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

S. Velasco, J.A. White and J. Güémez
Authors registered in the RePEc Author Service: Javier G. Gómez-Pineda

Physica A: Statistical Mechanics and its Applications, 1996, vol. 227, issue 1, 141-157

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.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:227:y:1996:i:1:p:141-157

DOI: 10.1016/0378-4371(95)00412-2

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