Inhomogeneous random sequential adsorption on a lattice

J. K. Percus

Research output: Contribution to journalArticlepeer-review

Abstract

We 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.

Original languageEnglish (US)
Pages (from-to)1201-1211
Number of pages11
JournalJournal of Statistical Physics
Volume71
Issue number5-6
DOIs
StatePublished - Jun 1993

Keywords

  • Random sequential adsorption
  • inverse response
  • irreversible kinetics nonuniform lattice
  • simply connected network

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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