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arXiv · 1009.4511

Revisiting Kawasaki dynamics in one dimension

M. D. Grynberg
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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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M. D. Grynberg. 2010-09-23. Revisiting Kawasaki dynamics in one dimension. https://doi.org/10.1103/physreve.82.051121

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