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Dynamical Critical Behaviors of the Ising Spin Chain: Swendsen-Wang and Wolff Algorithms

P. L. Krapivsky
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Abstract

We study the zero-temperature Ising chain evolving according to the Swendsen-Wang dynamics. We determine analytically the domain length distribution and various ``historical'' characteristics, e.g., the density of unreacted domains is shown to scale with the average domain length as ^{-d} with d=3/2 (for the q-state Potts model, d=1+1/q). We also compute the domain length distribution for the Ising chain endowed with the zero-temperature Wolff dynamics.

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BibTeXRIS

P. L. Krapivsky. 2004-05-20. Dynamical Critical Behaviors of the Ising Spin Chain: Swendsen-Wang and Wolff Algorithms. https://doi.org/10.1088/0305-4470%2F37%2F27%2F004

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