My paper on shear viscosity and hydrodynamics construction of theory without translational symmetry

Arxiv preprint :
DOI: 10.1103/PhysRevD.94.106001

with Piyabut Burikham

Abstract :

We study the shear viscosity in an effective hydrodynamic theory and holographic model where the translational symmetry is broken by massless scalar fields. We identify the shear viscosity, η, from the coefficient of the shear tensor in the modified constitutive relation, constructed from thermodynamic quantities, fluid velocity, and the scalar fields, which break the translational symmetry explicitly. Our construction of constitutive relation is inspired by those derived from the fluid/gravity correspondence in the weakly disordered limit m/T≪1. We show that the shear viscosity from the constitutive relation deviates from the one obtained from the usual expression, η⋆=-limω→0(1/ω)ImGTxyTxyR(ω,k=0), even at the leading order in disorder strength. In a simple holographic model with broken translational symmetry, we show that both η/s and η⋆/s violate the bound of the viscosity-entropy ratio for arbitrary disorder strength.


Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s


The companion website to Classical and Quantum Gravity

Louk Rademaker's Physics site

Theoretical Condensed Matter Physics / Quantum Matter

quantum update

อัพเดท สาระน่ารู้ เทคโนโลยีควอนตัม และ ควอนตัมคอมพิวเตอร์

Shores of the Dirac Sea

A blog about physics... mostly.

The polymath blog

Massively collaborative mathematical projects

Quantum Frontiers

A blog by the Institute for Quantum Information and Matter @ Caltech

High Energy PhDs

A discussion of particle physics and strings


"Ever tried, ever failed, no matter. Try again, fail again, fail better." - Samuel Beckett

in theory

"Marge, I agree with you - in theory. In theory, communism works. In theory." -- Homer Simpson

Gowers's Weblog

Mathematics related discussions

What's new

Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao


Fay Dowker's website

Of Particular Significance

Conversations About Science with Theoretical Physicist Matt Strassler


ปีนจากกะลา สู่โลกกว้างที่ ท้าทาย

Quendi in the UK

Love is All Around


Chinese History and Culture, Travel.

%d bloggers like this: