In equilibrium thermodynamics, there exists a well-established connection between
dynamical fluctuations of a physical system and the dissipation of its energy into an …

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

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

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 …

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 …

The thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative
fluctuation of observables and thermodynamic quantities such as dissipation and dynamical …

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

We generalize the thermodynamic uncertainty relation, providing an entropic upper bound
for average fluxes in time-continuous steady-state systems (G ingrich TR et al., Phys. Rev …

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 …

Full article: Martingales for physicists: a treatise on stochastic thermodynamics and beyond
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