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Spontaneous magnetization probability distribution of a mean-field finite Ising model exhibiting a tricritical point

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  • Velasco, S.
  • White, J.A.
  • Güémez, J.

Abstract

The mean field equilibrium magnetization distribution for a finite-size Ising model with pair and quartet interactions is used to monitor the first- and second-order phase transitions exhibited by this system. In the first-order transition region (triple point line) the magnetization distribution has three peaks of equal height, while in the second-order transition region (critical point line) this distribution shows a plateau. Triple and critical point lines meet at the tricritical point. A complete picture of the phase diagrm both for a finite-size lattice and at the thermodynamic limit is reported. An analysis of the fluctuations of the equilibrium magnetization per spin shows that they are O(N−12) for a paramagnetic or ferromagnetic equilibrium point, while they are O(N−14) for a critical point and O(N−16) for the tricritical point. Finite-size effects on the mean absolute value of the magnetization per spin and on the specific heat are also analyzed.

Suggested Citation

  • Velasco, S. & White, J.A. & Güémez, J., 1996. "Spontaneous magnetization probability distribution of a mean-field finite Ising model exhibiting a tricritical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(1), pages 141-157.
    • Handle: RePEc:eee:phsmap:v:227:y:1996:i:1:p:141-157
    DOI: 10.1016/0378-4371(95)00412-2
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    References listed on IDEAS

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    1. Binder, K., 1986. "Decay of metastable and unstable states: Mechanisms, concepts and open problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 35-43.
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