Origin of the relaxation time in dissipative fluid dynamics

被引：119

作者：

Denicol, Gabriel S. ^{[1
]}

Noronha, Jorge ^{[2
,3
]}

Niemi, Harri ^{[4
]}

Rischke, Dirk H. ^{[1
,4
]}

机构：

[1] Goethe Univ Frankfurt, Inst Theoret Phys, D-60438 Frankfurt, Germany

[2] Columbia Univ, Dept Phys, New York, NY 10027 USA

[3] Univ Fed Rio de Janeiro, Inst Fis, BR-21945970 Rio De Janeiro, Brazil

[4] FIAS, D-60438 Frankfurt, Germany

来源：

PHYSICAL REVIEW D | 2011年 / 83卷 / 07期

关键词：

TRANSIENT RELATIVISTIC THERMODYNAMICS;

D O I：

10.1103/PhysRevD.83.074019

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show how the linearized equations of motion of any dissipative current are determined by the analytical structure of the associated retarded Green's function. If the singularity of Green's function, which is nearest to the origin in the complex-frequency plane, is a simple pole on the imaginary frequency axis, the linearized equations of motion can be reduced to relaxation type equations for the dissipative currents. The value of the relaxation time is given by the inverse of this pole. We prove that, if the relaxation time is sent to zero, or equivalently, the pole to infinity, the dissipative currents approach the values given by the standard gradient expansion.

引用

页数：13

共 31 条

[1] Relativistic viscous hydrodynamics, conformal invariance, and holography [J].