Condensation of handles in the interface of 3D Ising model

1993/04/01 by Michele Caselle, M. Caselle, Caselle, M. +4
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9304001

11 pages (Latex) with 2 postscript figures included, DFTT-12/93

arxiv created 1993/04/01 · arxiv updated 2009/11/30

Abstract

We analyze the microscopic, topological structure of the interface between domains of opposite magnetization in 3D Ising model near the critical point. This interface exhibits a fractal behaviour with a high density of handles. The mean area is an almost linear function of the genus. The entropy exponent is affected by strong finite-size effects.

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