Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately
tied with the fundamental laws of thermodynamics, embodying a tool to extend …

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

The reason we never observe violations of the second law of thermodynamics is a matter of
statistics: When very many degrees of freedom are involved, the odds are overwhelmingly …

For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in
particular, entropy production can be identified on the level of fluctuating dynamical …

The theory of large deviations is concerned with the exponential decay of probabilities of
large fluctuations in random systems. These probabilities are important in many fields of …

Thermodynamic uncertainty relations yield a lower bound on entropy production in terms of
the mean and fluctuations of a current. We derive their general form for systems under …

We propose a formulation of stochastic thermodynamics for systems subjected to
nonequilibrium constraints (ie broken detailed balance at steady state) and furthermore …

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the
second law of thermodynamics for situations involving information processing. To this end …

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 …

A generalized fluctuation-response relation is found for thermal systems driven out of
equilibrium. Its derivation is independent of many details of the dynamics, which is only …