Abstract

I will discuss collective behaviour of N particles repelling each other via pairwise interaction potential and confined by an external trap. I will discuss the large-N field theory for all-to-all coupling [1] and the finite ranged case [2]. These family of models contain in them various well known systems of interest both in physics and mathematics such as one component plasma, Dyson’s log-gas, integrable Calogero-Moser model to name a few. I will also present results in the presence of a barrier [3]. I will discuss gap statistics (analogous to the well known level spacing statistics) in these family of models [4] and some aspects of spatiotemporal spread of perturbations [5].[1] S. Agarwal, A. Dhar, M. Kulkarni, A. Kundu, S. N. Majumdar, D. Mukamel, G. Schehr, Phys. Rev. Lett. 123, 100603 (2019)[2] A. Kumar, M. Kulkarni, A. Kundu, Phys. Rev. E 102 , 032128 (2020)[3] J. Kethepalli, M. Kulkarni, A. Kundu, S. N. Majumdar, D. Mukamel, G. Schehr, J. Stat. Mech, 2021, 103209 (2021)[4] S. Santra, J. Kethepalli, S. Agarwal, A. Dhar, M. Kulkarni, A. Kundu, Phys. Rev. Lett. 128, 170603 (2022)[5] B. Kiran, D. A. Huse, M. Kulkarni, Phys. Rev. E 104 , 044117 (2021)