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In this work, we elucidate the mathematical structure of the integral that arises when computing the electron-ion temperature equilibration time for a homogeneous weakly-coupled plasma from the Lenard-Balescu equation. With some minor…

This is the second in a series of two lectures on the technique of dimensional continuation, a new method for analytically calculating certain energy transport quantities in a weakly to moderately coupled plasma. Recently, this method was…

Plasma Physics · Physics 2007-12-06 Robert L. Singleton

Brown, Preston, and Singleton (BPS) produced an analytic calculation for energy exchange processes for a weakly to moderately coupled plasma: the electron-ion temperature equilibration rate and the charged particle stopping power. These…

Plasma Physics · Physics 2009-06-26 Lowell S. Brown , Robert L. Singleton

Accurate prediction of electron temperature ($T_{\rm e}$) in non-equilibrium {plasma} flows is critical, yet hampered by inadequate models for electron heating from vibrationally excited states. Prior models often relied on ad-hoc scaling…

Plasma Physics · Physics 2025-09-23 Felipe Martin Rodriguez Fuentes , Bernard Parent

The non-equilibrium electron-positron-photon plasma thermalization process is studied using relativistic Boltzmann solver, taking into account quantum corrections both in non-relativistic and relativistic cases. Collision integrals are…

High Energy Astrophysical Phenomena · Physics 2018-12-20 M. A. Prakapenia , I. A. Siutsou , G. V. Vereshchagin

We initiate the study of equilibration rates of strongly coupled quark-gluon plasmas in the absence of conformal symmetry. We primarily consider a supersymmetric mass deformation within ${\cal N}=2^{*}$ gauge theory and use holography to…

High Energy Physics - Theory · Physics 2015-06-24 Alex Buchel , Michal P. Heller , Robert C. Myers

We discuss a method to calculate with quantum molecular dynamics simulations the rate of energy exchanges between electrons and ions in two-temperature plasmas, liquid metals and hot solids. Promising results from this method were recently…

Computational Physics · Physics 2020-02-05 Jacopo Simoni , Jérôme Daligault

We present a theory for the rate of energy exchange between electrons and ions -- also known as the electron-ion coupling factor -- in physical systems ranging from hot solid metals to plasmas, including liquid metals and warm dense matter.…

Plasma Physics · Physics 2019-10-16 Jerome Daligault , Jacopo Simoni

Accurate prediction of electron temperature ($T_{\rm e}$) is critical for non-equilibrium plasma applications ranging from hypersonic flight to plasma-assisted combustion. We recently proposed a thermodynamically consistent model for…

Plasma Physics · Physics 2026-03-13 Bernard Parent , Felipe Martin Rodriguez Fuentes

Thermal equilibrium rate can play an important role in the energy deposition of beam to the fuel in fast ignition due to high temperature difference between projectile ions and background plasma ions. In this study the temperature…

Plasma Physics · Physics 2017-12-14 M. Mahdavi , R. Azadifar , T. Khoorokhi

Thermodynamic properties of the electron-positron plasma (or gas) at high and very high temperatures are investigated. To achieve this goal we have derived a number of analytical formulas for the Fermi-Dirac distribution functions (or…

Plasma Physics · Physics 2023-01-16 Alexei M. Frolov

To analyze nonidealities inherent to degenerate plasma, a quantum collective approach is developed. Thermodynamic functions of a system of partially degenerate electrons and strongly coupled ions are derived from first principles. The model…

Plasma Physics · Physics 2007-05-23 Abdelhamid Khalfaoui , Djamila Bennaceur-Doumaz

We present a model for the rate of temperature relaxation between electrons and ions in plasmas. The model includes self-consistently the effects of particle screening, electron degeneracy and correlations between electrons and ions. We…

Plasma Physics · Physics 2015-05-13 Jérôme Daligault , Guy Dimonte

We present a new model of electron transport in warm and hot dense plasmas which combines the quantum Landau-Fokker-Planck equation with the concept of mean-force scattering. We obtain electrical and thermal conductivities across several…

Plasma Physics · Physics 2020-05-27 Nathaniel R. Shaffer , Charles E. Starrett

Fermi Dirac free electron model is applied to very dense plasmas with medium or low temperatures. While Boltzmann statistics can lead to very high densities of ionized electrons, only at very high temperatures, Fermi Dirac statistics can…

Plasma Physics · Physics 2018-05-03 Y. Ben-Aryeh

Quantum thermodynamics is aimed at grasping thermodynamic laws as they apply to thermal machines operating in the deep quantum regime, a regime in which coherences and entanglement are expected to matter. Despite substantial progress,…

Accurate prediction of electron temperature ($T_{\rm e}$) in non-equilibrium plasma flows is critical for applications ranging from hypersonic flight to plasma-assisted combustion. We recently proposed a thermodynamically consistent model…

Plasma Physics · Physics 2025-12-01 Bernard Parent , Felipe Martin Rodriguez Fuentes

We present an approach to extend plasma transport theory into the Warm Dense Matter (WDM) regime characterized by moderate Coulomb coupling and electron degeneracy. It is based on a recently proposed closure of the BBGKY hierarchy that…

Plasma Physics · Physics 2020-01-31 Shane Rightley , Scott D. Baalrud

We investigate the effects of collective modes on the temperature relaxation rates in fully coupled electron-ion systems. Firstly, the well-understood limit of weakly coupled plasmas is considered and the coupled mode formula within the…

Plasma Physics · Physics 2015-05-13 J. Vorberger , D. O. Gericke

Different methods to extract the temperature and density in heavy ion collisions are compared using a statistical model tailored to reproduce many experimental features at low excitation energy. The model assumes a sequential decay of an…

Nuclear Theory · Physics 2014-11-04 H. Zheng , G. Bonasera , J. Mabiala , P. Marini , A. Bonasera
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