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 …

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 …

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 …

We provide a strategy for the exact inference of the average as well as the fluctuations of the
entropy production in nonequilibrium systems in the steady state, from the measurements of …

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

The total entropy production quantifies the extent of irreversibility in thermodynamic systems,
which is nonnegative for any feasible dynamics. When additional information such as the …

Active matter systems, from self-propelled colloids to motile bacteria, are characterized by
the conversion of free energy into useful work at the microscopic scale. They involve physics …

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 …

We discuss how to use correlations between different physical observables to improve
recently obtained thermodynamics bounds, notably the fluctuation-response inequality and …

Understanding current fluctuations is of fundamental importance and paves the way for the
development of practical applications. According to the thermodynamic and kinetic …