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Generalized statistical mechanics : connection with thermodynamics
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 theExpand
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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
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Dynamics of normal and anomalous diffusion in nonlinear Fokker-Planck equations
AbstractConsequences of the connection between nonlinear Fokker-Planck equations and entropic forms are investigated. A particular emphasis is given to the feature that different nonlinearExpand
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Consequences of the H theorem from nonlinear Fokker-Planck equations.
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 thoseExpand
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General aspects of the thermodynamical formalism
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 thermodynamicExpand
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Entropy production and nonlinear Fokker-Planck equations.
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 withExpand
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Generalized Archie law — application to petroleum reservoirs
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 weExpand
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From the nonlinear Fokker-Planck equation to the Vlasov description and back: Confined interacting particles with drag.
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. TheExpand
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Weyl-Heisenberg integral quantization(s): a compendium
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 areExpand
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A baby Majorana quantum formalism
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 contentExpand
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