Optimizing Brownian heat engine with shortcut strategy

Abstract

Shortcuts to isothermality provide a powerful method to speed up quasistatic thermodynamic processes within finite-time manipulation. We employ the shortcut strategy to design and optimize Brownian heat engines, and formulate a geometric description of the energetics with the thermodynamic length. We obtain a tight and reachable bound of the output power, which is reached by the optimal protocol to vary the control parameters with a proper constant velocity of the thermodynamic length. Our results generalize the previous optimization in the highly underdamped and the overdamped regimes to the general-damped situation, and are applicable for arbitrary finite-time cycles.

5+19 pages, 3+4 figures

References in corpus (7)

• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Single ion heat engine with maximum efficiency at maximum power
• Optimal finite-time processes in stochastic thermodynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Geodesic path for the minimal energy cost in shortcuts to isothermality
• Instantaneous equilibrium Transport for Brownian systems under time-dependent temperature and potential variations: Reversibility, Heat and work relations, and Fast Isentropic process

Cited by in corpus (11)

• Optimal Control in Stochastic Thermodynamics
• Optimal time-entropy bounds and speed limits for Brownian thermal shortcuts
• Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
• Microscopic low-dissipation heat engine via shortcuts to adiabaticity and shortcuts to isothermality
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Geodesic bound of the minimum energy expense to achieve membrane separation within finite time
• Geodesic path for the optimal nonequilibrium transition: Momentum-independent protocol
• A Shortcut to Finite-time Memory Erasure
• Revisiting Endo-reversible Carnot engine: Extending the Yvon engine
• Optimizing low-dissipation Carnot-like thermal devices with heat leak
• Unified approach to power-efficiency trade-off relations of generic thermal machines