Universal Expression of Efficiency at Maximum Power: A Quantum-Mechanical Brayton Engine Working with a Single Particle Confined in a Power-Law Trap

Abstract

We propose a quantum-mechanical Brayton engine model that works between two superposed states, employing a single particle confined in an arbitrary power-law trap as the working substance. Applying the superposition principle, we obtain the explicit expressions of the power and efficiency, and find that the efficiency at maximum power is bounded from above by the function: η+ = θ/(θ + 1), with θ being a potential-dependent exponent.

Effect of Heat Leakage on Relativistic Quantum Lenoir Engine Performance with a Massless Boson as Working Substance in the Infinite Potential Box

“…The right wall of the potential box can move freely like a piston. The success of this method led to many other publications for other quantum cycles such as Brayton [4,6,[15][16][17], Otto [8,18,19], Diesel [7,20], Dual [21][22][23], Stirling [2,10,24], Ericsson [24], etc. These studies have not only focused on obtaining efficiency formulations of the cycles but have progressed to study power output, efficiency at maximum power output, reversibility rate, the effect of the presence of heat leakage [25,26], etc.…”