Dynamic Critical Behavior of Percolation Observables in the 2d Ising Model

Details Dynamic Critical Behavior of Percolation Observables in the 2d Ising Model Dynamic Critical Behavior of Percolation Observables in the 2d Ising Model

2006-05-17

arxiv.org/abs/hep-lat/0605015v1

AIP Conference Proceedings -- December 2, 2004 -- Volume 739, Issue 1, pp. 608-610

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 1 figure

Scientific paper

10.1063/1.1843669

We present preliminary results of our numerical study of the critical dynamics of percolation observables for the two-dimensional Ising model. We consider the (Monte-Carlo) short-time evolution of the system obtained with a local heat-bath method and with the global Swendsen-Wang algorithm. In both cases, we find qualitatively different dynamic behaviors for the magnetization and Omega, the order parameter of the percolation transition. This may have implications for the recent attempts to describe the dynamics of the QCD phase transition using cluster observables.

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