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
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