Relaxation kinetics of biological dimer adsorption models

Details Relaxation kinetics of biological dimer adsorption models Relaxation kinetics of biological dimer adsorption models

2001-08-17

arxiv.org/abs/cond-mat/0108285v1

Europhys. Lett. 56, 420-426 (2001)

Physics

Condensed Matter

Soft Condensed Matter

REVTeX, 6 pages, 5 figures; to appear in Europhys. Letters; a Java applet showing the simulation is accessible at http://www

Scientific paper

10.1209/epl/i2001-00535-4

We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by a power-law regime and finally exponential relaxation towards equilibrium. In all four regimes we give analytical solutions. The algebraic decay and the scaling behaviour can be explained by mapping onto a simple reaction-diffusion model. We show that there are several possibilities to define the autocorrelation function and that they all asymptotically show exponential decay, however with different time constants. Our findings remain valid if there is an attractive interaction between bound dimers.

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