Inhomogeneous random sequential adsorption on a lattice

Journal Article · Tue Jun 01 04:00:00 EDT 1993 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01049968· OSTI ID:5919270

Percus, J K ^[1]

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1. New York Univ., New York (United States)

In this work, the authors study idealized random sequential adsorption on a lattice, with adsorption probabilities inhomogeneous both in space and in time, and including the possibility of cooperativity. Attention is directed to the mean occupancy of a given site as a function of time, which is represented by a weighted random walk on the lattice. In the special case of nearest neighbor exclusion, the walk is transformed to one in which only neighbors of occupied sites can be occupied, but with a renormalized probability. Reduction theorems are presented, with which the general case of a tree lattice is completely solved in inverse form. 9 refs., 4 figs.

• OSTI ID: 5919270
• Journal Information: Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 71:5-6; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

661300 -- Other Aspects of Physical Science-- (1992-)
662100* -- General Theory of Particles & Fields-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ADSORPTION
CRYSTAL LATTICES
CRYSTAL STRUCTURE
FIELD THEORIES
LATTICE FIELD THEORY
MECHANICS
PARTICLE KINEMATICS
PROBABILITY
QUANTUM FIELD THEORY
RANDOMNESS
RENORMALIZATION
SORPTION
STATISTICAL MECHANICS