Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts
of heat, work and entropy production for individual stochastic trajectories of mesoscopic …

A general understanding of optimal control in nonequilibrium systems would illuminate the
operational principles of biological and artificial nanoscale machines. Recent work has …

We present an English translation of Erwin Schrödinger's paper on “On the Reversal of the
Laws of Nature ''. In this paper, Schrödinger analyses the idea of time reversal of a diffusion …

Optimal control theory deals with finding protocols to steer a system between assigned initial
and final states, such that a trajectory-dependent cost function is minimized. The application …

An optimal finite-time process drives a given initial distribution to a given final one in a given
time at the lowest cost as quantified by total entropy production. We prove that for a system …

We demonstrate that previous path integral formulations for the general stochastic
interpretation generate incomplete results exemplified by the geometric Brownian motion …

We derive the equations governing the protocols minimizing the heat released by a
continuous-time Markov jump process on a one-dimensional countable state space during a …

Statistical invariance of Wiener increments under SO (n) rotations provides a notion of
gauge transformation of state-dependent Brownian motion. We show that the stochastic …

We present a stylized model of controlled equilibration of a small system in a fluctuating
environment. We derive the optimal control equations steering in finite-time the system …

[1308.1518] Fluctuation Relations in Stochastic Thermodynamics Skip to main content
Cornell University We gratefully acknowledge support from the Simons Foundation …