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VOLUME 60 (1994) | ISSUE 1 | PAGE 24
Numerical simulation of the critical dynamics of disordered 2D Ising systems
Critical relaxation of the magnetization has been studied by numerical simulation in the 2D Ising model with nonmagnetic impurity atoms frozen in lattice sites. A square lattice with dimensions of 4002 was studied at spin concentrations ρ = 1.0, 0.95, 0.9, 0.85, 0.8, 0.75, and 0.7. The dynamic critical exponent ζ was determined by the Monte Carlo method and the dynamic renormalization-group method. The following values were found for z(p): z(l) = 2.24±0.07, z(0.95)=2.24±0.06, z(0.9) = 2.24±0.06, z(0.85) = 2.38±0.05, z(0.8)=2.51±0.06, z(0.75)=2.66±0.07, and z(0.7) = 2.88±0.06. A singular scaling of the exponent was found: z=A' \\n(p~pc)\ +B' with the constants A' =0.56±0.07 and B' = 1.62+0.07.