Experimental determination of the non-extensive entropic parameter $q$

Details Experimental determination of the non-extensive entropic parameter $q$ Experimental determination of the non-extensive entropic parameter $q$

2005-12-09

arxiv.org/abs/cond-mat/0512208v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevB.73.092401

We show how to extract the $q$ parameter from experimental data, considering an inhomogeneous magnetic system composed by many Maxwell-Boltzmann homogeneous parts, which after integration over the whole system recover the Tsallis non-extensivity. Analyzing the cluster distribution of La$_{0.7}$Sr$_{0.3}$MnO$_{3}$ manganite, obtained through scanning tunnelling spectroscopy, we measure the $q$ parameter and predict the bulk magnetization with good accuracy. The connection between the Griffiths phase and non-extensivity is also considered. We conclude that the entropic parameter embodies information about the dynamics, the key role to describe complex systems.

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