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In this paper we review recent progress in relativistic anisotropic hydrodynamics. We begin with a pedagogical introduction to the topic which takes into account the advances in our understanding of this topic since its inception. We…

Nuclear Theory · Physics 2018-06-08 Mubarak Alqahtani , Mohammad Nopoush , Michael Strickland

At low Reynolds numbers, the hydrodynamic interaction between dumbbells driven by an external rotating field can be attractive or repulsive. Dumbbells of dissimilar asymmetric shape or different coupling to the external field undergo…

Fluid Dynamics · Physics 2015-05-18 Steffen Schreiber , Thomas Fischer , Walter Zimmermann

Synchronization induced by long-range hydrodynamic interactions is attracting attention as a candidate mechanism behind coordinated beating of cilia and flagella. Here we consider a minimal model of hydrodynamic synchronization in the low…

Soft Condensed Matter · Physics 2012-11-26 Nariya Uchida , Ramin Golestanian

The effective low-energy late-time description of many body systems near thermal equilibrium provided by classical hydrodynamics in terms of dissipative transport phenomena receives important corrections once the effects of stochastic…

High Energy Physics - Theory · Physics 2021-05-27 Ashish Shukla

We study how conservation laws shape the spreading of quantum coherence in many-body dynamics. Focusing on $U(1)$-symmetric random circuits, charge-and-dipole conserving circuits, as well as ergodic Hamiltonian dynamics, we probe coherences…

Quantum Physics · Physics 2026-04-28 Sreemayee Aditya , Emanuele Tirrito , Piotr Sierant , Xhek Turkeshi

Anisotropic-hydrodynamics framework is used to describe a mixture of quark and gluon fluids. The effects of quantum statistics, finite quark mass, and finite baryon number density are taken into account. The results of anisotropic…

Nuclear Theory · Physics 2018-01-24 Wojciech Florkowski , Ewa Maksymiuk , Radoslaw Ryblewski

The structure of novel hydrodynamic model of plasmas with the relativistic temperatures consisted of four equations for the material fields is presented for the regime of anisotropic pressure and other tensors describing the thermal…

Plasma Physics · Physics 2021-10-29 Pavel A. Andreev

We present a complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function…

Nuclear Theory · Physics 2014-11-26 Dennis Bazow , Ulrich W. Heinz , Michael Strickland

We use leading-order anisotropic hydrodynamics to study an azimuthally-symmetric boost-invariant quark-gluon plasma. We impose a realistic lattice-based equation of state and perform self-consistent anisotropic freeze-out to hadronic…

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description in the conformal relaxation time approximation, in order to determine the range of applicability of an effective description in…

High Energy Physics - Phenomenology · Physics 2023-04-26 Victor E. Ambrus , S. Schlichting , C. Werthmann

Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high…

High Energy Physics - Theory · Physics 2018-01-19 Paul Romatschke

There is great interest in numerical relativity simulations involving matter due to the likelihood that binary compact objects involving neutron stars will be detected by gravitational wave observatories in the coming years, as well as to…

General Relativity and Quantum Cosmology · Physics 2012-06-06 William E. East , Frans Pretorius , Branson C. Stephens

Non-conformal attractor behavior is studied by solving non-conformal second order viscous hydrodynamics with respect to boost-invariant plasmas. Numerical solutions of the relative decay rate of the enthalpy density, the inverse shear and…

Nuclear Theory · Physics 2022-03-14 Zenan Chen , Li Yan

A general expression for the momentum equation in the Smooth Particle Hydrodynacis approximation is derived for an arbitrary kernel, and compared with its spherical counterpart for various degrees of ellipsoidicity. For such an ellsipsoidal…

Astrophysics · Physics 2007-05-23 Magnus Selhammar

We compare phenomenological results from 3+1d quasiparticle anisotropic hydrodynamics (aHydroQP) with experimental data collected in RHIC 200 GeV Au-Au collisions. We present comparisons of identified particle spectra in different…

Nuclear Theory · Physics 2019-04-05 Dekrayat Almaalol , Mubarak Alqahtani , Michael Strickland

Modeling the dynamics of colloidal rods remains a central challenge in soft-matter physics due to the anisotropic and long-ranged nature of their interactions. Hydrodynamic interactions in rods suspensions are often assumed to be screened…

Soft Condensed Matter · Physics 2026-05-19 Lucas H. P. Cunha , Paul F. Salipante , Peter D. Olmsted , Steven D. Hudson

In this proceedings contribution I review recent work in kinetic theory which demonstrates that, for system undergoing Bjorken expansion, there exists an attractor in all moments of the one-particle distribution function. I discuss how this…

High Energy Physics - Phenomenology · Physics 2020-09-10 Michael Strickland

Multi-particle collision dynamics is an appealing numerical technique aiming at simulating fluids at the mesoscopic scale. It considers molecular details in a coarse-grained fashion and reproduces hydrodynamic phenomena. Here, the…

Soft Condensed Matter · Physics 2019-03-28 H. Híjar

The recently formulated framework of anisotropic hydrodynamics is used in 3+1 dimensions to study behavior of matter created in relativistic heavy-ion collisions. The model predictions for various hadronic observables show that the effects…

Nuclear Theory · Physics 2013-05-14 W. Florkowski , M. Martinez , R. Ryblewski , M. Strickland

Colloidal gels are out-of-equilibrium structures, made up of a rarefied network of colloidal particles. Comparing experiments to numerical simulations, with hydrodynamic interactions switched off, we demonstrate the crucial role of the…

Soft Condensed Matter · Physics 2015-09-17 C. Patrick Royall , Jens Eggers , Akira Furukawa , Hajime Tanaka