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http://hdl.handle.net/1843/41804| Type: | Artigo de Periódico |
| Title: | Multirange Ising model on the square lattice |
| Authors: | Charles Souza do Amaral Bernardo Nunes Borges de Lima Ronald Dickman Allbens Atman Picardi Faria |
| Abstract: | We study the Ising model on the square lattice (Z2) and show, via numerical simulation, that allowing interactions between spins separated by distances 1 and m (two ranges), the critical temperature, Tc (m), converges monotonically to the critical temperature of the Ising model on Z4 as m→∞. Only interactions between spins located in directions parallel to each coordinate axis are considered. We also simulated the model with interactions between spins at distances of 1, m, and u (three ranges), with u a multiple of m; in this case our results indicate that Tc (m, u) converges to the critical temperature of the model on Z6. For percolation, analogous results were proven for the critical probability pc. |
| Subject: | Probabilidade Estatística Ising model |
| language: | eng |
| metadata.dc.publisher.country: | Brasil |
| Publisher: | Universidade Federal de Minas Gerais |
| Publisher Initials: | UFMG |
| metadata.dc.publisher.department: | ICX - DEPARTAMENTO DE FÍSICA ICX - DEPARTAMENTO DE MATEMÁTICA |
| Rights: | Acesso Restrito |
| metadata.dc.identifier.doi: | https://doi.org/10.1103/PhysRevE.101.052138 |
| URI: | http://hdl.handle.net/1843/41804 |
| Issue Date: | 26-May-2020 |
| metadata.dc.url.externa: | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.052138 |
| metadata.dc.relation.ispartof: | Physical Review E |
| Appears in Collections: | Artigo de Periódico |
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