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Phase transitions and topology in 2+k XY mean-field models
- Source :
- Phys. Rev. E 76, 051119 (2007)
- Publication Year :
- 2007
-
Abstract
- The thermodynamics and topology of mean-field models with 2+k body interaction terms (generalizing XY model) are derived. Focusing on two particular cases (2+4 and 2+6 body interaction terms), a comparison between thermodynamic (phase transition energy, thermodynamically forbidden energy regions) and topological (singularity and curvature of saddle entropy) properties is performed. We find that i) a topological change is present at the phase transition energy; however, ii) only one topological change occurs, also for those models exhibiting two phase transitions; iii) the order of a phase transition is not completely signaled by the curvature of topological quantities.<br />Comment: 7 pages, 9 figures
- Subjects :
- Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 76, 051119 (2007)
- Publication Type :
- Report
- Accession number :
- edsarx.0711.1085
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.76.051119