Stochastic Impedance (R-11564)

The main goal will be the development of a general theory on impedance in periodically driven non-equilibrium stochastic systems. The starting point is particle transport through general stochastic systems. The focus is to study its behaviour under the addition of interactions and increasing complexity of the system. Is it possible to obtain an analytical expression for the impedance for such systems? This question will be studied in the linear response regime, where a well-defined impedance must exist. Recently, a new framework for stochastic systems in the linear response was published, which is a promising tool for this investigation. Second, periodic driving of a thermodynamic system not only induces the transport of particles, but also of other thermodynamic quantities like energy, heat, work and entropy. Past research focused mainly on the time-averaged values of these quantities (averaging over one time period), not on the time dependence itself, which is needed in order to obtain the impedance of those quantities. We will do so now, calculating the impedance for these quantities and investigating the relation with the entropy production.

Keywords:linear response, periodically driven systems, STOCHASTIC PROCESSES, Stochastic thermodynamics

Disciplines:Statistical physics, Thermodynamics, Statistical mechanics, Computational physics