For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in
particular, entropy production can be identified on the level of fluctuating dynamical …

Full article: Martingales for physicists: a treatise on stochastic thermodynamics and beyond
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Heat engines should ideally have large power output, operate close to Carnot efficiency and
show constancy, ie, exhibit only small fluctuations in this output. For steady-state heat …

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 nonequilibrium Fokker-Planck dynamics in an arbitrary force field f ⃗ (x ⃗) in dimension
N is revisited via the correspondence with the non-Hermitian quantum mechanics in a real …

The rate of entropy production provides a useful quantitative measure of a non-equilibrium
system and estimating it directly from time-series data from experiments is highly desirable …

The area enclosed by the two-dimensional Brownian motion in the plane was studied by
Lévy, who found the characteristic function and probability density of this random variable …

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

Fluctuations of thermodynamic quantities become non-negligible and play an important role
when the system size is small. We develop finite-time thermodynamics of fluctuations in …