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The Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy provides a time-reversal-symmetric framework for describing the nonequilibrium evolution of many-body systems. Despite the success of Boltzmann-based numerical approaches,…

Nuclear Theory · Physics 2026-03-25 Xingjian Lu , Shuzhe Shi

Correlations born before the onset of hydrodynamic flow can leave observable traces on the final state particles. Measurement of these correlations can yield important information on the isotropization and thermalization process. Starting…

Nuclear Theory · Physics 2017-07-20 Sean Gavin , George Moschelli , Christopher Zin

In this work, we analyze the Born, Bogoliubov, Green, Kirkwood and Yvon (BBGKY) hierarchy of equations for describing the full time-evolution of a many-body fermionic system in terms of its reduced density matrices (at all orders). We…

Materials Science · Physics 2012-06-26 Ali Akbari , Mohammad Javad Hashemi , Risto M. Nieminen , Robert van Leeuwen , Angel Rubio

The linearized Boltzmann equation is considered to describe small spatial perturbations of the homogeneous cooling state. The corresponding macroscopic balance equations for the density, temperature, and flow velocity are derived from it as…

Statistical Mechanics · Physics 2015-06-24 J. Javier Brey , James W. Dufty , M. J. Ruiz-Montero

Understanding the applicability of fluid-dynamical models to describe the hot and dense matter produced in the early stages of hadronic collisions is a fundamental problem in the field. In particular, it is not clear to what degree this…

Nuclear Theory · Physics 2025-10-17 Caio V. P. de Brito , Gabriel S. Denicol

The application of the eigenstate thermalization hypothesis to non-Hermitian quantum systems has become one of the most important topics in dissipative quantum chaos, recently giving rise to intense debates. The process of thermalization is…

Quantum Physics · Physics 2024-07-18 Yiting Mao , Peigeng Zhong , Haiqing Lin , Xiaoqun Wang , Shijie Hu

The system of our interest is a dilute binary mixture, in which we consider that the species have different temperatures as an initial condition. To study their time evolution, we use the full version of the Boltzmann equation, under the…

Statistical Mechanics · Physics 2015-09-10 Valdemar Moratto , L. S. Garcia-Colin

Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains. In these systems, there is a natural separation of scales between the strong intra-chain interactions and the weak interchain coupling.…

Quantum Gases · Physics 2023-02-21 Miłosz Panfil , Sarang Gopalakrishnan , Robert M. Konik

In this paper, the first microscopic approach to the Brownian motion is developed in the case where the mass density of the suspending bath is of the same order of magnitude as that of the Brownian (B) particle. Starting from an extended…

Condensed Matter · Physics 2009-10-28 Lydéric Bocquet , Jarosław Piasecki

We investigate thermalization of gluons in spatially homogeneous systems using the Boltzmann equation in diffusion approximation. A complete picture on thermalization is obtained for both initially under- and over-populated systems. In an…

High Energy Physics - Phenomenology · Physics 2022-10-14 Sergio Barrera Cabodevila , Carlos A. Salgado , Bin Wu

We revisit the Boltzmann equation governing the spectrum of energetic particles originating from the decay of massive progenitors during the process of thermalization. We assume that these decays occur when the background temperature $T$ is…

High Energy Physics - Phenomenology · Physics 2022-03-22 Manuel Drees , Bardia Najjari

Understanding the realization of thermal equilibrium through the thermalization process in a many-body system is a fundamental and complex scientific question, bridging thermodynamics and classical dynamics and connecting to a host of…

Statistical Mechanics · Physics 2026-04-07 Zhenwei Yao

We follow the time evolution of nonabelian gauge bosons from far-from-equilibrium initial conditions to thermal equilibrium by numerically solving an effective kinetic equation that becomes accurate in the weak coupling limit. We consider…

High Energy Physics - Phenomenology · Physics 2014-11-05 Aleksi Kurkela , Egang Lu

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

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

Thermalization is the dynamical process by which a many-body system evolves toward a thermal equilibrium state that maximizes its entropy. In certain cases, however, the establishment of thermal equilibrium is significantly slowed down and…

Quantum Gases · Physics 2022-09-07 Murad Abuzarli , Nicolas Cherroret , Tom Bienaimé , Quentin Glorieux

In this paper we propose a novel approach to construct macroscopic balance equations and constitutive equations describing various irreversible phenomena. It is based on the general principles of non-equilibrium thermodynamics and consists…

Statistical Mechanics · Physics 2014-11-27 Liu Hong , Zaibao Yang , Yi Zhu , Wen-An Yong

Phase separation of binary fluids quenched by contact with cold external walls is considered. Navier-Stokes, convection-diffusion, and energy equations are solved by lattice Boltzmann method coupled with finite-difference schemes. At high…

Soft Condensed Matter · Physics 2015-05-20 G. Gonnella , A. Lamura , A. Piscitelli , A. Tiribocchi

Construction, in the framework of a Nonequilibrium Statistical Ensemble Formalism, of a Mesoscopic Hydro-Thermodynamics, that is, covering phenomena involving motion displaying variations short in space and fast in time -unrestricted values…

Fluid Dynamics · Physics 2012-10-30 C. A. B. Silva , J. G. Ramos , A. R. Vasconcellos , R. Luzzi

The study of strongly out-of-equilibrium states and their time evolution towards thermalization is critical to the understanding of an ever widening range of physical processes. We present a numerical method that for the first time allows…

Computational Physics · Physics 2021-04-07 Michael Wais , Karsten Held , Marco Battiato
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