Monte Carlo study of very weak first-order transitions in the three-dimensional Ashkin-Teller model

Details Monte Carlo study of very weak first-order transitions in the three-dimensional Ashkin-Teller model Monte Carlo study of very weak first-order transitions in the three-dimensional Ashkin-Teller model

1996-10-23

arxiv.org/abs/hep-lat/9610032v2

Nucl.Phys.B501:803-838,1997

Physics

High Energy Physics

High Energy Physics - Lattice

This is the revised version that will appear in Nuclear Physics B. Revisions include improvement of statistical error analysis

Scientific paper

10.1016/S0550-3213(97)00405-7

We propose numerical simulations of the Ashkin-Teller model as a foil for theoretical techniques for studying very weakly first-order phase transitions in three dimensions. The Ashkin-Teller model is a simple two-spin model whose parameters can be adjusted so that it has an arbitrarily weakly first-order phase transition. In this limit, there are quantities characterizing the first-order transition which are universal: we measure the relative discontinuity of the specific heat, the correlation length, and the susceptibility across the transition by Monte Carlo simulation.

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