Non-Relativistic Hydrodynamics

September 2018

Fluid dynamics or hydrodynamics is a very old subject. Depending on how you define the term, it can be traced back centuries to the time of Newton, Euler, and Bernoulli or even millennia to the time of Archimedes. The original

Fluid dynamics provides an effective tool to understand slowly varying macroscopic near equilibrium systems. Liquids and gases are generally well described by the fluid approximation. In high energy physics relativistic and non-relativistic fluids have gained ample attention due to their applications in systems like quark-gluon plasma and cold-atoms. Fluids being near equilibrium, are treated in perturbative expansion of the derivatives of fluid parameters like velocities and temperature. A fluid at zero derivative order is termed as ideal fluid, while corrections due to derivatives are called dissipation (like viscosities and conductivities).

I study the properties of relativistic charged fluids high derivative orders, and constraint on various transport coefficients (like viscosities and conductivities) due to physical requirements. I also had been working on reduction of relativistic charged fluids to non-relativistic via a mathematical teqnique called Light Cone Reduction.

Literature Contributions

Effective field theory for non-relativistic hydrodynamics
AJAug 2020
On the surface of superfluids
First Order Galilean Superfluid Dynamics
Banerjee, Dutta, AJDec 2016
Galilean Anomalies and Their Effect on Hydrodynamics
AJSep 2015
Null Fluids - A New Viewpoint of Galilean Fluids
Banerjee, Dutta, AJSep 2015
Equilibrium partition function for nonrelativistic fluids
Banerjee, Dutta, AJMay 2015
Entropy current for non-relativistic fluid

Collaborators

Jay Armas

University of Amsterdam

Jyotirmoy Bhattacharya

IIT Kharagpur

Nilay Kundu

IIT Kanpur

Nabamita Banerjee

IISER Bhopal

Suvankar Dutta

IISER Bhopal

Dibakar Roychowdhury

IIT Roorkee