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Related papers: A Boltzmann Equation for the QCD Plasma

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Quantum Chromodynamics (QCD) is expected to have a first order phase transition between the confined hadron gas and the deconfined quark gluon plasma at high baryon densities. This will result in phase boundary effects in the metastable and…

High Energy Physics - Phenomenology · Physics 2024-11-11 Joseph I. Kapusta , Mayank Singh , Thomas Welle

We discuss the basic transport phenomena in gases and plasmas obeying the $q$-nonextensive velocity distribution (power-law). Analytical expressions for the thermal conductivity ($K_q$) and viscosity ($\eta_q$) are derived by solving the…

Statistical Mechanics · Physics 2009-11-07 J. R. Bezerra , R. Silva , J. A. S. Lima

We show that the spatially homogeneous Boltzmann equation evolves as the gradient flow of the entropy with respect to a suitable geometry on the space of probability measures which takes the collision process into account. This gradient…

Analysis of PDEs · Mathematics 2023-06-14 Matthias Erbar

QCD jets produced in heavy-ion collisions at LHC or RHIC energies partially evolve inside the produced hot and dense quark gluon plasma, offering unique opportunities to study QCD splitting processes in different backgrounds. Induced…

High Energy Physics - Phenomenology · Physics 2021-06-17 João Barata , Fabio Domínguez , Carlos Salgado , Víctor Vila

The use of the linear Boltzmann equation is proposed for transport in porous media in a column. By column experiments, we show that the breakthrough curve is reproduced by the linear Boltzmann equation. The advection-diffusion equation is…

Geophysics · Physics 2019-08-05 Kenji Amagai , Motoko Yamakawa , Manabu Machida , Yuko Hatano

Detailed deducing of formulas for longitudinal electric conductivity and dielectric permeability in the quantum degenerate collisional plasma with constant collision frequency in Mermin' approach is given. The kinetic…

Plasma Physics · Physics 2013-01-01 A. V. Latyshev , A. A. Yushkanov

Transport equations have been applied successfully to describe the quarkonium evolution inside the quark-gluon plasma, which include both plasma screening effects and recombination. We demonstrate how the quarkonium transport equation is…

High Energy Physics - Phenomenology · Physics 2020-09-03 Xiaojun Yao , Weiyao Ke , Yingru Xu , Steffen Bass , Thomas Mehen , Berndt Müller

We study the diffusion properties of the strongly interacting quark-gluon plasma (sQGP) and evaluate the diffusion coefficient matrix for the baryon ($B$), strange ($S$) and electric ($Q$) charges - $\kappa_{qq'}$ ($q,q' = B, S, Q$) and…

High Energy Physics - Phenomenology · Physics 2021-08-25 Jan A. Fotakis , Olga Soloveva , Carsten Greiner , Olaf Kaczmarek , Elena Bratkovskaya

Evolution of spatially anisotropic perturbation created in the system formed after Relativistic Heavy Ion Collisions has been studied. The microscopic evolution of the fluctuations has been examined within the ambit of Boltzmann Transport…

Nuclear Theory · Physics 2018-03-19 Golam Sarwar , Jan-e Alam

I present a study of the equation of state in quenched QCD, discussing some systematic effects related to the lattice geometry. In particular, I comment on the modification of the Stefan-Boltzmann law for a gas of free gluons in a finite…

High Energy Physics - Lattice · Physics 2010-01-21 Marco Panero

We investigate the electromagnetic response of a viscous quark-gluon plasma in the framework of the relativistic Boltzmann equation with current conserving collision term. Our formalism incorporates dissipative effects at all orders in…

High Energy Physics - Phenomenology · Physics 2022-07-27 Christopher Grayson , Martin Formanek , Johann Rafelski , Berndt Mueller

In order to describe properties of an equilibrated quark-gluon plasma, QCD at finite temperature (and density) has to be considered. Besides lattice calculations, which can be applied only to static quantities at zero density, perturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Markus H. Thoma

A model of scalar quarks and scalar gluons is used to derive transport equations for quarks and gluons. In particular, the collision integral is studied. The self-energy diagrams are organized according to the number of loops. A generalized…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. S. Isert , S. P. Klevansky

Recent measurements of polarization phenomena in relativistic heavy ion collisions have aroused a great interest in understanding dynamical spin evolution of the QCD matter. In particular, the spin alignment signature of $J/\psi$ has been…

High Energy Physics - Phenomenology · Physics 2025-02-27 Di-Lun Yang , Xiaojun Yao

We present a mathematical theory of dynamical fluctuations for the hard sphere gas in the Boltzmann-Grad limit. We prove that: (1) fluctuations of the empirical measure from the solution of the Boltzmann equation, scaled with the square…

Analysis of PDEs · Mathematics 2022-08-26 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

The derivative expansion method has been used to solve the semiclassical kinetic equations of quark-gluon plasma (QGP). The nonlinear spatial damping rate, the imaginary part of the wave vector, for the longitudinal secondary color waves in…

High Energy Physics - Phenomenology · Physics 2015-06-25 Chen Jisheng Li Jiarong

For many practical purposes, it is convenient to formulate unbroken non-abelian gauge theories like QCD in a color-flow basis. We present a new derivation of SU(N) interactions in the color-flow basis by extending the gauge group to…

High Energy Physics - Phenomenology · Physics 2012-10-10 W. Kilian , T. Ohl , J. Reuter , C. Speckner

In this paper we complete the program initiated by the first and second authors and rigorously derive a Boltzmann-type equation that incorporates higher order collisions among gas particles. More precisely, starting from a finite…

Analysis of PDEs · Mathematics 2024-09-11 Ioakeim Ampatzoglou , Nataša Pavlović , William Warner

We apply a Boltzmann approach to the kinetic regime of a relativistic Bose-Einstein condensate of scalar bosons by decomposing the one-particle distribution function in a condensate part and a non-zero momentum part of excited modes,…

High Energy Physics - Phenomenology · Physics 2016-03-23 Alex Meistrenko , Hendrik van Hees , Kai Zhou , Carsten Greiner

A new form of the model collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is derived. One-component and many-component systems are considered. The collision operator proposed takes properly into account the…

Statistical Mechanics · Physics 2014-09-23 Viacheslav V. Belyi