Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-10-11
Physica A203 (1994) 189-213
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 9 figures appended as 3 PS-files, preprints CERN-TH.7029/93, MS-TPI-93-08
Scientific paper
10.1016/0378-4371(94)90152-X
We compare Monte Carlo results for the interface tension and interface energy of the 3-dimensional Ising model with Pad\'e and inhomogeneous differential approximants of the low temperature series that was recently extended by Arisue to $17^{\rm th}$ order in $u=\exp(-4\beta)$. The series is expected to suffer from the roughening singularity at $u\approx 0.196$. The comparison with the Monte Carlo data shows that the Pad\'e 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 Pad\'e approximants find this peak. We also compare Monte Carlo data for the energy of the ASOS model with the corresponding low temperature series that we extended to order $u^{12}$.
Hasenbusch Martin
Pinn Klaus
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