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arXiv · 0803.3761

Anomalous Diffusion In Microrheology: A Comparative Study

I. Santamaria-Holek
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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.

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I. Santamaria-Holek. 2008-03-26. Anomalous Diffusion In Microrheology: A Comparative Study. https://doi.org/10.1063/1.2897876

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