I work on a wide variety of problems in statistical mechanics, phase transitions, turbulence, and condensed-matter theory, nonlinear dynamics, including the following:
- Turbulence: statistical properties of fluid, passive-scalar, passive-vector, magnetohydrodynamic, and Burgers turbulence; fluid turbulence with polymers; superfluid turbulence; turbulence in binary-fluid mixtures; turbulence in particle-laden flows; machine-learning methods in turbulence.
- In silico studies of few-variable and biologically realistic mathematical models for cardiac tissue, with, inter alia, cardiac myocytes and fibroblasts, in idealised and anatomically realistic domains, to understand, and then control, cardiac arrhythmias like ventricular tachycardia and ventricular fibrillation; artificial-intelligence methods for the detection and control of waves of electrical activation in these models.
- Spatiotemporal chaos in extended, deterministic dynamical systems: Kuramoto-Sivashinsky, Complex Ginzburg-Landau, and FitzHugh-Nagumo equations.
- Superfluid, Mott-insulator, and other phases in systems of interacting bosons on a lattice.
- Nonlinear dynamics and its applications in condensed-matter physics.
- The statistical mechanics of quantum antiferromagnets, models for the colossal magnetoresistive manganites, other correlated electron models (e.g., the Hubbard and extended-Hubbard models).
- Complex Fluids: Microemulsion, micellar, lamellar, and sponge phases in oil-water-surfactant mixtures and bilayer systems, and semiflexible, living and equilibrium polymers.
- Kinetics of first-order phase transitions, including hysteresis and domain growth.
- Nonequilibrium statistically steady states in driven, many-body systems.
- The statistical mechanics of systems with surfaces, interfaces, and membranes including wetting and roughening.
Selected Publications
[6] T.K. Shajahan, A.R. Nayak, and R. Pandit, Spiral-Wave Turbulence and its Control in the Presence of Inhomogeneities in Four Mathematical Models of Cardiac Tissue, PLoS ONE 4(3), e4738 (2009).
[5] P. Perlekar, S. S. Ray, D. Mitra, and R. Pandit, The Persistence Problem in Two-Dimensional Fluid Turbulence, Phys. Rev. Lett. 106, 054501 (2011).
[4] K. Sheshadri, H.R. Krishnamurthy, R. Pandit, and T.V. Ramakrishnan, Superfluid and insulating phases in an interacting boson model: Mean-field theory and the RPA, Europhys. Lett. 22, 257 (1993).
[3] M. Rao, H.R. Krishnamurthy, and R. Pandit, Magnetic hysteresis in two model spin systems, Phys. Rev. B 42, 856 (1990).
[2] S. Ostlund, R. Pandit, D. Rand, H.J. Schellnhuber, and E.D. Siggia, One-dimensional Schrödinger equation with an almost periodic potential, Phys. Rev. Lett. 50, 1873 (1983).
[1] R. Pandit, M. Schick, and M. Wortis, Systematics of multilayer adsorption phenomena on attractive substrates, Phys. Rev. B 26, 5112 (1982).
Latest Preprints