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 …

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

We investigate the problem of minimizing the entropy production for a physical process that
can be described in terms of a Markov jump dynamics. We show that, without any further …

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

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

We propose a housekee**/excess decomposition of entropy production for general
nonlinear dynamics in a discrete space, including chemical reaction networks and discrete …

Recent years have witnessed a surge of discoveries in the studies of thermodynamic
inequalities: the thermodynamic uncertainty relation (TUR) and the entropic bound (EB) …

Time estimation is a fundamental task that underpins precision measurement, global
navigation systems, financial markets, and the organisation of everyday life. Many biological …

In the past three decades, the field of stochastic thermodynamics has been formulated and
highly developed. Stochastic thermodynamics extends the framework of thermodynamics …