Analytic solutions of the relativistic Boltzmann equation

被引：14

作者：

Hatta, Yoshitaka ^{[1
]}

Martinez, Mauricio ^{[2
]}

Xiao, Bo-Wen ^{[3
,4
]}

机构：

[1] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[2] Ohio State Univ, Dept Phys, Columbus, OH 43210 USA

[3] Cent China Normal Univ, Key Lab Quark & Lepton Phys, MOE, Wuhan 430079, Peoples R China

[4] Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China

来源：

PHYSICAL REVIEW D | 2015年 / 91卷 / 08期

基金：

巴西圣保罗研究基金会;

关键词：

HEAVY-ION COLLISIONS; QUARK-GLUON PLASMA; EXPANDING SYSTEMS; EQUILIBRATION; THERMALIZATION; HYDRODYNAMICS; ADS/CFT;

D O I：

10.1103/PhysRevD.91.085024

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present new analytic solutions to the relativistic Boltzmann equation within the relaxation time approximation. We first obtain spherically expanding solutions which are the kinetic counterparts of the exact solutions of the Israel-Stewart equation in the literature. This allows us to compare the solutions of the kinetic and hydrodynamic equations at an analytical level. We then derive a novel boost-invariant solution of the Boltzmann equation which has an unconventional dependence on the proper time. The existence of such a solution is also suggested in second-order hydrodynamics and fluid-gravity correspondence.

引用

页数：9

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