Diffusion in a two-dimensional anisotropic web map by extrinsic noise applied to the intrinsically perturbed quantity

Abstract

Diffusion by an extrinsic noise in a two-dimensional anisotropic web mapping is studied in the case where an extrinsic noise is applied to the intrinsically perturbed (intrinsically active) physical quantity and the intrinsic web diffusion is negligible. Contrary to the case where the extrinsic noise is applied to the other (intrinsically passive) physical quantity to yield a highly anisotropic diffusion scaling [Gunyoung Park and C. S. Chang, Phys. Rev. E 64, 026211 (2001)], the diffusion scaling in this case is found to be isotropic.