Relaxation kinetics of biological dimer adsorption models

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dc.creatorVilfan, Andrej
dc.creatorFrey, Erwin
dc.creatorSchwabl, Franz
dc.date2001-08-17
dc.date.accessioned2026-07-07T06:30:51Z
dc.date.available2026-07-07T06:30:51Z
dc.descriptionWe 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.
dc.descriptionREVTeX, 6 pages, 5 figures; to appear in Europhys. Letters; a Java applet showing the simulation is accessible at http://www.ph.tum.de/~avilfan/relax
dc.identifierhttps://arxiv.org/abs/cond-mat/0108285
dc.identifierhttp://arxiv.org/abs/cond-mat/0108285
dc.identifierEurophys. Lett. 56, 420-426 (2001)
dc.identifierdoi:10.1209/epl/i2001-00535-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98448
dc.subjectSoft Condensed Matter
dc.subjectBiological Physics
dc.subjectQuantitative Biology
dc.titleRelaxation kinetics of biological dimer adsorption models
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