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We propose a theoretical framework for an explanation of the numerically discovered phenomenon of the attractor-repeller merger. We identify regimes which are observed in dynamical systems with attractors as defined in a work by Ruelle and…

Dynamical Systems · Mathematics 2017-05-15 Sergey Gonchenko , Dmitry Turaev

We aim to understand how landslides affect the shape and rotational motion of small rubble planetary bodies. We limit ourselves to axisymmetric global landslides, and take the primordial shape of the body to also be axisymmetric. The…

Earth and Planetary Astrophysics · Physics 2026-05-15 Kumar Gaurav , Ishan Sharma

The presence of an external tidal field often induces significant dynamical evolutionary effects on the internal kinematics of star clusters. Previous studies investigating the restricted three-body problem with applications to star cluster…

Astrophysics of Galaxies · Physics 2016-06-29 Maria Tiongco , Enrico Vesperini , Anna Lisa Varri

The restricted planar elliptic three body problem (RPETBP) describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center of…

Dynamical Systems · Mathematics 2018-08-07 Amadeu Delshams , Vadim Kaloshin , Abraham de la Rosa , Tere M. Seara

We present an in-depth analysis of the geometrical percolation behavior in the continuum of random assemblies of hard oblate ellipsoids of revolution. Simulations where carried out by considering a broad range of aspect-ratios, from spheres…

Statistical Mechanics · Physics 2009-11-13 Gianluca Ambrosetti , Niklaus Johner , Claudio Grimaldi , Andrea Danani , Peter Ryser

We describe an algorithm for identifying ellipsoidal haloes in numerical simulations, and quantify how the resulting estimates of halo mass and shape differ with respect to spherical halo finders. Haloes become more prolate when fit with…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-19 Giulia Despali , Giuseppe Tormen , Ravi K. Sheth

We revisit the global modes and instabilities of homogeneous rotating ellipsoidal fluid masses, which are the simplest global models of rotationally and tidally deformed gaseous planets or stars. The tidal flow in a short-period planet may…

Earth and Planetary Astrophysics · Physics 2016-04-20 Adrian J. Barker , Harry J. Braviner , Gordon I. Ogilvie

A theoretical and experimental study of the spin-over mode induced by the elliptical instability of a flow contained in a slightly deformed rotating spherical shell is presented. This geometrical configuration mimics the liquid rotating…

Classical Physics · Physics 2016-08-16 L. Lacaze , P. Le Gal , S. Le Dizès

We study the behavior of orbits in two different galactic dynamical models, describing the motion in the central parts of a triaxial elliptical galaxy with a dense nucleus. Numerical experiments show that both models display regular motion…

Astrophysics of Galaxies · Physics 2015-06-04 Euaggelos E. Zotos

Turbulence plays a key role in the transport of pebble-sized particles. It also affects the ability of pebbles to be accreted by protoplanets, because it stirs pebbles out of the disk midplane. In addition, turbulence can suppress pebble…

Earth and Planetary Astrophysics · Physics 2018-08-08 Chris W. Ormel , Beibei Liu

Shear flows cause aspherical colloidal particles to tumble so that their orientations trace out complex trajectories known as Jeffery orbits. The Jeffery orbit of a prolate ellipsoid is predicted to align the particle's principal axis…

Soft Condensed Matter · Physics 2023-05-24 Lauren E. Altman , Andrew D. Hollingsworth , David G. Grier

We present a self-consistent model for the tidal evolution of circumbinary planets. Based on the weak-friction model, we derive expressions of the resulting forces and torques considering complete tidal interactions between all the bodies…

Earth and Planetary Astrophysics · Physics 2019-07-10 F. A. Zoppetti , C. Beaugé , A. M. Leiva , H. Folonier

Particle stabilized emulsions have received an enormous interest in the recent past, but our understanding of the dynamics of emulsion formation is still limited. For simple spherical particles, the time dependent growth of fluid domains is…

Soft Condensed Matter · Physics 2015-02-10 Florian Günther , Stefan Frijters , Jens Harting

In this work we consider bubbles that can form spontaneously when a two-dimensional (2D) crystal is transferred to a substrate with gases or liquids trapped at the crystal-substrate interface. The underlying mechanics may be described by a…

Soft Condensed Matter · Physics 2022-07-06 Zhaohe Dai , Yifan Rao , Nanshu Lu

We present a 2D kinematic analysis out to ~2-5 effective radii (Re) of 33 massive elliptical galaxies with stellar velocity dispersions larger than 150 km/s. Our observations were taken using the Mitchell Spectrograph (formerly VIRUS-P), a…

Astrophysics of Galaxies · Physics 2015-06-19 Sudhir Raskutti , Jenny Greene , Jeremy Murphy

The interaction between a fluid and a granular material plays a crucial role in a large class of phenomena such as landscape morphology and transport of sediments, aeolian sand dunes formation and ripples dynamics. Standard models involve…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli , Duccio Fanelli , Luca Sguanci

Patterned surfaces with large effective slip lengths, such as super-hydrophobic surfaces containing trapped gas bubbles, have the potential to reduce hydrodynamic drag. Based on lubrication theory, we analyze an approach of a hydrophilic…

Fluid Dynamics · Physics 2015-03-14 Aleksey V. Belyaev , Olga I. Vinogradova

We model the formation and evolution of wrinkles in a floating elastic sheet under uniaxial compression. This is a canonical setup in the study of wrinkling, and whilst its static equilibrium configuration is well characterised, its…

Fluid Dynamics · Physics 2025-10-31 Daniel J. Netherwood , Ben S. Humphries , Connor Robbins , Doireann O'Kiely

Magnetic droplets obtained by induced phase separation in a magnetic colloid show a large variety of shapes when exposed to an external field. However, the description of shapes is often limited. Here we formulate an algorithm based on…

Fluid Dynamics · Physics 2017-06-28 Janis Erdmanis , Guntars Kitenbergs , Regine Perzynski , Andrejs Cebers

We use numerical simulations and linear stability analysis to study active nematic droplets, in the regime where the passive phase is isotropic. We show that activity leads to the emergence of nematic order and of spontaneous rotation in…

Soft Condensed Matter · Physics 2024-04-23 Mehrana R. Nejad , Julia M. Yeomans