Extended Standard Map with Spatio-Temporal Asymmetry

Details Extended Standard Map with Spatio-Temporal Asymmetry Extended Standard Map with Spatio-Temporal Asymmetry

2002-03-12

arxiv.org/abs/cond-mat/0203241v1

Journal of the Physical Society of Japan, 72 (2003) 1087-1091

Physics

Condensed Matter

Statistical Mechanics

6 pages latex 2e with 12 epsf figs

Scientific paper

10.1143/JPSJ.72.1087

We analyze the transport properties of a set of symmetry-breaking extensions %, both spatial and temporal, of the Chirikov--Taylor Map. The spatial and temporal asymmetries result in the loss of periodicity in momentum direction in the phase space dynamics, enabling the asymmetric diffusion which is the origin of the unidirectional motion. The simplicity of the model makes the calculation of the global dynamical properties of the system feasible both in phase space and in controlling-parameter space. We present the results of numerical experiments which show the intricate dependence of the asymmetric diffusion to the controlling parameters.

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