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

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

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 …

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 …

Entropy production characterizes the thermodynamic irreversibility and reflects the amount
of heat dissipated into the environment and free energy lost in nonequilibrium systems …

The thermodynamic uncertainty relation (TUR) describes a trade-off relation between
nonequilibrium currents and entropy production and serves as a fundamental principle of …

Nanoscale heat engines are subject to large fluctuations which affect their precision. The
thermodynamic uncertainty relation (TUR) provides a trade-off between output power …

A deeper understanding of the differences between quantum and classical dynamics
promises great potential for emerging technologies. Nevertheless, some aspects remain …

Thermodynamic uncertainty relations express a trade-off between precision, defined as the
noise-to-signal ratio of a generic current, and the amount of associated entropy production …