The Roughening Transition of the 3D Ising Interface: A Monte Carlo Study

Abstract

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid models. The basic idea is the matching of the renormalization-group-flow of the interface with that of the exactly solvable body centered cubic solid on solid model. We unambiguously confirm the Kosterlitz-Thouless nature of the roughening transition of the Ising interface. Our result for the inverse transition temperature $K_R=0.40754(5)$ is almost by two orders of magnitude more accurate than the estimate of Mon, Landau and Stauffer.

16 pages (latex) + 6 figures (Postscript) ,uuencoded

References in corpus (2)

• High Precision Renormalization Group Study of the Roughening Transition
• Comparison of Monte Carlo Results for the 3D Ising Interface Tension and Interface Energy with (Extrapolated) Series Expansions

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• Application of the parallel multicanonical method to lattice gas condensation
• Aging following a zero-temperature quench in the $d=3$ Ising model
• Characteristic power spectrum of the diffusive interface dynamics in the two-dimensional Ising Model
• Finite-size effects in the rough phase of the 3d Ising model