Temperature effects in a nonlinear model of monolayer Scheibe aggregates

Ole Bang, Peter Leth Christiansen, F. If, Kim Rasmussen, Y. B. Gaididei

    Research output: Contribution to journalJournal articleResearchpeer-review

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    Abstract

    A nonlinear dynamical model of molecular monolayers arranged in Scheibe aggregates is derived from a proper Hamiltonian. Thermal fluctuations of the phonons are included. The resulting equation for the excitons is the two dimensional nonlinear Schrodinger equation with noise. Two limits of the complicated spectrum of the noise are considered: time independent, spatially white noise, simply corresponding to disorder in the arrangement of the molecules, and pure white noise. Parameter values are found by comparison with experiments by Mobius and Kuhn [Isr. J. Chem. 18, 375 (1979)] and order of magnitude estimates given where experiments are not available. The temperature dependent coherence time is found from numerical simulations. Experiments show that the excitons stay coherent during their life-time. This is in correspondence with the model at temperatures lower than 3 K. To increase this limiting temperature it is found that the dipole-dipole coupling and the exciton-phonon coupling must be decreased significantly.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume49
    Issue number5
    Pages (from-to)4627-4636
    ISSN1063-651X
    DOIs
    Publication statusPublished - 1994

    Bibliographical note

    Copyright (1994) by the American Physical Society.

    Keywords

    • ASSEMBLIES
    • ENERGY-TRANSFER
    • EXCITONS
    • DECAY

    Cite this

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    title = "Temperature effects in a nonlinear model of monolayer Scheibe aggregates",
    abstract = "A nonlinear dynamical model of molecular monolayers arranged in Scheibe aggregates is derived from a proper Hamiltonian. Thermal fluctuations of the phonons are included. The resulting equation for the excitons is the two dimensional nonlinear Schrodinger equation with noise. Two limits of the complicated spectrum of the noise are considered: time independent, spatially white noise, simply corresponding to disorder in the arrangement of the molecules, and pure white noise. Parameter values are found by comparison with experiments by Mobius and Kuhn [Isr. J. Chem. 18, 375 (1979)] and order of magnitude estimates given where experiments are not available. The temperature dependent coherence time is found from numerical simulations. Experiments show that the excitons stay coherent during their life-time. This is in correspondence with the model at temperatures lower than 3 K. To increase this limiting temperature it is found that the dipole-dipole coupling and the exciton-phonon coupling must be decreased significantly.",
    keywords = "ASSEMBLIES, ENERGY-TRANSFER, EXCITONS, DECAY",
    author = "Ole Bang and Christiansen, {Peter Leth} and F. If and Kim Rasmussen and Gaididei, {Y. B.}",
    note = "Copyright (1994) by the American Physical Society.",
    year = "1994",
    doi = "10.1103/PhysRevE.49.4627",
    language = "English",
    volume = "49",
    pages = "4627--4636",
    journal = "Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)",
    issn = "2470-0045",
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    Temperature effects in a nonlinear model of monolayer Scheibe aggregates. / Bang, Ole; Christiansen, Peter Leth; If, F.; Rasmussen, Kim; Gaididei, Y. B.

    In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, Vol. 49, No. 5, 1994, p. 4627-4636.

    Research output: Contribution to journalJournal articleResearchpeer-review

    TY - JOUR

    T1 - Temperature effects in a nonlinear model of monolayer Scheibe aggregates

    AU - Bang, Ole

    AU - Christiansen, Peter Leth

    AU - If, F.

    AU - Rasmussen, Kim

    AU - Gaididei, Y. B.

    N1 - Copyright (1994) by the American Physical Society.

    PY - 1994

    Y1 - 1994

    N2 - A nonlinear dynamical model of molecular monolayers arranged in Scheibe aggregates is derived from a proper Hamiltonian. Thermal fluctuations of the phonons are included. The resulting equation for the excitons is the two dimensional nonlinear Schrodinger equation with noise. Two limits of the complicated spectrum of the noise are considered: time independent, spatially white noise, simply corresponding to disorder in the arrangement of the molecules, and pure white noise. Parameter values are found by comparison with experiments by Mobius and Kuhn [Isr. J. Chem. 18, 375 (1979)] and order of magnitude estimates given where experiments are not available. The temperature dependent coherence time is found from numerical simulations. Experiments show that the excitons stay coherent during their life-time. This is in correspondence with the model at temperatures lower than 3 K. To increase this limiting temperature it is found that the dipole-dipole coupling and the exciton-phonon coupling must be decreased significantly.

    AB - A nonlinear dynamical model of molecular monolayers arranged in Scheibe aggregates is derived from a proper Hamiltonian. Thermal fluctuations of the phonons are included. The resulting equation for the excitons is the two dimensional nonlinear Schrodinger equation with noise. Two limits of the complicated spectrum of the noise are considered: time independent, spatially white noise, simply corresponding to disorder in the arrangement of the molecules, and pure white noise. Parameter values are found by comparison with experiments by Mobius and Kuhn [Isr. J. Chem. 18, 375 (1979)] and order of magnitude estimates given where experiments are not available. The temperature dependent coherence time is found from numerical simulations. Experiments show that the excitons stay coherent during their life-time. This is in correspondence with the model at temperatures lower than 3 K. To increase this limiting temperature it is found that the dipole-dipole coupling and the exciton-phonon coupling must be decreased significantly.

    KW - ASSEMBLIES

    KW - ENERGY-TRANSFER

    KW - EXCITONS

    KW - DECAY

    U2 - 10.1103/PhysRevE.49.4627

    DO - 10.1103/PhysRevE.49.4627

    M3 - Journal article

    VL - 49

    SP - 4627

    EP - 4636

    JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

    JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

    SN - 2470-0045

    IS - 5

    ER -