Diffusion by extrinsic noise in a two-dimensional anisotropic web mapping.
Diffusion by an extrinsic noise is studied in a two-dimensional anisotropic web mapping where the intrinsic web diffusion is negligible, diffusion in one direction is dominant over the other, and the extrinsic noise enters in the dominant dimension only. It is found that the diffusion scaling is governed by the competition between the extrinsic noise and the intrinsic rotation. If the extrinsic noise is weaker than the intrinsic rotation, diffusion scales as lK(1/2) in the dominant direction and as lK(3/2) in the nondominant direction, where l is the extrinsic noise strength and K is the intrinsic perturbation parameter. If the extrinsic noise is stronger, diffusion behaves as l(2)/2 in the dominant direction and as K(2)/4 in the nondominant direction. Diffusion in the nondominant direction can be important if the equilibrium system is translationally invariant in the dominant direction.
Park
G
G
Physics Department, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yuseong-ku, Taejon 305-701, Korea.
Chang
C S
CS