English
Related papers

Related papers: Fluid Dynamics far from Local Equilibrium

200 papers

We investigate whether hydrodynamic attractors are present in simulations of the quark-gluon plasma formed in heavy-ion collisions. We argue that Lagrangian schemes to solve the relativistic viscous fluid equations can be particularly…

Nuclear Theory · Physics 2021-02-03 Gabriel S. Denicol , Jorge Noronha

Nonequilibrium thermodynamics has shown its applicability in a wide variety of different situations pertaining to fields such as physics, chemistry, biology, and engineering. As successful as it is, however, its current formulation…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the…

High Energy Physics - Theory · Physics 2026-01-13 Kedar S. Kolekar , Taniya Mandal , Ashish Shukla , Pushkar Soni

Ten years ago, relativistic viscous fluid dynamics was formulated from first principles in an effective field theory framework, based entirely on the knowledge of symmetries and long-lived degrees of freedom. In the same year, numerical…

Nuclear Theory · Physics 2019-05-21 Paul Romatschke , Ulrike Romatschke

We review the key steps of the relativistic fluid dynamics formalism with spin degrees of freedom initiated recently. We obtain equations of motion of the expansion of the system from the underlying definitions of quantum kinetic theory for…

Nuclear Theory · Physics 2021-04-06 Rajeev Singh

We resum the non-equilibrium gradient corrections to a single-particle distribution function evolved by the Boltzmann equation in the relaxation time approximation (RTA). We first study a system undergoing Bjorken expansion and show that,…

Nuclear Theory · Physics 2020-05-13 Mike McNelis , Ulrich Heinz

We study the evolution of local event-by-event deviations from smooth average fluid dynamic fields, as they can arise in heavy ion collisions from the propagation of fluctuating initial conditions. Local fluctuations around Bjorken flow are…

Nuclear Theory · Physics 2012-08-20 Stefan Floerchinger , Urs Achim Wiedemann

For the Bjorken flow we investigate the hydrodynamization of different modes of the one-particle distribution function by analyzing its relativistic kinetic equations. We calculate the constitutive relations of each mode written as a…

High Energy Physics - Theory · Physics 2019-09-23 Alireza Behtash , C. N. Cruz-Camacho , Syo Kamata , M. Martinez

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov

We investigate the implications of the general frame approach for conformal Bjorken flow beyond the earlier studies. We show that the power series solution at late times is not unique and is accompanied by an exact solution of the form…

High Energy Physics - Theory · Physics 2020-09-02 M. Shokri , F. Taghinavaz

The gradient expansion is the fundamental organising principle underlying relativistic hydrodynamics, yet understanding its convergence properties for general nonlinear flows has posed a major challenge. We introduce a simple method to…

High Energy Physics - Theory · Physics 2022-04-06 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Viktor Svensson , Benjamin Withers

We present a derivation of a stochastic model of Navier Stokes equations that relies on a decomposition of the velocity fields into a differentiable drift component and a time uncorrelated uncertainty random term. This type of decomposition…

Fluid Dynamics · Physics 2015-06-15 Etienne Mémin

In the context of the longitudinally boost-invariant Bjorken flow with transverse expansion, we use three different numerical methods to analyze the emergence of attractor solutions in an ideal gas of massless particles exhibiting constant…

Nuclear Theory · Physics 2021-12-21 Victor E. Ambrus , Sergiu Busuioc , Jan A. Fotakis , Kai Gallmeister , Carsten Greiner

Hybrid fluid models, consisting of two sectors with more weakly and more strongly self-interacting degrees of freedom coupled consistently as in the semi-holographic framework, have been shown to exhibit an attractor surface for Bjorken…

High Energy Physics - Phenomenology · Physics 2024-04-12 Toshali Mitra , Sukrut Mondkar , Ayan Mukhopadhyay , Anton Rebhan , Alexander Soloviev

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is…

Statistical Mechanics · Physics 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

The Boltzmann equation is solved in the relaxation time approximation using a hierarchy of angular moments of the distribution function. Our solution is obtained for an azimuthally symmetric radially expanding boost-invariant conformal…

Nuclear Theory · Physics 2020-06-24 Ashutosh Dash , Victor Roy

We obtain general analytical solutions of third-order viscous hydrodynamic equations for Bjorken and Gubser flows in systems with vanishing bulk viscosity and chemical potential, and having a constant shear relaxation time. We also…

Nuclear Theory · Physics 2019-02-20 Chandrodoy Chattopadhyay , Amaresh Jaiswal , Sunil Jaiswal , Subrata Pal

We derive the general analytical solution of the viscous hydrodynamic equations for an ultrarelativistic gas of hard spheres undergoing Bjorken expansion, taking into account effects from particle number conservation, and use it to…

Nuclear Theory · Physics 2020-04-22 Gabriel S. Denicol , Jorge Noronha

In this paper we use the gauge/gravity duality to perform the first systematic study of the onset of hydrodynamic behavior in a hot and dense far-from-equilibrium strongly coupled relativistic fluid with a critical point. By employing a…

High Energy Physics - Theory · Physics 2026-02-26 Renato Critelli , Romulo Rougemont , Jorge Noronha

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

Statistical Mechanics · Physics 2016-01-05 Herbert Spohn