MATHEMATICAL TREATMENT OF THE CANONICAL FINITE STATE MACHINE FOR THE ISING MODEL.
The complete framework for the minimal deterministic automata construction of the one-dimensional Ising model is presented. The approach follows the known treatment of the Ising model as a Markov random field, where the local characteristic is usually obtained from the stochastic matrix. The problem...
| Publicado en: | Revista Cubana de Física Vol. 42; no. 1; pp. 3 - 12 |
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| Autores principales: | , , |
| Formato: | Artículo |
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Universidad de La Habana
7/15/2025
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=lth&AN=187247810&site=ehost-live header: @attributes: shortDbName: lth uiTerm: 187247810 longDbName: MedicLatina uiTag: AN controlInfo: bkinfo: jinfo: jid: 02539268 UEW jtl: Revista Cubana de Física issn: 02539268 maglogo: N pubinfo: dt: 7/15/2025 vid: 42 iid: 1 pid: 21208 pub: Universidad de La Habana artinfo: ui: 187247810 ppf: 3 ppct: 9 formats: fmt: @attributes: type: P size: 1.5MB tig: atl: MATHEMATICAL TREATMENT OF THE CANONICAL FINITE STATE MACHINE FOR THE ISING MODEL. aug: au: ESTEVEZ-RAMs, E. RODRÍGUEZ-HORTA, E. LORA-SERRANO, R. affil: Facultad de Física, Universidad de la Habana, San Lázaro y L. CP 10400. La Habana. Cuba. Instituto de Ciencias y Tecnología de Materiales, University of Havana. Universidade Federal de Uberlandia, AV. Joao Naves de Avila, 2121- Campus Santa Monica, Uberlandia, СЕР 38408-144, Brazil. su: Ising model Markov random fields Finite state machines Markov processes Transfer matrix Stochastic matrices sug: subj: Ising model Markov random fields Finite state machines Markov processes Transfer matrix Stochastic matrices keyword: complexity entropy complejidad entropía Modelo de Ising ab: The complete framework for the minimal deterministic automata construction of the one-dimensional Ising model is presented. The approach follows the known treatment of the Ising model as a Markov random field, where the local characteristic is usually obtained from the stochastic matrix. The problem is the inverse relation or how to get the stochastic matrix from the local characteristics given via the transfer matrix treatment. The obtained expressions allow for performing complexity-entropy analysis of particular instances of the Ising model. Two examples are discussed: the 1/2-spin nearest neighbour and next nearest neighbours Ising model. El marco teórico para la máquina mínima determinística del model de Ising en una dimensión es presentado. El tratamiento sigue el conocido modelo de Ising tratado como un campo aleatorio de Markov, donde las características locales son obtenidas de la matriz estocástica. El problema abordado necesita la relación inversa, o como obtener la matriz estocástica de las características locales, dadas a través del tratamiento de la matriz de transferencia. Las expresiones obtenidas permiten realizar el análisis de complejidad-entropía para instancias particulares del modelo de Ising. Dos ejemplos son discutidos: el spín-1/2 de vecinos más cercanos y el modelo de segundos vecinos más cercanos. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Revista Cubana de Física is the property of Universidad de La Habana and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Revista Cubana de Física holder: Universidad de La Habana dt: @attributes: year: 2025 holdings: @attributes: islocal: N |
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