• Corpus ID: 14700811

Nonlinear differential equations based on nonextensive Tsallis entropy and physical applications

@article{Mendes1999NonlinearDE,
  title={Nonlinear differential equations based on nonextensive Tsallis entropy and physical applications},
  author={Renio S. Mendes and Isabel Tamara Pedron},
  journal={arXiv: Statistical Mechanics},
  year={1999}
}
A family of nonlinear ordinary differential equations with arbitrary order is obtained by using nonextensive concepts related to the Tsallis entropy. Applications of these equations are given here. In particular, a connection between Tsallis entropy and the one-dimensional correlated anomalous diffusion equation is established. It is also developed explicitly a WKB-like method for second order equations and it is applied to solve approximately a class of equations that contains as a special… 
A Simple Model for the Entropy of a System With Interacting Particles
TLDR
This work shows a possible explanation about the physical interpretation of parameter q in the Tsallis theory and the connection between the entropy of Tsalli and Boltzmann-Shannon; under the concept of the dissipaters this theory does not exclude them since the way in which the energy is dissipated is in a certain way shared.
SOBRE ASPECTOS MATEMÁTICOS EN TERMOESTADÍSTICA GENERALIZADA.
El presente trabajo esta orientado a presentar los aspectos mas relevantes de la termoestadistica generalizada de Tsallis, obtenida a partir del formalismo de funciones _-deformadas de Naudts y

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