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Tidal dissipation in planetary interiors is one of the key physical mechanisms that drive the evolution of star-planet and planet-moon systems. Tidal dissipation in planets is intrinsically related to their internal structure. In…

地球与行星天体物理 · 物理学 2015-10-21 M. Guenel , S. Mathis , F. Remus

Hierarchical two-planet systems, in which the inner body's semi-major axis is between 0.1 and 0.5 AU, usually present high eccentricity values, at least for one of the orbits. As a result of the formation process, one may expect that…

地球与行星天体物理 · 物理学 2013-05-07 A. C. M. Correia , G. Boue , J. Laskar , M. H. M. Morais

We present here in full details the linear secular theory with tidal damping that was used to constraint the fit of the HD10180 planetary system in (Lovis et al. 2011). The theory is very general and can provide some intuitive understanding…

地球与行星天体物理 · 物理学 2015-05-30 Jacques Laskar , Gwenaël Boué , Alexandre C. M. Correia

The development of 2D and 3D simulations of solar convection has lead to a picture of convection quite unlike the usually assumed Kolmogorov spectrum turbulent flow. We investigate the impact of this changed structure on the dissipation…

天体物理学 · 物理学 2012-05-14 Kaloyan Penev , Dimitar Sasselov , Frank Robinson , Pierre Demarque

We analyze the long-term tidal evolution of a single-planet system through the use of numerical simulations and averaged equations giving the variations of semi-major axis and eccentricity of the relative orbit. For different types of…

地球与行星天体物理 · 物理学 2015-05-13 Adrian Rodriguez , Sylvio Ferraz-Mello

A dissipation rate, which grows faster than any power of the wave number in Fourier space, may be scaled to lead a hydrodynamic system {\it actually} or {\it potentially} converge to its Galerkin truncation. Actual convergence we name for…

混沌动力学 · 物理学 2009-09-29 Jian-Zhou Zhu , Mark Taylor

We use a damped mass-spring model within an N-body code to simulate the tidal evolution of the spin and orbit of a self-gravitating viscoelastic spherical body moving around a point-mass perturber. The damped mass-spring model represents a…

地球与行星天体物理 · 物理学 2016-06-16 Julien Frouard , Alice C. Quillen , Michael Efroimsky , David Giannella

In this thesis, we are concerned with the dynamics of spiral wave solutions to Reaction-Diffsion systems of equations, and how they behave when subject to symmetry breaking perturbations. We present an asymptotic theory of the study of…

斑图形成与孤子 · 物理学 2009-12-22 Andrew J. Foulkes

The swimming of a sphere immersed in a viscous incompressible fluid with inertia is studied for surface modulations of small amplitude on the basis of the Navier-Stokes equations. The mean swimming velocity and the mean rate of dissipation…

流体动力学 · 物理学 2016-12-20 B. U. Felderhof , R. B. Jones

We discuss a model describing the effects of tidal dissipation on satellite's orbits. Tidal bulges are described in terms of a dumbbell, coupled to the rotation by a dissipative interaction. The assumptions on this dissipative coupling…

地球与行星天体物理 · 物理学 2022-09-08 Benedetto Scoppola , Alessio Troiani , Matteo Veglianti

To describe the small-scale intermittency of turbulence, a self-similarity is assumed for the probability density function of a logarithm of the rate of energy dissipation smoothed over a length scale among those in the inertial range. The…

流体动力学 · 物理学 2015-03-30 H. Mouri

This paper enhances the classic Smagorinsky model by introducing an innovative, adaptive dissipation term that adjusts dynamically with distance from boundary regions. This modification addresses a known limitation of the standard model…

流体动力学 · 物理学 2024-11-11 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

We derive a theorem for the lower bound on the energy dissipation rate by a rigid surface-driven active microswimmer of arbitrary shape in a fluid at low Reynolds number. We show that, for any swimmer, the minimum dissipation at a given…

流体动力学 · 物理学 2021-01-27 Babak Nasouri , Andrej Vilfan , Ramin Golestanian

Tidal interactions play an important role in many astrophysical systems, but uncertainties regarding the tides of rapidly rotating, centrifugally distorted stars and gaseous planets remain. We have developed a precise method for computing…

地球与行星天体物理 · 物理学 2023-04-12 Janosz W. Dewberry , Dong Lai

The dispersion relation is derived for the coherent waves in fluid or elastic media supporting viscous and thermal effects and containing randomly distributed spherical scatterers. The formula obtained is the generalization of Lloyd and…

数学物理 · 物理学 2012-02-15 Francine Luppé , Jean-Marc Conoir , Andrew N. Norris

We analyze damping of oscillations of general relativistic superfluid neutron stars. To this aim we extend the method of decoupling of superfluid and normal oscillation modes first suggested in [Gusakov & Kantor PRD 83, 081304(R) (2011)].…

太阳与恒星天体物理 · 物理学 2013-05-21 M. E. Gusakov , E. M. Kantor , A. I. Chugunov , L. Gualtieri

In this work, we present an updated prescription of contemporary tidal dissipation theory adapted for rapid binary population synthesis. Our simplified expressions encode the dependence of tidal dissipation on stellar structure,…

太阳与恒星天体物理 · 物理学 2026-02-17 Veome Kapil , Ilya Mandel , Evgeni Grishin , Jim Fuller , Jeff Riley , Emanuele Berti

The study points out that the traditional solutions to wave equation of dissipative wave and motion equation of block for a multi-degree-of-freedom mass spring damper system are the possible solutions, which are not necessarily objective…

经典物理 · 物理学 2022-01-21 Peng Shi

Motivated by numerically modeling surface waves for inviscid Euler equations, we analyze linear models for damped water waves and establish decay properties for the energy for sufficiently regular initial configurations. Our findings give…

偏微分方程分析 · 数学 2023-08-21 Thomas Alazard , Jeremy L. Marzuola , Jian Wang

The interaction between equilibrium tides and convection in stellar envelopes is often considered important for tidal evolution in close binary and extrasolar planetary systems. Its efficiency for fast tides has however long been…

太阳与恒星天体物理 · 物理学 2021-07-21 Adrian J. Barker , Aurélie A. V. Astoul