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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. 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.
    2. 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.

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