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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Vibrational resonance in bichromatically excited diatomic molecules in a shifted molecular potential
AU - Abamba, O. G.
AU - Kolebaje, O. T.
AU - Vincent, Uchechukwu E.
AU - McClintock, Peter V. E.
PY - 2024/8/26
Y1 - 2024/8/26
N2 - For bichromatically excited diatomic molecules modelled in a shifted Tietz-Wei molecular potential, we demonstrate the occurrence of vibrational resonance (VR) when a saddle-node (SN-)bifurcation takes place, and its non-occurrence in the absence of an SN-bifurcation. We have examined the VR phenomenon and its connection with SN-bifurcation for eight diatomic molecules, namely, H2, N2, Cl2, I2, O2, HF, CO, and NO, consisting of homogeneous, heterogenous and halogen molecules. We demonstrate that each of them vibrates at a distinct resonant frequency but with a spread in frequency. The high-frequency amplitude at which VR occurs corresponds to the SN-bifurcation point. We validate our analytic results by numerical simulations, and show that the homonuclear halogens respond only weakly to bichromatic fields, which may perhaps be linked to their absence of SN-bifurcation.
AB - For bichromatically excited diatomic molecules modelled in a shifted Tietz-Wei molecular potential, we demonstrate the occurrence of vibrational resonance (VR) when a saddle-node (SN-)bifurcation takes place, and its non-occurrence in the absence of an SN-bifurcation. We have examined the VR phenomenon and its connection with SN-bifurcation for eight diatomic molecules, namely, H2, N2, Cl2, I2, O2, HF, CO, and NO, consisting of homogeneous, heterogenous and halogen molecules. We demonstrate that each of them vibrates at a distinct resonant frequency but with a spread in frequency. The high-frequency amplitude at which VR occurs corresponds to the SN-bifurcation point. We validate our analytic results by numerical simulations, and show that the homonuclear halogens respond only weakly to bichromatic fields, which may perhaps be linked to their absence of SN-bifurcation.
KW - Vibrational Resonance, biharmonics, diatomic molecules, shifted Tietz-Wei potential, molecular vibration.
M3 - Journal article
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
ER -