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We investigate far from equilibrium energy transport in strongly coupled quantum critical systems. Combining results from gauge-gravity duality, relativistic hydrodynamics, and quantum field theory, we argue that long-time energy transport…

High Energy Physics - Theory · Physics 2015-06-03 M. J. Bhaseen , Benjamin Doyon , Andrew Lucas , Koenraad Schalm

We establish the existence of a far-from-equilibrium attractor in weakly-coupled gauge theory undergoing one-dimensional Bjorken expansion. We demonstrate that the resulting far-from-equilibrium evolution is insensitive to certain features…

High Energy Physics - Phenomenology · Physics 2020-09-23 Dekrayat Almaalol , Aleksi Kurkela , Michael Strickland

Close to equilibrium, the underlying symmetries of a system determine its possible universal behavior. Far from equilibrium, however, different universal phenomena associated with the existence of multiple non-thermal fixed points can be…

Nonthermal fixed points of the dynamics of a dilute degenerate Bose gas far from thermal equilibrium are analyzed in two and three spatial dimensions. Universal power-law distributions, previously found within a nonperturbative…

Quantum Gases · Physics 2012-05-02 Boris Nowak , Jan Schole , Dénes Sexty , Thomas Gasenzer

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

Critical dynamics of an ultracold Bose gas far from equilibrium is studied in two spatial dimensions. Superfluid turbulence is created by quenching the equilibrium state close to zero temperature. Instead of immediately re-thermalizing, the…

Quantum Gases · Physics 2012-08-07 Jan Schole , Boris Nowak , Thomas Gasenzer

Nonthermal fixed points represent basic properties of quantum field theories, in addition to vacuum or thermal equilibrium fixed points. The functional renormalization group on a closed real-time path provides a common framework for their…

High Energy Physics - Theory · Physics 2009-05-26 J. Berges , G. Hoffmeister

Critical phenomena in non-equilibrium systems have been studied by means of a wide variety of theoretical and experimental approaches. Mode-coupling, renormalization group, complex Lie algebras and diagrammatic techniques are some of the…

Statistical Mechanics · Physics 2015-05-13 Enrique Hernandez-Lemus , Leopoldo S. Garcia-Colin

The existence of hydrodynamic attractors in rapidly expanding relativistic systems has shed light on the success of relativistic hydrodynamics in describing heavy-ion collisions at zero chemical potential. As the search for the QCD critical…

Nuclear Theory · Physics 2020-12-30 Travis Dore , Emma McLaughlin , Jacquelyn Noronha-Hostler

As recently proposed, the long-time behavior of equilibrium time-correlation functions for one-dimensional systems are expected to be captured by a nonlinear extension of fluctuating hydrodynamics. We outline the predictions from the theory…

Statistical Mechanics · Physics 2014-08-05 Christian B. Mendl , Herbert Spohn

The quark-gluon plasma created in heavy-ion collisions is not in local thermal equilibrium at early times. Despite this, dissipative hydrodynamics describes the evolution of the energy-momentum tensor quite well after only roughly 0.5 - 1…

High Energy Physics - Phenomenology · Physics 2019-07-24 Michael Strickland

We examine the applicability of relativistic hydrodynamics far from equilibrium by constructing formal solutions of the Boltzmann moment equations in the relaxation time approximation. These solutions naturally decompose into a divergent…

Nuclear Theory · Physics 2026-04-29 Reghukrishnan Gangadharan

We establish the existence of a far-from-equilibrium attractor in weakly-coupled gauge theory undergoing 0+1d Bjorken expansion which goes beyond the energy-momentum tensor to the detailed form of the one-particle distribution function. We…

High Energy Physics - Theory · Physics 2022-08-02 Dekrayat Almaalol , Kirill Boguslavski , Aleksi Kurkela , Michael Strickland

In this contributed chapter, I review our current understanding of the applicability of hydrodynamics to modeling the quark-gluon plasma (QGP), focusing on the question of hydrodynamization/thermalization of the QGP and the anisotropic…

Nuclear Theory · Physics 2024-02-16 Michael Strickland

We investigate the early time dynamics of heavy ion collisions studying the time evolution of the energy-momentum tensor as well as energy-momentum correlations within a uniformly thermalizing holographic QGP. From these quantities, we…

Contemporary understanding of thermalization in quantum field theory stems largely from understanding properties of transient excitations of equilibria. These nonhydrodynamic excitations are known to structurally differ between weakly- and…

High Energy Physics - Theory · Physics 2025-11-17 Xin An , Robbe Brants , Michal P. Heller , Yi Yin

The BGK model kinetic equation is applied to spatially inhomogeneous states near steady uniform shear flow. The shear rate of the reference steady state can be large so the states considered include those very far from equilibrium. The…

Statistical Mechanics · Physics 2009-10-30 Mirim Lee , James W. Dufty

In the context of a nonequilibrium statistical thermodynamics, based on a nonequilibrium statistical ensemble formalism, a generalized hydrodynamics of fluids under driven flow and shear stress is derived. At the thermodynamic level, the…

Statistical Mechanics · Physics 2021-09-21 Clóves Gonçalves Rodrigues , José G. Ramos , Carlos A. B. Silva , Roberto Luzzi

This work is concerned with our recently developed formalism of non-equilibrium thermodynamics. This formalism extends the classical irreversible thermodynamics which leads to classical thermodynamics and can not describe physical phenomena…

Analysis of PDEs · Mathematics 2018-09-06 Zaibao Yang , Wen-An Yong , Yi Zhu

Noncommutativity of observables is a central feature of quantum physics. It plays a fundamental role in the formulation of the uncertainty principle for complementary variables and strongly affects the laws of thermodynamics for systems…

Quantum Physics · Physics 2025-10-07 Franklin L. S. Rodrigues , Eric Lutz