By its very nature, the second law of thermodynamics is probabilistic, in that its formulation
requires a probabilistic description of the state of a system. This raises questions about the …

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 principle of microscopic reversibility says that, in equilibrium, two-time cross-correlations
are symmetric under the exchange of observables. Thus, the asymmetry of cross …

We provide a unified thermodynamic formalism describing information transfers in
autonomous as well as nonautonomous systems described by stochastic thermodynamics …

Shannon information theory provides various measures of so-called syntactic information,
which reflect the amount of statistical correlation between systems. By contrast, the concept …

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 …

We study a relationship between optimal transport theory and stochastic thermodynamics for
the Fokker-Planck equation. We show that the lower bound on the entropy production is the …

Brownian clocks are biomolecular networks that can count time. A paradigmatic example are
proteins that go through a cycle, thus regulating some oscillatory behavior in a living system …

We derive detailed and integral quantum fluctuation theorems for heat exchange in a
quantum correlated bipartite thermal system using the framework of dynamic Bayesian …