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Systems with long-range interactions display a short-time relaxation towards Quasi-Stationary States (QSSs), whose lifetime increases with system size. With reference to the Hamiltonian Mean Field (HMF) model, we here review Lynden-Bell's…

Statistical Mechanics · Physics 2016-11-23 Pierre-Henri Chavanis , Giovanni De Ninno , Duccio Fanelli , Stefano Ruffo

We propose a novel approach in the study of transport phenomena in dense systems or systems with long range interactions where multiple particle interactions must be taken into consideration. Within Boltzmann's kinetic formalism, we study…

Classical Physics · Physics 2015-06-26 Travis J. Sherman , Johann Rafelski

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are…

Nuclear Theory · Physics 2015-07-29 Leonardo Tinti

I review the recent progress in measuring elliptic flow in heavy ion collisions. These measurements show clearly how hydrodynamics starts to develop as the system size is increased from peripheral to central collisions. During this…

Nuclear Theory · Physics 2009-11-18 Derek Teaney

We assume that the early evolution of matter produced in relativistic heavy-ion collisions is described by the transverse hydrodynamics. In this approach only transverse degrees of freedom are thermalized, while the longitudinal motion is…

Nuclear Theory · Physics 2010-11-01 R. Ryblewski , W. Florkowski

Heavy-ion collisions can be well described through relativistic viscous hydrodynamics, but questions still remain when hydrodynamics is applicable because the initial state may begin very far-from-equilibrium. Thus, a pre-equilibrium…

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

A kinetic theory for relativistic gases in the presence of gravitational fields is developed in the second post-Newtonian approximation. The corresponding Boltzmann equation is determined from the evolution of the one-particle distribution…

General Relativity and Quantum Cosmology · Physics 2021-02-04 Gilberto M. Kremer

We report on the approach towards the hydrodynamic regime of boost-invariant N=4 super Yang-Mills plasma at strong coupling starting from various far-from-equilibrium states at tau=0. The results are obtained through numerical solution of…

High Energy Physics - Theory · Physics 2012-06-13 Michal P. Heller , Romuald A. Janik , Przemyslaw Witaszczyk

We explore the far-off-equilibrium aspects of the (1+1)-dimensional early-stage evolution of a weakly-coupled quark-gluon plasma using kinetic theory and hydrodynamics. For a large set of far-off-equilibrium initial conditions the system…

Nuclear Theory · Physics 2023-12-11 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

It is argued that the relativistic Vlasov--Maxwell equations of the kinetic theory of plasma approximately describe a relativistic system of $N$ charged point particles interacting with the electromagnetic Maxwell fields in a…

Plasma Physics · Physics 2020-08-12 Michael K. -H. Kiessling , Yves Elskens

We consider a general model of Hamiltonian wave systems with triple resonances, in the standard kinetic limit of a continuum of weakly interacting dispersive waves with random phases. In this asymptotic limit we show that the correct…

Fluid Dynamics · Physics 2015-06-03 Gregory L. Eyink , Yi-Kang Shi

We solve a Boltzmann equation for massless quark and gluon fluids in a transversally homogeneous, longitudinally boost-invariant expansion. Quarks can be out of chemical equilibrium and the relaxation times of the two species are assumed to…

High Energy Physics - Phenomenology · Physics 2024-12-20 Ferdinando Frascà , Andrea Beraudo , Michael Strickland

Relativistic hydrodynamics simulations of quark-gluon plasma play a pivotal role in our understanding of heavy ion collisions at RHIC and LHC. They are based on a phenomenological description due to Mueller, Israel, Stewart (MIS) and…

High Energy Physics - Theory · Physics 2016-08-08 Michal P. Heller , Romuald A. Janik , Michal Spalinski , Przemyslaw Witaszczyk

The long-time behavior of transport coefficients in a model for spatially heterogeneous media in two and three dimensions is investigated by Molecular Dynamics simulations. The behavior of the velocity auto-correlation function is…

Soft Condensed Matter · Physics 2007-05-23 Felix Höfling , Thomas Franosch

The second-order hydrodynamical description of a homogeneous conformal plasma that undergoes a boost- invariant expansion is given by a single nonlinear ordinary differential equation, whose resurgent asymptotic properties we study,…

High Energy Physics - Theory · Physics 2015-12-23 Gokce Basar , Gerald V. Dunne

After a general overview of some features of the relaxation dynamics of the Hamiltonian Mean Field model, its equilibrium thermodynamic properties are used to rephrase the out-of-equilibrium regime for energies below the critical point…

Statistical Mechanics · Physics 2009-10-16 L. Velazquez , F. Guzman

Using information theory we derive a thermodynamics for systems evolving under a collective motion, i.e. under a time-odd constraint. An illustration within the Lattice gas Model is given for two model cases: a collision between two complex…

Nuclear Theory · Physics 2015-06-26 F. Gulminelli , PH. Chomaz

Motivated by the recent interest in non-equilibrium phenomena in quantum many-body systems, we study strongly interacting fermions on a lattice by deriving and numerically solving quantum Boltzmann equations that describe their relaxation…

Quantum Physics · Physics 2019-12-10 Friedemann Queisser , Sebastian Schreiber , Peter Kratzer , Ralf Schützhold

Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit…

Soft Condensed Matter · Physics 2019-08-27 Dora Bardfalvy , Henrik Nordanger , Cesare Nardini , Alexander Morozov , Joakim Stenhammar
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