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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 54, Number 1, Pages 8–22
(Mi tmf4360)
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This article is cited in 15 scientific papers (total in 17 papers)
A statistical physics model
V. S. Vladimirov, I. V. Volovich
Abstract:
A Gaussian model on a half-axis with interaction given by a Toeptitz form is
considered. The free energy and correlation functions are calculated. A new
method of inverting Toeplitz matrices and solving the generalized Wiener-Hopf
problem is used. The asymptotic behavior of the correlation functions is studied
and the conditions for the presence or absence of long-range order are established. The free energyand correlation functions are calculated for a Gaussian model with external field. An expression is obtained for the free energy of a multidimensional Gaussian model.
Received: 07.07.1982
Citation:
V. S. Vladimirov, I. V. Volovich, “A statistical physics model”, TMF, 54:1 (1983), 8–22; Theoret. and Math. Phys., 54:1 (1983), 1–12
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https://www.mathnet.ru/eng/tmf4360 https://www.mathnet.ru/eng/tmf/v54/i1/p8
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Abstract page: | 644 | Full-text PDF : | 165 | References: | 66 | First page: | 5 |
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