Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-01-14
Physics
Condensed Matter
Statistical Mechanics
8 pages double column formatted + 13 figures. Submitted to Phys. Rev. B. Version 2 available to suppress technical problems wi
Scientific paper
10.1103/PhysRevB.68.014404
In the present paper we make a thorough analysis of a classical spin system, within the framework of Tsallis nonextensive statistics. From the analysis of the generalized Gibbs free energy, within the mean-field approximation, a para-ferromagnetic phase diagram, which exhibits first and second order phase transitions, is built. The features of the generalized, and classical, magnetic moment are mainly determined by the values of $q$, the non-extensive parameter. The model is successfully applied to the case of La$_{0.60}$Y$_{0.07}$Ca$_{0.33}$MnO$_3$ manganite. The temperature and magnetic field dependence of the experimental magnetization on this manganite are faithfully reproduced. The agreement between rather "exotic" magnetic properties of manganites and the predictions of the $q$-statistics, comes to support our early claim that these materials are magnetically nonextensive objects.
Amaral Vitor S.
Araujo J.-P.
Oliveira I. S.
Reis M. S.
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