Add to ORKGIn this Letter, we determine the kappa-distribution function for a gas in the presence of an external field of force described by a potential U(r). In the case of a dilute gas, we show that the kappa-power law distribution including the potential energy factor term can rigorously be deduced in the framework of kinetic theory with basis on the Vlasov equation. Such a result is significant as a preliminary to the discussion on the role of long range interactions in the Kaniadakis thermostatistics and the underlying kinetic theory. (C) 2008 Elsevier B.V. All rights reserved
Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-ty...
The energy distributions functions of different species (electrons, protons and heavy ions) deter-mi...
The dynamics and thermostatistics of a classical inertial XY model, characterized by long-range inte...
In this Letter, we determine the kappa-distribution function for a gas in the presence of an externa...
The kappa distributions, or their equivalent, the q-exponential distributions, are the natural gene...
AbstractIn this letter we discuss two aspects of non-Gaussian statistics. In the first, we show that...
The Maxwell-Boltzmann and Maxwell-Juttner energy distributions appear frequently in the literature. ...
We study long-range interacting systems perturbed by external stochastic forces. Unlike the case of ...
Boltzmann-Gibbs (BG) entropy has additive and extensive properties, but for certain physical systems...
We present some arguments in favor of an H-theorem for a generalization of the Boltzmann equation in...
Space plasmas are frequently described by kappa distributions. Non-extensive statistical mechanics i...
It is demonstrated that the statistical mechanical partition function can be used to construct vario...
Herein we study energy exchange models of multiple interacting agents that conserve energy in each i...
Given the suggestion of the possibility that the neutral kaon mass difference (delta)m, the decay wi...
The statistical distribution function introduced by Boltzmann and his ki- netic equation are the fu...
Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-ty...
The energy distributions functions of different species (electrons, protons and heavy ions) deter-mi...
The dynamics and thermostatistics of a classical inertial XY model, characterized by long-range inte...
In this Letter, we determine the kappa-distribution function for a gas in the presence of an externa...
The kappa distributions, or their equivalent, the q-exponential distributions, are the natural gene...
AbstractIn this letter we discuss two aspects of non-Gaussian statistics. In the first, we show that...
The Maxwell-Boltzmann and Maxwell-Juttner energy distributions appear frequently in the literature. ...
We study long-range interacting systems perturbed by external stochastic forces. Unlike the case of ...
Boltzmann-Gibbs (BG) entropy has additive and extensive properties, but for certain physical systems...
We present some arguments in favor of an H-theorem for a generalization of the Boltzmann equation in...
Space plasmas are frequently described by kappa distributions. Non-extensive statistical mechanics i...
It is demonstrated that the statistical mechanical partition function can be used to construct vario...
Herein we study energy exchange models of multiple interacting agents that conserve energy in each i...
Given the suggestion of the possibility that the neutral kaon mass difference (delta)m, the decay wi...
The statistical distribution function introduced by Boltzmann and his ki- netic equation are the fu...
Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-ty...
The energy distributions functions of different species (electrons, protons and heavy ions) deter-mi...
The dynamics and thermostatistics of a classical inertial XY model, characterized by long-range inte...