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Related Experiment Videos

Diffusion by extrinsic noise in a two-dimensional anisotropic web mapping.

G Park1, C S Chang

  • 1Physics Department, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yuseong-ku, Taejon 305-701, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2001
PubMed
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Extrinsic noise in anisotropic web mappings shows complex diffusion scaling. The interplay between noise strength and intrinsic rotation dictates diffusion behavior in dominant and nondominant directions.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Anisotropic web mappings exhibit complex dynamical behaviors.
  • Understanding diffusion in systems with both intrinsic and extrinsic factors is crucial.

Purpose of the Study:

  • To investigate diffusion scaling in a 2D anisotropic web mapping with extrinsic noise.
  • To analyze the influence of extrinsic noise strength versus intrinsic rotation on diffusion.

Main Methods:

  • Studied a two-dimensional anisotropic web mapping model.
  • Introduced extrinsic noise in the dominant diffusion dimension.
  • Analyzed diffusion scaling under varying noise (l) and perturbation (K) parameters.

Main Results:

Related Experiment Videos

  • Diffusion scaling depends on the competition between extrinsic noise (l) and intrinsic rotation (K).
  • For weaker noise (l < K), dominant direction scales as lK^(1/2), nondominant as lK^(3/2).
  • For stronger noise (l > K), dominant direction scales as l^2/2, nondominant as K^2/4.

Conclusions:

  • Extrinsic noise significantly alters diffusion patterns in anisotropic systems.
  • Nondominant direction diffusion can become significant under specific conditions (translational invariance).
  • The study provides insights into noise-induced transport in complex dynamical systems.