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Vibrational resonance of ammonia molecule with doubly singular position-dependent mass

Author

Listed:
  • Taiwo O. Roy-Layinde

    (Olabisi Onabanjo University)

  • Kehinde A. Omoteso

    (Olabisi Onabanjo University)

  • Babatunde A. Oyero

    (Olabisi Onabanjo University)

  • John A. Laoye

    (Olabisi Onabanjo University)

  • Uchechukwu E. Vincent

    (Redeemer’s University
    Lancaster University)

Abstract

We examine vibrational resonance (VR) in a position-dependent mass (PDM) oscillator with doubly singular mass distribution function describing the vibrational inversion mode of NH $$_{3}$$ 3 molecule. The impacts of the PDM parameters $$(m_{0}, a,\eta )$$ ( m 0 , a , η ) on VR were studied by computing the response amplitudes as functions of the amplitude of high-frequency component of the dual-frequency driving forces and the PDM parameters. We show for the first time that, beside the significant roles played by the parameters of the variable mass in inducing and controlling resonances similar to the forcing parameters, the variable mass parameters impact on the resonance characteristics by leading the system from single resonance into double resonance. Graphic abstract

Suggested Citation

  • Taiwo O. Roy-Layinde & Kehinde A. Omoteso & Babatunde A. Oyero & John A. Laoye & Uchechukwu E. Vincent, 2022. "Vibrational resonance of ammonia molecule with doubly singular position-dependent mass," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(5), pages 1-11, May.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:5:d:10.1140_epjb_s10051-022-00342-9
    DOI: 10.1140/epjb/s10051-022-00342-9
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    References listed on IDEAS

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    1. Gitterman, M., 2014. "Stochastic oscillator with random mass: New type of Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 11-21.
    2. Ge, Mengyan & Lu, Lulu & Xu, Ying & Mamatimin, Rozihajim & Pei, Qiming & Jia, Ya, 2020. "Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    3. Fu, Peng & Wang, Can-Jun & Yang, Ke-Li & Li, Xu-Bo & Yu, Biao, 2022. "Reentrance-like vibrational resonance in a fractional-order birhythmic biological system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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    Cited by:

    1. Kaijun Wu & Jiawei Li, 2023. "Effects of high–low-frequency electromagnetic radiation on vibrational resonance in FitzHugh–Nagumo neuronal systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(9), pages 1-19, September.
    2. Roy-Layinde, T.O. & Omoteso, K.A. & Diala, U.H. & Runsewe, J.A. & Laoye, J.A., 2024. "Analysis of vibrational resonance in an oscillator with exponential mass variation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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