Jamming and kinetics of deposition-evaporation systems and associated quantum spin models
- 22 February 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (8) , 1033-1036
- https://doi.org/10.1103/physrevlett.70.1033
Abstract
A class of models of deposition and evaporation of dimers, trimers,..., k-mers is studied analytically and by simulation. Correlation functions decay as power laws in time, related to broken symmetries in associated spin Hamiltonians. For k≥3, the number of jammed and evolving steady states increases exponentially with size. Finite size scaling studies support a phenomenological diffusive picture for dynamics and indicate universality over k in many subspaces.Keywords
This publication has 10 references indexed in Scilit:
- Random sequential adsorption with particle coordination rulesPhysical Review Letters, 1992
- The dimer-trimer model for heterogeneous catalysisJournal of Statistical Physics, 1991
- KINETICS OF IRREVERSIBLE MONOLAYER AND MULTILAYER ADSORPTIONInternational Journal of Modern Physics B, 1991
- Cooperative adsorption-desorption models with random steady statesPhysical Review A, 1989
- Quantum spin chains and the Haldane gapJournal of Physics: Condensed Matter, 1989
- Nonequilibrium critical poisoning in a single-species modelPhysics Letters A, 1988
- Kinetic Phase Transitions in an Irreversible Surface-Reaction ModelPhysical Review Letters, 1986
- Potassium conductance models related to an interactive subunit membraneThe Journal of Membrane Biology, 1974
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1971
- Intramolecular Reaction between Neighboring Substituents of Vinyl PolymersJournal of the American Chemical Society, 1939