In this paper we analyze the spin-wave excitations (magnons) of an inhomogeneous spin system within the Boltzmann-Gibbs framework and then connect the results with the nonextensive approach (in the sense of Tsallis statistics). Considering an equivalence between those two frameworks, we could connect the entropic parameter q with moments of the distribution of exchange integrals of the inhomogenous system. It ratifies the idea that the entropic parameter is connected to the microscopic properties of the system.
@article{arxiv.0706.2201,
title = {Spin-waves in a complex magnetic system: nonextensive approach},
author = {D. O. Soares-Pinto and M. S. Reis and R. S. Sarthour and I. S. Oliveira},
journal= {arXiv preprint arXiv:0706.2201},
year = {2009}
}