scholarly journals Covariant kinetic theory for effective fugacity quasiparticle model and first order transport coefficients for hot QCD matter

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Sukanya Mitra ◽  
Vinod Chandra
Keyword(s):  
Kinetic Theory ◽  
Transport Coefficients ◽  
First Order ◽  
Quasiparticle Model

Kinetic theory

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Distribution Function ◽  
Kinetic Theory ◽  
Liouville Equation ◽  
Vlasov Equation ◽  
Particle Distribution ◽  
Equations Of Motion ◽  
Poisson Brackets ◽  
Hamiltonian Form ◽  
First Order ◽  
Number Of Particles

This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equation. Finally, it discusses the Jeans equations, which are the equations obtained by taking various averages over velocities.

scholarly journals Exploring the Partonic Phase at Finite Chemical Potential in and out-of Equilibrium

Particles ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 178-192 ◽  
Author(s):  
O. Soloveva ◽  
P. Moreau ◽  
L. Oliva ◽  
V. Voronyuk ◽  
V. Kireyeu ◽  
...  
Keyword(s):  
Cross Sections ◽  
Chemical Potential ◽  
Transport Coefficients ◽  
Gluon Plasma ◽  
Entropy Density ◽  
Baryon Chemical Potential ◽  
Equilibrium Study ◽  
200 Gev ◽  
Quasiparticle Model ◽  
Scattering Cross Sections

We study the influence of the baryon chemical potential μ B on the properties of the Quark–Gluon–Plasma (QGP) in and out-of equilibrium. The description of the QGP in equilibrium is based on the effective propagators and couplings from the Dynamical QuasiParticle Model (DQPM) that is matched to reproduce the equation-of-state of the partonic system above the deconfinement temperature T c from lattice Quantum Chromodynamics (QCD). We study the transport coefficients such as the ratio of shear viscosity η and bulk viscosity ζ over entropy density s, i.e., η / s and ζ / s in the ( T , μ ) plane and compare to other model results available at μ B = 0 . The out-of equilibrium study of the QGP is performed within the Parton–Hadron–String Dynamics (PHSD) transport approach extended in the partonic sector by explicitly calculating the total and differential partonic scattering cross sections based on the DQPM and the evaluated at actual temperature T and baryon chemical potential μ B in each individual space-time cell where partonic scattering takes place. The traces of their μ B dependences are investigated in different observables for symmetric Au + Au and asymmetric Cu + Au collisions such as rapidity and m T -distributions and directed and elliptic flow coefficients v 1 , v 2 in the energy range 7.7 GeV ≤ s N N ≤ 200 GeV.

scholarly journals Relating the Lyapunov exponents to transport coefficients in kinetic theory

2019 ◽  
Vol 982 ◽  
pp. 227-230
Author(s):  
M. Martinez ◽  
A. Behtash ◽  
C.N. Cruz-Camacho ◽  
S. Kamata
Keyword(s):  
Kinetic Theory ◽  
Lyapunov Exponents ◽  
Transport Coefficients

Atomic transport via point defects in crystals V. Equivalence of kinetic and linear response theories

1987 ◽  
Vol 413 (1845) ◽  
pp. 429-441 ◽  
Keyword(s):  
Kinetic Theory ◽  
Point Defects ◽  
Linear Response ◽  
Transport Coefficients ◽  
Linear Response Theory ◽  
Time Dependent ◽  
Defects In Crystals ◽  
Response Functions ◽  
Atomic Transport ◽  
Solute Atoms

Earlier papers in this series have presented a general formulation of the kinetic theory of isothermal atomic transport via point defects. This has been used to derive expressions for the macroscopic transport coefficients and to analyse the response to time-dependent fields in terms of parameters characterizing the defects and their interaction with solute atoms, etc. In this paper it is shown that these transport coefficients and response functions are invariant with respect to a class of transformations of the quantities representing the defect displacements in all the transitions considered. In this way the exact equivalence of these results of kinetic theory to corresponding results of the linear response theory of Allnatt and Okamura is demonstrated.

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