Physics

Prof. Manas Kulkarni
ICTS Bangalore

Abstract:
I will discuss fascinating aspects of a family of classical long-ranged models in terms of their collective behavior 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 investigation in physics and mathematics. I 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. The results obtained are also, in principle, measurable in experiments for a wide class of power-law models given recent cutting-edge technologies.

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