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arXiv:1908.09281 · International Journal of Theoretical Physics

Quantum Brayton Engine of Non-Interacting Fermions in a One Dimensional Box

Satnam Singh

Published Jul 22, 2020• 14 citations
arXivHTMLPDF
DOI
10.1007/s10773-020-04549-3

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A theoretical quantum Brayton engine research has been carried out using a potential box system to increase its thermal efficiency. The method applied in this research is a classical thermodynamics system model in the form of a piston tube containing a monatomic ideal gas analogous to a quantum model in the form of a potential box containing one particle. The efficiency formulation of the quantum Brayton engine obtained from this study is following the classical version. However, the efficiency value obtained on a quantum Brayton engine is higher when compared to its classic. It happens because the value of the Laplace constant owned by the Brayton quantum version is 3, while the classic version is 5/3.
A quantum heat engine converts heat into work based on the principles of quantum thermodynamics.This study investigates a quantum heat engine composed of two Dirac particles confined in a one-dimensional potential well. The potential well is limited to three discrete energy levels, and the two non-interacting Dirac particles are treated as identical. The system operates under a quantum Brayton cycle, consisting of isobaric and adiabatic processes. The total work output is calculated using the energy levels derived from the relativistic Dirac equation. The efficiency curve is obtained by plotting a theoretical expression as a function of the ratio LA/λ, where λ is the Compton wavelength. The efficiency increases monotonically with LA/λ, approaching an asymptotic maximum, and is further enhanced by larger values of the parameter α, which drive the engine toward near-optimal performance.