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 TMF, 1982, Volume 50, Number 2, Pages 286–300 (Mi tmf2110)

Statistical mechanics of a paramagnetic chain

Abstract: The transfer matrix method is used to find the exact partitiorJ function in the thermodynamic limit of a two-level system coupled to a one-dimensional elastic, cyclically closed chain of atoms. The number of two-level objects ($\dfrac12$ spins) is equal to the number of degrees of freedom of the chain (the number of modes). The spin system is in a transverse field $\omega_0$, and the chain in a linear potential $\alpha\varphi^2$. The following results are obtained. At $\omega_0=0$, the problem is equivalent to the one-dimensional Kac model with antiferromagnetic exchange interaction between the spins. There is no phase transition in the system at any $\omega_0$ in contrast to the case with a finite number of field modes. The interaction of the spins with the lattice suppresses the Curie paramagnetism, and in the limit $T\to0$ the transverse susceptibility of the system remains finite.

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English version:
Theoretical and Mathematical Physics, 1982, 50:2, 186–196

Bibliographic databases:

Citation: A. F. Sadreev, “Statistical mechanics of a paramagnetic chain”, TMF, 50:2 (1982), 286–300; Theoret. and Math. Phys., 50:2 (1982), 186–196

Citation in format AMSBIB
\Bibitem{Sad82} \by A.~F.~Sadreev \paper Statistical mechanics of a~paramagnetic chain \jour TMF \yr 1982 \vol 50 \issue 2 \pages 286--300 \mathnet{http://mi.mathnet.ru/tmf2110} \transl \jour Theoret. and Math. Phys. \yr 1982 \vol 50 \issue 2 \pages 186--196 \crossref{https://doi.org/10.1007/BF01015300} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982PH72200010} 

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This publication is cited in the following articles:
1. A. F. Sadreev, “Statistical mechanics of an elastic Ising chain with exchange striction”, Theoret. and Math. Phys., 55:1 (1983), 393–399
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