Indian Institute of Technology Kharagpur |

Broad themes: Statistical physics, Theoretical condensed matter physics, Classical and quantum fluids, Turbulence and related multi-scale non-equilibrium phenomena in diverse systems.

Our focus is on identifying the common themes that occur in a wide variety of turbulent systems, ranging from flows on astrophysical to quantum scales. In particular, our major emphasis is on the study of various dynamical and statistical properties of turbulence and other non-equilibrium states at zero- and finite-temperatures in different quantum fluids, e.g., weakly interacting Bose-Einstein condensates both neutral and charged, superfluid 4He, analogous nonlinear optical systems, etc. The ideas developed and tested for these systems are useful for other quantum fluids as well, at least in bits and pieces, viz. polariton condensates inside semiconductor microcavities, 3He, unitary Fermi gas, neutron stars, etc.

On the more classical side, we are interested in the phenomena of irreversibility; singularities in viscous and inviscid three-dimensional turbulent flows; all within the scope of incompressible Navier-Stokes equations. We are also interested in the dynamics of large scales and bifurcation of the mean flow on a strongly turbulent background, which has applications in geophysical flows. We also work on transport of (phoretic) particles in turbulent flows.

More recently, we have also started to explore the physics of active matter systems in a fluid environment.

We make good use of numerical simulations, including high-performance-computing, in our endeavour to understand the above physics.

In summary, we are driven by a grand vision of evolving a coherent story of turbulence described by the two most widely studied partial differential equations: the Navier-Stokes equation and the non-linear Schrödinger equation (and their variants).

For more information on our research activities please visit our lab website. https://vishwanathshukla.in/

All Publications

Inertial particles in superfluid turbulence: Coflow and counterflow Shukla S., Verma A.K., Shukla V., Bhatnagar A., Pandit R. By Physics of Fluids 35 - (2023)
Machine learning of Ising criticality with spin-shuffling Basu P., Bhattacharya J. , Jakka D. , Mosomane C. , Shukla V. By Under review - (2022)
Nonequilibrium Bose-Einstein condensation Shukla V., Nazarenko S. By Physical Review A 105 - (2022)
Equivalence of nonequilibrium ensembles: Two-dimensional turbulence with a dual cascade Seshasayanan K., Eswaran K. S., Maji M. , Ghosh S. , Shukla V. By arXiv preprint - (2021)
Magnus-force model for active particles trapped on superfluid vortices Griffin A., Shukla V., Brachet M.-E., Nazarenko S. By Physical Review A 101 - (2020)
Phase transition in time-reversible Navier-Stokes equations Shukla V., Dubrulle B., Nazarenko S., Krstulovic G., Thalabard S. By Physical Review E 100 - (2019)
The Statistical Properties of Superfluid Turbulence in He from the Hall-Vinen-Bekharevich-Khalatnikov Model Verma A. K., Shukla V. , Basu A. , Pandit R. By arXiv preprint arXiv:1905.01507 - (2019)

Completed Projects

Principal Investigator

Deciphering the Small-scale Structure of Turbulent Flows
Meeting on Statistical Physics and Complex Systems (MeetStatPhysIndia) and A short summer school on Nonlinear Statistical Physics
Statistical Characterization of the Time-Reversible Navier-Stokes Equation

Alumni members