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Phase transition in diffusion-limited aggregation with two immiscible components
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A diffusion-limited-aggregation (DLA) model with two immiscible components (A and B atoms) is presented to investigate a phase transition in morphological changes. A segregation occurs where the DLA pattern is constructed by a mixture of trees consisting of only A atoms and trees consisting of only B atoms. Above a critical concentration
p
c
, trees with only A atoms exceed trees with only B atoms, and the DLA with only A atoms dominates. It is found that a phase transiton between A-DLA and B-DLA occurs at the critical concentration
p
c
, where A-DLA and B-DLA represent, respectively, DLA with only A atoms and DLA with only B atoms. The phase transition is analyzed by making use of the real-space renormalization-group method. The correlation length ξ scales as ξ≊(p-
p
c
)
−
ν
, where
p
c
=0.5 and ν=1.85 on the square lattice
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NAGATANI, Takashi and SAGUÉS I MESTRE, Francesc. Phase transition in diffusion-limited aggregation with two immiscible components. Physical Review A. 1991. Vol. 44, num. 10, pags. 6723-6729. ISSN 1050-2947. [consulted: 24 of June of 2026]. Available at: https://hdl.handle.net/2445/9547