Jim Lutsko

Jim Lutsko

My interests include Statistical Physics; Crystallization; Density Functional Theory, Simulation methods - particularly rare event techniques, Protein physics, Granular physics and Crystal Growth. I am based in the Physics of Complex Systems and Statistical Mechanics group at the Universite Libre de Bruxelles.

[095] Molecular theory of anomalous diffusion - Application to Fluorescence Correlation Spectroscopy

Jean Pierre Boon and James F. Lutsko, "Molecular theory of anomalous diffusion - Application to Fluorescence Correlation Spectroscopy", J. Stat. Phys., 160, 622 (2015) http://jimlutsko.github.io/files/Lutsko_JSP_2015.pdf

Abstract

The nonlinear theory of anomalous diffusion is based on particle interactions giving an explicit microscopic description of diffusive processes leading to sub-, normal, or super-diffusion as a result competitive effects between attractive and repulsive interactions. We present the explicit analytical solution to the nonlinear diffusion equation which we then use to compute the correlation function which is experimentally measured by correlation spectroscopy. The theoretical results are applicable in particular to the analysis of fluorescence correlation spectroscopy of marked molecules in biological systems. More specifically we consider the case of fluorescently labeled lipids and we find that the nonlinear correlation spectrum reproduces very well the experimental data indicating sub-diffusive molecular motion of lipid molecules in the cell membrane.