ICTS

Research Interests

• Non-equilibrium statistical physics
• Chaos, multifractals, and intermittency in turbulence
• Analysis and reduced-order models of the Navier–Stokes equations
• Hydrodynamics of active lattice gases
• Hydrodynamics of quantum systems
• Nonlinear and stochastic partial differential equations

Publications / Preprints

1. Turbulent flows are not uniformly multifractal
   S. Mukherjee, S. D. Murugan, R. Mukherjee, and S. S. Ray
   Physical Review Letters 132, 184002 (2024)
2. Hydrodynamics of a hard-core active lattice gas
   R. Mukherjee, S. Saha, T. Sadhu, A. Dhar, and S. Sabhapandit
   Physical Review E 111, 024128 (2025)
3. Many-body chaos in fully developed turbulence
   A. Banerjee^*, R. Mukherjee^*, S. Bhattacharjee, and S. S. Ray
   arXiv:2505.09538 (2025)
   ^*Joint first authors
4. Understanding extreme dynamics and relaxation in quantum gases: a hydrodynamic approach
   R. Mukherjee, M. Kulkarni, A. Dhar, and S. S. Ray
   arXiv:2509.00399 (2025)
5. Geometric Intermittency in turbulence
   R. Mukherjee, S. Mukherjee, I. V. Kolokolov, V. V. Lebedev, T. Matsumoto, and S. S. Ray
   arXiv:2505.09538 (2025)
6. Estimates for the 2D Navier-Stokes equations: the effects of forcing
   R. Mukherjee, J. D. Gibbon, and D. Vincenzi
   arXiv:2512.15188 (2025)