Topological analysis of chaotic transport through a ballistic atom pump.
Topological analysis of chaotic transport through a ballistic atom pump.
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通过弹道原子泵的混沌传输的拓扑分析。
DOI：
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发表时间：
2014
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通讯作者：
J. Delos
中科院分区：
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作者：
T. Byrd;J. Delos
我们研究了一个由两个由通道连接的颗粒储存库组成的系统。在通道中有两个振荡的排斥势能垒。众所周知，即使当储罐中的化学势相等时，这样的系统也可以将颗粒从一个储罐输送到另一个储罐。我们利用计算和混沌输运理论来研究这个系统。混沌传输用绕过或穿过异宿缠结的通道来描述。利用同伦波瓣动力学的推广描述了缠绕的拓扑性质，该理论从短时行为的性质给出了中间时间行为的一些性质。我们将这些预测性质与轨迹的直接计算进行了比较。
We examine a system consisting of two reservoirs of particles connected by a channel. In the channel are two oscillating repulsive potential-energy barriers. It is known that such a system can transport particles from one reservoir to the other, even when the chemical potentials in the reservoirs are equal. We use computations and the theory of chaotic transport to study this system. Chaotic transport is described by passage around or through a heteroclinic tangle. Topological properties of the tangle are described using a generalization of homotopic lobe dynamics, which is a theory that gives some properties of intermediate-time behavior from properties of short-time behavior. We compare these predicted properties with direct computation of trajectories.