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Related papers: A Boltzmann Equation for the QCD Plasma

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Quantum chromodymamics (QCD) approach to the problem of multiplicity distributions in high energy particle collisions is described. The solutions of QCD equations for generating functions of the multiplicity distributions in gluon and quark…

High Energy Physics - Phenomenology · Physics 2010-12-17 I. M. Dremin

The Quantum Lattice Boltzmann Method (QLBM) has emerged as one of the most promising quantum computing approaches for the numerical simulation of problems in computational fluid dynamics (CFD). The dynamics is formulated in terms of…

We derive a fluctuating lattice Boltzmann method for the diffusion equation. The derivation removes several shortcomings of previous derivations for fluctuating lattice Boltzmann methods for hydrodynamic systems. The comparative simplicity…

Computational Physics · Physics 2017-05-15 Alexander J. Wagner , Kyle Strand

When the quark-gluon plasma (QGP) - a system of deconfined quarks and gluons - is in a nonequilibrium state, it is usually unstable with respect to color collective modes. The instabilities, which are expected to strongly influence dynamics…

High Energy Physics - Phenomenology · Physics 2017-06-07 Stanislaw Mrowczynski , Bjoern Schenke , Michael Strickland

We compute the non-equilibrium stress tensor induced by a heavy quark moving through weakly coupled QCD plasma at the speed of light and compare the result to N = 4 Super Yang Mills theory at strong coupling. The QCD Boltzmann equation is…

Nuclear Theory · Physics 2012-06-12 Juhee Hong , Derek Teaney , Paul M. Chesler

We reformulate and extend our recently introduced quantum kinetic theory for interacting fermion and scalar fields. Our formalism is based on the coherent quasiparticle approximation (cQPA) where nonlocal coherence information is encoded in…

High Energy Physics - Phenomenology · Physics 2011-01-26 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

The Boltzmann equation describes the evolution of the phase-space probability distribution of classical particles under binary collisions. Approximations to it underlie the basis for several scholarly fields, including aerodynamics and…

Plasma Physics · Physics 2023-08-09 George J. Wilkie , Torsten Keßler , Sergej Rjasanow

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the…

Nuclear Theory · Physics 2013-05-22 Amaresh Jaiswal

We employ a non-equilibrium Quantum Chromodynamics (QCD) kinetic description to study the kinetic and chemical equilibration of the Quark-Gluon Plasma (QGP) at weak coupling. Based on our numerical framework, which explicitly includes all…

High Energy Physics - Phenomenology · Physics 2021-09-22 Xiaojian Du , Sören Schlichting

Within the framework of the hard thermal loop effective theory we derive a system of Boltzmann-like kinetic equations taking into account the simplest processes of nonlinear interaction of soft fermionic and bosonic QCD plasma excitations:…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Markov , M. A. Markova

The second-order hydrodynamic equations for evolution of shear and bulk viscous pressure have been derived within the framework of covariant kinetic theory based on the effective fugacity quasiparticle model. The temperature-dependent…

High Energy Physics - Phenomenology · Physics 2021-09-22 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

Formulas for the longitudinal dielectric permeability in quantum non-degenerate and maxwellian collisional plasma with the frequency of collisions proportional to the module of the wave vector, in Mermin's approach, are received. Equation…

Plasma Physics · Physics 2013-02-06 A. V. Latyshev , A. A. Yushkanov

We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the ``golden rule'' factor for quantum…

Condensed Matter · Physics 2008-02-03 R. K. Bhaduri , R. S. Bhalerao , M. V. N. Murthy

The phenomenological textbook equations for the charge and heat transport are extensively used in a number of fields ranging from semiconductor devices to thermoelectricity. We provide a rigorous derivation of transport equations by solving…

Materials Science · Physics 2017-06-28 M. Battiato , V. Zlatic , K. Held

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

We derive a fluctuation dissipation relation connecting the drag and diffusion jet transport coefficients for an energetic light quark traversing a non-perturbative thermalized gluon plasma. The hard quark is taken to be close to on-shell,…

High Energy Physics - Phenomenology · Physics 2026-03-16 Amit Kumar , Abhijit Majumder , Ismail Soudi , Johannes Heinrich Weber

Under suitable non-equilibrium conditions QCD plasma can develop plasma instabilities, where some modes of the plasma grow exponentially. It has been argued that these instabilities can play a significant role in the thermalisation of the…

High Energy Physics - Lattice · Physics 2008-11-26 Dietrich Bodeker , Kari Rummukainen

In this article, I study the diffusive behavior for a quantum test particle interacting with a dilute background gas. The model I begin with is a reduced picture for the test particle dynamics given by a quantum linear Boltzmann equation in…

Mathematical Physics · Physics 2017-08-23 Jeremy Clark

Transport properties of a thermal medium determine how its conserved charge densities (for instance the electric charge, energy or momentum) evolve as a function of time and eventually relax back to their equilibrium values. Here the…

High Energy Physics - Lattice · Physics 2015-03-19 Harvey B. Meyer

We provide a rigorous derivation of Boltzmann's kinetic equation from the hard sphere system for rarefied gas, which is valid for arbitrarily long times, as long as the solution to the Boltzmann equation exists. This extends Lanford's…

Analysis of PDEs · Mathematics 2025-07-22 Yu Deng , Zaher Hani , Xiao Ma
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