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Related papers: Aspects of causal viscous hydrodynamics

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In this paper, we present a fully analytical description of the early-stage formation of elliptic flow in relativistic viscous hydrodynamics. We first construct an elliptic deformation of Gubser flow which is a boost invariant solution of…

Nuclear Theory · Physics 2015-06-19 Yoshitaka Hatta , Bo-Wen Xiao

In a relativistic context, the main purpose of Extended Irreversible Thermodynamics (EIT) is to generalize the principles of non-equilibrium thermodynamics to the domain of fluid dynamics. In particular, the theory aims at modelling any…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Lorenzo Gavassino , Marco Antonelli

Considering viscous friction that varies spatially and temporally, the general expressions for entropy production, free energy, and entropy extraction rates are derived to a Brownian particle that walks in an overdamped and underdamped…

Statistical Mechanics · Physics 2021-04-28 Mesfin Asfaw Taye

In the laminar mode interactions among molecules generate friction between layers of water that slide with respect to each other. This friction triggers the shear stress, which is traditionally presumed to be linearly proportional to the…

Fluid Dynamics · Physics 2012-06-21 K. Y. Volokh

In this note, we consider a viscous incompressible fluid in a finite domain in both two and three dimensions, and examine the question of determining degrees of freedom (projections, functionals, and nodes). Our particular interest is the…

Analysis of PDEs · Mathematics 2021-02-10 Benjamin Faktor , Michael Holst

We investigate the microscopic origin of the relaxation time coefficient in relativistic fluid dynamics. We show that the extraction of the shear viscosity relaxation time via the gradient expansion is ambiguous and in general fails to give…

Nuclear Theory · Physics 2015-05-30 G. S. Denicol , J. Noronha , H. Niemi , D. H. Rischke

The unsteady response of nozzles with steady heat transfer forced by acoustic and/or entropy waves is modelled. The approach is based on the quasi-one-dimensional linearised Euler equations. The equations are cast in terms of three…

Fluid Dynamics · Physics 2022-03-02 Saikumar R. Yeddula , Juan Guzmán-Iñigo , Aimee S. Morgans

Motivated by the physics of the quark-gluon plasma created in heavy-ion collision experiments, we use holography to study the regime of applicability of various theories of relativistic viscous hydrodynamics. Using the microscopic…

High Energy Physics - Theory · Physics 2022-09-23 Hans Bantilan , Yago Bea , Pau Figueras

The agreement of elliptic flow data at RHIC at central rapidity with the hydrodynamic model has led to the conclusion of very rapid thermalization. This conclusion is based on the intuitive argument that hydrodynamics, which assumes…

High Energy Physics - Phenomenology · Physics 2009-10-09 U. Heinz , S. M. H. Wong

In (2+1)-dimensional hydrodynamic systems with broken parity, the shear and bulk viscosity is joined by the Hall viscosity and curl viscosity. The dual holographic model has been constructed by coupling a pseudo scalar to the gravitational…

High Energy Physics - Theory · Physics 2012-12-17 Rong-Gen Cai , Tian-Jun Li , Yong-Hui Qi , Yun-Long Zhang

A generalized Hydrodynamics, referred to as Mesoscopic Hydro-Thermodynamics, of phonons in semiconductors is presented. It involves the descriptions of the motion of the quasi-particle density and of the energy density. The hydrodynamic…

Statistical Mechanics · Physics 2012-11-05 A. R. Vasconcellos , A. R. B. Castro , C. A. B. Silva , R. Luzzi

We propose a new theory of second-order viscous relativistic hydrodynamics which does not impose any frame conditions on the choice of the hydrodynamic variables. It differs from Mueller-Israel-Stewart theory by including additional…

Nuclear Theory · Physics 2022-07-26 Jorge Noronha , Michał Spaliński , Enrico Speranza

Viscosities and their temperature, T, and volume, V, dependences are reported for 7 molecular liquids and polymers. In combination with literature viscosity data for 5 other liquids, we show that the superpositioning of relaxation times for…

Soft Condensed Matter · Physics 2009-11-11 CM Roland , S Bair , R Casalini

The following paper has been motivated from recent works of Kremer, G.M [1, 4], Vardiashvili, G [2], Jantsch, R.C [3], Capozziello, S [5] on Van-Der-Waals EOS cosmology. The main aim for this paper is to analyze the thermodynamics of a…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Shouvik Sadhukhan , Alokananda Kar , Surajit Chattopadhyay

The linear instability of Faraday waves in Hele-Shaw cells is investigated with consideration of the viscosity of fluids after gap-averaging the governing equations due to the damping from two lateral walls and the dynamic behavior of…

Fluid Dynamics · Physics 2024-02-23 Xingsheng Li , Jing Li

The dynamics of two-dimensional viscous vesicles in shear flow, with different fluid viscosities $\eta_{\rm in}$ and $\eta_{\rm out}$ inside and outside, respectively, is studied using mesoscale simulation techniques. Besides the well-known…

Soft Condensed Matter · Physics 2016-08-17 Sebastian Meßlinger , Benjamin Schmidt , Hiroshi Noguchi , Gerhard Gompper

Viscoelastic rate-type fluid models constitute a fundamental framework for the mathematical description of complex materials exhibiting coupled elastic and viscous effects, with a wide range of applications in engineering, biomaterials, and…

Analysis of PDEs · Mathematics 2026-05-01 Miroslav Bulíček , Tomáš Los , Jakub Woźnicki

Among the numerous anomalies of water, the acceleration of dynamics under pressure is particularly puzzling. Whereas the diffusivity anomaly observed in experiments has been reproduced in several computer studies, the parallel viscosity…

The presented paper is an attempt to investigate the dynamical states of an hydrodynamical isothermal turbulent self-gravitating system using some powerful tools of the classical thermodynamics. Our main assumption, inspired by the work of…

Astrophysics of Galaxies · Physics 2023-11-21 Sava Donkov , Ivan Zh. Stefanov , Todor V. Veltchev

In this paper, using \textit{hydrodynamic entropy} we quantify the multiscale disorder in Euler and hydrodynamic turbulence. These examples illustrate that the hydrodynamic entropy is not extensive because it is not proportional to the…

Statistical Mechanics · Physics 2024-12-06 Mahendra K. Verma , Rodion Stepanov , Alexandre Delache