Compatibility of Carnot efficiency with finite power in an underdamped Brownian Carnot cycle in small temperature-difference regime

Abstract

We study the possibility of achieving the Carnot efficiency in a finite-power underdamped Brownian Carnot cycle. Recently, it was reported that the Carnot efficiency is achievable in a general class of finite-power Carnot cycles in the vanishing limit of the relaxation times. Thus, it may be interesting to clarify how the efficiency and power depend on the relaxation times by using a specific model. By evaluating the heat-leakage effect intrinsic in the underdamped dynamics with the instantaneous adiabatic processes, we demonstrate that the compatibility of the Carnot efficiency and finite power is achieved in the vanishing limit of the relaxation times in the small temperature-difference regime. Furthermore, we show that this result is consistent with a trade-off relation between power and efficiency by explicitly deriving the relation of our cycle in terms of the relaxation times.

References in corpus (31)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• The power of a critical heat engine
• Universal trade-off relation between power and efficiency for heat engines
• Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
• Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
• Cycling tames power fluctuations near optimum efficiency
• Multidimensional thermodynamic uncertainty relations
• Entropy production in full phase space for continuous stochastic dynamics
• Optimal cycles for low-dissipation heat engines
• Adiabatic processes realized with a trapped Brownian particle
• Chiral thermoelectrics with quantum Hall edge states
• Inattainability of Carnot efficiency in the Brownian heat engine
• Entropic bounds on currents in Langevin systems
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Universal constraint for efficiency and power of a low-dissipation heat engine
• Efficiency of three-terminal thermoelectric transport under broken-time reversal symmetry
• Underdamped stochastic heat engine at maximum efficiency
• Carnot efficiency at divergent power output
• Efficiency bounds on thermoelectric transport in magnetic fields: The role of inelastic processes
• Onsager coefficients of a Brownian Carnot cycle
• Quantum Nernst engines
• Efficiency versus Speed in Quantum Heat Engines: Rigorous Constraint from Lieb-Robinson Bound
• Diverging, but negligible power at Carnot efficiency: theory and experiment
• A Classical Nernst Engine
• Finite-time adiabatic processes: derivation and speed limit
• Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator
• Approaching Carnot efficiency at maximum power in linear response regime
• Heat leakage in overdamped harmonic systems
• Stationary engines in and beyond the linear response regime at the Carnot efficiency

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• Maximum Power of Coupled-Qubit Otto Engines
• Decomposition of metric tensor in thermodynamic geometry in terms of relaxation timescales
• Geometric Bounds on the Power of Adiabatic Thermal Machines
• Lower Bound of Entropy Production in an Underdamped Langevin System with Normal Distributions