Interface tension in the improved Blume-Capel model
We study interfaces with periodic boundary conditions in the low-temperature phase of the improved Blume-Capel model on the simple cubic lattice. The interface free energy is defined by the difference of the free energy of a system with antiperiodic boundary conditions in one of the directions and t...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
25 September 2017
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| In: |
Physical review
Year: 2017, Volume: 96, Issue: 3, Pages: 1-12 |
| ISSN: | 2470-0053 |
| DOI: | 10.1103/PhysRevE.96.032803 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevE.96.032803 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.96.032803 
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| Author Notes: | Martin Hasenbusch |
| Summary: | We study interfaces with periodic boundary conditions in the low-temperature phase of the improved Blume-Capel model on the simple cubic lattice. The interface free energy is defined by the difference of the free energy of a system with antiperiodic boundary conditions in one of the directions and that of a system with periodic boundary conditions in all directions. It is obtained by integration of differences of the corresponding internal energies over the inverse temperature. These differences can be computed efficiently by using a variance reduced estimator that is based on the exchange cluster algorithm. The interface tension is obtained from the interface free energy by using predictions based on effective interface models. By using our numerical results for the interface tension σ and the correlation length ξ obtained in previous work, we determine the universal amplitude ratios R2nd,+=σ0f22nd,+=0.3863(6), R2nd,−=σ0f22nd,−=0.1028(1), and Rexp,−=σ0f2exp,−=0.1077(3). Our results are consistent with those obtained previously for the three-dimensional Ising model, confirming the universality hypothesis. |
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| Item Description: | Gesehen am 14.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 2470-0053 |
| DOI: | 10.1103/PhysRevE.96.032803 |