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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.
Original language | English |
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Pages (from-to) | 349-373 |
Number of pages | 25 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 260 |
Issue number | 3-4 |
DOIs | |
State | Published - 15 Nov 1998 |
ID: 74831569