Intramolecular vibrations and noise effects on pattern formation in a molecular helix

H. P. Ekobena Fouda, C. B. Tabi, A. Mohamadou, T. C. Kofané

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    Modulational instability in a biexciton molecular chain is addressed. We show that the model can be reduced to a set of three coupled equations: two nonlinear Schrödinger equations and a Boussinesq equation. The linear stability analysis of continuous wave solutions of the coupled systems is performed and the growth rate of instability is found numerically. Simulations of the full discrete systems reveal some behaviors of modulational instability, since wave patterns are observed for the excitons and the phonon spectrum. We also take the effect of thermal fluctuations into account and we numerically study both the stability and the instability of the plane waves under 300K. The plane wave is found to be stable under modulation, but displays a gradual increase of the wave amplitudes. Under modulation, the same behaviors are observed and wave patterns are found to resist thermal fluctuations, which is in agreement with earlier research on localized structure stability under thermal noise.

    Original languageEnglish
    Article number375104
    JournalJournal of physics. Condensed matter : an Institute of Physics journal
    Volume23
    Issue number37
    DOIs
    Publication statusPublished - Sep 21 2011

    Fingerprint

    helices
    vibration
    Modulation
    plane waves
    Linear stability analysis
    Thermal noise
    modulation
    molecular chains
    Nonlinear equations
    Excitons
    thermal noise
    nonlinear equations
    continuous radiation
    excitons
    simulation
    Hot Temperature

    All Science Journal Classification (ASJC) codes

    • Materials Science(all)
    • Condensed Matter Physics

    Cite this

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    abstract = "Modulational instability in a biexciton molecular chain is addressed. We show that the model can be reduced to a set of three coupled equations: two nonlinear Schr{\"o}dinger equations and a Boussinesq equation. The linear stability analysis of continuous wave solutions of the coupled systems is performed and the growth rate of instability is found numerically. Simulations of the full discrete systems reveal some behaviors of modulational instability, since wave patterns are observed for the excitons and the phonon spectrum. We also take the effect of thermal fluctuations into account and we numerically study both the stability and the instability of the plane waves under 300K. The plane wave is found to be stable under modulation, but displays a gradual increase of the wave amplitudes. Under modulation, the same behaviors are observed and wave patterns are found to resist thermal fluctuations, which is in agreement with earlier research on localized structure stability under thermal noise.",
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    Intramolecular vibrations and noise effects on pattern formation in a molecular helix. / Ekobena Fouda, H. P.; Tabi, C. B.; Mohamadou, A.; Kofané, T. C.

    In: Journal of physics. Condensed matter : an Institute of Physics journal, Vol. 23, No. 37, 375104, 21.09.2011.

    Research output: Contribution to journalArticle

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    T1 - Intramolecular vibrations and noise effects on pattern formation in a molecular helix

    AU - Ekobena Fouda, H. P.

    AU - Tabi, C. B.

    AU - Mohamadou, A.

    AU - Kofané, T. C.

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    AB - Modulational instability in a biexciton molecular chain is addressed. We show that the model can be reduced to a set of three coupled equations: two nonlinear Schrödinger equations and a Boussinesq equation. The linear stability analysis of continuous wave solutions of the coupled systems is performed and the growth rate of instability is found numerically. Simulations of the full discrete systems reveal some behaviors of modulational instability, since wave patterns are observed for the excitons and the phonon spectrum. We also take the effect of thermal fluctuations into account and we numerically study both the stability and the instability of the plane waves under 300K. The plane wave is found to be stable under modulation, but displays a gradual increase of the wave amplitudes. Under modulation, the same behaviors are observed and wave patterns are found to resist thermal fluctuations, which is in agreement with earlier research on localized structure stability under thermal noise.

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