The overall picture thus corresponds to a Brownian oscillator type dynamics,and is markedly non-Markovian

http://k2.chem.uh.edu/preprints/SimBioMa-07-semicon.pdf

If the phonon distribution of the model Eq. (8) spans a dense spectrum – as

is generally the case for the extended systems under consideration, which are

e

ffectively infinite-dimensional – the dynamics induced by the Hamiltonian

will eventually exhibit a dissipative character. However, the e

ffective-mode

construction demonstrates that the shortest time scales are fully determined

by

few effective modes, and by the coherent dynamics induced by these modes.

The overall picture thus corresponds to a Brownian oscillator type dynamics,

and is markedly non-Markovian