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Thermodynamic limit for the one-dimensional Ising systems with random interaction of finite range

T. Morita

Physica A: Statistical Mechanics and its Applications, 1977, vol. 87, issue 1, 117-131

Abstract: The existence of the thermodynamic limit is proved for the random one-dimensional Ising systems under the assumption that the interaction energies are random variables taking on continuous values and the distribution of the random variables is given by a continuous function. It is assumed that the total number of possible configurations for each lattice site is finite and the range of interaction is finite.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:87:y:1977:i:1:p:117-131

DOI: 10.1016/0378-4371(77)90170-4

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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