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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 108, Number 3, Pages 411–420
DOI: https://doi.org/10.4213/tmf1199 (Mi tmf1199) 		 
The 16-vertex model of a ferroelectric with proton tunneling

V. N. Likhachevab, V. A. Onischukab, A. Rosenhrenab

a N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences
b Royal Institute of Technology
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DOI: https://doi.org/10.4213/tmf1199
Abstract: Thermodynamics of the 1D ferroelectric model with proton tunneling has been reduced to the calculation of the grand partition function of the 1D Ising model of spin $S=1$ in the transverse field $\Gamma$. This allows the behaviour of the initial model to be calculated in the vicinity of its thermodynamic anomaly. In the second order, the dependence of the free energy on temperature, and the tunneling parameter $\Gamma$ was found.
English version:
Theoretical and Mathematical Physics, 1996, Volume 108, Issue 3, Pages 1179–1186
DOI: https://doi.org/10.1007/BF02070244
Bibliographic databases:
Language: Russian
Citation: V. N. Likhachev, V. A. Onischuk, A. Rosenhren, “The 16-vertex model of a ferroelectric with proton tunneling”, TMF, 108:3 (1996), 411–420; Theoret. and Math. Phys., 108:3 (1996), 1179–1186
Citation in format AMSBIB
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\by V.~N.~Likhachev, V.~A.~Onischuk, A.~Rosenhren
\paper The 16-vertex model of a~ferroelectric with proton tunneling
\jour TMF
\yr 1996
\vol 108
\issue 3
\pages 411--420
\mathnet{http://mi.mathnet.ru/tmf1199}
\crossref{https://doi.org/10.4213/tmf1199}
\zmath{https://zbmath.org/?q=an:0938.82524}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 108
\issue 3
\pages 1179--1186
\crossref{https://doi.org/10.1007/BF02070244}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XE83400005}
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  • https://www.mathnet.ru/eng/tmf/v108/i3/p411
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:49
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