Finite-time thermodynamic process of a two-level quantum heat engine

Abstract

In this paper, we consider a model of two-level quantum heat engine to investigate the explicit analytic expression for the thermodynamics quantities in different condition under the finite-time operation. In this engine, the working substance is composed of a spin-half particles immersed in a magnetic field. The finite-time thermodynamic processes consisting of two quantum adiabatic and two quantum isothermal processes. This processes working between two heat reservoirs with an inverse temperatures β 1 and β 2 (< β 1 ). In this processes, we obtain the work, heat, power and efficiency at maximum power output of the model. Our result of the efficiency at maximum power agree with the universal value in the first order of Carnot efficiency.keywords Quantum heat engine, efficiency at maximum power, two-level system, finite-time processes

Multi-Objective Optimization for Quantum Rectangular Cycle with Power, Efficiency and Efficient Power

“…Process 4 → 1 is an endothermic process with equal potential well width. Substituting ( 16) and ( 27) into (19) yields heat absorbed during this process…”

“…Since Scovil and Schulz-DuBois [7] first proposed a three-level quantum heat engine model in 1959, many scholars have proposed quantum energy conversion devices and quantum thermodynamic cycles using various quantum systems as working fluids, such as particles in one-dimensional infinite potential well (OIPW) [8], relativistic particles in OIPW [9], spin system [10], resonance subsystem [11], quantum gas [12], etc. Using these common quantum working media (WM) and applying finite-time thermodynamics (FTT) [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27], many scholars have studied the thermodynamic properties of quantum Stirling cycle [8], Carnot cycle [10,11,28], Diesel cycle [29], Brayton cycle [30,31], Otto cycle [32,33], etc. and got numerous meaningful results.…”