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

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 …

We consider a continuous time Markov chain on a countable state space. We prove a joint
large deviation principle (LDP) of the empirical measure and current in the limit of large time …

This paper is devoted to multivariate fluctuation relations for all the currents flowing across
an open system in contact with several reservoirs at different temperatures and chemical …

The so-called fluctuation theorems pushed the study of systems far beyond equilibrium,
whose response to thermodynamic forces (affinities) is characterized by the reciprocal and …

Finite stochastic Markov models play a major role in modeling biological systems. Such
models are a coarse-grained description of the underlying microscopic dynamics and can …

Stochastic thermodynamics uses Markovian jump processes to model random transitions
between observable mesoscopic states. Physical currents are obtained from antisymmetric …

Nonequilibrium steady states of Markov processes give rise to nontrivial cyclic probability
fluxes. Cycle decompositions of the steady state offer an effective description of such fluxes …

We prove a transient fluctuation theorem for the currents for continuous-time Markov jump
processes with stationary rates, generalizing an asymptotic result by Andrieux and Gaspard …

We provide a detailed investigation of the fluctuations of the currents in the discrete model of
Feynman's ratchet proposed by Jarzynski and Mazonka in 1999. Two macroscopic currents …