The exact probability distribution of saturating states in random sequential adsorption
Statistical Mechanics
2008-12-03 v2 Mathematical Physics
math.MP
Abstract
We consider the non-overlapping irreversible random sequential adsorption (RSA) process on one-dimensional finite line, which is known also as the car parking process. The probability of each coverage in saturating states is analytically and exactly obtained. In the derivation, a new representation of states in RSA process is introduced, which effectively works to make the calculation clear and simple.
Keywords
Cite
@article{arxiv.0810.5632,
title = {The exact probability distribution of saturating states in random sequential adsorption},
author = {Masatomo Iwasa and Kyohei Fukuda},
journal= {arXiv preprint arXiv:0810.5632},
year = {2008}
}
Comments
4 pages Comments: Fig. 1 was not properly drawn. it has been revised