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We study the nature of non-axisymmetric dynamical instabilities in differentially rotating stars with both linear eigenmode analysis and hydrodynamic simulations in Newtonian gravity. We especially investigate the following three types of…

Astrophysics · Physics 2009-11-11 Motoyuki Saijo , Shin'ichirou Yoshida

Differential rotation plays a key role in stellar evolution by triggering hydrodynamical instabilities and large-scale motions that induce transport of chemicals and angular momentum and by modifying the propagation and the frequency…

Solar and Stellar Astrophysics · Physics 2018-12-10 Vincent Prat , Stéphane Mathis , Kyle Augustson , François Lignières , Jérôme Ballot , Lucie Alvan , Allan Sacha Brun

Context. Differential rotation has a strong influence on stellar internal dynamics and evolution, notably by triggering hydrodynamical instabilities, by interacting with the magnetic field, and more generally by inducing transport of…

Solar and Stellar Astrophysics · Physics 2018-07-25 Vincent Prat , Stéphane Mathis , Kyle Augustson , François Lignières , Jérôme Ballot , Lucie Alvan , Allan Sacha Brun

In this paper we examine time-dependent and three-dimensional perturbations of spherical accretion flow onto a neutron star close to its Eddington limit. Our treatment assumes a Schwarzschild geometry for the spacetime outside the neutron…

Astrophysics · Physics 2009-10-30 Guy S. Miller , Myeong-Gu Park

We investigate the dynamical one-armed spiral instability in differentially rotating stars with both eigenmode analysis and hydrodynamic simulations in Newtonian gravity. We find that the one-armed spiral mode is generated around the…

Astrophysics · Physics 2007-05-23 Motoyuki Saijo , Shin'ichirou Yoshida

The instability of the interface between a dielectric and a conducting liquid, excited by a spatially homogeneous interface-normal time-periodic electric field, is studied based on experiments and theory. Special attention is paid to the…

Fluid Dynamics · Physics 2022-04-06 S. Dehe , M. Hartmann , A. Bandopadhyay , S. Hardt

Quasi-toroidal oscillations in slowly rotating stars are examined in the framework of general relativity. The oscillation frequency to first order of the rotation rate is not a single value even for uniform rotation unlike the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Yasufumi Kojima

The stability of large-scale magnetic fields in rotating stars is explored, using 3D numerical hydrodynamics to follow the evolution of an initial poloidal field. It is found that the field is subject to an instability, located initially on…

Astrophysics · Physics 2009-11-13 J. Braithwaite

We investigate the rotational core collapse of a rapidly rotating relativistic star by means of a 3+1 hydrodynamical simulations in conformally flat spacetime of general relativity. We concentrate our investigation to the bounce of the…

Astrophysics · Physics 2007-05-23 Motoyuki Saijo

We examine three experimental observations of Faraday waves generated by two-frequency forcing, in which a primary hexagonal pattern becomes unstable to three different superlattice patterns. We use the symmetry-based approach developed by…

Pattern Formation and Solitons · Physics 2007-05-23 A. M. Rucklidge , M. Silber , J. Fineberg

Oscillations have been detected in a variety of stars, including intermediate- and high-mass main sequence stars. While many of these stars are rapidly and differentially rotating, the effects of rotation on oscillation modes are poorly…

Solar and Stellar Astrophysics · Physics 2014-10-16 Giovanni M. Mirouh , Clément Baruteau , Michel Rieutord , Jérôme Ballot

We investigate the nature of low T/W dynamical instabilities in various ranges of the stiffness of the equation of state in differentially rotating stars. Here T is the rotational kinetic energy, while W the gravitational binding energy. We…

High Energy Astrophysical Phenomena · Physics 2018-07-05 Motoyuki Saijo

Recent observational constraints restrict the strict applicability of stellar dynamics in spirals to a few rotation periods. However, stellar dynamics concepts such as periodic orbits are invaluable for understanding the various dynamical…

Astrophysics · Physics 2008-02-03 D. Pfenniger

We investigate Faraday waves on a viscoelastic liquid. Onset measurements and a nonlinear phase diagram for the selected patterns are presented. By virtue of the elasticity of the material a surface resonance synchronous to the external…

patt-sol · Physics 2009-10-31 C. Wagner , H. W. Mueller , K. Knorr

We have carried out 3-D numerical simulations of the dynamical bar instability in a rotating star and the resulting gravitational radiation using both an Eulerian code written in cylindrical coordinates and a smooth particle hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Scott C. Smith , Janet L. Houser , Joan M. Centrella

A compact binary system implicating at least one rotating neutron star undergoes gravitomagnetic tidal resonances as it inspirals toward its final merger. These have a dynamical impact on the phasing of the emitted gravitational waves. The…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Eric Poisson

Nonlinear growth of the bar-mode deformation is studied for a differentially rotating star with supercritical rotational energy. In particular, the growth mechanism of some azimuthal modes with odd wave numbers is examined by comparing a…

Astrophysics · Physics 2008-12-17 Yasufumi Kojima , Motoyuki Saijo

Since the last Amaldi meeting in 1997 we have learned that the r-modes of rapidly rotating neutron stars are unstable to gravitational radiation reaction in astrophysically realistic conditions. Newborn neutron stars rotating more rapidly…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Benjamin J. Owen

Strong effects of the Faraday instability on suspensions of rodlike colloidal particles are reported through measurements of the critical acceleration and of the surface wave amplitude. We show that the transition to parametrically excited…

Soft Condensed Matter · Physics 2013-01-30 Pierre Ballesta , M. Paul Lettinga , Sebastien Manneville

The r-mode instability in rotating relativistic stars has been shown recently to have important astrophysical implications (including the emission of detectable gravitational radiation, the explanation of the initial spins of young neutron…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nikolaos Stergioulas , Jose A. Font