棘轮效应与混沌海中的输运岛
The ratchet effect and the transporting islands in the chaotic sea
摘要:
研究了经典确定性耗散系统中的定向输运。我们认为一般情况下的混合相空间,并表明,大棘轮电流可以产生感谢的存在下,在哈密顿极限,运输稳定岛屿嵌入在混乱的海洋。由于混沌和耗散的同时存在,电流的定常值与初始条件无关,除了具有非常小测量的初始状态。
英文摘要:
We study directed transport in a classical deterministic dissipative system. We consider the generic case of mixed phase space and show that large ratchet currents can be generated thanks to the presence, in the Hamiltonian limit, of transporting stability islands embedded in the chaotic sea. Due to the simultaneous presence of chaos and dissipation the stationary value of the current is independent of initial conditions, except for initial states with very small measure.
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