First passage time of N excluded volume particles on a line

Details First passage time of N excluded volume particles on a line First passage time of N excluded volume particles on a line

2005-08-24

arxiv.org/abs/cond-mat/0508579v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, REVTeX, 6 eps figures

Scientific paper

10.1103/PhysRevE.72.041102

Motivated by recent single molecule studies of proteins sliding on a DNA molecule, we explore the targeting dynamics of N particles ("proteins") sliding diffusively along a line ("DNA") in search of their target site (specific target sequence). At lower particle densities, one observes an expected reduction of the mean first passage time proportional to 1/N**2, with corrections at higher concentrations. We explicitly take adsorption and desorption effects, to and from the DNA, into account. For this general case, we also consider finite size effects, when the continuum approximation based on the number density of particles, breaks down. Moreover, we address the first passage time problem of a tagged particle diffusing among other particles.

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