scholarly journals The non-equilibrium attractor for kinetic theory in relaxation time approximation

2018 ◽  
Vol 2018 (12) ◽  
Author(s):  
M. Strickland
Keyword(s):  
Relaxation Time ◽  
Kinetic Theory ◽  
Time Approximation ◽  
Relaxation Time Approximation ◽  
Non Equilibrium

scholarly journals Kinetic equations and anisotropic hydrodynamics for quark and gluon fluids

2018 ◽  
Vol 182 ◽  
pp. 02079
Author(s):  
Ewa Maksymiuk
Keyword(s):  
Relaxation Time ◽  
Kinetic Theory ◽  
Quark Mass ◽  
Kinetic Equations ◽  
Baryon Number ◽  
Number Density ◽  
Time Approximation ◽  
One Dimensional ◽  
Relaxation Time Approximation ◽  
Good Agreement

The mixture of quark and gluon fluids is studied in a one-dimensional boostinvariant setup using the set of relativistic kinetic equations treated in the relaxation time approximation. Effects of a finite quark mass, non-zero baryon number density, and quantum statistics are discussed. Comparisons between the exact kinetic-theory results and anisotropic hydrodynamics predictions are performed and a very good agreement between the two are found.

scholarly journals About one decision of the quasiclassical kinetic equation

2018 ◽  
Vol 7 (2.23) ◽  
pp. 270
Author(s):  
Gladkov S O ◽  
Bogdanova S B
Keyword(s):  
Distribution Function ◽  
Perturbation Theory ◽  
Relaxation Time ◽  
Kinetic Equation ◽  
General Solution ◽  
Time Approximation ◽  
Relaxation Time Approximation ◽  
Fermi Statistics ◽  
Non Equilibrium

It has been proved that the solution of the quasi-classical kinetic equation for Bose and Fermi statistics can be represented in the general form, using the relaxation time approximation. The general solution found for the distribution function  helps calculate any non – equilibrium characteristics of metals, magnets, and dielectrics in any order of the perturbation theory according to the relaxation time .  

scholarly journals Bulk viscosity of strongly interacting matter in the relaxation time approximation

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Alina Czajka ◽  
Sigtryggur Hauksson ◽  
Chun Shen ◽  
Sangyong Jeon ◽  
Charles Gale
Keyword(s):  
Relaxation Time ◽  
Bulk Viscosity ◽  
Time Approximation ◽  
Relaxation Time Approximation ◽  
Strongly Interacting

scholarly journals Calculations of the thermal conductivity of Si1-xGex films with nonuniform composition

2018 ◽  
Vol 19 (1) ◽  
pp. 48-52
Author(s):  
V. V. Kuryliuk ◽  
O. M. Krit
Keyword(s):  
Thermal Conductivity ◽  
Relaxation Time ◽  
Boltzmann Equation ◽  
Temperature Interval ◽  
Thermoelectric Properties ◽  
Bulk Material ◽  
Nonuniform Distribution ◽  
Time Approximation ◽  
Relaxation Time Approximation ◽  
Available Information

SiGe films have attracted much attention recently due to experimental demonstrations of improved thermoelectric properties over those of the corresponding bulk material. However, despite this increasing attention, available information on the thermoelectric properties of Si1-xGex films is quite limited, especially for nonuniform composition in wide temperature interval. In this paper we have used the Boltzmann equation under the relaxation-time approximation to calculate the thermal conductivity of Si1-xGex films with nonuniform composition. It is confirmed that SiGe films with nonuniform composition has significantly lower thermal conductivity than its uniform counterpart. This suggests that an improvement in thermoelectric properties is possible by using the SiGe films with nonuniform distribution of germanium.

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