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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 3, Pages 584–592
DOI: https://doi.org/10.4213/tmf6702 (Mi tmf6702) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Spherical analogues of some non-Ising spin glass models: Exact solutions

E. E. Tareeva

Institute for High Pressure Physics, RAS, Troitsk, Moscow Oblast, Russia
Full-text PDF (379 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6702
Abstract: We consider several models of non-Ising spin glass for which we can naturally formulate an analogue of spherical conditions well known for the Ising model. We calculate the partition functions of the obtained models exactly. The random matrix method and the replica method yield identical results.
Keywords: spin glass, spherical approximation, exact solution.
Received: 03.03.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 3, Pages 1358–1364
DOI: https://doi.org/10.1007/s11232-011-0111-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. E. Tareeva, “Spherical analogues of some non-Ising spin glass models: Exact solutions”, TMF, 168:3 (2011), 584–592; Theoret. and Math. Phys., 168:3 (2011), 1358–1364
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6702
  • https://doi.org/10.4213/tmf6702
  • https://www.mathnet.ru/eng/tmf/v168/i3/p584
    • This publication is cited in the following 2 articles:
    1. Huayv Ji, Fan Xie, Li Shen, Ru Yang, Bo Zhang, “Unstable behavior analysis and stabilization of double‐loop proportional‐integral control H‐bridge inverter with inductive impedance load”, Circuit Theory & Apps, 50:3 (2022), 904  crossref
    2. E. E. Tareeva, T. I. Schelkacheva, N. M. Chtchelkachev, “Some peculiarities in the behavior of non-Ising spin glasses”, Theoret. and Math. Phys., 182:3 (2015), 437–447  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :189
    References:62
    First page:9
     
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