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The physical foundations of the dissipation of energy and the associated heating in weakly collisional plasmas are poorly understood. Here, we compare and contrast several measures that have been used to characterize energy dissipation and…

The Voyager plasma observations show that the physics of the heliosheath is rather complex, and especially that the temperature derived from observation differs from expectations. To explain this fact the temperature in the heliosheath…

The statistics of the sum of random weights where the number of weights is Poisson distributed has important applications in nuclear physics, particle physics and astrophysics. Events are frequently weighted according to their acceptance or…

Data Analysis, Statistics and Probability · Physics 2015-06-17 G. Bohm , G. Zech

In this work we introduce, for the first time, as far as we know, a complete self-consist kinetic model for collisional transport in the nonextensive statistics, i.e., the generalization of the ordinary Maxwell-Boltmzann statistics…

Plasma Physics · Physics 2018-06-08 Diego S. Oliveira , Ricardo M. O. Galvão

The isotropic Maxwell-Boltzmann (M-B) velocity distribution is the accepted standard for a gas at thermal equilibrium, with the Doppler width considered to deliver a very precise measurement of the temperature. Nevertheless, the physical…

Power exhaust is one of the main challenges for the realization of practical fusion energy production. The magnetic confinement approach to fusion often uses a divertor configuration, where power loads are critical. Recent SOLPS simulations…

Plasma Physics · Physics 2023-11-29 Stijn Kobussen

A cold electron beam propagating through a background plasma is subject to filamentation process due to theWeibel instability. If the initial beam radius is large compared with the electron skin depth and the beam density is much smaller…

Plasma Physics · Physics 2011-09-05 Vladimir Khudik , Igor Kaganovich , Gennady Shvets

We present a Monte Carlo collisional scheme that models single Compton scattering between leptons and photons in particle-in-cell codes. The numerical implementation of Compton scattering can deal with macro-particles of different weights…

Computational Physics · Physics 2020-10-28 F. Del Gaudio , T. Grismayer , R. A. Fonseca , L. O. Silva

The physics of nuclear reactions in stellar plasma is reviewed with special emphasis on the importance of the velocity distribution of ions. Then the properties (density and temperature) of the weak-coupled solar plasma are analysed,…

Nuclear Theory · Physics 2011-01-04 M. Coraddu , G. Kaniadakis , A. Lavagno , M. Lissia , G. Mezzorani , P. Quarati

The nuclear reactions in a plasma system with energy distribution deviated from Maxwellian are proved to have some unique characteristics including those in their product energy spectrum. Based on this, a new nuclear diagnostic scheme for…

Plasma Physics · Physics 2022-11-21 K. Li , Z. Y. Liu , A. D. Liu , B. Qiao

We investigate velocity statistics of homogeneous inelastic gases using the Boltzmann equation. Employing an approximate uniform collision rate, we obtain analytic results valid in arbitrary dimension. In the freely evolving case, the…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

Ultrafast optical excitation of metals induces a non-equilibrium energy distribution in the electronic system, with a characteristic step-structure determined by Pauli blocking. On a femtosecond timescale, electron-electron scattering…

We investigate a kinetic model of a system in contact with several thermal reservoirs at different temperatures $T_\alpha$. Our system is a spatially uniform dilute gas whose internal dynamics is described by the nonlinear Boltzmann…

Mathematical Physics · Physics 2014-06-17 Eric A. Carlen , Joel L. Lebowitz , Clement Mouhot

We show that a Gaussian Process model can be combined with a small number (of order 100) of scattering calculations to provide a multi-dimensional dependence of scattering observables on the experimentally controllable parameters such as…

Chemical Physics · Physics 2015-08-19 Jie Cui , Roman V. Krems

The velocity distribution of inelastic granular gas is examined numerically on two dimensional hard disk system in nearly elastic regime using molecular dynamical simulations. The system is prepared initially in the equilibrium state with…

Statistical Mechanics · Physics 2009-11-07 Hiizu Nakanishi

One considers the motion of a test particle in an homogeneous fluid in equilibrium at temperature $T$, undergoing dissipative collisions with the fluid particles. It is shown that the corresponding linear Boltzmann equation still posseses a…

Statistical Mechanics · Physics 2007-05-23 Ph. A. Martin , J. Piasecki

When multiple electron temperature diagnostics converge on the same value, the standard inference is that the measurement is robust. We show that this convergence is a structural consequence of the shared ionization bottleneck in any plasma…

Solar and Stellar Astrophysics · Physics 2026-05-21 Victor Edmonds

New data for calculation of the ionization and recombination rates have have been published in the past few years. Most of these are included in CHIANTI database. We used these data to calculate collisional ionization and recombination…

Solar and Stellar Astrophysics · Physics 2013-05-08 Elena Dzifcakova , Jaroslav Dudik

In this article we deduce a mathematical model of Maxwell-Stefan type for a reactive mixture of polyatomic gases with a continuous structure of internal energy. The equations of the model are derived in the diffusive limit of a kinetic…

Analysis of PDEs · Mathematics 2019-11-18 Benjamin Anwasia , Marzia Bisi , Francesco Salvarani , Ana Jacinta Soares

Asymmetric, non-Gaussian probability distributions are often observed in the analysis of natural and engineering datasets. The lognormal distribution is a standard model for data with skewed frequency histograms and fat tails. However, the…

Methodology · Statistics 2025-05-22 Dionissios T. Hristopulos , Anastassia Baxevani , Giorgio Kaniadakis