Session 1B: Inaugural Lectures by Fellows/Associates

Family Of Long-ranged Models: Collective Behaviour And Dynamics

Speaker will discuss fascinating aspects of a family of classical long-ranged models in terms of their collective behaviour and dynamics. The model consists of particles interacting with each other with power-law repulsive interaction for arbitrary powers inside a harmonic confinement. These family of models contain in them some special points such as one component plasma, the Dyson’s log-gas, and the integrable Calogero–Moser model that have themselves been subject to intense studies in physics and mathematics. He will present a collective description (field theory) of this family of many particle systems, and also present certain aspects of dynamics such as spacio-temporal spread of perturbations. These findings are expected to play an important role in our understanding of interacting many body physics. In addition to being a significant step forward in the area of exact solutions of many body systems, the results obtained are also, in principle, measurable in experiments for a wide class of power-law models, given recent cutting-edge technologies.