TY - JOUR

T1 - Phase transition of binary-component DLA (diffusion-limited aggregation)-SQL (square lattice) system contacted with thermal bath in the perimeter

AU - Yamazaki, Yoshitake

AU - Holz, Arno

AU - Fukuda, Yoshiichi

AU - Matsushita, Mitsugu

AU - Kondho, Hiroshi

AU - Hayakawa, Yoshinori

PY - 1988/12/1

Y1 - 1988/12/1

N2 - To make the DLA model associate with more realistic processes of crystal growth, the authors construct and study a new model including the experimental variables required. Diffusion particles of multicomponents diffuse on the square lattice as in the DLA model; the aggregation perimeter contacts with a thermal bath of temperature T and the sticking probability P consists of a constant probability Pc and the thermal one Pt at a neighbouring site of the perimeter, as P=(1- alpha )Pc+ alpha Pt ( alpha is a parameter which includes the non-equilibrium-equilibrium tendency of the system). Pt is evaluated by the thermodynamic distribution of the Ising system including up to next-nearest-neighbour interactions and chemical potentials. The system has the possibility of phase transitions. They show the phase transitions, aggregation patterns, correlation functions, fractal dimensions, and so on.

AB - To make the DLA model associate with more realistic processes of crystal growth, the authors construct and study a new model including the experimental variables required. Diffusion particles of multicomponents diffuse on the square lattice as in the DLA model; the aggregation perimeter contacts with a thermal bath of temperature T and the sticking probability P consists of a constant probability Pc and the thermal one Pt at a neighbouring site of the perimeter, as P=(1- alpha )Pc+ alpha Pt ( alpha is a parameter which includes the non-equilibrium-equilibrium tendency of the system). Pt is evaluated by the thermodynamic distribution of the Ising system including up to next-nearest-neighbour interactions and chemical potentials. The system has the possibility of phase transitions. They show the phase transitions, aggregation patterns, correlation functions, fractal dimensions, and so on.

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U2 - 10.1088/0305-4470/21/20/012

DO - 10.1088/0305-4470/21/20/012

M3 - Article

AN - SCOPUS:0011714053

VL - 21

SP - 3927

EP - 3938

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 20

M1 - 012

ER -