Title

Sluggish kinetics in the parking lot model

DOI

10.1088/0305-4470/32/16/008

Document Type

Journal Article

Publication Date

4-23-1999

Publication Title

Journal of Physics A: Mathematical and General

Volume

32

Issue

16

First Page

2997

Last Page

3003

ISSN

3054470

Abstract

We investigate, both analytically and by computer simulation, the kinetics of a microscopic model of hard rods adsorbing on a linear substrate. For a small, but finite desorption rate, the system reaches the equilibrium state very slowly, and the long-time kinetics display three successive regimes: an algebraic one where the density varies as 1/t, a logarithmic one where the density varies as 1/ln(t), followed by a terminal exponential approach. A mean-Held approach fails to predict the relaxation rate associated with the latter. We show that the correct answer can only be provided by using a systematic description based on a gap-distribution approach.

Open Access

Green Accepted

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