Stochastic thermodynamics as reviewed here systematically provides a framework for
extending the notions of classical thermodynamics such as work, heat and entropy …

We review the concept of dynamical ensembles in nonequilibrium statistical mechanics as
specified from an action functional or Lagrangian on spacetime. There, under local detailed …

The unique fluctuation–dissipation theorem for equilibrium stands in contrast with the wide
variety of nonequilibrium linear response formulae. Their most traditional approach is' …

We collect recent results on deriving useful response relations also for non-equilibrium
systems. The approach is based on dynamical ensembles, determined by an action on …

We investigate the statistics of the fluctuations of the energy transfer between an
overdamped Brownian particle, whose motion is confined by a stationary harmonic potential …

We identify the conditions under which a stochastic driving that induces energy changes into
a system coupled with a thermal bath can be treated as a work source. When these …

Abstract Systems that evolve towards a state from which they cannot depart are common in
nature. But the fluctuation-dissipation theorem (FDT), a fundamental result in statistical …

The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for
classical and quantum systems. It establishes a relationship between the linear response of …

We derive various exact results for Markovian systems that spontaneously relax to a non-
equilibrium steady state by using joint probability distribution symmetries of different entropy …

The thermal response of nonequilibrium systems requires the knowledge of concepts that go
beyond entropy production. This is showed for systems obeying overdamped Langevin …