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

Near equilibrium, small current fluctuations are described by a Gaussian distribution with a
linear-response variance regulated by the dissipation. Here, we demonstrate that dissipation …

We analyze dynamical large deviations of quantum trajectories in Markovian open quantum
systems in their full generality. We derive a quantum level-2.5 large deviation principle for …

The thermodynamic uncertainty relation offers a universal energetic constraint on the
relative magnitude of current fluctuations in nonequilibrium steady states. However, it has …

Complex physical dynamics can often be modeled as a Markov jump process between
mesoscopic configurations. When jumps between mesoscopic states are mediated by …

Recent large deviation results have provided general lower bounds for the fluctuations of
time-integrated currents in the steady state of stochastic systems. A corollary are so-called …

Current is a characteristic feature of nonequilibrium systems. In stochastic systems, these
currents exhibit fluctuations constrained by the rate of dissipation in accordance with the …

Small nonequilibrium systems in contact with a heat bath can be analyzed with the
framework of stochastic thermodynamics. In such systems, fluctuations, which are not …

The theory of large deviations is already the natural language for the statistical physics of
equilibrium and non-equilibrium. In the field of disordered systems, the analysis via large …

We consider a continuous time Markov chain on a countable state space and prove a joint
large deviation principle for the empirical measure and the empirical flow, which accounts …