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Expression of the partition functions of the Ising model in terms of infinite determinants

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Abstract

An expression is proposed for the partition function for Ising problems for two-dimensional, three-dimensional, and disordered systems in terms of infinite determinants. This method permits outlining a number of problems which can be solved at this time and extracting the specific difficulty which is common to all unsolved problems of similar type.

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Literature cited

  1. H. S. Green and C. A. Hurst, Order-Disorder Phenomena, London-New York-Sydney (1964).

  2. M. Kac and J. C. Ward, Phys. Rev.,88, 1332 (1952).

    Google Scholar 

  3. V. G. Vdovichenko, Zh. Eksp. Teor. Fiz.,74., 715 (1964).

    Google Scholar 

  4. V. G. Vaks, A. I. Larkin, and Yu. Ovchinnikov, Zh. Eksp. Teor. Fiz.,48, 1180 (1965).

    Google Scholar 

  5. E. Montroll, “Lectures on the Ising model,” in: Stability and Phase Transitions [Russian translation], Mir, Moscow (1973).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 72–76, June, 1979.

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Men', B.A. Expression of the partition functions of the Ising model in terms of infinite determinants. Soviet Physics Journal 22, 629–632 (1979). https://doi.org/10.1007/BF00891556

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  • DOI: https://doi.org/10.1007/BF00891556

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