Lattice Independent Approach to Thermal Phase Mixing

Details Lattice Independent Approach to Thermal Phase Mixing Lattice Independent Approach to Thermal Phase Mixing

1999-10-12

arxiv.org/abs/cond-mat/9910178v3

Phys.Rev. E61 (2000) 3483

Physics

Condensed Matter

Statistical Mechanics

Paragraph added and minor changes to text and figures. LaTeX, 8 pages using RevTeX, 8 PostScript figures included

Scientific paper

10.1103/PhysRevE.61.3483

We show how to achieve lattice-spacing independent results in numerical simulations of finite-temperature stochastic scalar field theories. We generalize the previous approach of hep-lat/9607026 by obtaining results which are independent of the renormalization scale. As an application of our method, we examine thermal phase mixing in the context of Ginzburg-Landau models with short-range interactions. In particular, we obtain the lattice-spacing and renormalization-scale independent critical value of the control parameter which determines the free-energy barrier between the two low-temperature phases. We also propose a simple procedure to extract the critical value of control parameters for different choices of lattice spacing.

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