The Efficiency of a Quantum Brayton Engine Using Wood-Saxon Potential

Authors

  • Oladimeji Enock Oluwole

    Federal university Lokoja
    Author
  • Umeh Emmanuel Chukwuebuk

    Federal university Lokoja
    Author
  • Idundun Victory Toritseju

    Federal university Lokoja
    Author
  • Koffa Durojaiye Jude

    Federal university Lokoja
    Author
  • Obaje Vivian Onechojo

    Kogi State University
    Author
  • Uzer John Mkohol

    Federal university Lokoja
    Author
  • Etim Emmanuel Edet

    Federal University Wukari,Taraba State
    Author

Keywords:

Quantum thermodynamics, Wood-Saxon, Carnot cycle,, Quantum heat engines, finite-engine

Abstract

This paper investigates the efficiency of a Quantum Brayton Engine (QBE) using the Wood-Saxon (WS) potential as the working substance. The WS potential offers a more realistic model compared to the traditional Free-Particle (FP) model for studying quantum systems. The work follows the formalism established by Bender et al. (2000) to describe the QBE cycle with two isentropic and two adiabatic processes. The efficiency expression for the QBE with WS potential is derived. The derived efficiency expression showcases the dependence on the parameters of the WS potential, including depth, confinement width, and diffuseness. By taking the FP limit of the WS model, the efficiency reduces to the well-known expression for a QBE with a free particle, validating the approach. This research demonstrates the potential of the WS potential for analyzing the performance of QBE and paves the way for further exploration of more realistic models in quantum thermodynamics.

 

 

Author Biographies

  • Oladimeji Enock Oluwole, Federal university Lokoja

    Theoretical Physics Group, Department of Physics, Federal University Lokoja, Lokoja, Nigeria.

  • Umeh Emmanuel Chukwuebuk, Federal university Lokoja

    Theoretical Physics Group, Department of Physics, Federal University Lokoja, Lokoja, Nigeria.

  • Idundun Victory Toritseju, Federal university Lokoja

    Theoretical Physics Group, Department of Physics, Federal University Lokoja, Lokoja, Nigeria.

  • Koffa Durojaiye Jude , Federal university Lokoja

    Theoretical Physics Group, Department of Physics, Federal University Lokoja, Lokoja, Nigeria.

  • Obaje Vivian Onechojo , Kogi State University

    Department of Physics, Kogi State University, Anyigba, Nigeria.

  • Uzer John Mkohol , Federal university Lokoja

    Department of Physics, Federal University Lokoja, Lokoja, Nigeria

  • Etim Emmanuel Edet , Federal University Wukari,Taraba State

    Department of Chemical Sciences,

    Federal University Wukari, Nigeria.

     

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Published

2025-03-13

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