Approximate calculation of the ground-state energy for Potts spin-glass models
We consider the q-state Potts spin-glass model, with quenched couplings taking two different values only. As an approximation for this model a proper generalization of the random energy model is derived. Formulas of the resulting diluted generalized random energy model (DGREM) are applied to calcula...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 January 2003
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| In: |
Physical review. E, Statistical, nonlinear, and soft matter physics
Year: 2003, Volume: 67, Issue: 1, Pages: 1-8 |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.67.016105 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevE.67.016105 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.67.016105 
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| Author Notes: | Elmar Bittner, Wolfhard Janke and David B. Saakian |
| Summary: | We consider the q-state Potts spin-glass model, with quenched couplings taking two different values only. As an approximation for this model a proper generalization of the random energy model is derived. Formulas of the resulting diluted generalized random energy model (DGREM) are applied to calculate the ground-state energy for the two-dimensional Potts spin-glass model. The semianalytical results are compared with numerical determinations of the ground-state energy, using multicanonical, random cost, and simulated annealing techniques. |
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| Item Description: | Gesehen am 13.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.67.016105 |