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The dynamical stability of differentially rotating neutron stars, including hypermassive neutron stars, is of paramount importance in understanding the fate of the post-merger remnant of binary neutron stars mergers and the formation of a…

High Energy Astrophysical Phenomena · Physics 2025-07-09 Paweł Szewczyk , Dorota Gondek-Rosińska , Pablo Cerdá-Durán

An analytical model based on variational principles for a thin-walled stiffened plate subjected to axial compression is presented. A system of nonlinear differential and integral equations is derived and solved using numerical continuation.…

Materials Science · Physics 2014-06-10 M. Ahmer Wadee , Maryam Farsi

We present solutions to the Einstein-Klein Gordon system representing boson stars in the slow rotation approximation. By considering slow rotation we are able to reduce the number of equations yielding a system of ordinary differential…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Jorge F. M. Delgado , Juan Carlos Degollado , Luis E. Martínez , Marcelo Salgado

We construct relativistic equilibrium models of differentially rotating neutron stars and show that they can support significantly more mass than their nonrotating or uniformly rotating counterparts. We dynamically evolve such…

Astrophysics · Physics 2011-05-05 Thomas W. Baumgarte , Stuart L. Shapiro , Masaru Shibata

Doubly diffusive convection describes the fluid motion driven by the competition of temperature and salinity gradients diffusing at different rates. While the convective motions driven by these gradients usually occupy the entire domain,…

Fluid Dynamics · Physics 2025-07-08 Paul M. Mannix , Cedric Beaume

Axion stars are hypothetical objects formed of axions, obtained as localized and coherently oscillating solutions to their classical equation of motion. Depending on the value of the field amplitude at the core $|\theta_0| \equiv…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-13 Luca Visinelli , Sebastian Baum , Javier Redondo , Katherine Freese , Frank Wilczek

When two-dimensional pattern-forming problems are posed on a periodic domain, classical techniques (Lyapunov-Schmidt, equivariant bifurcation theory) give considerable information about what periodic patterns are formed in the transition…

Pattern Formation and Solitons · Physics 2022-09-16 Gérard Iooss , Alastair M Rucklidge

The effects of rapid rotation on stellar evolution can be profound. We are now beginning to gather enough data to allow a realistic comparison between different physical models. Two key tests for any theory of stellar rotation are first…

Solar and Stellar Astrophysics · Physics 2015-05-30 Adrian T. Potter , Christopher A. Tout , John J. Eldridge

Equilibrium models of differentially rotating nascent neutron stars are constructed, which represent the result of the accretion induced collapse of rapidly rotating white dwarfs. The models are built in a two-step procedure: (1) a rapidly…

Astrophysics · Physics 2008-11-26 Yuk Tung Liu , Lee Lindblom

Exotic nuclear structures such as bubbles and tori are analyzed through semiclassical extended Thomas-Fermi calculations with the Skyrme force SkM$^*$. The variational equations for neutron and proton densities are solved fully…

Nuclear Theory · Physics 2008-11-26 X. Viñas , M. Centelles , M. Warda

We study equilibrium configurations of non-Euclidean plates, in which the reference metric is uniaxially periodic. This work is motivated by recent experiments on thin sheets of composite thermally responsive gels [1]. Such sheets bend…

Pattern Formation and Solitons · Physics 2015-06-12 Michael Moshe , Eran Sharon , Raz Kupferman

We present a new empirical calibration of equilibrium tidal theory for extrasolar planet systems, extending a prior study by incorporating detailed physical models for the internal structure of planets and host stars. The resulting strength…

Earth and Planetary Astrophysics · Physics 2015-06-04 Brad Hansen

Using time evolutions of the relevant linearised equations we study non-axisymmetric oscillations of rapidly rotating and superfluid neutron stars. We consider perturbations of Newtonian axisymmetric background configurations and account…

Astrophysics · Physics 2009-11-13 Andrea Passamonti , Brynmor Haskell , Nils Andersson

We report on numerical results from an independent formalism to describe the quasi-equilibrium structure of nonsynchronous binary neutron stars in general relativity. This is an important independent test of controversial numerical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro Marronetti , Grant J. Mathews , James R. Wilson

Different sequences of ellipsoids are represented on the ellipticity-rotation plane. The rotation parameter is defined as the ratio of kinetic energy related to the mean tangential equatorial velocity component to kinetic energy related to…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 R. Caimmi

We study the decaying Burgers dynamics in $d$ dimensions for random Gaussian initial conditions. We focus on power-law initial energy spectra, such that the system shows a self-similar evolution. This is the case of interest for the…

Statistical Mechanics · Physics 2010-01-19 P. Valageas

We developed self-consistent dynamical models of stellar systems in the framework of quasi-linear modified Newtonian dynamics (QUMOND). The models are constructed from the anisotropic distribution function of Gunn & Griffin (1979), combined…

Astrophysics of Galaxies · Physics 2023-07-26 A. Sollima , C. Nipoti , F. Calura , R. Pascale , H. Baumgardt

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…

Statistical Mechanics · Physics 2018-07-04 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi , Marco Picco , Alessandro Tartaglia

The shrinking core model describes the reaction of a spherical solid particle with a surrounding fluid. In this work, we revisit the SCM by deriving it from the underlying physical processes and performing a careful non-dimensionalisation,…

Other Condensed Matter · Physics 2025-08-05 Cristian Moreno-Pulido , Rachael Olwande , Tim Myers , Francesc Font

Current observations indicate that the planet formation process often produces multiple planet systems with nearly circular orbits, regular spacing, a narrow range of inclination angles, and similar planetary masses of order $m_{\rm…

Earth and Planetary Astrophysics · Physics 2019-07-10 Fred C. Adams