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We present an exact solution of the relativistic Boltzmann equation for a system undergoing boost-invariant longitudinal and azimuthally symmetric transverse flow ("Gubser flow"). The resulting exact non-equilibrium dynamics is compared to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gabriel S. Denicol , Ulrich W. Heinz , Mauricio Martinez , Jorge Noronha , Michael Strickland

Anisotropic hydrodynamics is a reorganization of the relativistic hydrodynamics expansion, with the leading order already containing substantial momentum-space anisotropies. The latter are a cause of concern in the traditional viscous…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leonardo Tinti

The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and anisotropic hydrodynamics. We neglect…

Nuclear Theory · Physics 2016-12-21 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

A newly proposed framework of perfect-fluid relativistic hydrodynamics for particles with spin 1/2 is briefly reviewed. The hydrodynamic equations follow entirely from the conservation laws for energy, momentum, and angular momentum. The…

Nuclear Theory · Physics 2019-02-20 W. Florkowski , B. Friman , A. Jaiswal , R. Ryblewski , E. Speranza

Evolution of spin polarization in the Gubser-expanding conformal perfect-fluid hydrodynamic background is studied. The analysis of the conformal transformation properties of the conservation laws is extended to the case of the angular…

High Energy Physics - Phenomenology · Physics 2021-05-05 Rajeev Singh , Gabriel Sophys , Radoslaw Ryblewski

The application range of perfect spin hydrodynamics is studied in two cases: one based on the classical spin description and the other using a quantum spin density matrix (Wigner function). Different forms of the conditions connecting the…

High Energy Physics - Phenomenology · Physics 2026-01-22 Zbigniew Drogosz , Wojciech Florkowski , Valeriya Mykhaylova

We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current…

High Energy Physics - Theory · Physics 2020-08-27 Jan de Boer , Jelle Hartong , Emil Have , Niels A. Obers , Watse Sybesma

We exactly solve the relaxation-time approximation Boltzmann equation for a system which is transversely homogeneous and undergoing boost-invariant longitudinal expansion. We compare the resulting exact numerical solution with approximate…

Nuclear Theory · Physics 2013-09-27 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland

We use quasiparticle anisotropic hydrodynamics to study the non-conformal and non-extensive dynamics of a system undergoing boost-invariant Bjorken expansion. To introduce nonextensivity, we use an underlying Tsallis distribution with a…

Nuclear Theory · Physics 2022-11-23 Mubarak Alqahtani , Nasser Demir , Michael Strickland

I discuss the constructions of boost-invariant dissipative conformal hydrodynamic flows by elaborating on the geometric procedure by Gubser and Yarom, which starts from a static, maximally symmetric flow on dS$_3\times\mathbb{R}$. Three…

High Energy Physics - Theory · Physics 2025-12-05 Sašo Grozdanov

In this work, we provide a novel method to constrain the causal parameter space of a relativistic hydrodynamic system exclusively from its linear stability analysis at non-zero momenta. Our approach exploits the Lorentz-invariant stability…

High Energy Physics - Theory · Physics 2026-05-13 Shuvayu Roy , Sukanya Mitra , Rajeev Singh

We solve the relativistic Navier-Stokes equations with homogeneous boost-invariant boundary conditions, and perform a stability analysis of the solution. We show that, if the bulk viscosity has a peak around $T_c$ as inferred from QCD-based…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giorgio Torrieri , Igor Mishustin

We derive the hydrodynamic equations of perfect fluids without boost invariance [1] from kinetic theory. Our approach is to follow the standard derivation of the Vlasov hierarchy based on an a-priori unknown collision functional satisfying…

High Energy Physics - Theory · Physics 2025-10-01 Kevin T. Grosvenor , Niels A. Obers , Subodh P. Patil

We review basic ingredients of the recently introduced perfect-fluid hydrodynamic equations for particles with spin one-half. For a quasi-realistic setup, first numerical solutions for various hydrodynamic variables including the spin…

We solve the one-dimensional boost-invariant kinetic equation for a relativistic massive system with the collision term treated in the relaxation time approximation. The result is an exact integral equation which can be solved numerically…

High Energy Physics - Phenomenology · Physics 2014-05-22 Wojciech Florkowski , Ewa Maksymiuk , Radoslaw Ryblewski , Michael Strickland

We compare two recently developed frameworks of perfect spin hydrodynamics for spin-$1/2$ particles, based respectively on classical kinetic theory and the Wigner function. We show that the conserved currents in both approaches have the…

High Energy Physics - Phenomenology · Physics 2026-01-30 Zbigniew Drogosz

We develop a new theory of perfect fluids with translation and rotation symmetry, which is also applicable in the absence of any type of boost symmetry. It involves introducing a new fluid variable, the kinetic mass density, which is needed…

High Energy Physics - Theory · Physics 2018-07-18 Jan de Boer , Jelle Hartong , Niels A. Obers , Watse Sybesma , Stefan Vandoren

Using a holographic method, we further investigate the relaxation towards the hydrodynamic regime of a boost-invariant non-Abelian plasma taken out-of-equilibrium. In the dual description, the system is driven out-of-equilibrium by boundary…

High Energy Physics - Phenomenology · Physics 2015-06-23 L. Bellantuono , P. Colangelo , F. De Fazio , F. Giannuzzi

We study relativistic spin hydrodynamics on the hyperbolic $\kappa=-1$ flow background recently identified by Grozdanov. This background corresponds to an $SO(2,1)$-invariant, transversely expanding solution with finite spacetime support in…

Nuclear Theory · Physics 2026-03-04 Rajeev Singh , Alexander Soloviev

We study the convergence of the hydrodynamic series in the gravity dual of Gauss-Bonnet gravity in five dimensions with negative cosmological constant via holography. By imposing boost invariance symmetry, we find a solution to the…

High Energy Physics - Theory · Physics 2018-05-23 Jorge Casalderrey-Solana , Nikola I. Gushterov , Ben Meiring