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 TMF, 1972, Volume 11, Number 3, Pages 413–420 (Mi tmf2880)

Transition to a boundary-value problem in the Ising model

S. V. Karyagin

Abstract: The Ising problem is regarded as a boundary-value problem for the free energy function in a space whose variables are the field and the coupling constant. This approach reduces the number of approximations, and the existing approximate methods may therefore be improved. For example, the quasiehemteal method is derived independently of the average-field modeI and is rendered sensitive to the lattice symmetry. This does not happen at the cost of the advantages of the quasiehemical method (for example, the short-range order is still allowed for accurately).

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English version:
Theoretical and Mathematical Physics, 1972, 11:3, 608–613

Citation: S. V. Karyagin, “Transition to a boundary-value problem in the Ising model”, TMF, 11:3 (1972), 413–420; Theoret. and Math. Phys., 11:3 (1972), 608–613

Citation in format AMSBIB
\Bibitem{Kar72} \by S.~V.~Karyagin \paper Transition to a boundary-value problem in the Ising model \jour TMF \yr 1972 \vol 11 \issue 3 \pages 413--420 \mathnet{http://mi.mathnet.ru/tmf2880} \transl \jour Theoret. and Math. Phys. \yr 1972 \vol 11 \issue 3 \pages 608--613 \crossref{https://doi.org/10.1007/BF01028378}