BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Talks.cam//talks.cam.ac.uk// X-WR-CALNAME:Talks.cam BEGIN:VEVENT SUMMARY:Collective behaviour of a family of power law models - Manas Kulka rni (International Centre for Theoretical Sciences) DTSTART:20230801T100000Z DTEND:20230801T110000Z UID:TALK203605@talks.cam.ac.uk DESCRIPTION:I will discuss collective behaviour of N particles repelling e ach other via pairwise interaction potential and confined \;by an exte rnal 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 mathema tics 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 o f spatiotemporal spread of perturbations [5].[1] S. Agarwal\, A. Dhar\, M. Kulkarni\, A. Kundu\, S. N. Majumdar\, D. \;Mukamel\, G. Schehr\, Phy s. Rev. Lett. 123\, 100603 (2019)[2] A. Kumar\, M. Kulkarni\, A. Kundu\, P hys. Rev. E 102\, 032128 (2020)[3] J. Kethepalli\, M. Kulkarni\, A. Kundu\ , S. N. Majumdar\, D. Mukamel\, \;G. Schehr\, J. Stat. Mech\, 2021\, 1 03209 (2021)[4] S. Santra\, J. Kethepalli\, S. Agarwal\, A. Dhar\, M. Kulk arni\, A. \;Kundu\, Phys. Rev. Lett. 128\, 170603 (2022)[5] B. Kiran\, D. A. Huse\, M. Kulkarni\, Phys. Rev. E 104\, 044117 (2021) LOCATION:Seminar Room 2\, Newton Institute END:VEVENT END:VCALENDAR