Diffusion on two space and time scales

Abstract
Diffusion is explored in a two-dimensional phase space in which a connected separatrix layer (web) of intrinsic stochasticity bounds regions of regular motion (tiles). In the presence of weak extrinsic noise, if the web diffusion dominates, the noise slows the web diffusion rate; if the extrinsic diffusion dominates, the diffusion is enhanced. The diffusion is characterized by two space and time scales. For a local-equilibrium model analytic calculations agree well with numerical results.

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