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CM Seminar - Large?N field theory of confined particles with repulsive interaction
“Large?N field theory of confined particles with repulsive interaction”
International Centre for Theoretical Sciences, Bengaluru
Systems of interacting particles confined in external potentials are ubiquitous in nature. Particularly, pairwise repulsive interactions with power?law divergences have taken a special place in physics and mathematics. I will discuss a system of N classical particles interacting via pairwise repulsive interaction potential. They are also confined by an external potential which tries to pull them to its minimum. On the other hand the interaction and the entropy try to spread them apart. As a result they settle down over some region with an inhomogeneous density. By deriving a large?N macroscopic description [1,2] in terms of free energy functional (action) and then minimising it, it is possible to find various interesting distributions of the particles. I will show how the range of interaction  as well as the form of the external potential affect this density.
 S. Agarwal, A. Dhar, M. Kulkarni, A. Kundu, S. N. Majumdar, D. Mukamel, G. Schehr, Phys. Rev. Lett. 123, 100603 (2019), Editors' Suggestion
 A. Kumar, M. Kulkarni, A. Kundu, arXiv:1911.06675 (2019)