Abstract

I will first discuss the equilibrium properties of a gas of N interacting particles on aline. I will then introduce a simple model of N independent Brownian particles that aresubjected to simultaneous stochastic resetting with rate r. The simultaneous resettinggenerates an effective dynamical all-to-all attractions between particles that persist evenat long times in its nonequilibrium stationary state (NESS). Despite the presence of strongcorrelations, many physical observables such as the average density, extreme statistics,order and gap/spacing statistics, full counting statistics etc. can be computed exactly inthe NESS and they exhibit rich and interesting behaviors. The physical mechanism built inthis simple model allows it to generalise and invent a whole class of solvable stronglycorrelated gases, some of which are experimentally realisable in optical trap systems.