Abstract:
The one-dimensional Ising problem for spin S=1 is solved by the method of two-time Green's
functions. The chain of equations of motion admit exact decoupling and they lead to a set of
exact relationships for the correlation functions, which are investigated by the “method of
difference equations”. The general form of the spatial structure of the correlation functions
is determined in the absence of an external magnetic field, and the main physical characteristics
are obtained for an infinite chain of spins.
Citation:
R. T. Galiullin, M. P. Zhelifonov, B. S. Nikitin, “Exact solution for the higher correlation functions of the linear spin-1 Ising model”, TMF, 12:1 (1972), 147–150; Theoret. and Math. Phys., 12:1 (1972), 720–722
\Bibitem{GalZheNik72}
\by R.~T.~Galiullin, M.~P.~Zhelifonov, B.~S.~Nikitin
\paper Exact solution for the higher correlation functions of the linear spin-1 Ising model
\jour TMF
\yr 1972
\vol 12
\issue 1
\pages 147--150
\mathnet{http://mi.mathnet.ru/tmf2978}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 12
\issue 1
\pages 720--722
\crossref{https://doi.org/10.1007/BF01030048}
Linking options:
https://www.mathnet.ru/eng/tmf2978
https://www.mathnet.ru/eng/tmf/v12/i1/p147
This publication is cited in the following 4 articles:
A.A. Khamzin, R.R. Nigmatullin, “Thermodynamic and magnetic properties of the finite spin complexes of the Ising type”, Physica B: Condensed Matter, 440 (2014), 138
G. O. Berim, R. G. Kamalov, “Relaxation of the energy density in a linear Ising system at low temperatures”, Soviet Journal of Low Temperature Physics, 11:12 (1985), 703
R. Z. Bariev, M. P. Zhelifonov, “Linear transformation matrix for the correlation functions of the Ising model”, Theoret. and Math. Phys., 25:2 (1975), 1132–137
R.Z. Bariev, M.P. Zhelifonov, “The new formulation of ising problem”, Physics Letters A, 50:2 (1974), 105
Citation in format AMSBIB
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