The exact probability distribution of saturating states in random sequential adsorption

Details The exact probability distribution of saturating states in random sequential adsorption The exact probability distribution of saturating states in random sequential adsorption

2008-10-31

arxiv.org/abs/0810.5632v2

Physics

Condensed Matter

Statistical Mechanics

4 pages Comments: Fig. 1 was not properly drawn. it has been revised

Scientific paper

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.

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