[STAT/AP] Faezeh Khodabandehlou: Quasipotential and the mutual linearity between currents

07 October 2024 15:45 till 16:45 - Location: EEMCS Lecture Hall F | Add to my calendar

Perturbing transition rates in a steady nonequilibrium system, e.g. modelled by a Markov jump process, causes changes in the local currents.  The susceptibility is usually expressed via Green-Kubo relations or their nonequilibrium extensions.  However, we may also wish to directly express the influence of one current on another current.    We give a new and elementary derivation expressing the current susceptibility in terms of differences in mean first-passage times and quasipotential. In which, quasipotential is the solution of the Poisson equation  LV + f=0  where  L  is the backward generator of an irreducible (finite) Markov jump process and   f   is a given centered state function.