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AIP conference proceedings

Quantum dual engine with working substance of a single particle inside the cubic potential

Yohanes Dwi Saputra

Published Jan 1, 2020• 2 citations
Publisher

Abstract

A dual engine with one particle in a three-dimensional symmetry potential well, as a quantum working fluid, has been modeled. This research is based on the possibility to enhance the efficiency of a classical dual engine based on the 1st law of thermodynamics. The quantum system used is a modified analogy from the classical thermodynamic system, which is the ideal gas in the piston cylinder. By assuming the ideal gas pressure as a potential wall mechanical force, the ideal gas volume as the width of the potential well, and the ideal gas temperature as the total energy expectation value for a single particle, a dual quantum engine can be built theoretically. The five processes that work on each classical dual cycle can be analogous to the quantum system. The result is the similarity thermal efficiency equation of a quantum dual engine and the classical one. Besides, the heat capacity ratio of the quantum dual engine is greater than the classical engine which causes the efficiency of the quantum version to outperform the classical version when it is in the same mechanical ratio conditions.

DOI
10.1063/5.0030364

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AIP conference proceedings•Jan 1, 2020•0 citations
A dual engine with one particle in a three-dimensional symmetry potential well, as a quantum working fluid, has been modeled. This research is based on the possibility to enhance the efficiency of a classical dual engine based on the 1st law of thermodynamics. The quantum system used is a modified analogy from the classical thermodynamic system, which is the ideal gas in the piston cylinder. By assuming the ideal gas pressure as a potential wall mechanical force, the ideal gas volume as the width of the potential well, and the ideal gas temperature as the total energy expectation value for a single particle, a dual quantum engine can be built theoretically. The five processes that work on each classical dual cycle can be analogous to the quantum system. The result is the similarity thermal efficiency equation of a quantum dual engine and the classical one. Besides, the heat capacity ratio of the quantum dual engine is greater than the classical engine which causes the efficiency of the quantum version to outperform the classical version when it is in the same mechanical ratio conditions.
A single particle-based quantum dual engine in a two-dimensional symmetrical potential well has been studied to determine its thermal efficiency formulation. This quantum efficiency of the engine will be compared to the classical version, the gas in the piston tube, which is considered still needs to be improved its efficiency according to the second law of thermodynamics. By analogizing the variables that exist in the classical system to the quantum system, heat energy and work for the five thermodynamic processes in a quantum dual cycle can be extracted. The main result is obtained that the thermal efficiency of a dual quantum engine has similar formulations with the classical counterpart. The higher heat capacity ratio of the quantum system has the effect of higher efficiency of the quantum dual engine than the efficiency of the classical version at the same compression ratio, cut-off ratio, and pressure ratio.
A quantum dual-engine is a machine that applies a dual cycle in a quantum system. This machine is a quantum analogy to the classical dual-engine consisting of a combination of classical Otto engine and classical Diesel engine. By analogizing a particle in a one-dimensional infinite potential well as a gas in a piston-cylinder, quantum thermodynamic processes in a dual cycle can be explained from the analogies of classical processes such as adiabatic, isochoric, and isobar. This research examines the value of thermal efficiency and other aspects of the quantum dual-engine with the study of literature. The results of the research show that the thermal efficiency of the quantum dual-engine has similarities with the classical dual-engine. Under the same mechanical ratios condition, the thermal efficiency of a quantum dual-engine has a higher value than the thermal efficiency of its classical engines.
Lenoir engine based on the quantum system has been studied theoretically to increase the thermal efficiency of the ideal gas. The quantum system used is a single particle (as a working fluid instead of gas in a piston tube) in a one-dimensional infinite potential well with a wall that is free to move. The analogy of the appropriate variables between classical and quantum systems makes the three processes for the classical Lenoir engine applicable to the quantum system. The thermal efficiency of the quantum Lenoir engine is found to have the same formulation as the classical one. The higher heat capacity ratio in the quantum system increases the thermal efficiency of the quantum Lenoir engine by 56.29% over the classical version at the same compression ratio of 4.41.
Abstract QLE which has the working substance of a quantum system, a single particle confined in a one-dimensional potential box, has been constructed theoretically in this paper. The quantum system replaces the role of the classical system which has a working substance in the form of gas confined in a piston cylinder. The piston that moves back and forth is substituted by a 1D potential box wall that can move freely to change the width of the potential box. In this way, the three classical thermodynamic processes in the CLE (Classical Lenoir Engine), namely isochoric, isotherm, and isobar, can be analogous to the quantum system. Finally, we find that the thermal efficiency formulation of QLE has the similarity of shape to the CLE efficiency equation. However, a higher ratio of specific heat for QLE makes the efficiency value greater than CLE at each same compression ratio.
A Brayton engine is one of the heat engines that convert heat energy into mechanical work. This engine is often implemented on turbojet engines of airplanes and gas turbines. However, the efficiency of a classically Brayton engine still needs to be improved according to the second law of thermodynamics. This research presents a Brayton engine on 2D symmetric potential well. The used method is modeling analogy of the first law of thermodynamics and then it is implemented into a quantum system with the single-particle as a working substance. The primary result obtained is the efficiency formulation of a quantum Brayton engine for 2D symmetric potential well which is similar to the 1D quantum Brayton engine and the classical Brayton engine. Quantum Brayton engine in 2D has a higher efficiency compared to the 1D and the classical one.
Quantum Brayton engine efficiency with the massless boson particle as a working substance has been investigated. The research method used is analogy modeling of the first law of classical thermodynamics which is implemented into the quantum systems. The quantum system used is the single massless boson particle trapped inside the two-dimensional symmetrical potential well as a replacement for the classic system is an ideal gas in a piston tube. By replacing the working substance from the classical system into a quantum system, the four processes that form the classic Brayton cycle (two isobaric processes and two adiabatic processes) can be constructed on the quantum system. The final result indicates that the quantum Brayton engine with boson particle has a higher efficiency value compared to the classic version, but is lower than that engine when the massless boson is replaced with nonrelativistic particles. This occurs because of differences in Laplace's constant value in the three systems.