Optimal finite-time processes in weakly driven overdamped Brownian motion
Loading...
Links to Files
Author/Creator
Author/Creator ORCID
Date
2022-08-17
Type of Work
Department
Program
Citation of Original Publication
Nazé, Pierre, Sebastian Deffner and Marcus V S Bonança. "Optimal finite-time processes in weakly driven overdamped Brownian motion." Journal of Physics Communications, 6, no. 8 (17 August 2022). https://doi.org/10.1088/2399-6528/ac871d
Rights
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
Attribution 4.0 International (CC BY 4.0)
Attribution 4.0 International (CC BY 4.0)
Subjects
Abstract
The complete physical understanding of the optimization of the thermodynamic work still is an important open problem in stochastic thermodynamics. We address this issue using the Hamiltonian approach of linear response theory in finite time and weak processes. We derive the Euler-Lagrange equation associated and discuss its main features, illustrating them using the paradigmatic example of driven Brownian motion in overdamped regime. We show that the optimal protocols obtained either coincide, in the appropriate limit, with the exact solutions by stochastic thermodynamics or can be even identical to them, presenting the well-known jumps. However, our approach reveals that jumps at the extremities of the process are a good optimization strategy in the regime of fast but weak processes for any driven system. Additionally, we show that fast-but-weak optimal protocols are time-reversal symmetric, a property that has until now remained hidden in the exact solutions far from equilibrium.