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Showing 1 to 6 of 6 for “"chaotic transport"”.
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Statistical Modeling of Wave Chaotic Transport and Tunneling
… region in which the classical orbits are chaotic. We de- velop a quantitative theory for the statistics of energy level splittings for symmetric chaotic wells separated by a tunneling barrier. Our theory is based on the ran- dom plane wave hypothesis. While the fluctuation statistics are …
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Chaotic transport by a turnstile mechanism in 4D symplectic maps
… as Hamiltonian systems. In such systems, the transport between different regions of phase space determines some of their most important properties like the stability of the solar system and the rate of chemical reactions. While the transport in lower-dimensional systems with two degrees of …
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Geometric Approaches in Phase Space Transport and Partial Control of Escaping Dynamics
… presents geometric approaches of understanding chaotic transport in phase space that is fundamental across many disciplines in physical sciences and engineering. This approach is based on analyzing phase space transport using boundaries and regions inside these boundaries in presence of …
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Multiple Gravity Assists for Low Energy Transport in the Planar Circular Restricted 3-Body Problem
… has been devoted to the study of low energy transport in multibody gravitational systems. Despite continuing advancements in computational abilities, such studies can often be demanding or time consuming in the three-body and four-body settings. In this work, the Hamiltonian describing the …
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Topological Chaos and Mixing in Lid-Driven Cavities and Rectangular Channels
… compared to advection in the flow. The idea of chaotic advection can be applied in these systems to enhance mixing efficiency. Topological chaos can also lead to efficient and rapid mixing. In this dissertation, an approach to enhance fluid mixing in laminar flows without internal rods is …
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Theory of nonequilibrium transport based on a class of chaotic fluctuations
We present a mathematical theory on the transport of mesoscopic particle under the action of a class of nonequilibrium chaotic fluctuations. By considering a perturbative Perron-Frobenius approach on a strongly damped particle in a potential field, we arrive at a transport equation in the form of …