Extended Kinetic Models with Waiting-Time Distributions: Exact Results

Details Extended Kinetic Models with Waiting-Time Distributions: Exact Results Extended Kinetic Models with Waiting-Time Distributions: Exact Results

2000-07-27

arxiv.org/abs/cond-mat/0007455v1

Physics

Condensed Matter

Statistical Mechanics

17 pages, 2 figures

Scientific paper

10.1063/1.1326912

Inspired by the need for effective stochastic models to describe the complex behavior of biological motor proteins that move on linear tracks exact results are derived for the velocity and dispersion of simple linear sequential models (or one-dimensional random walks) with general waiting-time distributions. The concept of ``mechanicity'' is introduced in order to conveniently quantify departures from simple ``chemical,'' kinetic rate processes, and its significance is briefly indicated. The results are extended to more elaborate models that have finite side-branches and include death processes (to represent the detachment of a motor from the track).

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