Experimental determination of the non-extensive entropic parameter q
M. S. Reis, V. S. Amaral, R. S. Sarthour, I. S. Oliveira
Abstract
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 La0.7Sr0.3MnO3 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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