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We introduce a new concept of dissipative varifold solution to models of two phase compressible viscous fluids. In contrast with the existing approach based on the Young measure description, the new formulation is variational combining the…

Analysis of PDEs · Mathematics 2021-07-02 Eduard Feireisl , Antonin Novotny

By making use of the chiral kinetic theory in the relaxation-time approximation, we derive an Israel-Stewart type formulation of the hydrodynamic equations for a chiral relativistic plasma made of neutral particles (e.g., neutrinos). The…

High Energy Physics - Theory · Physics 2017-06-06 E. V. Gorbar , D. O. Rybalka , I. A. Shovkovy

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

Biological Physics · Physics 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

Nuclear Theory · Physics 2015-05-30 T. S. Biro , E. Molnar

A pure fluid at its critical point shows a dramatic slow-down in its dynamics, due to a divergence of the order-parameter susceptibility and the coefficient of heat transport. Under isothermal conditions, however, sound waves provide the…

Statistical Mechanics · Physics 2015-03-20 Markus Gross , Fathollah Varnik

We discuss differential-- versus integral--equation based methods describing out--of thermal equilibrium systems and emphasize the importance of a well defined reduction to statistical observables. Applying the projection operator approach,…

High Energy Physics - Theory · Physics 2011-09-13 Herbert Nachbagauer

The first-order textbook formulations of relativistic viscous hydrodynamics are unstable and acausal. These shortcomings may be rectified by using effective theories which maintain stability and causality. In this dissertation, which is…

High Energy Physics - Theory · Physics 2025-09-30 Raphael E. Hoult

We consider non-equilibrium evolution of non-Gaussian fluctuations within relativistic hydrodynamics relevant for the QCD critical point search in heavy-ion collision experiments. We rely on the hierarchy of relaxation time scales, which…

High Energy Physics - Theory · Physics 2023-09-27 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

I review recent and not so recent progress on formulating and numerically implementing a consistent set of relativistic equations which describe the space-time evolution of viscous relativistic fluids without violating causality.

Nuclear Theory · Physics 2007-05-23 Ulrich W. Heinz

We study a coupled kinetic-non-Newtonian fluid system on the periodic domain ${\mathbb T}^3$, where particles evolve by a Vlasov equation and interact with an incompressible power-law fluid through a drag force. We prove the global…

Analysis of PDEs · Mathematics 2025-08-22 Young-Pil Choi , Jinwook Jung , Aneta Wróblewska-Kamińska

Hydrodynamic fluctuations in simple fluids under shear flow are demonstrated to be spatially correlated, in contrast to the fluctuations at equilibrium, using mesoscopic hydrodynamic simulations. The simulation results for the equal-time…

Soft Condensed Matter · Physics 2024-06-03 Anoop Varghese , Gerhard Gompper , Roland G. Winkler

A fluid-dynamic approach to the diffusion of heavy quarks in the quark--gluon plasma (QGP) is presented. Specifically, we analyze the Fokker-Planck equation for the momentum transport of heavy quarks from a fluid perspective and use a…

Nuclear Theory · Physics 2022-08-31 F. Capellino , A. Beraudo , A. Dubla , S. Floerchinger , S. Masciocchi , J. Pawlowski , I. Selyuzhenkov

The strong longitudinal expansion characteristic of heavy-ion collisions leads to universal attractor behavior of the resulting drop of quark-gluon plasma (QGP) already at very early times. Assuming approximate boost invariance and…

Nuclear Theory · Physics 2024-12-17 Xin An , Michał Spaliński

The specific shear viscosity (eta/s)_QGP of a Quark-Gluon-Plasma (QGP) at temperatures T_c < T < 2T_c is extracted from the centrality dependence of the eccentricity-scaled elliptic flow measured in ultra-relativistic heavy-ion collisions.…

Nuclear Theory · Physics 2011-05-23 Huichao Song , Steffen A. Bass , Ulrich W. Heinz , Tetsufumi Hirano , Chun Shen

The problem of parameterizing the interactions of larger scales and smaller scales in fluid flows is addressed by considering a property of two-dimensional incompressible turbulence. The property we consider is selective decay, in which a…

Chaotic Dynamics · Physics 2018-10-31 F. Gay-Balmaz , D. D. Holm

This work calculates the first correction to the leading order q\={q} dilepton production rates due to shear viscosity in an expanding gas. The modified rates are integrated over the space-time history of a viscous hydrodynamic simulation…

Nuclear Theory · Physics 2008-11-26 Kevin Dusling , Shu Lin

The quality factor (Q) links seismic wave energy dissipation to physical properties of the Earth's interior, such as temperature, stress and composition. Frequency independence of Q, also called constant Q for brevity, is a common…

Geophysics · Physics 2021-07-08 Qi Hao , Stewart Greenhalgh

A potentially powerful approach to quantum gravity has been developed over the last few years under the name of Causal Dynamical Triangulations. Numerical simulations have given very interesting results in the cases of two, three and four…

General Relativity and Quantum Cosmology · Physics 2007-09-05 Dario Benedetti

Looking for the underlying hydrodynamic mechanisms determining the elliptic flow we show that for an expanding relativistic perfect fluid the transverse flow may derive from a solvable hydrodynamic potential, if the entropy is transversally…

Nuclear Theory · Physics 2009-09-24 Robi Peschanski , Emmanuel N. Saridakis

The recently developed framework of anisotropic hydrodynamics is generalized to describe the dynamics of coupled quark and gluon fluids. The quark and gluon components of the fluids are characterized by different dynamical anisotropy…

Nuclear Theory · Physics 2013-04-02 Wojciech Florkowski , Radoslaw Maj , Radoslaw Ryblewski , Michael Strickland