Adiabatic divergence of the chaotic layer width and acceleration of chaotic and noise-induced transport

作者：Soskin S M; Mannella R^*; Yevtushenko O M

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(1): 16-23.

DOI：10.1016/j.cnsns.2008.06.025

• Adiabatic
• Chaos
• Transport
• Noise
• Diffusion
• Threshold

We show that, in spatially periodic Hamiltonian systems driven by a time-periodic coordinate-independent (AC) force, the upper energy of the chaotic layer grows unlimitedly as the frequency of the force goes to zero. This remarkable effect is absent in any other physically significant systems. It gives rise to the divergence of the rite of the spatial chaotic transport. We also generalize this phenomenon for the presence of a weak noise and weak dissipation. We demonstrate for the latter case that the adiabatic AC force may greatly accelerate the spatial diffusion and the reset rate at a given threshold.

• 出版日期2010-1