Dynamical phase transition in a lattice gas model with aggregation and self-organization

Yuriy G. Gordienko and Elena E. Zasimchuk

Physica A: Statistical Mechanics and its Applications, 1996, vol. 229, issue 3, 540-551

Abstract: The cellular automaton model is used to simulate diffusion (with activation migration energy Em) and aggregation (with full capture and binding energy Eb) of point particles in 2D. A sharp dynamical phase transition is found that separates a dynamical phase (with many small aggregates and mobile particles, which are homogeneously distributed) and a static phase (with few big pile-ups of aggregates and many immobile particles, which are inhomogeneously distributed). It is similar to the Biham-Levine-Middleton jamming transition (O. Biham, A.A. Middleton and D. Levine, Phys. Rev. A 46 (1992) R6124), which is a function of the particle concentration. In addition to this, we found that the transition is a function of balance between energies Em and Eb. The main parameters, namely, concentration of free movable particles, the number of aggregates, the number of pile-ups of aggregates, undergo sharp changes in the narrow range of κ = exp ((Eb −Em)kBT). Self-organization effects and mechanisms of selection between inhomogeneities are studied and discussed. Manifestations of the transition in real physical systems (two-dimensional surface nanostructures, non-crystallographic defect structures, stone ripples, etc.) are discussed.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:229:y:1996:i:3:p:540-551

DOI: 10.1016/0378-4371(96)00022-2

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