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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… Expand

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.Expand

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… Expand

The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic… Expand