Performance of optimal linear-response processes in driven Brownian motion far from equilibrium

Abstract

Considering the paradigmatic driven Brownian motion, we perform extensive numerical analysis on the performance of optimal linear-response processes far from equilibrium. We focus on the overdamped regime where exact optimal processes are known analytically, and most experiments operate. This allows us to compare the optimal processes obtained in linear response and address their relevance to experiments, using realistic parameter values from experiments with optical tweezers. Our results help assess the accuracy of perturbative methods in calculating the irreversible work for cases where an exact solution does not exist. For that, we present a performance metric comparing the approximate optimal solution to the exact one. Our main result is that optimal linear-response processes can perform surprisingly well, even far from where they were expected.

12 pages, 11 figures; Comments are welcome

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Cited by in corpus (11)

• Optimal Control in Stochastic Thermodynamics
• Analytical solution for optimal protocols of weak drivings
• Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory
• Optimal work fluctuations for finite-time and weak processes
• Global optimization and monotonicity in entropy production of weak drivings
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Fluctuation theorems with optical tweezers: theory and practice
• Optimal finite-time processes in weakly driven overdamped Brownian motion
• Optimal control strategy for collisional Brownian engines
• Minimal dissipation with viscoelastic baths in weakly driven processes
• Thermodynamic optimization equalities in weakly driven processes