Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-02-23
Physics
Condensed Matter
Soft Condensed Matter
v2: substantially revised version, new treatment of localized regime, 19 pages, 10 figures
Scientific paper
10.1103/PhysRevE.76.041405
The dynamics of particles interacting by key-lock binding of attached biomolecules are studied theoretically. Experimental realizations of such systems include colloids grafted with complementary single-stranded DNA (ssDNA), and particles grafted with antibodies to cell-membrane proteins. Depending on the coverage of the functional groups, we predict two distinct regimes. In the low coverage localized regime, there is an exponential distribution of departure times. As the coverage is increased the system enters a diffusive regime resulting from the interplay of particle desorption and diffusion. This interplay leads to much longer bound state lifetimes, a phenomenon qualitatively similar to aging in glassy systems. The diffusion behavior is analogous to dispersive transport in disordered semiconductors: depending on the interaction parameters it may range from a finite renormalization of the diffusion coefficient to anomalous, subdiffusive behavior. We make connections to recent experiments and discuss the implications for future studies.
Licata Nicholas A.
Tkachenko Alexei V.
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