Abstract
We study the stochastic dynamics of deposition-evaporation cooperative processes of dimers, trimers, etc., in two- and higher-dimensional lattices. The dimer system in bipartite lattices allows for an exact solution of dynamic correlations and scaling functions by means of a quantum spin equivalence. Autocorrelations exhibit a diffusive asymptotic kinetics and crossovers of different dynamic regimes in highly anisotropic lattices. Monte Carlo simulations combined with finite-size scaling arguments support the validity of the diffusive picture in more general situations. Steady-state coverages and diffusion constants are obtained using mean-field approaches, spin wave calculations, and random walk analyses in nearly jammed configurations.
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Chen, NN., Grynberg, M.D. & Stinchcombe, R.B. Deposition-evaporation stochastic systems in two and higher dimensions. J Stat Phys 78, 971–1009 (1995). https://doi.org/10.1007/BF02183697
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DOI: https://doi.org/10.1007/BF02183697