Physics of Complex Fluids, Statistical Physics of Phase Transitions, Domain Growth and Interface Dynamics. Instabilities, Nonlinearities, Pattern Selection and Spatio-Temporal Chaos. Numerical Simulations.
Research problems of our current interest include the following: the role of fluctuations in polymer phase diagrams; kinetics of phase ordering and phase separation including spinodal decomposition and nucleation; pattern formation and selection in nonequilibrium phase transitions; instabilities in dynamical systems leading to chaos, and control of chaos.
Many of the projects also have biophysical implications. Thermodynamic instabilities and metastabilities often play crucial role. Sometimes thermal noise becomes important and often long range competing interactions bring in new characteristic length scales making qualitative changes in kinetics. Invariably, dynamics of and at interfaces in these systems are also of fundamental importance in understanding physics of complex fluids. For recent completed projects, see the list of Selected Publications. Some of the future projects are: spinodal decomposition in Polymer Dispersed Liquid Crystals (PDLC), surface tension induced Marangoni instability, elasticity of rod-reinforced-matrix composites and elastic effects in soft stressed solids (like gels, microemulsions), nonequilibrium physics of fracture.
Spinodal decomposition for an off-critical quench. The domain boundary evolution, shown at various times, displays a crossover from an interconnected morphology to one with separated droplets.