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In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed. Especially, we deal with the case when the viscosity is of…

Analysis of PDEs · Mathematics 2018-05-01 Akitaka Matsumura , Natsumi Yoshida

Relativistic dissipative hydrodynamic equations are extended by taking into account particle number changing processes in a gluon system, which expands in one dimension boost-invariantly. Chemical equilibration is treated by a rate equation…

Nuclear Theory · Physics 2010-11-23 Andrej El , Azwinndini Muronga , Zhe Xu , Carsten Greiner

We reconsider, from a novel perspective, how unitarity constrains the corrections to the ratio of shear viscosity \eta\ to entropy density s. We start with higher-derivative extensions of Einstein gravity in asymptotically anti-de Sitter…

High Energy Physics - Theory · Physics 2015-05-30 Ram Brustein , A. J. M. Medved

We construct a new relativistic viscous hydrodynamics code optimized in the Milne coordinates. We split the conservation equations into an ideal part and a viscous part, using the Strang spitting method. In the code a Riemann solver based…

Nuclear Theory · Physics 2017-07-25 Kazuhisa Okamoto , Chiho Nonaka

We argue that the ratio between the shear viscosity and the shear relaxation time, $\eta/\tau_\pi$, should be defined as a thermodynamic quantity obtained from the equal-time symmetric correlator of the shear-stress tensor. In kinetic…

Nuclear Theory · Physics 2024-06-25 Gabriel S. Denicol , Jorge Noronha

Recently we proposed a novel approach to the formulation of relativistic dissipative hydrodynamics by extending the so-called matching conditions in the Eckart frame [Phys. Rev. {\bf C 85}, (2012) 14906]. We extend this formalism further to…

Nuclear Theory · Physics 2015-06-04 Takeshi Osada

The phonon contribution to the shear viscosity $\eta$ in superfluid neutron stars is calculated by assuming neutron pairing in a $^1S_0$ channel. The shear viscosity is obtained by means of variational methods for the solution of the…

High Energy Astrophysical Phenomena · Physics 2012-06-19 Laura Tolos , Cristina Manuel

New non-linear, spatially periodic, long wavelength electrostatic modes of an electron fluid oscillating against a motionless ion fluid (Langmuir waves) are given, with viscous and resistive effects included. The cold plasma approximation…

Plasma Physics · Physics 2010-05-28 A. A. Skorupski , E. Infeld

In this communication, we present a new lengthscale-based rheology for dense sheared particle suspensions as they transition from inertial- to viscous-dominated. We derive a lengthscale ratio using straightforward physics-based…

Soft Condensed Matter · Physics 2023-02-10 Zhuan Ge , Teng Man , Herbert E. Huppert , Kimberly Hill , Sergio Andres Galindo-Torres

Motivated by the vast string landscape, we consider the shear viscosity to entropy density ratio in conformal field theories dual to Einstein gravity with curvature square corrections. After field redefinitions these theories reduce to…

High Energy Physics - Theory · Physics 2010-04-06 Mauro Brigante , Hong Liu , Robert C. Myers , Stephen Shenker , Sho Yaida

One of the most remarkable features of the Quark Gluon Plasma is its nearly perfect fluidity behavior indicated by the small shear viscosity to entropy density ratio obtained from fitting relativistic viscous hydrodynamics flow harmonics to…

Nuclear Theory · Physics 2015-12-22 Jacquelyn Noronha-Hostler

A very famous result of gauge/gravity duality is the universality of the ratio of shear viscosity to entropy density in every field theory holographically dual to classical, two-derivative (Einstein) gravity. We present a way to obtain…

High Energy Physics - Theory · Physics 2011-05-05 Johanna Erdmenger , Patrick Kerner , Hansjörg Zeller

Employing a perturbative QCD based parton cascade we calculate the elliptic flow $v_2$ and its transverse momentum dependence $v_2(p_T)$ for the gluon matter created in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV. To make comparisons with…

High Energy Physics - Phenomenology · Physics 2009-02-18 Zhe Xu , Carsten Greiner

We introduce an analogue to Kato's Criterion regarding the inviscid convergence of stochastic Navier-Stokes flows to the strong solution of the deterministic Euler equation. Our assumptions cover additive, multiplicative and transport type…

Probability · Mathematics 2023-08-16 Daniel Goodair , Dan Crisan

We compute the shear viscosity of the unitary Fermi gas above the superfluid transition temperature, using a diagrammatic technique that starts from the exact Kubo formula. The formalism obeys a Ward identity associated with scale…

Quantum Gases · Physics 2011-02-01 Tilman Enss , Rudolf Haussmann , Wilhelm Zwerger

In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of %delta shock solution solutions for the Riemann problem to a particular $2 \times 2$ system of conservation laws…

Analysis of PDEs · Mathematics 2020-09-22 Richard De la cruz , Juan Juajibioy

This review highlights some of the lessons that the holographic gauge/gravity duality has taught us regarding the behavior of the shear viscosity to entropy density in strongly coupled field theories. The viscosity to entropy ratio has been…

High Energy Physics - Theory · Physics 2015-03-19 Sera Cremonini

This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitational interactions. Two types of radial symmetry for the…

Mathematical Physics · Physics 2025-10-20 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , I. Yu. Baibara

Hydrodynamics and collision dominated transport are crucial to understand the slow dynamics of many correlated quantum liquids. The ratio \eta/s of the shear viscosity \eta to the entropy density s is uniquely suited to determine how…

Mesoscale and Nanoscale Physics · Physics 2009-07-14 Markus Mueller , Joerg Schmalian , Lars Fritz

We discuss corrections to the ratio of shear viscosity to entropy density $\eta/s$ in higher-derivative gravity theories. Generically, these theories contain ghost modes with Planck-scale masses. Motivated by general considerations about…

High Energy Physics - Theory · Physics 2011-07-26 Ram Brustein , A. J. M. Medved