Broad themes: Statistical physics, Theoretical condensed matter physics, Classical and quantum fluids, Turbulence and related multi-scale non-equilibrium phenomena in diverse systems, and High performance computing.
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 occasionaly also work on transport of (phoretic) particles in turbulent flows. Other miscellaneus budding interests include active matter physics.
For more information on our research activities please visit our lab website.
Magnus-force model for active particles trapped on superfluid vortices by Griffin A., Shukla V. , Brachet M. , Nazarenko S. Physical Review A 101 - (2020)
The Statistical Properties of Superfluid Turbulence in He from the Hall-Vinen-Bekharevich-Khalatnikov Model by Verma A. K., Shukla V. , Basu A. , Pandit R. arXiv preprint arXiv:1905.01507 - (2019)
Phase transition in time-reversible Navier-Stokes equations by Shukla V., Dubrulle B. , Nazarenko S. , Krstulovic G. , Thalabard S. Physical Review E 100 043104- (2019)
Quantitative estimation of effective viscosity in quantum turbulence by Shukla V., Mininni P. D., Krstulovic G. , Di Leoni P. C., Brachet M. E. Physical Review A 99 043605- (2019)
About Universality and Thermodynamics of Turbulence by Geneste D., Faller H. , Nguyen F. , Shukla V. , Laval J. P., Daviaud F. , Saw E. W., Dubrulle B. Entropy 21 326- (2019)
Dissipation, intermittency, and singularities in incompressible turbulent flows by Debue P., Shukla V. , Kuzzay D. , Saw E. W., Daviaud F. , Dubrulle B. Physical Review E 97 053101- (2018)
Particles and fields in superfluids: Insights from the two-dimensional Gross-Pitaevskii equation by Shukla V., Pandit R. , Brachet M. Physical Review A 97 013627- (2018)
Area of Research: Statistical physics and turbulence