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

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

2004-05-20

arxiv.org/abs/cond-mat/0405469v1

J. Phys. A 37: 6917,2004

Physics

Condensed Matter

Statistical Mechanics

12 pages, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/37/27/004

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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