Anomalous Diffusion In Microrheology: A Comparative Study
Statistical Mechanics
2009-11-13 v1 Soft Condensed Matter
Abstract
We present a comparative study on two theoretical descriptions of microrheological experiments. Using a generalized Langevin equation (GLE), we analyze the origin of the power-law behavior of the main properties of a viscoelastic medium. Then, we discuss the equivalence of the GLE with a generalized Fokker-Planck equation (GFPE), and how more general GFPE's can be derived from a thermo-kinetic formalism. These complementary theories lead to a justification for the physical nature of the Hurst exponent of fractional kinetics. Theory is compared with experiments.
Keywords
Cite
@article{arxiv.0803.3761,
title = {Anomalous Diffusion In Microrheology: A Comparative Study},
author = {I. Santamaria-Holek},
journal= {arXiv preprint arXiv:0803.3761},
year = {2009}
}
Comments
7 pages, 3 figures