Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-01-25
Physics
Condensed Matter
Statistical Mechanics
10 pages, 7 figures, 2 tables. NB: Supplementary material may be found in the downloadable source files
Scientific paper
An increasing number of experimental studies employ single particle tracking to probe the physical environment in complex systems. We here propose and discuss new methods to analyze the time series of the particle traces, in particular, for subdiffusion phenomena. We discuss the statistical properties of mean maximal excursions, i.e., the maximal distance covered by a test particle up to time t. Compared to traditional methods focusing on the mean squared displacement we show that the mean maximal excursion analysis performs better in the determination of the anomalous diffusion exponent. We also demonstrate that combination of regular moments with moments of the mean maximal excursion method provides additional criteria to determine the exact physical nature of the underlying stochastic subdiffusion processes. We put the methods to test using experimental data as well as simulated time series from different models for normal and anomalous dynamics, such as diffusion on fractals, continuous time random walks, and fractional Brownian motion.
Benichou Olivier
Jungmann Ralf
Metzler Ralf
Oddershede Lene B.
Selhuber-Unkel Christine
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