Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings
- We explore ensemble inequivalence in long-range interacting systems by studying an XY model of classical spinswith ferromagnetic and nematic coupling. We demonstrate the inequivalence bymapping themicrocanonical phase diagram onto the canonical one, and also by doing the inverse mapping. We show that the equilibrium phase diagrams within the two ensembles strongly disagree within the regions of first-order transitions, exhibiting interesting features like temperature jumps. In particular, we discuss the coexistence and forbidden regions of different macroscopic states in both the phase diagrams.
| Author details: | Arkadij PikovskijORCiDGND, Shamik Gupta, Tarcisio N. Teles, Fernanda P. C. Benetti, Renato Pakter, Yan Levin, Stefano Ruffo |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.90.062141 |
| ISSN: | 1539-3755 |
| ISSN: | 1550-2376 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/25615078 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/26 |
| Volume: | 90 |
| Issue: | 6 |
| Number of pages: | 5 |
| Funding institution: | Ministry of Education and Science of the Russian Federation [02..49.21.0003]; Lobachevsky State University of Nizhni Novgorod [02..49.21.0003]; CEFIPRA Project [4604-3]; INFN; CNPq; FAPERGS; INCT-FCx; US-AFOSR [FA9550-12-1-0438] |
