Beecroft Building, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU
Dr Ryan Connor, University of Strathclyde
Abstract
Non-linear partial differential equations occur within many fields of physics and govern dynamics of fluids, plasmas and even ultra-cold atomic condensates, along with a whole host of others. For some of these applications numerically accessible grid spacing can become a limiting factor, especially in describing turbulent dynamics and high dimensional systems. In this talk I will present the application of tensor networks to these non-linear systems, where tensor networks can provide physically motivated data compression that makes simulations possible on large spatial grids which would be unfeasible with direct numerical simulations. We analyse various non-equilibrium cases with a focus on plasma dynamics described by both the Vlasov and Magnetohydrodynamics formalism, including the interaction with externally applied lasers. We find that these tensor network approaches are particularly efficient for such dynamics, and provides a path to simulate novel dynamics beyond that which state of the art direct simulations can currently achieve.