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Nonlinear and stochastic modelling of energy transfer in Scheibe aggregates

Author

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  • Rasmussen, K.Ø.
  • Gaididei, Yu.B.
  • Bang, O.
  • Christiansen, P.L.

Abstract

The oxacyanine Scheibe aggregate is modelled by a two-dimensional cubic nonlinear Schrödinger equation with multiplicative noise, accounting for thermal fluctuations. For a possible choice of the physical parameters collapse of the initial state representing the Möbius-Kuhn coherent exciton may occur. The collapse time then increases with temperature. From experimental observations Möbius and Kuhn find a lifetime of the exciton which also increases with temperature. We finally consider soliton motion close to an impurity representing the acceptor molecule in the Scheibe aggregate.

Suggested Citation

  • Rasmussen, K.Ø. & Gaididei, Yu.B. & Bang, O. & Christiansen, P.L., 1996. "Nonlinear and stochastic modelling of energy transfer in Scheibe aggregates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 40(3), pages 339-358.
    • Handle: RePEc:eee:matcom:v:40:y:1996:i:3:p:339-358
    DOI: 10.1016/0378-4754(95)00042-9
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    Cited by:

    1. Arnaud Debussche & Eric Gautier, 2005. "Small Noise Asymptotic of the Timing Jitter in Soliton Transmission," Working Papers 2005-20, Center for Research in Economics and Statistics.
    2. Gautier, Eric, 2005. "Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise," Stochastic Processes and their Applications, Elsevier, vol. 115(12), pages 1904-1927, December.

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