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In this work, the equations of dissipative relativistic spin hydrodynamics based on quantum kinetic theory are derived. Employing the inverse-Reynolds dominance (IReD) approach, a resummation scheme based on a power counting in Knudsen and…

Nuclear Theory · Physics 2026-02-24 David Wagner

In the context of the M\"uller-Israel-Stewart second-order theory for dissipative fluids due to Grad, we analyze the effects of thermal conduction and viscosity in heavy ion collisions. We contrast the results to those of the first-order…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

We consider a gravity dual description of time dependent, strongly interacting large-Nc N=4 SYM. We regard the gauge theory system as a fluid with shear viscosity. Our fluid is expanding in one direction following the Bjorken's picture that…

High Energy Physics - Theory · Physics 2009-11-11 Shin Nakamura , Sang-Jin Sin

The expected universality of small-scale properties of turbulent flows implies isotropic properties of the velocity gradient tensor in the very large Reynolds number limit. Using direct numerical simulations, we determine the tensors formed…

Fluid Dynamics · Physics 2017-07-04 Alain Pumir

We use the fluid-gravity correspondence to compute subextensive corrections, proportional to the shear tensor, to the energy-momentum tensor of fluids on three-spheres. The dual configurations we consider are charged black hole solutions of…

High Energy Physics - Theory · Physics 2013-12-03 G. L. Cardoso , G. Dall'Agata , V. Grass

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

We derive equations of motion of hydrodynamic fluctuations performing perturbative expansion of the energy-momentum conservation equations around the boost invariant solution in one-dimensional expanding system. In the course of derivation,…

Nuclear Theory · Physics 2024-03-06 Shin-ei Fujii , Tetsufumi Hirano

In this paper, we study the fully developed gravity-driven flow of granular materials between two inclined planes. We assume that the granular materials can be represented by a modified form of the second-grade fluid where the viscosity…

Fluid Dynamics · Physics 2017-04-26 Wei-Tao Wu , Nadine Aubry , James F. Antaki , Mehrdad Massoudi

Employing a kinetic framework, we calculate all transport coefficients for relativistic dissipative (second-order) hydrodynamics for arbitrary particle masses in the 14-moment approximation. Taking the non-relativistic limit, it is shown…

Nuclear Theory · Physics 2025-05-07 Semyon Potesnov , David Wagner

In 2nd order causal dissipative theory, space-time evolution of QGP fluid is studied in 2+1 dimensions. Relaxation equations for shear stress tensors are solved simultaneously with the energy-momentum conservation equations. Comparison of…

Nuclear Theory · Physics 2007-08-01 A. K. Chaudhuri

In this work the issue of whether key energetic properties (nonlinear, exponential-type dissipation in the abscence of forcing and long-term stability under conditions of time dependent loading) are automatically inherited by deforming…

Fluid Dynamics · Physics 2015-06-26 S. J. Childs

We study the dynamics of the two dimensional Navier-Stokes equations linearized around a shear flow on a (non-square) torus which possesses exactly two non-degenerate critical points. We obtain linear inviscid damping and vorticity…

Analysis of PDEs · Mathematics 2024-04-30 Rajendra Beekie , Shan Chen , Hao Jia

We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids with stress diffusion. Our approach is based on the concepts used in the nowadays standard theory of compressible Newtonian fluids as…

Analysis of PDEs · Mathematics 2020-01-08 Miroslav Bulíček , Eduard Feireisl , Josef Málek

We consider the hydrodynamic regime of gauge theories with general triangle anomalies, where the participating currents may be global or gauged, abelian or non-abelian. We generalize the argument of arXiv:0906.5044, and construct at the…

High Energy Physics - Theory · Physics 2011-03-18 Yasha Neiman , Yaron Oz

We solve the stationary Navier-Stokes equations for non-Newtonian incompressible fluids with shear dependent viscosty in domains with unbounded outlets, in the case of shear thickening viscosity, i.e. the viscosity is given by the shear…

Analysis of PDEs · Mathematics 2011-08-19 Marcelo M. Santos , Gilberlandio J. Dias

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for…

Nuclear Theory · Physics 2014-11-18 Matthew Luzum , Paul Romatschke

The energy gradient theory was proposed in our previous studies. The mechanism of flow instability is very different in shear driven flows from pressure driven flows. In present paper, the relationship for the energy variation, work done,…

Fluid Dynamics · Physics 2020-09-22 Hua-Shu Dou

We study the hydrodynamic properties of strongly coupled $SU(N)$ Yang-Mills theory of the D1-brane at finite temperature and at a non-zero density of R-charge in the framework of gauge/gravity duality. The gravity dual description involves…

High Energy Physics - Theory · Physics 2011-03-07 Justin R. David , Manavendra Mahato , Somyadip Thakur , Spenta R. Wadia

The form of the stress tensor is investigated in smooth, dense granular flows which are generated in split-bottom shear geometries. We find that, within a fluctuation fluidized spatial region, the form of the stress tensor is directly…

Soft Condensed Matter · Physics 2009-11-11 Martin Depken , Jeremy B. Lechman , Martin van Hecke , Wim van Saarloos , Gary S. Grest

The interpretation of the measured elliptic and higher order collective flows in heavy-ion collisions in terms of viscous hydrodynamics depends sensitively on the ratio of shear viscosity to entropy density. Here we perform a quantitative…

Nuclear Theory · Physics 2015-06-04 Anton Wiranata , Madappa Prakash
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