An Optimized Multilevel Quantum Engine With N Non Interacting Fermions Based On Lenoir Cycle

Abstract

A quantum Lenior engine within a quantum dynamical field consisting of N noninteracting fermions trapped in multilevel infinite potential square-well is studied. Fermions play role as working substance of the engine with each particle nested at di erent level of energy. The power and e ciency of the heat engine are derived analytically as functions compression ratio. Using the optimization methods suggested by A.C Hernandex et.al, the heat engine is e ectively optimized and found to yield better working conditions in some ranges of optimized compression ratios.The figure of merit, a quantity defined as a product of scaled power and scaled e ciency, ,was found to be greater than unity ( > 1) in range 0 < rop 7:12 and hence optimum working condition is referred to the maximum power working condition.However, when 7:12 < rop 15, < 1 and, therefore maximum working condition is preferable to the optimum condition