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We develop a new fluid model of a warm plasma that includes the radiative self-force on each plasma electron. Our approach is a natural generalization of established methods for generating fluid models without radiation reaction. The…

Plasma Physics · Physics 2013-10-29 D. A. Burton , A. Carr , J. Gratus , A. Noble

Models of relativistic heavy ion collisions typically involve both a hydrodynamic module to describe the high density liquid-like phase and a Boltzmann module to simulate the low density break-up phase which is gas-like. Coupling the…

Nuclear Theory · Physics 2010-10-27 Scott Pratt , Giorgio Torrieri

High-density low-temperature plasmas with degenerate species are considered in the limit of high Fermi velocities close to the speed of light. The small amplitude ion-acoustic solitons are studied in this regime. Presented analysis is based…

Plasma Physics · Physics 2022-07-06 Pavel A. Andreev

In this work, we present a novel framework of relativistic non-resistive dissipative magnetohydrodynamics for spin-polarized particles. Utilizing a classical relativistic kinetic equation for the distribution function in an extended…

High Energy Physics - Phenomenology · Physics 2024-01-30 Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Avdhesh Kumar , Radoslaw Ryblewski

We analyse a reduced 1D Vlasov--Maxwell system introduced recently in the physical literature for studying laser-plasma interaction. This system can be seen as a standard Vlasov equation in which the field is split in two terms: an…

Analysis of PDEs · Mathematics 2016-08-16 José A. Carrillo , Simon Labrunie

We derive the multi-component second-order dissipative relativistic hydrodynamic equations using the moment-expansion method. By computing the transport coefficients using hard-sphere interactions, we investigate the role of multiple…

High Energy Physics - Phenomenology · Physics 2022-07-15 Jin Hu , Shuzhe Shi

We present a new method for solving the relativistic Vlasov--Maxwell system of equations, applicable to a wide range of extreme high-energy-density astrophysical and laboratory environments. The method directly discretizes the kinetic…

High Energy Astrophysical Phenomena · Physics 2026-02-20 James Juno , Grant Johnson , Alexander Philippov , Ammar Hakim , Alexander Chernoglazov , Shuzhe Zeng

In hydrodynamics, for generic relaxations, the stress tensor and $U(1)$ charge current two-point functions are not time-reversal covariant. This remains true even if the Martin-Kadanoff procedure happens to yield Onsager reciprocal…

High Energy Physics - Theory · Physics 2023-09-11 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis

We examine linear and quasi-liner stages of Cherenkov-drift instability in the relativistic magnetized electron-positron plasma. The external magnetic field lines are assumed to be slightly curved. In this case the curvature drift of…

Astrophysics · Physics 2007-05-23 David Shapakidze , George Machabeli , George Melikidze , David Khechinashvili

The transition between non resonant (Weibel-type) and resonant (whistler) instabilities is investigated numerically in plasma configurations with an ambient magnetic field of increasing amplitudes. The Vlasov-Maxwell system is solved in a…

Plasma Physics · Physics 2010-08-17 L. Palodhi , F. Califano , F. Pegoraro

Based on the Newton's second law and the Maxwell equations for the electromagnetic fields, we establish a new 3D incompressible magneto-hydrodynamics(MHD) equations for the motion of plasma under the standard Coulomb gauge. By using the…

Analysis of PDEs · Mathematics 2017-10-11 Ruikuan Liu , Jiayan Yang

With the help of a semi-classical kinetic theory, a new collision kernel is proposed, which simultaneously conserves the energy-momentum tensor and the spin tensor of a relativistic fluid of spin-1/2 particles irrespective of the frame and…

High Energy Physics - Phenomenology · Physics 2025-03-12 Samapan Bhadury

Using first-principles quantum field-theoretical methods, we investigate the shear and bulk viscosities of strongly magnetized relativistic plasmas. The analysis is performed within the weak-coupling approximation and utilizes known results…

High Energy Physics - Phenomenology · Physics 2025-12-17 Ritesh Ghosh , Igor A. Shovkovy

In this article a correspondence has been established between the out of equilibrium system dissipation and the thermodynamic field redefinition of the macroscopic variables through the momentum dependent relaxation time approximation…

Nuclear Theory · Physics 2022-01-19 Sukanya Mitra

We study linearized stability in first-order relativistic viscous hydrodynamics in the most general frame. There is a region in the parameter space of transport coefficients where the perturbations of the equilibrium state are stable. This…

High Energy Physics - Theory · Physics 2019-10-22 Pavel Kovtun

We present three-dimensional solutions of the magnetohydrostatic equations in the co-rotating frame of reference outside a magnetized rigidly rotating cylinder. We make no symmetry assumption for the magnetic field, but to be able to make…

Earth and Planetary Astrophysics · Physics 2009-11-30 Thomas Neukirch

A new fully discrete linearized $H^1$-conforming Lagrange finite element method is proposed for solving the two-dimensional magneto-hydrodynamics equations based on a magnetic potential formulation. The proposed method yields numerical…

Numerical Analysis · Mathematics 2019-03-12 Buyang Li , Jilu Wang , Liwei Xu

We present the basic equations for stationary, incompressible resistive MHD flows in two dimensions. This leads to a system of differential equations for two flux functions, one elliptic partial differential equation (Grad-Shafranov-like)…

Astrophysics · Physics 2009-11-11 Dieter H. Nickeler , Hans-Joerg Fahr

We derive the second-order dissipative relativistic hydrodynamic equations in a generic frame with a continuous parameter from the relativistic Boltzmann equation. We present explicitly the relaxation terms in the energy and particle…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kyosuke Tsumura , Teiji Kunihiro

We use a set of simple angular moments to solve the Boltzmann equation in the relaxation time approximation for a boost invariant longitudinally expanding gluonic plasma. The transition from the free streaming regime at early time to the…

Nuclear Theory · Physics 2020-01-08 Jean-Paul Blaizot , Li Yan