Abstract:
For the Ising model with short range, approximations similar to the Percus–Yevick
approximation are constructed. It is shown that among them one can select a complete class of approximations, call Percus–Yevick type approximations, which can be solved exactly. Near the critical point, the solution thus obtained gives the classical values of the critical indices. It is shown that one can readily construct an approximation of the Percus–Yevick type with an equation of state satisfying the scaling hypothesis.
Citation:
V. L. Kuz'min, “Percus–Yevick type approximations and the Ising model”, TMF, 28:3 (1976), 389–397; Theoret. and Math. Phys., 28:3 (1976), 863–868
\Bibitem{Kuz76}
\by V.~L.~Kuz'min
\paper Percus--Yevick type approximations and the Ising model
\jour TMF
\yr 1976
\vol 28
\issue 3
\pages 389--397
\mathnet{http://mi.mathnet.ru/tmf4275}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 28
\issue 3
\pages 863--868
\crossref{https://doi.org/10.1007/BF01029180}
Linking options:
https://www.mathnet.ru/eng/tmf4275
https://www.mathnet.ru/eng/tmf/v28/i3/p389
This publication is cited in the following 3 articles:
Yu. K. Tovbin, “Kinetic Equations of Physicochemical Processes with Allowance for Multi-Particle Effects in the Lattice Gas Model”, Russ. J. Phys. Chem., 96:2 (2022), 278
V. L. Kuz'min, “Small-parameter series for the surface tension in a lattice model”, Theoret. and Math. Phys., 76:3 (1988), 961–967
V. M. Sysoev, A. V. Chalyi, “Integral equations for radial distribution function with effective allowance for long-range interaction”, Theoret. and Math. Phys., 44:2 (1980), 725–732
Citation in format AMSBIB
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