Streaminglike diffusion in the low-dimensional stochastic pump model.

Abstract

In this paper we analyze a diffusion phenomenon in a few-dimensional Hamiltonian system of coupled mappings in which the principal component of diffusion occurs along resonances. The result is that the diffusion can have power-law dependence in coupling parameter mu and be independent of the stochastic parameter K. For the same range of parameters, the usual analytical Arnold diffusion across resonances is dependent on K and can be much smaller than resonance streaming diffusion. The results are used to qualitatively explain recent results in multidimensional coupled standard maps.