Intermittent Brownian Dynamics over Strands
P. Levitz
PMC, Ecole Polytechnique-CNRS, Route de Saclay, Palaiseau, 91128 France.
E-mail: levitz@pmc.polytechnique.fr
1. Introduction
Intermittent dynamics is intrinsically involved for particles or molecules
exploring confining interfacial systems such as porous material, colloidal suspension and
catalytic surfaces. Periods of relocation in the bulk phase or in the pore network (bridges)
alternate with adsorption or trapping steps generally located nearby the interface (cf. Fig
1A). A representative example concerns the search for a specific target site on DNA by a
protein, which alternates adsorption or scanning phases where the protein diffuses on the
DNA strand and three-dimensional bulk excursions or relocations [1]. A better
understanding of such dynamics is needed in order, for example, to optimize the
intermittent search strategy [2]. Recently [3], we have proposed a theoretical analysis of
field cycling NMR dispersion technique (NMRD) experiments allowing to probe the
time/frequency dependence of relocation steps [4] and adsorption periods of an
intermittent fluid dynamics near an interface. In this communication, we consider the
Brownian dynamics of a fluid molecule over thin and very long mineral strands having a
diameter of about 3 nm. Experiments are compared with numerical simulations and
theoretical derivation.
2. Probing relocation statistics over strands by NMR relaxometry
A B
Fig.1: A: Intermittent Brownian dynamics over a strand. A and B stand for the Adsorption
step and the Relocation (Brigde statistics). B: Frequency dependence of the spin-lattice
relaxation rate in diluted suspension of imogolite. Full squares: experimental results.
Dotted line: Brownian dynamics numerical simulation.
In the following, we consider the case of imogolite particles in very diluted
suspensions. Imogolite are thin and very long cylinders having a diameter similar to DNA
1
The Open-Access Journal for the Basic Principles of Diffusion Theory, Experiment and Application
© 2007, P. Levitz
Diffusion Fundamentals 6 (2007) 78.1 - 78.2