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We use a set of simple angular moments to solve the Boltzmann equation in the relaxation time approximation for a boost invariant longitudinally expanding gluonic plasma. The transition from the free streaming regime at early time to the…

Nuclear Theory · Physics 2020-01-08 Jean-Paul Blaizot , Li Yan

Identified particle observables from viscous hydrodynamics are sensitive to the fluid-to-particle conversion. Instead of the commonly assumed "democratic" Grad ansatz for phase space corrections $\delta f$, we utilize corrections calculated…

Nuclear Theory · Physics 2015-05-30 Denes Molnar

We study the properties and symmetries governing the hydrodynamic interaction between two identical, arbitrarily shaped objects, driven through a viscous fluid. We treat analytically the leading (dipolar) terms of the pair-mobility matrix,…

Fluid Dynamics · Physics 2016-05-03 Tomer Goldfriend , Haim Diamant , Thomas A. Witten

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

We generalize (linearized) relativistic hydrodynamics by including all order gradient expansion of the energy momentum tensor, parametrized by four momenta-dependend transport coefficients, one of which is the usual shear viscosity. We then…

High Energy Physics - Phenomenology · Physics 2010-05-28 Michael Lublinsky , Edward Shuryak

In this paper we present the details of our previous work on exact solutions in second-order conformal hydrodynamics together with a number of new solutions found by mapping Minkowski space onto various curved spacetimes such as anti-de…

High Energy Physics - Theory · Physics 2014-06-18 Yoshitaka Hatta , Jorge Noronha , Bo-Wen Xiao

The quark-gluon plasma created in a relativistic heavy-ion collisions possesses a sizable pressure anisotropy in the local rest frame at very early times after the initial nuclear impact and this anisotropy only slowly relaxes as the system…

Nuclear Theory · Physics 2017-03-27 Michael Strickland

We establish a set of equations for moments of the distribution function. In the relaxation time approximations, these moments obey a coupled set of equations that can be truncated order-by-order. Solving the equations of moments, we are…

Nuclear Theory · Physics 2019-02-20 Jean-Paul Blaizot , Li Yan

The introduced earlier projection method for boost-invariant and cylindrically symmetric systems is used to introduce a new formulation of anisotropic hydrodynamics that allows for three substantially different values of pressure acting…

Nuclear Theory · Physics 2014-03-19 Leonardo Tinti , Wojciech Florkowski

Relativistic heavy ion collisions have reached energies that enable the creation of a novel state of matter termed the quark-gluon plasma. Many observables point to a picture of the medium as rapidly equilibrating and expanding as a nearly…

Nuclear Theory · Physics 2011-07-19 James L. Nagle , Ian G. Bearden , William A. Zajc

A relativistic fluid in 3+1 dimensions with a global $U(1)$ symmetry admits nine independent static susceptibilities at the second order in the hydrodynamic derivative expansion, which capture the response of the fluid in thermal…

High Energy Physics - Theory · Physics 2021-08-26 Sebastian Grieninger , Ashish Shukla

A recently obtained set of the equations for leading-order (3+1)D anisotropic hydrodynamics is tested against exact solutions of the Boltzmann equation with the collisional kernel treated in the relaxation time approximation. In order to…

High Energy Physics - Phenomenology · Physics 2016-01-20 Leonardo Tinti , Radoslaw Ryblewski , Wojciech Florkowski , Michael Strickland

Parity-time-reversal symmetry ($\mathcal{PT}$ symmetry), a symmetry for the combined operations of space inversion ($\mathcal{P}$) and time reversal ($\mathcal{T}$), is a fundamental concept of physics and characterizes the functionality of…

Materials Science · Physics 2024-06-21 Hikaru Watanabe , Youichi Yanase

The late-stage phase ordering, in $d=2$ dimensions, of symmetric fluid mixtures violates dynamical scaling. We show however that, even at 50/50 volume fractions, if an asymmetric droplet morphology is initially present then this sustains…

Soft Condensed Matter · Physics 2009-11-07 Alexander J. Wagner , M. E. Cates

Parity-violating fluids in two spatial dimensions can appear in a variety of contexts such as liquid crystal films, anyon fluids, and quantum Hall fluids. Nonetheless, the consequences of parity-violation on the solutions to the equations…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Andrew Lucas , Piotr Surówka

The hydrodynamic expansion of quark-gluon plasmas with spherical and longitudinally boost-invariant geometries is studied as a function of the initial energy density. The sensitivity of the collective flow pattern to uncertainties in the…

Nuclear Theory · Physics 2009-10-09 Dirk H. Rischke , Miklos Gyulassy

The possibilities of unlike particle correlations for a study of space--time characteristics of particle production are demonstrated. The correlation data from heavy ion collisions is discussed, particularly - in terms of the transport RQMD…

Nuclear Theory · Physics 2007-05-23 R. Lednicky

We compute the full set of second-order inertial corrections to the instantaneous force and torque acting on a small spherical rigid particle moving unsteadily in a general steady linear flow. This is achieved by using matched asymptotic…

Fluid Dynamics · Physics 2023-12-21 Fabien Candelier , Rabah Mehaddi , Bernhard Mehlig , Jacques Magnaudet

The adiabatic inhomogeneities of the scalar curvature lead to a compressible flow affecting the dynamics of the hydromagnetic nonlinearities. The influence of the plasma on the evolution of a putative magnetic field is explored with the aim…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Massimo Giovannini

We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluid-gravity correspondence which provides a map between…

High Energy Physics - Theory · Physics 2009-11-09 Mukund Rangamani