Another method to compute the thermodynamic Casimir force in lattice models
We discuss a method that allows us to compute the thermodynamic Casimir force at a given temperature in lattice models by performing a single Monte Carlo simulation. It is analogous to the one used by de Forcrand and co-workers in the study of ‘t Hooft loops and the interface tension in SU(N) lattic...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 December 2009
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| In: |
Physical review. E, Statistical, nonlinear, and soft matter physics
Year: 2009, Volume: 80, Issue: 6, Pages: 1-9 |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.80.061120 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevE.80.061120 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.80.061120 
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| Author Notes: | Martin Hasenbusch |
| Summary: | We discuss a method that allows us to compute the thermodynamic Casimir force at a given temperature in lattice models by performing a single Monte Carlo simulation. It is analogous to the one used by de Forcrand and co-workers in the study of ‘t Hooft loops and the interface tension in SU(N) lattice gauge models in four dimensions. We test the method at the example of thin films in the XY universality class. In particular we simulate the improved two-component ϕ4 model on the simple cubic lattice. This allows us to compare with our previous study, where we have computed the Casimir force by numerically integrating energy densities over the inverse temperature. |
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| Item Description: | Gesehen am 11.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.80.061120 |