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

Taiwo O. Roy-Layinde (), Kehinde A. Omoteso (), Babatunde A. Oyero (), John A. Laoye () and Uchechukwu E. Vincent ()
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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

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 5, 1-11

Abstract: 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

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00342-9

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