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Journal : POSITRON

Quantum-Mechanical Brayton Engine for the Nonrelativistic Particle Trapped in a Symmetric Potential Box Fikri Abdillah; Yohanes Dwi Saputra
POSITRON Vol 10, No 2 (2020): Vol. 10 No. 2 Edition
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam, Univetsitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (388.88 KB) | DOI: 10.26418/positron.v10i2.40832

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.
Effect of Heat Leakage on Relativistic Quantum Lenoir Engine Performance with a Massless Boson as Working Substance in the Infinite Potential Box Saputra, Yohanes Dwi; Rahastama, Swastya; Firdaus, Rohim Aminullah
POSITRON Vol 14, No 1 (2024): Vol. 14 No. 1 Edition
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam, Univetsitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26418/positron.v14i1.64658

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.
Simulation of Quantum Tunnelling in Semiconductors: Analysis of Barrier Thickness Variation through the High Order FDTD Method Firdaus, Rohim Aminullah; Kurniawan, Ananda Rossy; Latifah, Eny; Saputra, Yohanes Dwi; Masulah, Bidayatul; Winarno, Nanang
POSITRON Vol 14, No 2 (2024): Vol. 14 No. 2 Edition
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam, Univetsitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26418/positron.v14i2.82415

Abstract

The time-dependent Schrödinger equation is fundamental to quantum mechanics, describing the temporal evolution of quantum systems. This research presents a High-Order Finite-Difference Time-Domain (HO-FDTD) method, employing Taylor series expansion to solve the equation with enhanced efficiency and accuracy. By advancing beyond traditional methods like first-order Taylor series (Crank-Nicolson, forward or backward Euler) or computationally intensive Runge-Kutta schemes, the HO-FDTD method leverages higher-order Taylor expansion for the time evolution operator while simultaneously refining the Laplacian operator. This dual improvement enhances precision, allowing for accurate modeling of complex quantum phenomena. Focusing on quantum tunneling, a critical process where electrons traverse potential barriers despite insufficient classical energy, the study examines tunneling probabilities and electron behavior across barriers of varying thickness in semiconductors. The simulations reveal that thicker barriers reduce tunneling probabilities, amplify deviations in electron positions, and indicate energy transfer during interactions, with increased resistance lowering kinetic energy and raising potential energy. These findings emphasize the significant influence of barrier thickness on quantum tunneling and highlight the HO-FDTD method"™s capability to capture intricate quantum dynamics, establishing it as a robust tool for advancing research and applications in quantum mechanics.
Role of Dimensionality on Quantum Atkinson Engine Performance Based on the Potential Well Using Two Lowest Energy Levels under Equal Heat Leakage in Hot and Cold Reservoirs Saputra, Yohanes Dwi; Romido, Verby; Sibarani, Nikita Renovich Burju; Apriwandi, Apriwandi; Friska, Vira; Rafitasari, Yeti; Zulfa, Zulfa
POSITRON Vol 16, No 1 (2026): Vol. 16 No. 1 Edition
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam, Univetsitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26418/positron.v16i1.105349

Abstract

This study theoretically investigates the influence of system dimensionality (1D, 2D, 3D) on the performance of a quantum Atkinson engine, a cycle consisting of two isentropic, one isochoric, and one isobaric stroke. This engine is modeled as a quantum analog of the classical ideal gas in a piston-cylinder, where the working fluid is a spinless particle confined in a one-, two-, or three-dimensional potential well, utilizing its two lowest energy states. In the absence of heat leakage, a fundamental decoupling is observed, as the compression ratio increases, thermal efficiency shows negligible variation across different dimensions, yet power output scales linearly with dimension. Under heat leakage, the lower-dimensional system is more efficient at low leakage, but proven to be more thermodynamically fragile, as its efficiency and reversibility degrade most rapidly as the leakage increases. A lower-dimensional system also consistently yields lower power output for a certain efficiency. This highlights a core nano-engine design consideration, balancing the high-power output of multi-dimensional systems against the thermal instability of lower dimensions.