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Phys. Rev. Lett. 93, 180603 (2004) [4 pages]

Generalized Langevin Equation with Fractional Gaussian Noise: Subdiffusion within a Single Protein Molecule

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S. C. Kou and X. Sunney Xie
Department of Statistics and Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA

Received 19 June 2004; published 29 October 2004

By introducing fractional Gaussian noise into the generalized Langevin equation, the subdiffusion of a particle can be described as a stationary Gaussian process with analytical tractability. This model is capable of explaining the equilibrium fluctuation of the distance between an electron transfer donor and acceptor pair within a protein that spans a broad range of time scales, and is in excellent agreement with a single-molecule experiment.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.180603
DOI:
10.1103/PhysRevLett.93.180603
PACS:
05.40.–a, 47.53.+n, 82.60.–s, 87.15.He