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 …

A concept of time-reversed entropy per unit time is introduced in analogy with the entropy
per unit time by Shannon, Kolmogorov, and Sinai. This time-reversed entropy per unit time …

The connection between the thermodynamic description of transport phenomena and a
microscopic description of the underlying chaotic motion has recently received new attention …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

We introduce a model for charge and heat transport based on the Landauer-Büttiker
scattering approach. The system consists of a chain of N quantum dots, each of them being …

We present a novel mechanism for thermalizing a system of particles in equilibrium and
nonequilibrium situations, based on specifically modeling energy transfer at the boundaries …

We derive a fluctuation theorem to describe entropy fluctuations in steady states of systems
with density gradients due to open boundaries. The fluctuations are related to the growth …

arxiv:1707.07564v1 [cond-mat.stat-mech] 24 Jul 2017 Page 1 arxiv:1707.07564v1 [cond-mat.stat-mech]
24 Jul 2017 From dynamical systems to statistical mechanics: the case of the fluctuation …

We apply the Nosé–Hoover thermostat and three variations of it, which control different
combinations of velocity moments, to the periodic Lorentz gas. Switching on an external …