Dynamical critical behaviours of the Ising spin chain: Swendsen–Wang and Wolff algorithms
Dynamical critical behaviours of the Ising spin chain: Swendsen–Wang and Wolff algorithms
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 …