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

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 …

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

Thermodynamic uncertainty relations (TURs) bound the dissipation in nonequilibrium
systems from below by fluctuations of an observed current. Contrasting the elaborate …

Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given
observable is constrained by dissipation. Fluctuation relations generalize the second law of …

For periodically driven systems, we derive a family of inequalities that relate entropy
production with experimentally accessible data for the mean, its dependence on driving …

We investigate the tightness and optimality of thermodynamic-uncertainty-relation (TUR)-
type inequalities from two aspects, the choice of the Fisher information and the class of …

A trade-off between the precision of an arbitrary current and the dissipation, known as the
thermodynamic uncertainty relation, has been investigated for various Markovian systems …

Thermodynamic uncertainty relations quantifying a trade-off between current fluctuation and
entropy production have been found in various stochastic systems. Herein, we study the …

In a finite system driven out of equilibrium by a constant external force the thermodynamic
uncertainty relation (TUR) bounds the variance of the conjugate current variable by the …