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If a localized quantum state in a tight-binding model with structural aperiodicity is subject to noisy evolution, then it is generally expected to result in diffusion and delocalization. In this work, it is shown that the localized phase of…

Statistical Mechanics · Physics 2021-04-20 Vikram Ravindranath , M. S. Santhanam

Periodic orbits are fundamental to understand the dynamics of nonlinear systems. In this work, we focus on two aspects of interest regarding periodic orbits, in the context of a dissipative mapping, derived from a prototype model of a…

Chaotic Dynamics · Physics 2020-12-22 Danilo Rodrigues de Lima , Iberê Luiz Caldas

We study the combined effects of relaxation, tidal heating and binary heating on globular cluster evolution, exploring the physical consequences of external effects and examining evolutionary trends in the Milky Way population. Our analysis…

Astrophysics · Physics 2015-06-24 C. Murali , M. D. Weinberg

The two dominant features in the distribution of orbital parameters for close-in exoplanets are the prevalence of circular orbits for very short periods, and the observation that planets on closer orbits tend to be heavier. The first…

Earth and Planetary Astrophysics · Physics 2015-05-27 Frederic Pont , Nawal Husnoo , Tsevi Mazeh , Daniel Fabrycky

We study the tidal excitation of gravity modes (g-modes) in compact white dwarf binary systems with periods ranging from minutes to hours. As the orbit of the system decays via gravitational radiation, the orbital frequency increases and…

High Energy Astrophysical Phenomena · Physics 2012-09-21 James Fuller , Dong Lai

Several studies have already considered the influence of tides on the evolution of systems composed of a star and a close-in companion to tentatively explain different observations such as the spin-up of some stars with hot Jupiters, the…

Solar and Stellar Astrophysics · Physics 2015-06-17 David Cébron , Michael Le Bars , Patrice Le Gal , Claire Moutou , J. Leconte , Alban Sauret

We investigate the interaction between a giant planet and a viscous circumstellar disk by means of high-resolution, two-dimensional hydrodynamical simulations. We consider planet masses that range from 1 to 3 Jupiter masses (Mjup) and…

Astrophysics · Physics 2011-02-11 Gennaro D'Angelo , Stephen H. Lubow , Matthew R. Bate

Tidal coupling between members of a compact binary system can have an interesting and important influence on that binary's dynamical inspiral. Tidal coupling also distorts the binary's members, changing them (at lowest order) from spheres…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Stephen O'Sullivan , Scott A. Hughes

One-armed oscillation modes in the circumstellar discs of Be stars may explain the cyclical variations in their emission lines. We show that a three-dimensional effect, involving vertical motion and neglected in previous treatments,…

Astrophysics · Physics 2016-08-17 Gordon I. Ogilvie

The validity of the classical formula for the rate of secular apsidal motion in close binaries is investigated for a sequence of models of a 5 solar mass star ranging from the last stages of the C12 -> N14 reaction to the phase where…

Astrophysics · Physics 2009-11-07 B. Willems , A. Claret

We have applied an eccentric accretion disc theory in simplified form to the case of an accretion disc in a binary system, where the disc contains the 3:1 Lindblad resonance. This is relevant to the case of superhumps in SU Ursae Majoris…

Astrophysics · Physics 2009-11-11 Simon Goodchild , Gordon Ogilvie

A large fraction of known exoplanets have short orbital periods where tidal excitation of gravity waves within the host star causes the planets' orbits to decay. We study the effects of tidal resonance locking, in which the planet locks…

Earth and Planetary Astrophysics · Physics 2021-09-08 Linhao Ma , Jim Fuller

We present a new computation of the linear tidal interaction of a protoplanetary core with a thin gaseous disc in which it is fully embedded. For the first time a discussion of the orbital evolution of cores with eccentricity (e)…

Astrophysics · Physics 2009-10-31 J. C. B. Papaloizou , J. D. Larwood

The Roche limit, or the threshold separation within which a celestial object (the donor) M cannot remain in a stable configuration due to a companion's tidal field, has been well established when M is in hydrostatic equilibrium and has…

Earth and Planetary Astrophysics · Physics 2026-01-22 Hang Yu , Shu Yan Lau , Ethan Mckeever , Phil Arras , Nevin N. Weinberg

Eccentricity or obliquity tides have been proposed as the missing energy source that may explain the anomalously large radius of some transiting ``hot Jupiters''. To maintain a non-zero and large obliquity, it was argued that the planets…

In binary systems, studying tidal interactions is key to understanding the evolution of binary populations. The primary dissipation process occurring in stars with radiative envelopes is believed to be radiative damping of high-radial-order…

Solar and Stellar Astrophysics · Physics 2026-04-01 L. Fellay , M. -A. Dupret , P. A. Kołaczek-Szymański

At high eccentricities, tidal forcing excites vibrational modes within orbiting bodies known as dynamical tides. In this paper, we implement the coupled evolution of these modes with the body's orbit in the \texttt{REBOUNDx} framework, an…

Earth and Planetary Astrophysics · Physics 2026-01-09 Donald J. Liveoak , Sarah C. Millholland , Michelle Vick , Daniel Tamayo

Planets in the liquid-water habitable zone of low-mass stars experience large tidal forces, $10^3$ to $10^4$ times those on Earth, due to the small distance between the habitable zone and the host stars. Therefore, interior solid tides,…

Earth and Planetary Astrophysics · Physics 2025-07-08 Jiaru Shi , Jun Yang , Dorian S. Abbot , Yonggang Liu , Wanying Kang , Yufeng Lin

We consider dissipative one-dimensional systems subject to a periodic force and study numerically how a time-varying friction affects the dynamics. As a model system, particularly suited for numerical analysis, we investigate the driven…

Dynamical Systems · Mathematics 2015-06-05 Michele Bartuccelli , Jonathan Deane , Guido Gentile

Binary stars evolve into chemically-peculiar objects and are a major driver of the Galactic enrichment of heavy elements. During their evolution they undergo interactions, including tides, that circularize orbits and synchronize stellar…

Solar and Stellar Astrophysics · Physics 2023-07-19 Giovanni M. Mirouh , David D. Hendriks , Sophie Dykes , Maxwell Moe , Robert G. Izzard
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