Abstract:
Scaling properties of the Gibbs distribution of a finite-size one-dimensional Ising model are investigated as the thermodynamic limit is approached. It is shown that, for each nonzero temperature, coarse-grained probabilities of the appearance of particular energy levels display multiscaling with the scaling length ℓ = 1/M n, where n denotes the number of spins and Mn is the total number of energy levels. Using the multifractal formalism, the probabilities are argued to reveal also multifractal properties.
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Received 10 July 2000 and Received in final form 6 November 2000
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Jeżewski, W. Multiscaling and multifractality in an one-dimensional Ising model. Eur. Phys. J. B 19, 133–138 (2001). https://doi.org/10.1007/s100510170358
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DOI: https://doi.org/10.1007/s100510170358