Direct Monte Carlo Measurement of the Surface Tension in Ising Models

The interfacial tension of the simple-cubic Ising model near the transition temperature has been calculated with use of an extension of a recently proposed novel Monte Carlo method. Finite-size scaling theory was used to analyze the results and to obtain the surface tension amplitude. Universal ratios involving the surface tension amplitude are evaluated. Previous ambiguities in the theoretical value of the ratio involving the surface tension and specific-heat amplitudes have been clarified.

Physical Review AJun 1, 198530 citations

Direct Monte Carlo Measurement of the Surface Tension in Ising Models

Martin Hasenbusch B, Fachbereich Physik, Universität Kaiserslautern, Kaiserslautern Preprint Kl–th

Published Jan 1, 1993• 17 citations

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Direct Monte Carlo measurement of the surface tension in Ising models

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Monte Carlo evaluations of interfacial tension and universal amplitude ratios of the three-dimensional Ising model

K. K. Mon, David Jasnow

Physical Review AJun 1, 198530 citations

{\mathit{z}}_{\mathrm{cl}}

=0.44\ifmmode\pm\else\textpm\fi{}0.03. For the Metropolis algorithm we obtain

{\mathit{z}}_{\mathrm{Met}}

=2.0\ifmmode\pm\else\textpm\fi{}0.1 while the Swendsen-Wang algorithm performs even worse than local updating. A new method which suppresses fluctuations in the two bulk phases is introduced to determine moments of the interfacial thickness.