Evaluating the Adiabatic Invariants in Magnetized Plasmas Using a Classical Ehrenfest Theorem [PDF]
Entropy, 2023 In this article, we address the reliance on probability density functions to obtain macroscopic properties in systems with multiple degrees of freedom as plasmas, and the limitations of expensive techniques for solving Equations such as Vlasov’s.
Abiam Tamburrini +2 more
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On the Simplification of Statistical Mechanics for Space Plasmas [PDF]
Entropy, 2017 Space plasmas are frequently described by kappa distributions. Non-extensive statistical mechanics involves the maximization of the Tsallis entropic form under the constraints of canonical ensemble, considering also a dyadic formalism between the ...
George Livadiotis
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Derivation of the entropic formula for the statistical mechanics of space plasmas [PDF]
Nonlinear Processes in Geophysics, 2018 Kappa distributions describe velocities and energies of plasma populations in space plasmas. The statistical origin of these distributions is associated with the framework of nonextensive statistical mechanics.
G. Livadiotis
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Super Transition Arrays: A Tool for Studying Spectral Properties of Hot Plasmas
Plasma, 2021 For the theoretical study of X and extreme-UV spectra of ions in plasmas, quantum mechanics brings more detailed results than statistical physics. However, it is impossible to handle individually the billions of levels that must be taken into account in ...
Jean-Christophe Pain
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Fingerprints of nonequilibrium stationary distributions in dispersion relations
Scientific Reports, 2021 Distributions different from those predicted by equilibrium statistical mechanics are commonplace in a number of physical situations, such as plasmas and self-gravitating systems.
Kamel Ourabah
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Evidence of Large-Scale Quantization in Space Plasmas
Entropy, 2013 In plasmas, Debye screening structures the possible correlations between particles. We identify a phase space minimum h* in non-equilibrium space plasmas that connects the energy of particles in a Debye sphere to an equivalent wave frequency.
George Livadiotis, David J. McComas
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Lorentzian Entropies and Olbert's κ - Distribution
Frontiers in Physics, 2020 This note derives the various forms of entropy of a systems subject to Olbert distributions (generalized Lorentzian probability distributions known as κ-distributions), which are frequently observed, particularly in high-temperature plasmas.
Rudolf A. Treumann +2 more
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Kappa Distributions: Statistical Physics and Thermodynamics of Space and Astrophysical Plasmas
Universe, 2018 Kappa distributions received impetus as they provide efficient modelling of the observed particle distributions in space and astrophysical plasmas throughout the heliosphere.
George Livadiotis
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Equilibrium and out of equilibrium phase transitions in systems with long range interactions and in 2D flows [PDF]
, 2007 In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate.
Alessandro Campa +6 more
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Statistical Mechanics of Quantum Plasmas Path Integral Formalism [PDF]
International Astronomical Union Colloquium, 1994 AbstractIn this review, we consider a quantum Coulomb fluid made of charged point particles (typically electrons and nuclei). We describe various formalisms which start from the first principles of statistical mechanics. These methods allow systematic calculations of the equilibrium quantities in some particular limits.
openaire +1 more source