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Superconductivity is a remarkably widespread phenomenon observed in most metals cooled down to very low temperatures. The ubiquity of such conventional superconductors, and the wide range of associated critical temperatures, is readily…

$Context$. The thermal structure of the penumbra below its visible surface (i.e., $\tau_5 \ge 1$) has important implications for our present understanding of sunspots and their penumbrae: their brightness and energy transport, mode…

Solar and Stellar Astrophysics · Physics 2017-05-24 J. M. Borrero , M. Franz , R. Schlichenmaier , M. Collados , A. Asensio Ramos

The *somewhere-to-below shuffles* are the elements \[ t_{\ell} := \operatorname{cyc}_{\ell}+\operatorname{cyc}_{\ell,\ell+1}+\operatorname{cyc}_{\ell,\ell+1,\ell+2}+\cdots+\operatorname{cyc}_{\ell,\ell+1,\ldots,n} \] (for $\ell \in…

Combinatorics · Mathematics 2025-08-19 Darij Grinberg

The equations for waves on the surface of an irrotational incompressible fluid are derived in the coordinates of the velocity potential/stream function. The low frequency shallow water approximation for these waves is derived for a varying…

General Relativity and Quantum Cosmology · Physics 2015-06-05 W. G. Unruh

Within the convection zone of a rotating star, the presence of the Coriolis force stabilizes long-wavelength convective modes. These modes, which would have been unstable if the star lacked rotation, are called overstable convective modes…

Solar and Stellar Astrophysics · Physics 2023-05-15 Bradley W. Hindman , Rekha Jain

Inversion techniques applied to the radiative transfer equation for polarized light are capable of inferring the physical parameters in the solar atmosphere (temperature $T$, magnetic field ${\bf B}$, and line-of-sight velocity $v_{\rm…

Solar and Stellar Astrophysics · Physics 2021-04-07 J. M. Borrero , A. Pastor Yabar , B. Ruiz Cobo

Helioseismology has revealed the internal density and rotation profiles of the Sun. Yet, knowledge of its magnetic fields and meridional circulation is confined much closer to the surface, and latitudinal entropy gradients are below…

Solar and Stellar Astrophysics · Physics 2019-01-29 Lee Gunderson , Amitava Bhattacharjee

Faraday waves are capillary ripples that form on the surface of a fluid being subject to vertical shaking. Although it is well known that the form and shape of the waves pattern depend on driving amplitude and frequency, only recent studies…

Fluid Dynamics · Physics 2020-08-19 Raffaele Colombi , Michael Schlüter , Alexandra von Kameke

In an optical experiment, we report a wave turbulence regime that, starting with weakly nonlinear waves with randomized phases, shows an inverse cascade of photons towards the lowest wavenumbers. We show that the cascade is induced by a…

Topological properties of the spectrum of shallow-water waves on a rotating spherical body are established. Particular attention is paid to its spectral flow, i.e. the modes whose frequencies transit between the Rossby and inertia-gravity…

Fluid Dynamics · Physics 2024-11-12 Nicolas Perez , Armand Leclerc , Guillaume Laibe , Pierre Delplace

We investigate how rotating convection responds to the imposition of a latitudinally-varying heat flux at the base of the convective layer. This study is motivated by the solar near-surface shear layer, whose flows are thought to transition…

Solar and Stellar Astrophysics · Physics 2025-12-15 Kinfe Teweldebirhan , Rituparna Curt , Nicholas A. Featherstone

We present evidence supporting wave reflection in the lower solar chromosphere based on helioseismic analysis of multi-height Doppler data. This evidence is derived through a wave propagation model that incorporates both upward- and…

Solar and Stellar Astrophysics · Physics 2024-03-29 Varun Chaturmutha , Bernhard Fleck , Stuart Jefferies

The material below the crust of a neutron star is understood to be describable in terms of three principal independently moving constituents, identifiable as neutrons, protons, and electrons, of which the first two are believed to form…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Brandon Carter , David Langlois

We present a method for measuring the Sun's motion using the proper motions of Galactic halo star streams. The method relies on the fact that the motion of the stars perpendicular to a stream from a low-mass progenitor is close to zero when…

Astrophysics of Galaxies · Physics 2017-08-16 Khyati Malhan , Rodrigo A. Ibata

Context: Supergranulation is a pattern of the velocity field at the surface of the Sun, which has been known about for more than fifty years, however, no satisfactory explanation of its origin has been proposed. Aims: New observational…

The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom…

Fluid Dynamics · Physics 2019-02-19 Alan C. Compelli , Rossen I. Ivanov , Calin I. Martin , Michail D. Todorov

The surface layers of the Sun are strongly stratified. In the presence of turbulence with a weak mean magnetic field, a large-scale instability resulting in the formation of non-uniform magnetic structures, can be excited over the scale of…

Solar and Stellar Astrophysics · Physics 2015-12-16 Illa R. Losada , A. Brandenburg , N. Kleeorin , Dhrubaditya Mitra , I. Rogachevskii

We show that the generalized Reynolds number (in fluid dynamics) introduced by Ladyzhenskaya is closely related to the rotation of the positive spectral subspace of the Stokes block-operator in the underlying Hilbert space. We also…

Spectral Theory · Mathematics 2020-01-07 Luka Grubišić , Vadim Kostrykin , Konstantin A. Makarov , Stephan Schmitz , Krešimir Veselić

The Sun is a non-equilibrium dissipative system subjected to an energy flow which originates in its core. Convective overshooting motions create temperature and velocity structures which show a temporal and spatial evolution. As a result,…

Solar and Stellar Astrophysics · Physics 2015-06-11 F. Berrilli , S. Scardigli , S. Giordano

Small amplitude oscillations are a commonly observed feature in prominences/filaments. These oscillations appear to be of local nature, are associated to the fine structure of prominence plasmas, and simultaneous flows and counterflows are…

Solar and Stellar Astrophysics · Physics 2015-05-18 I. Arregui , J. L. Ballester
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