Abstract:
The nonequilibrium statistical operator method is used to derive a
kinetic equation for the energy of the s=12 Ising model.
Explicit solutions of this equation are obtained for different
ratios of the temperature of the thermal bath and the phase
transition temperature of the spin system. In particular, energy
relaxation in the critical region is studied. The influence of the
lattice geometry and the form of the interaction between the spin
system and the thermal bath on the relaxation properties of the
model is considered.
Citation:
G. O. Berim, R. G. Kamalov, “Relaxation of the energy of the two-dimensional Ising model in the absence of an external constant magnetic field”, TMF, 59:2 (1984), 297–306; Theoret. and Math. Phys., 59:2 (1984), 513–519
\Bibitem{BerKam84}
\by G.~O.~Berim, R.~G.~Kamalov
\paper Relaxation of the energy of the two-dimensional Ising model in the absence of an external constant magnetic field
\jour TMF
\yr 1984
\vol 59
\issue 2
\pages 297--306
\mathnet{http://mi.mathnet.ru/tmf4832}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=752088}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 59
\issue 2
\pages 513--519
\crossref{https://doi.org/10.1007/BF01018188}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TT27400013}
Linking options:
https://www.mathnet.ru/eng/tmf4832
https://www.mathnet.ru/eng/tmf/v59/i2/p297
This publication is cited in the following 2 articles:
R. R. Nigmatullin, V. A. Toboev, “Thermodynamics of the two-dimensional and three-dimensional Ising models in the static fluctuation approximation”, Theoret. and Math. Phys., 80:1 (1989), 736–745
R. R. Nigmatullin, V. A. Toboev, “Correlation functions for anisotropic heisenberg model in zero magnetic field”, Theoret. and Math. Phys., 68:1 (1986), 694–701
Citation in format AMSBIB
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