Efficiency at maximum power of a chemical engine

Abstract

A cyclically operating chemical engine is considered that converts chemical energy into mechanical work. The working fluid is a gas of finite-sized spherical particles interacting through elastic hard collisions. For a generic transport law for particle uptake and release, the efficiency at maximum power $\eta$ takes the form 1/2+cΔμ+ O(Δμ^2), with 1/2 a universal constant and $\Delta \mu$ the chemical potential difference between the particle reservoirs. The linear coefficient c is zero for engines featuring a so-called left/right symmetry or particle fluxes that are antisymmetric in the applied chemical potential difference. Remarkably, the leading constant in $\eta$ is non-universal with respect to an exceptional modification of the transport law. For a nonlinear transport model we obtain η= 1/(θ+1), with θ>0 the power of $\Delta \mu$ in the transport equation

References in corpus (4)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Efficiency of molecular motors at maximum power
• Fluctuation theorem for the effusion of an ideal gas
• Efficiency of molecular machines with continuous phase space

Cited by in corpus (13)

• Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
• Constitutive Relation for Nonlinear Response and Universality of Efficiency at Maximum Power for Tight-Coupling Heat Engines
• Efficiency of Single Particle Engines
• Network analysis of the performance of organic photovoltaic cells: The open circuit voltage and the zero current efficiency
• Engines with ideal efficiency and nonzero power for sublinear transport laws
• A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases
• Optimization of stochastic thermodynamic machines
• Hidden symmetries and nonlinear constitutive relations for tight-coupling heat engines
• Quantum thermochemical engines
• Power-Efficiency Constraint for Chemical Motors
• Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
• Optimal control strategy for collisional Brownian engines
• Enhanced performance of sudden-quench quantum Otto cycles via multi-parameter control