Maximum power of a two-dimensional quantum mechanical engine with spherical symmetry

Abstract

We study two-dimensional quantum Carnot engines of spherical symmetry by considering the case of a particle on the surface of a sphere of changing radius. The Carnot cycle is built allowing the state of the system to change with the specific constrains discussed in Bender's work for Carnot cycles. After studying the Carnot cycle, we maximize the output power and efficiency of the system to show that as it happens in one dimension systems:(i) the efficiency can be optimized; being its optimal value independent of the parameters describing the system and that the optimal output power at the optimal efficiency is non-zero. (ii) The optimal efficiency of the spherical system is much bigger than that of the one-dimensional quantum well considered in Abe's work.

Optimizations of Multilevel Quantum Heat Engine with N Noninteracting Fermions Based on Lenoir Cycle

“…Quantum model of heat engines has wide probability to be investigated, e.g. considering the particle types as working substance [17][18][19][20], the quantum system used to construct the quantum heat engine [21][22][23][24][25][26][27][28][29], the thermodynamic cycle used in model engine [30][31][32][33][34][35][36], etc. The three-steps thermodynamic process of Lenoir heat engine has been tried to be optimized model for future engine [37][38][39].…”

Three-State Quantum Heat Engine Based on Carnot Cycle

“…Since the beginning of the quantum era, physicists have tried to find various interrelated connections between classical physics and quantum physics, including the relevance of thermodynamics and quantum. Nowadays, quantum thermodynamics has become a very active research topic, especially for the issue of Quantum Heat Engine (QHE) models (Ferdi, 2019); (Fernandez and Omar, 2019); (Singh, 2019); (Saputra and Rifani, 2019); (Akbar et al, 2018); (Setyo and Latifah, 2018); (Thomas et al, 2017); (Anders and Giovannetti, 2013); (Muñoz et al, 2012); (Latifah and Purwanto, 2011); (Quan et al, 2007); (Rezek and Kosloff, 2006). Started by the pioneers of QHE idea, Scovil and Schulz-DuBois (1959), the purpose of the quantum approach in modeling a heat engine is to discover the most efficient heat engine model.…”