Mathematical Modelling and Applications

Volume 9, Issue 2, June 2024

  • Research Article

    Mathematical Model for Thermo-Electrical Instabilities in Semiconductors

    Mukaddas Arzikulova*

    Issue: Volume 9, Issue 2, June 2024
    Pages: 32-37
    Received: 11 April 2024
    Accepted: 28 April 2024
    Published: 17 May 2024
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    Abstract: Crystalline semiconductors under specific conditions, with an applied electric field, switch or oscillate between two conductive states, thus producing low frequency oscillations of electric current flowing through the sample and as a result of Joule heating oscillations of sample temperature. These phenomena are recognized to be thermo - electrica... Show More
  • Research Article

    Investigation of Thermo-Electrical Instabilities in a Semiconductor as 2D Dynamical Systems

    Mukaddas Arzikulova*

    Issue: Volume 9, Issue 2, June 2024
    Pages: 38-42
    Received: 30 April 2024
    Accepted: 20 May 2024
    Published: 30 May 2024
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    Abstract: A semiconducting sample placed in cryogenic media with applied electric field generates low frequency oscillations of electric current and sample temperature and known to be thermo-electrical instabilities. Although observation of current oscillations on oscilloscope is possible, change of sample temperature cannot be detected experimentally. Descr... Show More