Dynamical Critical Behaviors of the Ising Spin Chain: Swendsen-Wang and Wolff Algorithms
arXiv:cond-mat/0405469 · doi:10.1088/0305-4470/37/27/004
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 <l>^{-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.
12 pages, submitted to J. Phys. A