By an exact renormalization method the trail problem on a regular fractal for the diffusion-limited aggregation is considered,and the mean square end-toend distance critical exponent v is obtained.It is indicated that...By an exact renormalization method the trail problem on a regular fractal for the diffusion-limited aggregation is considered,and the mean square end-toend distance critical exponent v is obtained.It is indicated that self-avoiding trails and self-avoiding walks are in different universality classes on this irreversible kinetic growth fractal.展开更多
基金supported by the Chinese Foundation of Doctor Education.
文摘By an exact renormalization method the trail problem on a regular fractal for the diffusion-limited aggregation is considered,and the mean square end-toend distance critical exponent v is obtained.It is indicated that self-avoiding trails and self-avoiding walks are in different universality classes on this irreversible kinetic growth fractal.