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

We review recent progress in optimal control in stochastic thermodynamics. Theoretical
advances provide in-depth insight into minimum-dissipation control with either full or limited …

We discuss via general arguments and examples when and why the steady nonequilibrium
heat capacity vanishes with temperature. The framework is that of Markov jump processes …

We provide the theoretical basis of calorimetry for a class of active particles subject to
thermal noise. Simulating AC-calorimetry, we numerically evaluate the heat capacity of run …

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 consider fluctuations of the time-averaged current in the one-dimensional weakly
asymmetric exclusion process on a ring. The optimal density profile which sustains a given …

We generalize the Clausius (in) equality to overdamped mesoscopic and macroscopic
diffusions in the presence of nonconservative forces. In contrast to previous frameworks, we …

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 …

For open systems described by the quantum Markovian master equation, we study a
possible extension of the Clausius equality to quasistatic operations between …

Close to equilibrium, the excess heat governs the static fluctuations. We study the heat
capacity in that McLennan regime, ie in linear order around equilibrium, using an expression …