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The first-order textbook formulations of relativistic viscous hydrodynamics are unstable and acausal. These shortcomings may be rectified by using effective theories which maintain stability and causality. In this dissertation, which is…

High Energy Physics - Theory · Physics 2025-09-30 Raphael E. Hoult

We study 1+1 dimensional relativistic non-resistive magnetohydrodynamics (MHD) with longitudinal boost invariance and shear stress tensor. Several analytical solutions that describe the fluid temperature evolution under the equation of…

Nuclear Theory · Physics 2024-11-19 Ze-Fang Jiang , Shuo-Yan Liu , Tian-Yu Hu , Huang-Jing Zheng , Duan She

We derive the equations of motion of relativistic magnetohydrodynamics from the Boltzmann equation using the method of moments. We consider a locally electrically neutral system composed of two particle species with opposite charges, with…

High Energy Astrophysical Phenomena · Physics 2026-02-25 Khwahish Kushwah , Gabriel Silveria Denicol

We derive a number of solution for one-dimensional dynamics of relativistic magnetized plasma that can be used as benchmark estimates in relativistic hydrodynamic and magnetohydrodynamic numerical codes. First, we analyze the properties of…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Maxim Lyutikov , Samuel Hadden

We derive the equations of motion of relativistic magnetohydrodynamics, as well as microscopic expressions for all of its transport coefficients, from the Boltzmann equation using the method of moments. In contrast to reference Phys. Rev. D…

Nuclear Theory · Physics 2024-05-24 Khwahish Kushwah , Gabriel S. Denicol

Starting from kinetic theory description of massive spin-1/2 particles in presence of magnetic field, equations for relativistic dissipative non-resistive magnetohydrodynamics are obtained in the small polarization limit. We use a…

In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics of the dual conformal field in the Gauss-Bonnet gravity. By considering the parameters of the boosted black brane in the Gauss-Bonnet gravity as functions of…

High Energy Physics - Theory · Physics 2011-02-28 Ya-Peng Hu , Huai-Fan Li , Zhang-Yu Nie

Anomalous symmetries induce currents which can be parallel rather than orthogonal to the hypermagnetic field. Building on the analogy with charged liquids at high magnetic Reynolds numbers, the persistence of anomalous currents is…

High Energy Physics - Theory · Physics 2013-10-09 Massimo Giovannini

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

Following the previous work of Ferretti and Yang on the role of magnetic fields in the theory of conformal turbulence, we show that non-unitary minimal model solutions to 2-dimensional magnetohydrodynamics (MHD) obtained by dimensional…

High Energy Physics - Theory · Physics 2015-06-26 Omduth Coceal , Steven Thomas

We investigate the linear stability of a sinusoidal shear flow with an initially uniform streamwise magnetic field in the framework of incompressible magnetohydrodynamics (MHD) with finite resistivity and viscosity. This flow is known to be…

Fluid Dynamics · Physics 2022-10-19 Adrian E. Fraser , Imogen G. Cresswell , Pascale Garaud

We address the linear-mode analysis performed near an equilibrium configuration in the fluid rest frame with a dynamical magnetic field perturbed on a constant configuration. We develop a simple and general algorithm for an analytic…

Plasma Physics · Physics 2024-09-30 Zhe Fang , Koichi Hattori , Jin Hu

We study the linear magnetohydrodynamic (MHD) equations, both in the Newtonian and the general-relativistic limit, as regards a viscous magnetized fluid of finite conductivity and discuss instability criteria. In addition, we explore the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Kleidis , A. Kuiroukidis , D. B. Papadopoulos , L. Vlahos

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev

We investigate the large scale evolution of a relativistic magnetic reconnection in an electron-positron pair plasma by a relativistic two-fluid magnetohydrodynamic (MHD) code. We introduce an inter-species friction force as an effective…

High Energy Astrophysical Phenomena · Physics 2014-11-18 Seiji Zenitani , Michael Hesse , Alex Klimas

We demonstrate that relativistic conformal hydrodynamics in 2+1 dimensions displays a turbulent behaviour which cascades energy to longer wavelengths on both flat and spherical manifolds. Our motivation for this study is to understand the…

High Energy Physics - Theory · Physics 2013-05-30 Federico Carrasco , Luis Lehner , Robert C. Myers , Oscar Reula , Ajay Singh

The evolution of magnetized quark gluon plasma (QGP) in the framework of magneto-hydrodynamics is the focus of our study. We are investigating the temporal and spatial evolution of QGP using a second order viscous hydrodynamic framework.…

Nuclear Theory · Physics 2024-03-05 M. karimabadi , A. F. Kord , B. Azadegan

We would like to formulate relativistic dissipative hydrodynamics for multi-component systems with multiple conserved currents. This is important for analyses of the hot matter created in relativistic heavy ion collisions because particle…

Nuclear Theory · Physics 2011-03-23 Akihiko Monnai , Tetsufumi Hirano

We apply the method of moments to the relativistic Boltzmann-Vlasov equation and derive the equations of motion for the irreducible moments of arbitrary tensor-rank of the invariant single-particle distribution function. We study two cases,…

Plasma Physics · Physics 2025-01-29 Etele Molnár , Dirk H. Rischke

We formulate the theory of first-order dissipative magnetohydrodynamics in an arbitrary hydrodynamic frame under the assumption of parity-invariance and discrete charge symmetry. We study the mode spectrum of Alfv\'en and magnetosonic waves…

High Energy Physics - Theory · Physics 2022-10-14 Jay Armas , Filippo Camilloni