Dissipative Systems

Lichtenberg, Anna; Lieberman, Myron A.

doi:10.1007/978-1-4757-4257-2_7

Cited by 2 publications

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“…Broadly speaking, the proposed theoretical mechanisms responsible for delivery of hot Jupiters to closein radii fall into two categories. The smooth migration category essentially argues that large-scale transport of giant planets is associated with viscous evolution of the disk (Lin et al 1996;Morbidelli & Crida 2007). More specifically the envisioned scenario suggests that newlyformed giant planets clear out substantial gaps in their protoplanetary disks (Goldreich & Tremaine 1980;Armitage 2011) and having placed themselves at the gap center (where torques from the inner and outer parts of the disk instantaneously cancel), drift inwards along with the gas.…”

Section: Introductionmentioning

confidence: 99%

Early Excitation of Spin-Orbit Misalignments in Close-in Planetary Systems

Spalding

Batygin

2014

ApJ

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Continued observational characterization of transiting planets that reside in close proximity to their host stars has shown that a substantial fraction of such objects posses orbits that are inclined with respect to the spin axes of their stars. Mounting evidence for the wide-spread nature of this phenomenon has challenged the conventional notion that large-scale orbital transport occurs during the early epochs of planet formation and is accomplished via planet-disk interactions. However, recent work has shown that the excitation of spin-orbit misalignment between protoplanetary nebulae and their host stars can naturally arise from gravitational perturbations in multi-stellar systems as well as magnetic disk-star coupling. In this work, we examine these processes in tandem. We begin with a thorough exploration of the gravitationally-facilitated acquisition of spin-orbit misalignment and analytically show that the entire possible range of misalignments can be trivially reproduced. Moreover, we demonstrate that the observable spin-orbit misalignment only depends on the primordial disk-binary orbit inclination. Subsequently, we augment our treatment by accounting for magnetic torques and show that more exotic dynamical evolution is possible, provided favorable conditions for magnetic tilting. Cumulatively, our results suggest that observed spin-orbit misalignments are fully consistent with disk-driven migration as a dominant mechanism for the origin of close-in planets.

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Section: Introductionmentioning

confidence: 99%

Early Excitation of Spin-Orbit Misalignments in Close-in Planetary Systems

Spalding

Batygin

2014

ApJ

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“…The subject of this work is the long term correlations for mixed dynamical systems. For such systems, the motion is chaotic in some regions of the classical phase space, while in other regions it is regular [1][2][3]. An important phenomenon such systems exhibit is sticking: trajectories in the chaotic region that are close to the perimeter of a regular region will stay close for a long time.…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations for a simple kicked system with mixed phase space

2018

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We investigate both the classical and quantum dynamics for a simple kicked system (the standard map) that classically has mixed phase space. For initial conditions in a portion of the chaotic region that is close enough to the regular region, the phenomenon of sticking leads to a power-law decay with time of the classical correlation function of a simple observable. Quantum mechanically, we find the same behavior, but with a smaller exponent. We consider various possible explanations of this phenomenon, and settle on a modification of the Meiss-Ott Markov tree model that takes into account quantum limitations on the flux through a turnstile between regions corresponding to states on the tree. Further work is needed to better understand the quantum behavior.

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Dissipative Systems

Cited by 2 publications

References 0 publications

Early Excitation of Spin-Orbit Misalignments in Close-in Planetary Systems

Early Excitation of Spin-Orbit Misalignments in Close-in Planetary Systems

Quantum correlations for a simple kicked system with mixed phase space

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