The first comprehensive graduate-level introduction to stochastic thermodynamics
Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to …

Thermodynamics serves as a universal means for studying physical systems from an energy
perspective. In recent years, with the establishment of the field of stochastic and quantum …

We collect recent results on deriving useful response relations also for non-equilibrium
systems. The approach is based on dynamical ensembles, determined by an action on …

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 …

Thermodynamic uncertainty relations (TURs) are the inequalities which give lower bounds
on the entropy production rate using only the mean and the variance of fluctuating currents …

We investigate the connection between the time evolution of averages of stochastic
quantities and the Fisher information and its induced statistical length. As a consequence of …

The total entropy production quantifies the extent of irreversibility in thermodynamic systems,
which is nonnegative for any feasible dynamics. When additional information such as the …

We use quantum estimation theory to derive a thermodynamic uncertainty relation in
Markovian open quantum systems, which bounds the fluctuation of continuous …

We consider Markov jump processes on a graph described by a rate matrix that depends on
various control parameters. We derive explicit expressions for the static responses of edge …

The precision of currents in Markov networks is bounded by dissipation via the so-called
thermodynamic uncertainty relation (TUR). In our Letter, we demonstrate a similar inequality …