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TMF, 2010, Volume 165, Number 1, Pages 160–176 (Mi tmf6569)  

This article is cited in 4 scientific papers (total in 4 papers)

Thermodynamics of the model of equal spin–spin interactions

A. A. Khamzina, R. R. Nigmatullinb

a Kazan State Power-Engineering University, Kazan, Russia
b Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We consider the thermodynamics of the model of equal spin–spin interactions. We obtain exact expressions for the correlation functions and heat capacity of finite clusters applicable in the entire range of temperature and external fields. We analyze the obtained thermodynamic characteristics depending on the interaction parameters, the external magnetic field, and the number of particles in the cluster. We find an anomalous behavior of the heat capacity and other thermodynamic quantities due to elementary spin gap excitations occurring in the spectrum. The absence of a long-range order in the system is ensured by the presence of topological excitations (solitons). We study the effect of an anisotropic interaction parameter on the soliton structure.

Keywords: spin–spin interaction, thermodynamics, spin cluster, correlation function, heat capacity

DOI: https://doi.org/10.4213/tmf6569

Full text: PDF file (746 kB)
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English version:
Theoretical and Mathematical Physics, 2010, 165:1, 1371–1386

Bibliographic databases:

Document Type: Article
Received: 28.10.2009
Revised: 01.04.2010

Citation: A. A. Khamzin, R. R. Nigmatullin, “Thermodynamics of the model of equal spin–spin interactions”, TMF, 165:1 (2010), 160–176; Theoret. and Math. Phys., 165:1 (2010), 1371–1386

Citation in format AMSBIB
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\paper Thermodynamics of the~model of equal spin--spin interactions
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\vol 165
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\pages 160--176
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\jour Theoret. and Math. Phys.
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78149472696}


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  • https://doi.org/10.4213/tmf6569
  • http://mi.mathnet.ru/eng/tmf/v165/i1/p160

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Khamzin, R. R. Nigmatullin, “The NMR line shape of a system of nuclear spins with equal spin–spin coupling constants”, Theoret. and Math. Phys., 167:1 (2011), 496–505  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. Khamzin A.A., Nigmatullin R.R., Alekhin A.P., Sitdikov A.S., Nikitin A.S., “The NMR line shape of magneto-active nanoclusters in moveable nano-containers with self-similar stochastic dynamics”, International Conference on Resonances in Condensed Matter: Altshuler100, Journal of Physics Conference Series, 324, 2011  crossref  isi  scopus
    3. Khamzin A.A., Sitdikov A.S., Nikitin A.S., “Dynamics of nuclear spins with equal constants of spin-spin interaction”, Bulletin of the Russian Academy of Sciences: Physics, 75:4 (2011), 574–579  crossref  zmath  elib  scopus
    4. Kuznetsov A.V., “The Heisenberg Molecule”, Phys. Metals Metallogr., 115:4 (2014), 315–318  crossref  adsnasa  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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