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Publications Influence

Generalized statistical mechanics : connection with thermodynamics

- E. Curado, C. Tsallis
- Mathematics
- 21 January 1991

The authors show the manner through which the recent generalization by Tsallis (1988) of the Boltzmann-Gibbs statistics becomes consistent with a generalized thermodynamics preserving the… Expand

534 8- PDF

Derivation of nonlinear Fokker-Planck equations by means of approximations to the master equation.

- E. Curado, F. D. Nobre
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 21 February 2003

Nonlinear Fokker-Planck equations (FPEs) are derived as approximations to the master equation, in cases of transitions among both discrete and continuous sets of states. The nonlinear effects,… Expand

61 2

Dynamics of normal and anomalous diffusion in nonlinear Fokker-Planck equations

- V. Schwämmle, E. Curado, F. D. Nobre
- Physics
- 13 May 2009

AbstractConsequences of the connection between nonlinear Fokker-Planck equations
and entropic forms are investigated. A particular emphasis is given to
the feature that different nonlinear… Expand

35 2

Consequences of the H theorem from nonlinear Fokker-Planck equations.

- V. Schwämmle, F. D. Nobre, E. Curado
- Medicine, Physics
- Physical review. E, Statistical, nonlinear, and…
- 20 July 2007

A general type of nonlinear Fokker-Planck equation is derived directly from a master equation, by introducing generalized transition rates. The H theorem is demonstrated for systems that follow those… Expand

72 1- PDF

General aspects of the thermodynamical formalism

- E. Curado
- Physics
- 1 March 1999

We present some recent developments concerning general aspects of the thermodynamical formalism. Through simple arguments, we exhibit some basic entropies that have most of the thermodynamic… Expand

40 1- PDF

Entropy production and nonlinear Fokker-Planck equations.

- G. A. Casas, F. D. Nobre, E. Curado
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 27 December 2012

The entropy time rate of systems described by nonlinear Fokker-Planck equations--which are directly related to generalized entropic forms--is analyzed. Both entropy production, associated with… Expand

27 1- PDF

Generalized Archie law — application to petroleum reservoirs

- C. Tsallis, E. Curado, +4 authors R. Beer
- Physics
- 15 December 1992

The experimental formation factor (F) vs. porosity (φ) as well as resistivity index (I) vs. water saturation (Sw) results typically present, in double-logarithmic representation, bendings which we… Expand

8 1

From the nonlinear Fokker-Planck equation to the Vlasov description and back: Confined interacting particles with drag.

- A. Plastino, E. Curado, F. D. Nobre, C. Tsallis
- Physics, Medicine
- Physical review. E
- 1 February 2018

Nonlinear Fokker-Planck equations endowed with power-law diffusion terms have proven to be valuable tools for the study of diverse complex systems in physics, biology, and other fields. The… Expand

10 1

Weyl-Heisenberg integral quantization(s): a compendium

- H. Bergeron, E. Curado, J. Gazeau, L. M. Rodrigues
- Physics, Mathematics
- 24 March 2017

We present a list of formulae useful for Weyl-Heisenberg integral quantizations, with arbitrary weight, of functions or distributions on the plane. Most of these formulae are known, others are… Expand

11 1- PDF

A baby Majorana quantum formalism

- H. Bergeron, E. Curado, J. Gazeau, L. M. Rodrigues
- Physics
- 15 January 2017

The aim of the present paper is to introduce and to discuss the most basic fundamental concepts of quantum physics by means of a simple and pedagogical example. An appreciable part of its content… Expand

3 1- PDF