Spectral random walk of a single molecule

G. Zumofen*, J. Klafter

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate the fluctuations in the transition energy of a single molecule embedded in a solid. We propose a model based on spatially distributed two-level systems with internal dynamics which induce the fluctuations due to long-range interactions with the single molecule. We show that the transition energies follow a spectral random walk which can be analyzed in terms of random walk theories. The corresponding spectral propagator is derived and its relationship to stable distributions is established. For the particular case of dipole interactions in a three-dimensional system the Cauchy distribution is recovered.

Original languageEnglish
Pages (from-to)303-309
Number of pages7
JournalChemical Physics Letters
Issue number3-4
StatePublished - 4 Mar 1994


Dive into the research topics of 'Spectral random walk of a single molecule'. Together they form a unique fingerprint.

Cite this