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

Stationary nonequilibrium states describe steady flows through macroscopic systems.
Although they represent the simplest generalization of equilibrium states, they exhibit a …

Transitions between nonequilibrium steady states obey a generalized Clausius inequality,
which becomes an equality in the quasistatic limit. For slow but finite transitions, we show …

We derive a geometrical expression of the excess entropy production for quasistatic
transitions between nonequilibrium steady states of Markovian jump processes, which can …

Entropy increase is fundamentally related to the breaking of time-reversal symmetry. By
adding the 'extra dimension'associated with thermodynamic forces, we extend that discrete …

There is a long-standing question of whether it is possible to extend the formalism of
equilibrium thermodynamics to the case of nonequilibrium systems in steady-states. We …

Nonequilibrium stationary states of thermodynamic systems dissipate a positive amount of
energy per unit of time. If we consider transformations of such states that are realized by …

Hamiltonian particle systems may exhibit nonlinear hydrodynamic phenomena as the time
evolution of the density fields of energy, momentum, and mass. In this Letter, an exact …

The cumulant generating function of time-averaged current is studied from an operational
viewpoint. Specifically, for interacting Brownian particles under nonequilibrium conditions …

There is a long-standing question as to whether and to what extent it is possible to describe
nonequilibrium systems in stationary states in terms of global thermodynamic functions. The …