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We discuss the relaxation kinetics of a one-dimensional dimer adsorptionmodel as recently proposed for the binding of biological dimers like kinesin onmicrotubules. The non-equilibrium dynamics shows several regimes: irreversibleadsorption on short time scales, an intermediate plateau followed by apower-law regime and finally exponential relaxation towards equilibrium. In allfour regimes we give analytical solutions. The algebraic decay and the scalingbehaviour can be explained by mapping onto a simple reaction-diffusion model.We show that there are several possibilities to define the autocorrelationfunction and that they all asymptotically show exponential decay, however withdifferent time constants. Our findings remain valid if there is an attractiveinteraction between bound dimers.

Relaxation kinetics of biological dimer adsorption models