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Dynamics of excitation in systems with a randomly modulated decay channel

Author

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  • Chvosta, Petr
  • Aslangul, Claude
  • Pottier, Noëlle
  • Saint-James, Daniel

Abstract

We have investigated the kinetics of excitation in the frame of the conventional Pauli master equation for a molecular aggregate with a decay channel attached to one distinguished molecule (or site). As a principally new feature we assume the rate of probability flow through the decay channel to be a randomly modulated function of time. The modulation is described by a Markoff stochastic process and we do not invoke the white-noise assumption. An exact calculation is given for a broad family of stochastic processes which bridges (and includes) the asymmetric random telegraph signal and the Gaussian process. The general method is then applied in three physically relevant situations: one-molecule aggregate, cyclic-antenna system and infinite linear chain. In these models, we discuss the site-occupation probabilities, the aggregate-excitation function and the mean de-excitation time.

Suggested Citation

  • Chvosta, Petr & Aslangul, Claude & Pottier, Noëlle & Saint-James, Daniel, 1992. "Dynamics of excitation in systems with a randomly modulated decay channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(1), pages 143-168.
    • Handle: RePEc:eee:phsmap:v:184:y:1992:i:1:p:143-168
    DOI: 10.1016/0378-4371(92)90163-K
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