Living systems operate far from thermodynamic equilibrium. Enzymatic activity can induce
broken detailed balance at the molecular scale. This molecular scale breaking of detailed …

For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in
particular, entropy production can be identified on the level of fluctuating dynamical …

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 consider a Brownian particle which, in addition to being in contact with a thermal bath, is
driven by fluctuating forces which stem from active processes in the system, such as self …

Interpreting partial information collected from systems subject to noise is a key problem
across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables …

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

Full article: Martingales for physicists: a treatise on stochastic thermodynamics and beyond
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We show that the entropy production rate bounds the rate at which physical processes can
be performed in stochastic systems far from equilibrium. In particular, we prove the …

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 …