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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 2, Pages 430–437
DOI: https://doi.org/10.4213/tmf10555
(Mi tmf10555)
 

Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet

S. V. Semkin, V. P. Smagin

Vladivostok State University, Vladivostok, Russia
References:
Abstract: We consider a one-dimensional Ising model (chain) with the the nearest-neighbor interaction and with a random nonmagnetic dilution. We find the exact free energy of such a chain as a function of the impurity concentration, temperature, and the external magnetic field. In the case of antiferromagnetic interaction in the chain, we find the specific magnetization, the mean value of the product of neighboring spins, and the entropy as functions of these parameters. We study the residual system entropy.
Keywords: Ising model, diluted antiferromagnetic, magnetic frustration.
Received: 29.05.2023
Revised: 28.07.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 2, Pages 1788–1794
DOI: https://doi.org/10.1134/S0040577923110132
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Semkin, V. P. Smagin, “Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet”, TMF, 217:2 (2023), 430–437; Theoret. and Math. Phys., 217:2 (2023), 1788–1794
Citation in format AMSBIB
\Bibitem{SemSma23}
\by S.~V.~Semkin, V.~P.~Smagin
\paper Free energy, entropy, and magnetization of a~one-dimensional
Ising model of a~diluted magnet
\jour TMF
\yr 2023
\vol 217
\issue 2
\pages 430--437
\mathnet{http://mi.mathnet.ru/tmf10555}
\crossref{https://doi.org/10.4213/tmf10555}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4670400}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...217.1788S}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 217
\issue 2
\pages 1788--1794
\crossref{https://doi.org/10.1134/S0040577923110132}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85177651879}
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  • https://doi.org/10.4213/tmf10555
  • https://www.mathnet.ru/eng/tmf/v217/i2/p430
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:35
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