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Related papers: Relativistic shock waves in viscous gluon matter

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The shear viscosity of a gluon gas is calculated using the Green-Kubo relation. Time correlations of the energy-momentum tensor in thermal equilibrium are extracted from microscopic simulations using a parton cascade solving various…

High Energy Physics - Phenomenology · Physics 2013-05-29 C. Wesp , A. El , F. Reining , Z. Xu , I. Bouras , C. Greiner

It is now well understood that the coefficient of shear viscosity of boundary fluid can be obtained from the horizon values of the effective coupling of transverse graviton in bulk spacetime. In this paper we observe that to find the shear…

High Energy Physics - Theory · Physics 2011-01-17 Nabamita Banerjee , Suvankar Dutta

The shear viscosity $\eta$ of a quark-gluon plasma in equilibrium can be calculated analytically using multiple methods or numerically using the Green-Kubo relation. It has been realized, which we confirm here, that the Chapman-Enskog…

Nuclear Theory · Physics 2022-10-27 Noah M. MacKay , Zi-Wei Lin

We give the first correction to the suspension viscosity due to fluid elasticity for a dilute suspension of spheres in a viscoelastic medium. Our perturbation theory is valid to $O(\phi\mathrm{Wi}^2)$ in the Weissenberg number…

Fluid Dynamics · Physics 2018-01-24 Jonas Einarsson , Mengfei Yang , Eric S. G. Shaqfeh

This is the first in a series Of papers in which we initiate the study Of very rough solutions to the initial value problem for the Einstein Vacuum equations expressed relative to wave coordinates. By very rough we mean solutions which…

Analysis of PDEs · Mathematics 2016-09-07 S. Klainerman , I. Rodnianski

We study the large-time behavior of the 1D barotropic Navier-Stokes flow perturbed from Riemann data generating a composition of two shock waves with small amplitudes. We prove that the perturbed Navier-Stokes flow converges, uniformly in…

Analysis of PDEs · Mathematics 2022-07-14 Sungho Han , Moon-Jin Kang , Jeongho Kim

Shock waves, vorticity waves, and entropy waves are fundamental discontinuity waves in nature and arise in supersonic or transonic gas flow, or from a very sudden release (explosion) of chemical, nuclear, electrical, radiation, or…

Numerical Analysis · Mathematics 2012-05-22 Gui-Qiang G. Chen

Zero viscosity limits are central to the study of classical shock waves. By identifying the correct physical (Lax admissible) shocks, they are a cornerstone in the design of analytical and numerical schemes. For relativistic fluid flow,…

Analysis of PDEs · Mathematics 2026-03-18 Moritz Reintjes , Adhiraj Chaddha

We considered the structure of steady-state radiative shock waves propagating in the partially ionized hydrogen gas with density rho1 = 1e-10 gm/cm^3 and temperature 3000K <= T1 <= 8000K. The radiative shock wave models with electron…

Astrophysics · Physics 2009-11-07 Yu. A. Fadeyev , H. Le Coroller , D. Gillet

We evaluate the ratio of the shear viscosity to the relaxation time of the shear flux above but near the critical temperature $T_c$ in SU(3) gauge theory on the lattice. The ratio is related to Kubo's canonical correlation of the…

High Energy Physics - Lattice · Physics 2013-03-26 Yasuhiro Kohno , Masayuki Asakawa , Masakiyo Kitazawa

We discuss in detail the shear viscosity coefficient eta and the viscosity to entropy density ratio eta/s of a hadronic gas comprised of pions and nucleons. In particular, we study the effects of baryon chemical potential on eta and eta/s.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kazunori Itakura , Osamu Morimatsu , Hiroshi Otomo

As a model for vortex-wall interactions, we consider the two-dimensional incompressible Navier--Stokes equations in the half-plane $R^2_+$ with no-slip boundary condition and point vortices as initial data. We focus on the paradigmatic…

Analysis of PDEs · Mathematics 2026-03-24 Anne-Laure Dalibard , Thierry Gallay

Viscous hydrodynamics is commonly used to model the evolution of the matter created in an ultra-relativistic heavy-ion collision. It provides a good description of transverse momentum spectra and anisotropic flow. These observables,…

Nuclear Theory · Physics 2015-07-13 Salvatore Plumari , Giovanni Luca Guardo , Vincenzo Greco , Jean-Yves Ollitrault

The stability of an irreversible singularity, such as a Riemann shock to the full Euler system, in the absence of any technical conditions on perturbations, remains a major open problem even within mono-dimensional framework. A natural…

Analysis of PDEs · Mathematics 2025-06-18 Saehoon Eo , Namhyun Eun , Moon-Jin Kang

The shear ($\eta$) and bulk ($\zeta$) viscosities are calculated in a quasiparticle relaxation time approximation for a hadron matter described within the relativistic mean-field based model with scaled hadron masses and couplings.…

Nuclear Theory · Physics 2011-05-05 A. S. Khvorostukhin , V. D. Toneev , D. N. Voskresensky

It has been over a decade since the first experimental data from gold nuclei collisions at the Relativistic Heavy Ion Collider suggested hydrodynamic behavior. While early ideal hydrodynamical models were surprisingly accurate in their…

Nuclear Theory · Physics 2013-07-30 Joshua Vredevoogd

Several recent results are reported from work aiming to improve the quantitative precision of relativistic viscous fluid dynamics for relativistic heavy-ion collisions. The dense matter created in such collisions expands in a highly…

Nuclear Theory · Physics 2017-03-16 U. Heinz , D. Bazow , G. S. Denicol , M. Martinez , M. Nopoush , J. Noronha , R. Ryblewski , M. Strickland

We calculate the shear viscosity $\eta$ to entropy density $s$ ratio $\eta /s$ of a gluon plasma in kinetic theory including the gg->gg and gg<->ggg processes. Due to the suppressed contribution to $\eta$ in the gg->gg forward scattering,…

Nuclear Theory · Physics 2010-03-02 Jiunn-Wei Chen , Hui Dong , Kazuaki Ohnishi , Qun Wang

We explore the effects of shear viscosity on the hydrodynamic evolution and final hadron spectra of Cu+Cu collisions at ultrarelativistic collision energies, using the newly developed (2+1)-dimensional viscous hydrodynamic code VISH2+1.…

Nuclear Theory · Physics 2010-04-06 Huichao Song , Ulrich W Heinz

In this paper, we study the vanishing viscosity of the isentropic compressible Navier-Stokes equations with density dependent viscous coefficient in the presence of the shock wave. Given a shock wave to the corresponding Euler equations, we…

Analysis of PDEs · Mathematics 2019-05-16 Meiying Cui