Random sequential addition of hard atoms to the one-dimensional integer lattice
- 15 August 1973
- journal article
- conference paper
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 59 (4) , 1613-1615
- https://doi.org/10.1063/1.1680240
Abstract
This paper considers the random sequential addition of atoms of different sizes and distinguishable types to the one-dimensional integer lattice (linear chain sites). In such a situation the different processes are competing for space on the lattice, and after a sufficiently long time has elapsed the chain will consist of a linear array of different atoms, in which configuration it will remain forever, since none of the processes is reversible. We present results which enable the proportion of sites occupied by each type of atom to be calculated: (a) numerically from a set of difference equations as a function of the chain length and (b) analytically, for a simplified model and infinite chain length.Keywords
This publication has 8 references indexed in Scilit:
- Conditional Poisson processesJournal of Applied Probability, 1972
- Sequential Adsorption of Large Immobile Atoms on the Continuum and Regular LatticesThe Journal of Chemical Physics, 1970
- Equilibrium Distribution of Dimers in Irradiated RNA MoleculesJournal of the Physics Society Japan, 1970
- Kinetics of Photochemical Reactions in RNA MoleculesJournal of the Physics Society Japan, 1967
- Random Sequential Addition of Hard Spheres to a VolumeThe Journal of Chemical Physics, 1966
- Kinetics of Reactant Isolation. I. One-Dimensional ProblemsThe Journal of Chemical Physics, 1963
- The Distribution of Vacancies on a LineJournal of the Royal Statistical Society Series B: Statistical Methodology, 1959
- Intramolecular Reaction between Neighboring Substituents of Vinyl PolymersJournal of the American Chemical Society, 1939