Quantum-Mechanical Brayton Engine for the Nonrelativistic Particle Trapped in a Symmetric Potential Box

Fikri Abdillah, Yohanes Dwi Saputra

Abstract


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.


Keywords


compression ratio, potential box, thermal efficiency, quantum Brayton engine

Full Text:

PDF

References


Zemansky, M. W. dan Dittman, R., Heat and Thermodynamic, McGRAW-Hill Companies, Inc, 1997.

Borgnakke Claus dan Sonntag, R. E., Fundamentals of Thermodynamics, John Wiley & Sons, Inc, 2013.

Bender, C. M., Brody, D. C., dan Meister, B. K., Quantum-Mechanical Carnot Engine, Journal of Physics A: Mathematical and General, 33(24), pp.4427–4436, 2000.

Setyo, D. P., Latifah, E., Wisodo, H., dan Hidayat, A., Quantum Relativistic Diesel Engine with Single Massless Fermion in 1 Dimensional Box System, Jurnal Penelitian Fisika dan Aplikasinya (JPFA), 8(1), pp.25–32, 2018.

Setyo, D. P. dan Latifah, E. Quantum Otto Engine based on Multiple-State Single Fermion in 1D Box System, in The 2017 International Conference on Mathematics, Science, and Education, 1093, pp. 1-7, 2018.

Akbar, M. S., Latifah, E., dan Wisodo, H. Limit of Relativistic Quantum Brayton Engine of Massless Boson Trapped 1 Dimensional Potential Well, in The 2017 International Conference on Mathematics, Science, and Education, 1093, pp. 1-12, 2018.

Latifah, E. dan Purwanto, A., Multiple-State Quantum Carnot Engine, Journal of Modern Physics, 2(11), pp.1366–1372, 2011.

Latifah, E. dan Purwanto, A., Quantum Heat Engines; Multiple-State 1D Box System, Journal of Modern Physics, 04(08), pp.1091–1098, 2013.

Sukamto, H., Purwanto, A., dan Subagyo, A., Mesin Panas Kuantum Partikel Relativistik pada Sumur Potensial 2 Dimensi, Jurnal Fisika dan Aplikasinya, 10(2), pp.103–107, 2014.

Purwanto, A., Sukamto, H., Subagyo, B. A., dan Taufiqi, M., Two Scenarios on the Relativistic Quantum Heat Engine, Journal of Applied Mathematics and Physics, 04(07), pp.1344–1353, 2016.

Saputra, Y. D., Quantum Lenoir Engine with a Single Particle System in a One Dimensional Infinite Potential Well, POSITRON, 9(2), pp.81–85, 2019.

Yuan, Y., He, J.-Z., Yong, G., dan Wang, J.-H. Efficiency at Maximum Power Output of a Quantum-Mechanical Brayton Cycle, Communications in Theoretical Physics, 61(03), pp. 344-348, 2014.

Quan, H. T., Quantum Thermodynamic Cycles and Quantum Heat Engines (II), Physical Review E, 79(4), pp. 1-10, 2009.

Quan, H. T., Liu, Y., Sun, C. P., dan Nori, F., Quantum Thermodynamic Cycles and Quantum Heat Engines, Physical Review E, 76(3), pp.1–19, 2008.

Singh, S., Quantum Braton Engine of Non-Interacting Fermions in One-Dimensional Box, International Journal of Theoretical Physics, 59(9), pp. 2889-2900, 2020.

Eka, T., Sutantyo, P., Husin, I., dan Prayitno, T., Quantum-Carnot engine for particle confined to cubic potential, in The 5th International Conference on Mathematics and Natural Sciences., 1677, pp. 1-5., 2015.

Saputra, Y. D., Quantum dual engine with working substance of a single particle inside the cubic potential, in International Conference on Science and Applied Science (ICSAS), 2296, pp. 1-8, 2020.

Bender, C. M., Brody, D. C., dan Meister, B. K., Entropy and Temperature of a Quantum Carnot Engine, in Proceeding of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 458, pp. 1519-1526, 2002.

Abdillah, F., Rifani, A., dan Dwi, Y. Quantum Brayton engine based on a single particle in the 2D symmetric potential well, in Conference on Theoretical Physics and Nonlinear Phenomena (CTPNP), 2234, pp. 1-6, 2020.




DOI: http://dx.doi.org/10.26418/positron.v10i2.40832

Refbacks

  • There are currently no refbacks.


Published by
Fakultas Matematika dan
Ilmu Pengetahuan Alam

                                                                               

In Cooperation with
Physical Society
of Indonesia

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.