Estimating the nonextensivity of systems from experimental data: A nonlinear diffusion equation approach

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Abstract

We consider nonextensive systems that are related to the nonextensive entropy proposed by Tsallis and can be described by means of the nonlinear porous medium equation and the nonlinear Fokker-Planck equation proposed by Plastino and Plastino. We show how to determine the degree of nonextensivity of these systems from experimental data. Both transient and stationary cases are addressed. © 2004 Elsevier B.V. All rights reserved.

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Frank, T. D., & Friedrich, R. (2005). Estimating the nonextensivity of systems from experimental data: A nonlinear diffusion equation approach. Physica A: Statistical Mechanics and Its Applications, 347, 65–76. https://doi.org/10.1016/j.physa.2004.08.031

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