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By a natural nonextensive generalization of the conservation of energy in the q-kinetic theory, we study the nonextensivity and the power-law distributions for the many-body systems with the self-gravitating long-range interactions. It is…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

The debate surrounding fast magnetic energy dissipation by magnetic reconnection has remained a fundamental topic in the plasma universe, not only in the Earth's magnetosphere but in astrophysical objects such as pulsar magnetospheres and…

High Energy Astrophysical Phenomena · Physics 2021-06-22 Masahiro Hoshino

The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power law distribution suggested by the nonextensive…

Astrophysics · Physics 2011-07-19 J. A. S. Lima , R. E. de Souza

Fast collisionless shocks in cosmic plasmas convert their kinetic energy flow into the hot downstream thermal plasma with a substantial fraction of energy going into a broad spectrum of superthermal charged particles and magnetic…

High Energy Astrophysical Phenomena · Physics 2017-04-05 Andrei M. Bykov , Donald C. Ellison , Sergei M. Osipov

A proof of the relativistic $H$-theorem by including nonextensive effects is given. As it happens in the nonrelativistic limit, the molecular chaos hypothesis advanced by Boltzmann does not remain valid, and the second law of thermodynamics…

Statistical Mechanics · Physics 2009-11-11 R. Silva , J. A. S. Lima

For plasma velocity space instabilities driven by particle distributions significantly deviated from a Maxwellian, weak collisions can damp the instabilities by an amount that is significantly beyond the collisional rate itself. This is…

Plasma Physics · Physics 2023-03-15 Yanzeng Zhang , Xian-Zhu Tang

When a particle moves through a spatially-random force field, its momentum may change at a rate which grows with its speed. Suppose moreover that a thermal bath provides friction which gets weaker for large speeds, enabling high-energy…

Statistical Mechanics · Physics 2020-07-01 Tirthankar Banerjee , Urna Basu , Christian Maes

We discuss dissipative processes in strongly gyrotropic, nearly collisionless plasma in clusters of galaxies (ICM). First, we point out that Braginsky theory, which assumes that collisions are more frequent that the system's dynamical time…

Astrophysics · Physics 2009-11-13 Maxim Lyutikov

The outflows from gamma ray bursts, active galactic nuclei and relativistic jets in general interact with the surrounding media through collisionless shocks. With three dimensional relativistic particle-in-cell simulations we investigate…

Astrophysics · Physics 2010-11-11 C. B. Hededal , T. Haugboelle , J. T. Frederiksen , Å. Nordlund

Relativistic magnetic turbulence has been proposed as a process for producing nonthermal particles in high-energy astrophysics. Particle energization may be contributed by both magnetic reconnection and turbulent fluctuations, but their…

High Energy Astrophysical Phenomena · Physics 2024-12-18 Divjyot Singh , Omar French , Fan Guo , Xiaocan Li

In this paper we recall for physicists how it is possible, using the principle of maximization of the Boltzmann-Shannon entropy, to derive the Burr-Bingh-Maddala (burr12) double power law probability distribution function and its…

Disordered Systems and Neural Networks · Physics 2016-04-19 F. Brouers

We develop first-principles theory of kinetic plasma turbulence governed by the Vlasov-Maxwell-Landau equations in the limit of vanishing collision rates. Following an exact renormalization-group approach pioneered by Onsager, we…

Plasma Physics · Physics 2018-11-14 Gregory L. Eyink

The Principle of Maximum Entropy, a powerful and general method for inferring the distribution function given a set of constraints, is applied to deduce the overall distribution of 3D plasmoids (flux ropes/tubes) for systems where resistive…

High Energy Astrophysical Phenomena · Physics 2018-01-22 Manasvi Lingam , Luca Comisso

The dispersion laws of Langmuir and transverse waves are calculated in the relativistic non-magnetized formalism for several isotropic particle distributions: thermal, power-law, relativistic Lorentzian $\kappa,$ and hybrid $\beta$. For…

Plasma Physics · Physics 2009-11-13 Roman V. Shcherbakov

The Washimi and Karpman ponderomotive interaction due to electromagnetic waves propagation is investigated for unmagnetized plasmas described by a isotropic Kappa distribution. We performed a brief analysis of the influence of the Kappa…

Plasma Physics · Physics 2023-05-10 Joaquín Espinoza-Troni , Felipe A Asenjo , Pablo S Moya

In classical thermodynamics the entropy is an extensive quantity, i.e.\ the sum of the entropies of two subsystems in equilibrium with each other is equal to the entropy of the full system consisting of the two subsystems. The extensitivity…

Plasma Physics · Physics 2018-12-05 H. Fichtner , K. Scherer , M. Lazar , H. J. Fahr , Z. Vörös

Spatial intermittency in fully developed turbulence is an established feature of astrophysical plasma fluctuations and in particular apparent in the interplanetary medium by in situ observations. In this situation the classical…

Astrophysics · Physics 2017-08-02 M. P. Leubner , Z. Voros , W. Baumjohann

Turbulent, relativistic nonthermal plasmas are ubiquitous in high-energy astrophysical systems, as inferred from broadband nonthermal emission spectra. The underlying turbulent nonthermal particle acceleration (NTPA) processes have…

High Energy Astrophysical Phenomena · Physics 2025-10-08 Kai W. Wong , Vladimir Zhdankin , Dmitri A. Uzdensky , Gregory R. Werner , Mitchell C. Begelman

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers , Susan B. Rempe

We present evidence that relativistic shocks propagating in unmagnetized plasmas can self-consistently accelerate particles. We use long-term two-dimensional particle-in-cell simulations to study the well-developed shock structure in…

Astrophysics · Physics 2009-11-13 Anatoly Spitkovsky