# Revisiting Kawasaki dynamics in one dimension

Source: [Revisiting Kawasaki dynamics in one dimension](<https://www.sota2.com/research/paper/68fa29bb1e209131ce83704b>)

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

Data updated: 2025-10-24T13:06:46.278Z

Authors: M. D. Grynberg

Published: 2010-09-23T02:46:00.000Z

## Abstract

Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain wall representations. At low temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to $z \\simeq 3.11$ for instant quenches under ferromagnetic couplings, while approaching to $z \\simeq 2$ in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1009.4511>)

[PDF](<https://arxiv.org/pdf/1009.4511.pdf>)