Dana Itzhack, Roitberg Vladislav B
Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):066213. doi: 10.1103/PhysRevE.83.066213. Epub 2011 Jun 29.
Classical Hamiltonian systems with a mixed phase space and some asymmetry may exhibit chaotic ratchet effects. The most significant such effect is a directed momentum current or acceleration. In known model systems, this effect may arise only for sufficiently strong chaos. In this paper, a Hamiltonian ratchet accelerator is introduced, featuring a momentum current for arbitrarily weak chaos. The system is a realistic, generalized kicked rotor and is exactly solvable to some extent, leading to analytical expressions for the momentum current. While this current arises also for relatively strong chaos, the maximal current is shown to occur, at least in one case, precisely in a limit of arbitrarily weak chaos.
具有混合相空间和一定不对称性的经典哈密顿系统可能会表现出混沌棘轮效应。其中最显著的此类效应是定向动量流或加速度。在已知的模型系统中，这种效应仅在足够强的混沌情况下才会出现。在本文中，引入了一种哈密顿棘轮加速器，其具有在任意弱混沌情况下的动量流。该系统是一个现实的、广义的受踢转子，并且在一定程度上是精确可解的，从而得到了动量流的解析表达式。虽然这种流在相对强的混沌情况下也会出现，但至少在一种情况下，最大流恰好出现在任意弱混沌的极限情况下。
