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We study the approach to equilibrium of bottomonium in the quark-gluon plasma within the open quantum system framework. We perform large-scale simulations of the long-time behavior in three dimensions using the quantum trajectory method to…

High Energy Physics - Phenomenology · Physics 2025-08-19 Nora Brambilla , Tom Magorsch , Antonio Vairo

Here we comment on the thermodynamic inconsistency problem and the reformulation of statistical mechanics of widely studied quasiparticle models of quark-gluon plasma. Their starting relation, the expression for pressure itself is a wrong…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vishnu M. Bannur

We numerically solve the Boltzmann equation for trapped fermions in the normal phase using the test-particle method. After discussing a couple of tests in order to estimate the reliability of the method, we apply it to the description of…

Quantum Gases · Physics 2014-11-20 T. Lepers , D. Davesne , S. Chiacchiera , M. Urban

Many physical systems are described by probability distributions that evolve in both time and space. Modeling these systems is often challenging to due large state space and analytically intractable or computationally expensive dynamics. To…

Biological Physics · Physics 2019-07-03 Oliver K. Ernst , Tom Bartol , Terrence Sejnowski , Eric Mjolsness

A simple kinematical argument suggests that the classical approximation may be inadequate to describe the evolution of a system with an anisotropic particle distribution. In order to verify this quantitatively, we study the Boltzmann…

High Energy Physics - Phenomenology · Physics 2015-10-28 Thomas Epelbaum , Francois Gelis , Sangyong Jeon , Guy Moore , Bin Wu

In rotationally symmetric domains, the Boltzmann equation with specular reflection boundary condition has a special type of equilibrium states called the rotational local Maxwellian which, unlike the uniform Maxwellian, has an additional…

Analysis of PDEs · Mathematics 2011-10-04 Chanwoo Kim , Seok-Bae Yun

We study a hard sphere gas at equilibrium, and prove that in the low density limit, the fluctuations converge to a Gaussian process governed by the fluctuating Boltzmann equation. This result holds for arbitrarily long times. The method of…

Analysis of PDEs · Mathematics 2022-01-13 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

Following the recent success of anisotropic hydrodynamics we propose a new, general prescription for the hydrodynamics expansion around an anisotropic background. The anisotropic distribution is fixing exactly the complete energy-momentum…

High Energy Physics - Phenomenology · Physics 2016-10-12 Leonardo Tinti

Spectral methods, thanks to their high accuracy and the possibility to use fast algorithms, represent an effective way to approximate the collisional kinetic equations of Boltzmann type, such as the Boltzmann-Nordheim equation. This…

Numerical Analysis · Mathematics 2021-10-27 Alexandre Mouton , Thomas Rey

We consider a transport equation of the Boltzmann-Langevin type for non-Abelian plasmas close to equilibrium to derive the spectral functions of the underlying microscopic fluctuations from the entropy. The correlator of the stochastic…

High Energy Physics - Phenomenology · Physics 2009-10-31 Daniel F. Litim , Cristina Manuel

We study the abundance of a particle species in a thermalized plasma by introducing a quantum kinetic description based on the non-equilibrium effective action. A stochastic interpretation of quantum kinetics in terms of a Langevin equation…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Boyanovsky , K. Davey , C. M. Ho

The quantum version of the Boltzmann transport equation (Wigner-Boltzmann equation) is a quite useful tool to investigate the effects of energy dissipation in quantum systems. Numerical approaches uses to be employed in order to stablish a…

Statistical Mechanics · Physics 2017-09-19 A. R. Fernandes Nt. , L. F. Santos

In this work we aim to gain qualitative insight on the far-from-equilibrium behavior of the gluon plasma produced in the early stages of a heavy-ion collision. It was recently discovered arXiv:1810.10554 that the distribution functions of…

High Energy Physics - Phenomenology · Physics 2022-06-08 Jasmine Brewer , Bruno Scheihing-Hitschfeld , Yi Yin

The paper presents a solution to the Boltzmann kinetic equation based on the construction of its discrete conservative model. Discrete analogue of the collision integral is presented as a contraction of a tensor, which is independent from…

Statistical Mechanics · Physics 2017-07-04 George Arabuli

Exerting a nonequilibrium drive on an otherwise equilibrium Langevin process brings the dynamics out of equilibrium but can also speedup the approach to the Boltzmann steady-state. Transverse forces are a minimal framework to achieve…

Soft Condensed Matter · Physics 2024-09-19 Federico Ghimenti , Ludovic Berthier , Grzegorz Szamel , Frédéric van Wijland

We investigate the non-linear transport processes and hydrodynamization of a system of gluons undergoing longitudinal boost-invariant expansion. The dynamics is described within the framework of the Boltzmann equation in the small-angle…

High Energy Physics - Phenomenology · Physics 2021-03-24 A. Behtash , S. Kamata , M. Martinez , T. Schaefer , V. Skokov

Quark-gluon plasma's (QGP) properties at non-hydrodynamic and non-perturbative regimes remain largely unexplored. Here, we examine the response functions describing how a QGP-like plasma responds to initial energy-momentum disturbance in…

Nuclear Theory · Physics 2024-04-10 Weiyao Ke , Yi Yin

Using the Langevin approach and the multiscale technique, a kinetic theory of the time and space nonlocal fluctuations in the collisional plasma is constructed. In local equilibrium a generalized version of the Callen-Welton theorem is…

Plasma Physics · Physics 2007-05-23 V. Belyi

We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time…

Statistical Mechanics · Physics 2020-01-10 Edward B. Baker

We analyze the collective modes of high-temperature QCD in the case when there is an anisotropy in the momentum-space distribution function for the gluons. We perform a tensor decomposition of the gluon self-energy and solve the dispersion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul Romatschke , Michael Strickland