Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics

被引：116

作者：

Kovtun, Pavel ^{[1
]}

Moore, Guy D. ^{[2
]}

Romatschke, Paul ^{[3
]}

机构：

[1] Univ Victoria, Dept Phys & Astron, Victoria, BC V8P 5C2, Canada

[2] McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada

[3] Frankfurt Inst Adv Studies, D-60438 Frankfurt, Germany

来源：

PHYSICAL REVIEW D | 2011年 / 84卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

QUARK-GLUON PLASMA; THERMODYNAMICS; PERSPECTIVE;

D O I：

10.1103/PhysRevD.84.025006

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Hydrodynamics predicts long-lived sound and shear waves. Thermal fluctuations in these waves can lead to the diffusion of momentum density, contributing to the shear viscosity and other transport coefficients. Within viscous hydrodynamics in 3 + 1 dimensions, this leads to a positive contribution to the shear viscosity, which is finite but inversely proportional to the microscopic shear viscosity. Therefore the effective infrared viscosity is bounded from below. The contribution to the second-order transport coefficient tau(pi) is divergent, which means that second-order relativistic viscous hydrodynamics is inconsistent below some frequency scale. We estimate the importance of each effect for the quark-gluon plasma, finding them to be minor if eta/s 0.16 but important if eta/s = 0.08.

引用

页数：9

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