Kinetic models of self-organization effects in lattice systems

V.G. Dubrovskii, G.E. Cirlin, D.A. Bauman, V.V. Kozachek and V.V. Mareev

Physica A: Statistical Mechanics and its Applications, 1998, vol. 260, issue 3, 349-373

Abstract: A non-linear model for time-dependent occupation of lattice gas sites is studied. A self-consistent approximation for the diffusion operator is proposed and studied in discrete and continual forms. It is shown that self-organization effects in the spinodal region lead to a spontaneous transformation of an unstable uniform ground state into an array of self-assembled islands. The relationship between the model and the theory of first-order phase transitions is discussed. The model is applied to the study of self-organization in three-dimensional adsorbates with attractive lateral interactions. A special emphasis is given to the description of a spontaneous islanding during molecular beam epitaxy and related growth techniques. It is shown that the kinetic parameters strongly influence the morphology of space-ordered configurations of the system.

Keywords: Self-organization; Nanostructures; Adsorption; Lattice gas (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:260:y:1998:i:3:p:349-373

DOI: 10.1016/S0378-4371(98)00275-1

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