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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 formulate a lagrangian hydrodynamics including shear and bulk viscosity in the presence of spin density, and investigate it using the linear response functional formalism. The result is a careful accounting of all sound and vortex…

High Energy Physics - Theory · Physics 2023-11-16 Giorgio Torrieri , David Montenegro

Stress tensors are derived for the multiparticle collision dynamics algorithm, a particle-based mesoscale simulation method for fluctuating fluids, resembling those of atomistic or molecular systems. Systems with periodic boundary…

Soft Condensed Matter · Physics 2009-11-13 Roland G. Winkler , Chien-Cheng Huang

It is shown how a complete set of hydrodynamic equations describing an unsteady three-dimensional viscous flow nearby a solid body, can be reduced to a closed system of surface equations using the method of dimension reduction of…

Fluid Dynamics · Physics 2014-08-04 Maxim Zaytsev , Vyacheslav Akkerman

We derive relativistic dissipative spin hydrodynamics from kinetic theory featuring a nonlocal collision term using the method of moments. In this framework, the components of the spin tensor are dynamical variables which obey…

Nuclear Theory · Physics 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk H. Rischke

We study the Langevin dynamics of flux lines of high--T$_c$ superconductors in the presence of random quenched pinning. The hydrodynamic theory for the densities is derived by starting with the microscopic model for the flux-line liquid.…

Condensed Matter · Physics 2009-10-22 Leo Radzihovsky , Erwin Frey

Non-equilibrium fluid dynamics derived from the extended irreversible thermodynamics of the causal M\"uller--Israel--Stewart theory of dissipative processes in relativistic fluids based on Grad's moment method is applied to the study of the…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are…

Nuclear Theory · Physics 2015-07-29 Leonardo Tinti

Here we derive the relativistic resistive dissipative second-order magnetohydrodynamic evolution equations using the Boltzmann equation, thus extending our work from the previous paper…

Nuclear Theory · Physics 2021-09-27 Ankit Kumar Panda , Ashutosh Dash , Rajesh Biswas , Victor Roy

We argue, using the AdS/CFT correspondence, that the transient dynamics of the shear stress tensor in a strongly coupled $\mathcal{N}=4$ SYM plasma is not described by relaxation-type, fluid dynamical equations: at long times the equations…

High Energy Physics - Theory · Physics 2013-02-06 Jorge Noronha , Gabriel S. Denicol

In this paper, we investigate the magnetohydrodynamic viscous flow with second order slip flow model over a permeable shrinking surface. We have obtained the closed form of exact solution of Navier-Stokes equations by using similarity…

Fluid Dynamics · Physics 2016-06-28 T. Mahmood , S. Munawar Shah , G. Abbas

We advocate for a more stringent test problem for codes that aim to solve the equations of viscous hydrodynamics. Specifically, we discuss a nonuniform-density version of the common (uniform-density) Gaussian velocity shear test, where…

Fluid Dynamics · Physics 2026-03-04 Alexander J. Dittmann , Geoffrey Ryan

We consider dense rapid shear flow of inelastically colliding hard disks. Navier-Stokes granular hydrodynamics is applied accounting for the recent finding \cite{Luding,Khain} that shear viscosity diverges at a lower density than the rest…

Soft Condensed Matter · Physics 2009-11-13 Evgeniy Khain

We construct an analytic solution of the Einstein-SU(2)-Yang-Mills system as the holographic dual of an anisotropic superfluid near its critical point, up to leading corrections in both the inverse Yang-Mills coupling and a symmetry…

High Energy Physics - Theory · Physics 2012-07-24 Pallab Basu , Jae-Hyuk Oh

Second-order dissipative hydrodynamic equations for each component of a multi-component system are derived using the entropy principle. The shear viscosity of the whole system, appearing in the equation summed-up over all components, is…

High Energy Physics - Phenomenology · Physics 2011-03-24 Andrej El , Ioannis Bouras , Francesco Lauciello , Zhe Xu , Carsten Greiner

We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order corrections. By matching to the AdS/CFT…

High Energy Physics - Theory · Physics 2008-11-26 R. Baier , P. Romatschke , D. T. Son , A. O. Starinets , M. A. Stephanov

The fluid/gravity correspondence relates solutions of the incompressible Navier-Stokes equation to metrics which solve the Einstein equations. In this paper we extend this duality to a new magnetohydrodynamics/gravity correspondence, which…

High Energy Physics - Theory · Physics 2013-10-17 Vyacheslav Lysov

In this work we describe the dynamics of a highly anisotropic system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion (Gubser flow) for arbitrary shear viscosity to entropy density ratio. We derive the…

Nuclear Theory · Physics 2018-03-14 M. Martinez , M. McNelis , U. Heinz

From the principle of least action the equation of motion for viscous compressible and charged fluid is derived. The viscosity effect is described by the 4-potential of the energy dissipation field, dissipation tensor and dissipation…

Fluid Dynamics · Physics 2016-10-12 Sergey G. Fedosin

A new formulation of second-order viscous hydrodynamics, based on an expansion around a locally anisotropic momentum distribution, is presented. It generalizes the previously developed formalism of anisotropic hydrodynamics (aHydro) to…

Nuclear Theory · Physics 2015-06-22 Ulrich W. Heinz , Dennis Bazow , Michael Strickland
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