Ergodic dynamics of Classical Many-body systems
by Dr. Mithun Thudiyangal (Researcher, Center for Theoretical Physics of Complex Systems, Institute for Basic Science, South Korea)
Thursday, July 4, 2019 from to (Asia/Kolkata)
The influence that deviations from equilibrium have on the ergodic equipartitioned dynamics of classical and quantum systems has been widely investigated in the recent years. Classically, systems of many interacting bodies are typically chaotic, and their microcanonical dynamics ensures that time averages and phase space averages are identical, in agreement with the assumption of ergodicity. In proximity to an integrable limit the properties of the network of nonintegrable action space perturbations help decide whether i) ergodization time scales stay on the order of the Lyapunov times, or whether ii) the system fragments into regular regions - formed by coherent localized excitations with anomalously large lifetimes - and chaotic parts. In this talk, I will discuss the ergodic dynamics of classical many-body systems in the integrable limit.