Simulation of Potts models with real q and no critical slowing down

Details Simulation of Potts models with real q and no critical slowing down Simulation of Potts models with real q and no critical slowing down

2002-01-16

arxiv.org/abs/cond-mat/0201285v3

Phys.Rev.E66:016115,2002

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures slightly extended version, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.66.016115

A Monte Carlo algorithm is proposed to simulate ferromagnetic q-state Potts model for any real q>0. A single update is a random sequence of disordering and deterministic moves, one for each link of the lattice. A disordering move attributes a random value to the link, regardless of the state of the system, while in a deterministic move this value is a state function. The relative frequency of these moves depends on the two parameters q and beta. The algorithm is not affected by critical slowing down and the dynamical critical exponent z is exactly vanishing. We simulate in this way a 3D Potts model in the range 2

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