English

Optimal Control in Stochastic Thermodynamics

Statistical Mechanics 2023-04-13 v2

Abstract

We review recent progress in optimal control in stochastic thermodynamics. Theoretical advances provide in-depth insight into minimum-dissipation control with either full or limited (parametric) control, and spanning the limits from slow to fast driving and from weak to strong driving. Known exact solutions give a window into the properties of minimum-dissipation control, which are reproduced by approximate methods in the relevant limits. Connections between optimal-transport theory and minimum-dissipation protocols under full control give deep insight into the properties of optimal control and place bounds on the dissipation of thermodynamic processes. Since minimum-dissipation protocols are relatively well understood and advanced approximation methods and numerical techniques for estimating minimum-dissipation protocols have been developed, now is an opportune time for application to chemical and biological systems.

Keywords

Cite

@article{arxiv.2212.00706,
  title  = {Optimal Control in Stochastic Thermodynamics},
  author = {Steven Blaber and David A. Sivak},
  journal= {arXiv preprint arXiv:2212.00706},
  year   = {2023}
}
R2 v1 2026-06-28T07:19:43.179Z