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 …

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 question of how reversible microscopic equations of motion can lead to irreversible
macroscopic behaviour has been one of the central issues in statistical mechanics for more …

These lecture notes give a short review of methods such as the matrix ansatz, the additivity
principle or the macroscopic fluctuation theory, developed recently in the theory of non …

The Jarzynski equality is generalized to situations in which nonequilibrium systems are
subject to a feedback control. The new terms that arise as a consequence of the feedback …

We derive an Itô stochastic differential equation for entropy production in nonequilibrium
Langevin processes. Introducing a random-time transformation, entropy production obeys a …

We establish a general theory of feedback control on classical stochastic thermodynamic
systems and generalize nonequilibrium equalities such as the fluctuation theorem and the …

The title of this book already says something about its contents and historical origin, but
since it is meant in a rigorous mathematical context, a few words of explanation may be …

There is a relation between the irreversibility of thermodynamic processes as expressed by
the breaking of time-reversal symmetry, and the entropy production in such processes. We …

We review the physical meaning and mathematical implementation of the condition of local
detailed balance for a class of nonequilibrium mesoscopic processes. A central concept is …