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.

arXiv comment5+19 pages, 3+4 figures

References in corpus (38)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Efficiency at maximum power of low dissipation Carnot engines
• Single ion heat engine with maximum efficiency at maximum power
• Brownian Carnot engine
• Measuring thermodynamic length
• Optimal finite-time processes in stochastic thermodynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Thermodynamic metrics and optimal paths
• Engineered swift equilibration of a Brownian particle
• Slow dynamics and thermodynamics of open quantum systems
• Optimal cycles for low-dissipation heat engines
• Thermodynamic Geometry of Microscopic Heat Engines
• Thermodynamic length in open quantum systems
• Controlling the speed and trajectory of evolution with counterdiabatic driving
• Efficiency at maximum power output of linear irreversible Carnot-like heat engines
• Shortcuts to isothermality and nonequilibrium work relations
• Universal constraint for efficiency and power of a low-dissipation heat engine
• Maximum efficiency of steady-state heat engines at arbitrary power
• Underdamped stochastic heat engine at maximum efficiency
• Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Optimal thermodynamic control in open quantum systems
• Fluctuations in heat engines
• Geodesic path for the minimal energy cost in shortcuts to isothermality
• Fast forward approach to stochastic heat engine
• Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator
• Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
• Stochastic and Quantum Thermodynamics of Driven RLC Networks
• Optimizing Thermodynamic Cycles with Two Finite-Sized Reservoirs
• A microscopic theory of Curzon-Ahlborn heat engine
• Extrapolating the thermodynamic length with finite-time measurements
• Shortcuts in stochastic systems and control of biophysical processes
• Work distribution in thermal processes
• Stochastic Thermodynamics of a Particle in a Box
• Instantaneous equilibrium Transport for Brownian systems under time-dependent temperature and potential variations: Reversibility, Heat and work relations, and Fast Isentropic process

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