Comparison of Monte Carlo results for the 3D Ising interface tension and interface energy with (extrapolated) series expansions

M. Hasenbusch and K. Pinn

Physica A: Statistical Mechanics and its Applications, 1994, vol. 203, issue 2, 189-213

Abstract: We compare Monte Carlo results for the interface tension and interface energy of the 3-dimensional Ising model with Padé and inhomogeneous differential approximants of the low temperature series that was recently extended by Arisue to 17th order in u = exp(−4β). The series is expected to suffer from the roughening singularity at u ≈ 0.196. The comparison with the Monte Carlo data shows that the Padé and inhomogeneous differential approximants fail to improve the truncated series result of the interface tension and the interface energy in the region around the roughening transition. The Monte Carlo data show that the specific heat displays a peak in the smooth phase. Neither the truncated series nor the Padé approximants find this peak. We also compared Monte Carlo data for the energy of the ASOS model with the corresponding low temperatures series that we extended to order u12.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:203:y:1994:i:2:p:189-213

DOI: 10.1016/0378-4371(94)90152-X

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