Exact Solution of Ising Model on a Small-World Network
| Autor: | Raúl Toral, J. M. B. Lopes dos Santos, J. M. Viana Parente Lopes, Yu. G. Pogorelov |
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| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: |
[PACS] Lattice theory and statistics (Ising
Potts etc.) Ising chain Small-world network Statistical Mechanics (cond-mat.stat-mech) [PACS] Order-disorder transformations FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas statistical mechanics of model systems Exact solutions in general relativity Character (mathematics) Critical point phenomena [[PACS] Thermodynamics] 0103 physical sciences Ising model [PACS] Thermodynamics: Critical point phenomena Statistical physics 010306 general physics Scaling Condensed Matter - Statistical Mechanics Mathematics |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| Popis: | 8 pages, 7 figures.-- PACS nrs.: 05.50.+q, 64.60.Cn, 05.70.Jk.-- ArXiv pre-print available: http://lanl.arxiv.org/abs/cond-mat/0402138 We present an exact solution of a one-dimensional Ising chain with both nearest-neighbor and random long-range interactions. Not surprisingly, the solution confirms the mean-field character of the transition. This solution also predicts the finite-size scaling that we observe in numerical simulations. This work was financed by FCT (Portugal) and the European Union, through POCTI (QCA III). One of the authors (J.V.L.) was supported by FCT grant (Portugal) No. SFRH/BD/1261/2000 and another author (R.T.) by MCYT (Spain) and FEDER through project Nos. BFM2000-1108 and BFM2001-0341-C02-01. |
| Databáze: | OpenAIRE |
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