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Analytical Calculation of Power Flow in Three Coupled Oscillators and its Application to One Dimensional Crystal

Author

Listed:
  • Chifu Ebene Ndikilar

    (Federal University Dutse, Jigawa State, Nigeria.)

  • Sofwan I. Saleh

    (Sule Lamido University Kafin-Hausa, Jigawa State, Nigeria.)

  • Hafeez Yusuf Hafeez

    (Federal University Dutse, Jigawa State, Nigeria.)

  • Lawan Sani Taura

    (Sule Lamido University Kafin-Hausa, Jigawa State, Nigeria.)

Abstract

The motion of a system consisting of three coupled oscillators of three masses attached together by four springs is studied analytically. The system is used as a model to describe the interactions between atoms in a one dimensional crystal with spring-like forces under white noise excitations. Two different cases are considered and the frequencies of oscillations are obtained as well as the equations of motion. The equations of motions are used to determine the power flow in the systems. The power flow determined is used to describe the effects of substitution impurities in a crystal. The power flow of the two systems studied decreases exponentially with increase in frequency to an asymptotic value.

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Handle: RePEc:epw:physic:v:2:y:2020:i:1:id:11004
DOI: 10.24018/ejphysics.2020.2.1.4
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