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Multifractal analysis of first-order phase transitions in an Ising system with four-spin interactions

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  • Jeżewski, W

Abstract

The multifractal formalism is applied for investigating probability measures of energy levels of an Ising model with four-spin interactions on finite-size hexagonal lattices. The Hölder exponent characterizing singularities of these measures is determined as a function of the temperature variable and the ratio of the strength of four-spin interactions to the strength of two-spin couplings. It is shown that for the variable values at which the system reveals the existence of a precursor of the first-order phase transition, the maximal Hölder exponent, associated with the energy region of the most concentrated probability measure, possesses a minimum, which is nondifferentiable with respect to temperature.

Suggested Citation

  • Jeżewski, W, 2000. "Multifractal analysis of first-order phase transitions in an Ising system with four-spin interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 235-242.
    • Handle: RePEc:eee:phsmap:v:278:y:2000:i:1:p:235-242
    DOI: 10.1016/S0378-4371(99)00567-1
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