Effect of Heat Leakage on Relativistic Quantum Lenoir Engine Performance with a Massless Boson as Working Substance in the Infinite Potential Box

Authors

  • Yohanes Dwi Saputra Universitas Riau
  • Swastya Rahastama Institut Teknologi Kalimantan
  • Rohim Aminullah Firdaus Department of Physics, Faculty of Mathematics and Natural Sciences, State University of Surabaya

DOI:

https://doi.org/10.26418/positron.v14i1.64658

Keywords:

boson, efficiency, heat leakage, quantum Lenoir engine, potential box

Abstract

A study on the effect of heat leakage on power output, thermal efficiency, and reversibility rate in a relativistic quantum Lenoir engine has been conducted. Initially, we analogize the quantum working substance of the engine, a massless boson trapped in an infinite potential box with a movable right wall, as an ideal gas confined in a pistoned cylinder. Then, the total work, heat input, and heat output of each engine cycle which consists of isochoric, adiabatic expansion, and isobaric compression are extracted by applying the concept of quantum thermodynamics. Finally, power output, thermal efficiency, and reversibility rate of the engine are calculated for different variations of the heat leakage constant. The results are the relationship between several parameters which are expressed in the graph of thermal efficiency vs. compression ratio, graph of efficiency/normal efficiency vs. compression ratio, power output vs. efficiency, and reversibility rate vs. compression ratio. The conclusion is that an increase in heat leakage has an effect on reducing the efficiency and reversibility rate of the engine but does not affect its power output. This work will provide a new chapter for further research related to the use of the boson particle as a working substance in the quantum heat engine, especially the study of the heat leakage effect on engine performance.

Author Biographies

Yohanes Dwi Saputra, Universitas Riau

Department of Physics, Faculty of Mathematics and Natural Science, Riau University

Swastya Rahastama, Institut Teknologi Kalimantan

Department of Physics, Institut Teknologi Kalimantan

Rohim Aminullah Firdaus, Department of Physics, Faculty of Mathematics and Natural Sciences, State University of Surabaya

Department of Physics, Faculty of Mathematics and Natural Sciences, State University of Surabaya

References

Scovil, H. E. D. and Schulz-DuBois, E. O., Three-Level Masers as Heat Engines, Phys. Rev. Lett., 2(6), pp. 262–263, 1959.

Raja, S. H., Maniscalco, S., Paraoanu, G. S. , Pekola, J. P., and Gullo, N. Lo, Finite-time quantum Stirling heat engine, New Journal of Physics, 23(3), 2021.

Singh, S. and Abah, O., Energy Optimization of Two-level Quantum Otto Machines, arXiv, pp. 1–8, 2020.

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

Latifah, E. and Purwanto, A., Multiple-State Quantum Carnot Engine, Journal of Modern Physics, 02(11), pp. 1366–1372, 2011.

Singh, S., Quantum Brayton Engine of Non-Interacting Fermions in a One Dimensional Box, International Journal of Theoretical Physics, 2020.

Singh, S. and Rebari, S., Multi-level quantum diesel engine of non-interacting fermions in a one-dimensional box, European Physical Journal B, 93(8), pp. 1–7, 2020.

Papadatos, N., The Quantum Otto Heat Engine with a Relativistically Moving Thermal Bath, International Journal of Theoretical Physics, 60(11–12), pp. 4210–4223, 2021.

Lindenfels, D. Von , Gräb, O. , Schmiegelow, C. T., Kaushal, V. , Schulz, J. , Mitchison, M. T. , Goold, J. , Schmidt-Kaler, F. , and Poschinger, U. G. , Spin Heat Engine Coupled to a Harmonic-Oscillator Flywheel, Physical Review Letters, 2019.

Chatterjee, S., Koner, A., Chatterjee, S., and Kumar, C., Temperature-dependent maximization of work and efficiency in a degeneracy-assisted quantum Stirling heat engine, Physical Review E, 103(6), 2021.

Kosloff, R. and Rezek, Y., The quantum harmonic Otto cycle, Entropy, 19(4), pp. 1–36, 2017.

Liu, X., Chen, L., Ge, Y., Wu, F., and Sun, F., Fundamental optimal relation of a spin 1/2 quantum Brayton heat engine with multi-irreversibilities, Scientia Iranica, 19(4), pp. 1124–1132, 2012.

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

Bender, C. M., Brody, D. C., and Meister, B. K., Entropy and temperature of a quantum Carnot engine, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002.

Wang, J., Ma, Y., and He, J., Quantum-mechanical engine models and their efficiencies, pp. 1–11, 2013.

Ye, Z. L., Li, W. S., Lai, Y. M., He, J. Z., and Wang, J. H., Universal Expression of Efficiency at Maximum Power: A Quantum-Mechanical Brayton Engine Working with a Single Particle Confined in a Power-Law Trap, Communications in Theoretical Physics, 64(6), pp. 671–675, 2015.

Abdillah, F., Rifani, A., and Saputra, Y. D. In Quantum Brayton engine based on a single particle in the 2D symmetric potential well, AIP Conference Proceedings, 2234(0), pp. 0400071-0400076, 2020.

Singh, V., Singh, S., Abah, O., and Müstecaplloǧlu, Ö. E., Unified trade-off optimization of quantum harmonic Otto engine and refrigerator, Physical Review E, 106(2), 2022.

Simmons, E. Q., Sajjad, R., Keithley, K., Mas, H., Tanlimco, J. L., Nolasco-Martinez, E., Bai, Y., Fredrickson, G. H., and Weld, D. M., Thermodynamic engine with a quantum degenerate working fluid, pp. 1–8, 2023.

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

Saputra, Y. D. and Rifani, A. In Quantum dual-engine based on one-dimensional infinite potential well, AIP Conference Proceedings, 2202(0), pp. 0200271-0200277, 2019.

Saputra, Y. D. and Ainiya, L. In Quantum dual engine based on a particle in a two-dimensional symmetrical potential well, AIP Conference Proceedings, 2234(0), pp. 0400361-0400367, 2020.

Saputra, Y. D. In Quantum dual engine with working substance of a single particle inside the cubic potential, AIP Conference Proceedings, 2296(0), pp. 0201341-0201346, 2020.

Enock, O., Emmanuel, U., and Oghenetega, A., The efficiency of simple quantum engine: Stirling and Ericsson cycle, arXiv, pp. 1-11, 2020.

Wang, J. and He, J., Optimization on a three-level heat engine working with two noninteracting fermions in a one-dimensional box trap, Journal of Applied Physics, 111(4), 2012.

Fahriza, A., Sutantyo, T. E. P., and Abdullah, Z., Optimizations of multilevel quantum engine with N noninteracting fermions based on Lenoir cycle, European Physical Journal Plus, 137(9), 2022.

Wang, J. and He, J., Optimization on a three-level heat engine working with two noninteracting fermions in a one-dimensional box trap, Journal of Applied Physics, 111(4), 2012.

Akbar, M. S., Latifah, E., and Wisodo, H., Limit of Relativistic Quantum Brayton Engine of Massless Boson Trapped 1 Dimensional Potential Well, Journal of Physics: Conference Series, 1093(1), 2018.

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

Saputra, Y. D. In Quantum Lenoir Engine with a Multiple-eigenstates Particle in 1D Potential Box, AIP Conference Proceedings, 1726(0), pp. 1-12, 2021.

Quan, H. T., Liu, Y. X., Sun, C. P., and Nori, F., Quantum thermodynamic cycles and quantum heat engines, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76(3), pp. 1–19, 2007.

Downloads

Published

2024-05-31