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1987•Journal of Physics A Mathematical and GeneralRequires access

Dynamics of the Potts model on a fractal lattice

O. F. de Alcantara Bonfim

Open publisher page 2 citations

Abstract

The dynamics of the q-state Potts model on a fractal lattice is studied using Monte Carlo simulations. The Glauber dynamics is used leading to an effective temperature-dependent critical exponent of the form z=AK+B implying the breakdown of conventional dynamic scaling. The value of A is shown to be independent of q, within the error bars.

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What this paper is about

The dynamics of the q-state Potts model on a fractal lattice is studied using Monte Carlo simulations. The Glauber dynamics is used leading to an effective temperature-dependent critical exponent of the form z=AK+B implying the breakdown of conventional dynamic scaling. The value of A is shown to be independent of q, within the error bars.

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Available abstract

The dynamics of the q-state Potts model on a fractal lattice is studied using Monte Carlo simulations. The Glauber dynamics is used leading to an effective temperature-dependent critical exponent of the form z=AK+B implying the breakdown of conventional dynamic scaling. The value of A is shown to be independent of q, within the error bars.

Key concepts: Potts model, Statistical physics, Monte Carlo method, Glauber, Scaling, Fractal, Chiral Potts curve, Lattice (music)

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