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Related papers: Collisional relaxation of two-dimensional self-gra…

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We present a kinetic description of Bose-Einstein condensation for particle systems being out of thermal equilibrium, which may happen for gluons produced in the early stage of ultra-relativistic heavy-ion collisions. The dynamics of bosons…

High Energy Physics - Phenomenology · Physics 2017-08-02 Kai Zhou , Zhe Xu , Pengfei Zhuang , Carsten Greiner

We propose a discrete lattice version of the Fokker-Planck kinetic equation along lines similar to the Lattice-Boltzmann scheme. Our work extends an earlier one-dimensional formulation to arbitrary spatial dimension $D$. A generalized…

Statistical Mechanics · Physics 2009-11-11 Daniele Moroni , Benjamin Rotenberg , Jean-Pierre Hansen , Sauro Succi , Simone Melchionna

We derive the transport equations of quark-gluon plasma in the quasi-linear approximation. The equations are either of the Balescu-Lenard or Fokker-Planck form. The plasma's dynamics is assumed to be governed by longitudinal chromoelectric…

High Energy Physics - Phenomenology · Physics 2010-04-29 Stanislaw Mrowczynski , Berndt Muller

The retardation and temperature effects in two-body collisions are studied. The collision integral with retardation effects is obtained on the base of the Kadanoff- Baym equations for Green functions in a form with allowance for reaching…

Nuclear Theory · Physics 2007-05-23 V. A. Plujko , O. M. Gorbachenko , M. O. Kavatsyuk

The microscopic dynamics of one-dimensional self-gravitating many-body systems is studied. We examine two courses of the evolution which has the isothermal and stationary water-bag distribution as initial conditions. We investigate the…

chao-dyn · Physics 2009-10-22 Toshio Tsuchiya , Tetsuro Konishi , Naoteru Gouda

A simple approach is proposed allowing actual calculations of the preequilibrium dynamics in ultrarelativistic heavy-ion collisions to be performed for a far-from-equilibrium initial state. The method is based on the phenomenological…

Nuclear Theory · Physics 2010-07-08 S. V. Akkelin , Yu. M. Sinyukov

We present a new approach to analyze homogeneous nucleation based on non-equilibrium thermodynamics. The starting point is the formulation of a Gibbs equation for the variations of the entropy of the system, whose state is characterized by…

Condensed Matter · Physics 2007-05-23 D. Reguera Lopez , J. M. Rubi , A. Perez-Madrid

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

The long-term dynamics of long-range interacting $N$-body systems can generically be described by the Balescu-Lenard kinetic equation. However, for ${1D}$ homogeneous systems, this collision operator exactly vanishes by symmetry. These…

Statistical Mechanics · Physics 2019-12-04 Jean-Baptiste Fouvry , Ben Bar-Or , Pierre-Henri Chavanis

In this paper we continue the study of the derivation of different types of kinetic equations which arise from scaling limits of interacting particle systems. We began this study in \cite{NVW}. More precisely, we consider the derivation of…

Mathematical Physics · Physics 2021-03-18 Alessia Nota , Juan J. L. Velázquez , Raphael Winter

Systems with long-range interactions, while relaxing towards equilibrium, sometimes get trapped in long-lived non-Boltzmann quasistationary states (QSS) which have lifetimes that grow algebraically with the system size. Such states have…

Statistical Mechanics · Physics 2015-03-17 Shamik Gupta , David Mukamel

This thesis is devoted to studying aspects of real-time nonequilibrium dynamics in quantum field theory by implementing an initial value formulation of quantum field theory. The main focus is on the linear relaxation of mean fields and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shang-Yung Wang

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

We investigate the non-equilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system…

Statistical Mechanics · Physics 2015-03-10 Ignacio Salazar Landea , Nicolas Nessi

We review the non-relativistic Green's-function approach to the kinetic equations for Fermi liquids far from equilibrium. The emphasis is on the consistent treatment of the off-shell motion between collisions and on the non-instant and…

Nuclear Theory · Physics 2017-03-08 P. Lipavsky , K. Morawetz , V. Spicka

A kinetic equation for the collisional evolution of stable, bound, self gravitating and slowly relaxing systems is established, which is valid when the number of constituents is very large. It accounts for the detailed dynamics and self…

Astrophysics of Galaxies · Physics 2010-05-04 Jean Heyvaerts

The dynamics of a system composed of elastic hard particles confined by an isotropic harmonic potential are studied. In the low-density limit, the Boltzmann equation provides an excellent description, and the system does not reach…

Statistical Mechanics · Physics 2024-09-13 P. Maynar , M. I. García de Soria , D. Guéry-Odelin , E. Trizac

Using the prescription of the nonequilibrium statistical operator method, we derive a non-Markovian generalization to the kinetic theory described by Walser {\sl et al.} [Phys. Rev. A {\bf 59}, 3878 (1999)]. Quasi-particle damping and…

Condensed Matter · Physics 2015-06-24 S. G. Bhongale , R. Walser , M. J. Holland

We investigate systems of self-propelled particles with alignment interaction. Compared to previous work, the force acting on the particles is not normalized and this modification gives rise to phase transitions from disordered states at…

Mathematical Physics · Physics 2014-09-25 Pierre Degond , Amic Frouvelle , Jian-Guo Liu

This paper uses dynamical invariants to describe the evolution of collisionless systems subject to time-dependent gravitational forces without resorting to maximum-entropy probabilities. We show that collisionless relaxation can be viewed…

Astrophysics of Galaxies · Physics 2015-06-03 Jorge Peñarrubia