Kinetic models of self-organization effects in lattice systems

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

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish
Pages (from-to)349-373
Number of pages25
JournalPhysica A: Statistical Mechanics and its Applications
Issue number3-4
StatePublished - 15 Nov 1998

Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


  • Adsorption
  • Lattice gas
  • Nanostructures
  • Self-organization

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