Generalized Einstein or Green-Kubo Relations for Active Biomolecular Transport

For driven Markovian dynamics on a network of (biomolecular) states, the generalized mobilities, i.e., the response of any current to changes in an external parameter, are expressed by an integral over an appropriate current-current correlation function and thus related to the generalized diffusion constants. As only input, a local detailed balance condition is required which is typically even valid for biomolecular systems operating deep in the nonequilibrium regime.