: Thomas Masser, Daniel ben Avraham

Published: 2000-08-30T15:10:04.000Z

## Abstract

The kinetics of the q-state Potts model in the zero temperature limit in one dimension is analyzed exactly through a generalization of the method of empty intervals, previously used for the analysis of diffusion-limited coalescence, A+A-\>A. In this new approach, the q-state Potts model, coalescence, and annihilation (A+A-\>0) all satisfy the same diffusion equation, and differ only in the imposed initial condition.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0008448>)

[PDF](<https://arxiv.org/pdf/cond-mat/0008448.pdf>)