Abstract
We study the asymptotic coverage of a lattice to which particles are randomly and irreversibly attached, under the constraint of nearest neighbor exclusion. After reviewing the case of a one-dimensional lattice, we extend the treatment first to a triangular ladder and then to a square ladder. The former maps onto a previously solved one-dimensional case, the latter does not. We also determine the time-dependent coverage of the square ladder. Implications as to the process on a full 2-dimensional square lattice are discussed.
Original language | English (US) |
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Pages (from-to) | 263-271 |
Number of pages | 9 |
Journal | Journal of Statistical Physics |
Volume | 66 |
Issue number | 1-2 |
DOIs | |
State | Published - Jan 1992 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics