Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation

被引：74

作者：

Rocha, Gabriel S. ^{[1
]}

Denicol, Gabriel S. ^{[1
]}

Noronha, Jorge ^{[2
]}

机构：

[1] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ, Brazil

[2] Univ Illinois, Dept Phys, Illinois Ctr Adv Studies Universe, Urbana, IL 61801 USA

来源：

PHYSICAL REVIEW LETTERS | 2021年 / 127卷 / 04期

关键词：

THERMODYNAMICS;

D O I：

10.1103/PhysRevLett.127.042301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the widely used relaxation time approximation to the relativistic Boltzmann equation contains basic flaws, being incompatible with micro- and macroscopic conservation laws if the relaxation time depends on energy or general matching conditions are applied. We propose a new approximation that fixes such fundamental issues and maintains the basic properties of the linearized Boltzmann collision operator. We show how this correction affects transport coefficients, such as the bulk viscosity and particle diffusion.

引用

页数：6

共 52 条

[1] Anisotropic hydrodynamics with a scalar collisional kernel [J].

Almaalol, Dekrayat ;

Strickland, Michael .

PHYSICAL REVIEW C, 2018, 97 (04)

[2] RELATIVISTIC RELAXATION-TIME MODEL FOR BOLTZMANN-EQUATION [J].

ANDERSON, JL ;

WITTING, HR .

PHYSICA, 1974, 74 (03) :466-488

[3]

[Anonymous], 1986, Hydrodynamics

[4] Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaitre-Robertson-Walker spacetime [J].

Bazow, D. ;

Denicol, G. S. ;

Heinz, U. ;

Martinez, M. ;

Noronha, J. .

PHYSICAL REVIEW D, 2016, 94 (12)

[5] Analytic Solution of the Boltzmann Equation in an Expanding System [J].

Bazow, D. ;

Denicol, G. S. ;

Heinz, U. ;

Martinez, M. ;

Noronha, J. .

PHYSICAL REVIEW LETTERS, 2016, 116 (02)

[6] Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma [J].

Behtash, Alireza ;

Cruz-Camacho, C. N. ;

Kamata, Syo ;

Martinez, M. .

PHYSICS LETTERS B, 2019, 797

[7] Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow [J].

Behtash, Alireza ;

Kamata, Syo ;

Martinez, Mauricio ;

Shi, Haosheng .

PHYSICAL REVIEW D, 2019, 99 (11)

[8] Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow [J].

Behtash, Alireza ;

Cruz-Camacho, C. N. ;

Martinez, M. .

PHYSICAL REVIEW D, 2018, 97 (04)

[9] Nonlinear causality of general first-order relativistic viscous hydrodynamics [J].

Bemfica, Fabio S. ;

Disconzi, Marcelo M. ;

Noronha, Jorge .

PHYSICAL REVIEW D, 2019, 100 (10)

[10] Causality and existence of solutions of relativistic viscous fluid dynamics with gravity [J].

Bemfica, Fabio S. ;

Disconzi, Marcelo M. ;

Noronha, Jorge .

PHYSICAL REVIEW D, 2018, 98 (10)

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