DEPOSITION-EVAPORATION STOCHASTIC-SYSTEMS IN 2 AND HIGHER DIMENSIONS

Citation
Nn. Chen et al., DEPOSITION-EVAPORATION STOCHASTIC-SYSTEMS IN 2 AND HIGHER DIMENSIONS, Journal of statistical physics, 78(3-4), 1995, pp. 971-1009
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
78
Issue
3-4
Year of publication
1995
Pages
971 - 1009
Database
ISI
SICI code
0022-4715(1995)78:3-4<971:DSI2AH>2.0.ZU;2-S
Abstract
We study the stochastic dynamics of deposition-evaporation cooperative processes of dimers, trimers, etc., in two- and higher-dimensional la ttices. The dimer system in bipartite lattices allows for an exact sol ution of dynamic correlations and scaling functions by means of a quan tum spin equivalence. Autocorrelations exhibit a diffusive asymptotic kinetics and crossovers of different dynamic regimes in highly anisotr opic lattices. Monte Carlo simulations combined with finite-size scali ng arguments support the validity of the diffusive picture in more gen eral situations. Steady-state coverages and diffusion constants are ob tained using mean-field approaches, spin wave calculations, and random walk analyses in nearly jammed configurations.