The effect of memory in the stochastic master equation analyzed using the stochastic Liouville equation of motion. Electronic energy migration transfer between reorienting donor-donor, donor-acceptor chromophores

Pär Håkansson; Per-Olof Westlund

doi:10.1016/j.saa.2004.03.013

The effect of memory in the stochastic master equation analyzed using the stochastic Liouville equation of motion. Electronic energy migration transfer between reorienting donor-donor, donor-acceptor chromophores

Spectrochim Acta A Mol Biomol Spectrosc. 2005 Jan 1;61(1-2):299-304. doi: 10.1016/j.saa.2004.03.013.

Authors

Pär Håkansson¹, Per-Olof Westlund

Affiliation

¹ Department of Biophysical Chemistry, Umeå University, S-901 87 Umeå, Sweden.

PMID: 15556453
DOI: 10.1016/j.saa.2004.03.013

Abstract

This paper discusses the process of energy migration transfer within reorientating chromophores using the stochastic master equation (SME) and the stochastic Liouville equation (SLE) of motion. We have found that the SME over-estimates the rate of the energy migration compared to the SLE solution for a case of weakly interacting chromophores. This discrepancy between SME and SLE is caused by a memory effect occurring when fluctuations in the dipole-dipole Hamiltonian (H(t)) are on the same timescale as the intrinsic fast transverse relaxation rate characterized by (1/T(2)). Thus the timescale critical for energy-transfer experiments is T(2) approximately 10(-13) s. An extended SME is constructed, accounting for the memory effect of the dipole-dipole Hamiltonian dynamics. The influence of memory on the interpretation of experiments is discussed.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Electrons
Energy Transfer*
Models, Chemical*
Motion*
Probability
Stochastic Processes*