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Related papers: Relativistic shock waves in viscous gluon matter

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In this paper, we investigate the global structure 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 viscous/diffusive flux…

Analysis of PDEs · Mathematics 2019-09-19 Natsumi Yoshida

We are concerned with the large time behavior of solutions to the Cauchy problem of the one-dimensional compressible micropolar fluid model without viscosity, where the far-field states of the initial data are prescribed to be different. If…

Analysis of PDEs · Mathematics 2018-06-12 Liyun Zheng , Zhengzheng Chen , Sina Zhang

Fast thermalization and a strong buildup of elliptic flow of QCD matter as found at RHIC are understood as the consequence of perturbative QCD (pQCD) interactions within the 3+1 dimensional parton cascade BAMPS. The main contributions stem…

High Energy Physics - Phenomenology · Physics 2015-05-13 I. Bouras , L. Cheng , A. El , O. Fochler , J. Uphoff , Z. Xu , C. Greiner

We establish the hydrodynamic limit of the one-dimensional Boltzmann equation with hard-sphere collisions toward Riemann solutions of the compressible Euler system. The Riemann solutions covered by our result include generic superpositions…

Analysis of PDEs · Mathematics 2026-05-26 Mingi Choe , Moon-jin Kang , Chanwoo Kim

Starting from relativistic quantum field theories, Kovtun et al. (2005) have quite recently proposed a lower bound eta/s >= hbar /(4 pi kB), where eta is the shear viscosity and s the volume density of entropy for dense liquids. If their…

Statistical Mechanics · Physics 2009-02-15 G. G. N. Angilella , N. H. March , F. M. D. Pellegrino , R. Pucci

Shear $\eta$ and bulk $\zeta$ viscosities are calculated in a quasiparticle model within a relaxation time approximation for pure gluon matter. Below $T_c$ the confined sector is described within a quasiparticle glueball model. Particular…

Nuclear Theory · Physics 2015-03-17 A. S. Khvorostukhin , V. D. Toneev , D. N. Voskresensky

We study shear stress relaxation for a gelling melt of randomly crosslinked, interacting monomers. We derive a lower bound for the static shear viscosity $\eta$, which implies that it diverges algebraically with a critical exponent $k\ge…

Statistical Mechanics · Physics 2013-02-26 Claas H. Köhler , Henning Löwe , Peter Müller , Annette Zippelius

In physically inviscid fluid dynamics, "shock capturing" methods adopt either an artificial viscosity contribution or an appropriate Riemann solver algorithm. These techniques are necessary to solve the strictly hyperbolic Euler equations…

Fluid Dynamics · Physics 2015-05-18 G. Lanzafame

Relativistic shocks are present in all high-energy astrophysical processes involving relativistic plasma outflows interacting with their ambient medium. While a well understood process in the context of relativistic hydrodynamics and ideal…

High Energy Astrophysical Phenomena · Physics 2023-11-28 Argyrios Loules , Nektarios Vlahakis

The ratio of shear viscosity to entropy density $\eta/s$ of any material in nature has been conjectured to have a lower bound of $1/4\pi$, the famous KSS bound. We examine string theory models for evidence in favour of and against this…

High Energy Physics - Theory · Physics 2009-11-18 Aninda Sinha , Robert C. Myers

Shear and bulk viscosity-to-entropy density ratios are calculated for the pure gluon matter in a non-equilibrium mean-field quasiparticle approach within the relaxation time approximation. We study how different approximations used in the…

Nuclear Theory · Physics 2011-09-22 A. S. Khvorostukhin , V. D. Toneev , D. N. Voskresensky

In the present paper, it is shown that the large amplitude viscous shock wave is nonlinearly stable for isentropic Navier-Stokes equations, in which the pressure could be general and includes $\gamma$-law, and the viscosity coefficient is a…

Analysis of PDEs · Mathematics 2019-10-22 Lin He , Feimin Huang

A new condition for the linear dissipative instability of the strong plane shock wave in an arbitrary medium is obtained. The instability of the shock is realized due to the flow instability behind its front, which is similar to the known…

Fluid Dynamics · Physics 2020-06-24 Sergey G. Chefranov

We construct a new Godunov type relativistic hydrodynamics code in Milne coordinates, using a Riemann solver based on the two-shock approximation which is stable under the existence of large shock waves. We check the correctness of the…

Nuclear Theory · Physics 2017-07-18 Kazuhisa Okamoto , Yukinao Akamatsu , Chiho Nonaka

We extend our approach for the exact solution of the Riemann problem in relativistic hydrodynamics to the case in which the fluid velocity has components tangential to the initial discontinuity. As in one-dimensional flows, we here show…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Rezzolla , O. Zanotti , J. A. Pons

We compute the time evolution of elliptic flow in non-central relativistic heavy-ion collisions, using a (2+1)-dimensional code with longitudinal boost-invariance to simulate viscous fluid dynamics in the causal Israel-Stewart formulation.…

Nuclear Theory · Physics 2008-11-26 Huichao Song , Ulrich W. Heinz

The shear viscosity to entropy density ratio, \eta /s, characterizes how perfect a fluid is. We calculate the leading order \eta /s of a gluon plasma in perturbation using the kinetic theory. The leading order contribution only involves the…

High Energy Physics - Phenomenology · Physics 2015-03-17 Jiunn-Wei Chen , Jian Deng , Hui Dong , Qun Wang

The viscosity of hadronic matter is studied using a classical evaluation of the scattering angle and a quantum mechanical discussion based on phase shifts from a potential. Semi classical limits of the quantum theory are presented. A hard…

Nuclear Theory · Physics 2010-09-30 Aram Z. Mekjian

We present transport coefficients (shear viscosity, $\eta$, and bulk viscosity, $\zeta$) for the gluon system obtained by the lattice QCD. This is an indispensable calculation towards the understanding of ``New State of Matter'' observed in…

High Energy Physics - Lattice · Physics 2016-09-01 A. Nakamura , S. Sakai

Using numerical results from ideal and viscous relativistic hydrodynamic simulations with three different equations of state, for Au+Au and Cu+Cu collisions at different centralities and initial energy densities, we explore the dependence…

Nuclear Theory · Physics 2008-11-26 Huichao Song , Ulrich W. Heinz
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