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Related papers: Homogeneous model for the TRAPPIST-1e planet with …

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We discuss the equilibrium conditions for a body made of two homogeneous components separated by oblate spheroidal surfaces and in relative motion. While exact solutions are not permitted for rigid rotation (unless a specific ambient…

Solar and Stellar Astrophysics · Physics 2022-04-13 Jean-Marc Huré

A simple Lennard-Jones fluid confined in a slit nanopore with hard walls is studied on the basis of a multilayer structured model. Each layer is homogeneous and parallel to the walls of the pore. The Helmholtz energy of this system is…

Mesoscale and Nanoscale Physics · Physics 2010-03-17 G. J. Zarragoicoechea , A. G. Meyra , V. A. Kuz

In this study, we present the original method for reconstructing the potential of interparticle interaction from statistically averaged structural data, namely, the radial distribution function of particles in many-particle system. This…

Computational Physics · Physics 2022-11-22 Anatolii V. Mokshin , Roman A. Khabibullin

The TRAPPIST-1 system is an iconic planetary system in various aspects (e.g., habitability, resonant relation, and multiplicity) and hence has attracted considerable attention. The mass distribution of the TRAPPIST-1 planets is…

Earth and Planetary Astrophysics · Physics 2022-03-14 Masahiro Ogihara , Eiichiro Kokubo , Ryuunosuke Nakano , Takeru K. Suzuki

Massive and water-rich planets should be ubiquitous in the universe. Many of those worlds are expected to be subject to important irradiation from their host star, and display supercritical water layers surrounded by extended steam…

Earth and Planetary Astrophysics · Physics 2021-06-18 Artyom Aguichine , Olivier Mousis , Magali Deleuil , Emmanuel Marcq

Recent Juno observations have suggested that the heavy elements in Jupiter could be diluted throughout a large fraction of its gaseous envelope, providing a stabilising compositional gradient over an extended region of the planet. This…

Earth and Planetary Astrophysics · Physics 2019-06-26 Quentin André , Stéphane Mathis , Adrian J. Barker

Spatial phenomena often exhibit heterogeneity across spatial extents and in proximity, making them complex to model-especially in dynamic regions like ice shelves and sea ice. In this study, we address this challenge by exploring the…

Social and Information Networks · Computer Science 2025-07-10 Maloy Kumar Devnath , Sudip Chakraborty , Vandana P. Janeja

The climate is a non-equilibrium system undergoing the continuous action of forcing and dissipation. Under the effect of a spatially inhomogeneous absorption of solar energy, all the climate components dynamically respond until an…

Atmospheric and Oceanic Physics · Physics 2022-06-01 Charline Ragon , Valerio Lembo , Valerio Lucarini , Christian Vérard , Jérôme Kasparian , Maura Brunetti

We present a dynamic model for inhomogeneous viscoelastic media at finite strains. The model features a Kelvin-Voigt rheology, and includes a self-generated gravitational field in the actual evolving configuration. In particular, a fully…

Analysis of PDEs · Mathematics 2024-11-12 Alexander Mielke , Tomas Roubicek , Ulisse Stefanelli

We present a sequence of toy models for irradiated planet atmospheres, in which the effects of geometry and energy redistribution are modelled self-consistently. We use separate but coupled grey atmosphere models to treat the ingoing…

Astrophysics · Physics 2009-11-13 Brad Hansen

Subaqueous and aeolian bedforms are ubiquitous on Earth and other planetary environments. However, it is still unclear which hydrodynamical mechanisms lead to the observed variety of morphologies of self-organized natural patterns such as…

The habitable zone (HZ) describes the range of orbital distances around a star where the existence of liquid water on the surface of an Earth-like planet is in principle possible. While 3D climate studies can calculate the water vapor, ice…

Earth and Planetary Astrophysics · Physics 2016-07-20 M. Godolt , J. L. Grenfell , D. Kitzmann , M. Kunze , U. Langematz , A. B. C. Patzer , H. Rauer , B. Stracke

A number of crystal structures of water have been `superheated' in Monte Carlo simulations. Two well known models for water were considered; namely the TIP4P model and the SPC/E model. By comparing the fluid-solid coexistence temperature to…

Statistical Mechanics · Physics 2009-02-24 Carl McBride , Carlos Vega , Eduardo Sanz , Luis G. MacDowell , Jose L. F. Abascal

The habitability of terrestrial exoplanets orbiting M dwarfs is a key topic in the search for extraterrestrial life. The climates of these planets differ significantly from the Earth's due to their likely tidal locking, resulting in a…

Earth and Planetary Astrophysics · Physics 2026-03-11 Keigo Taniguchi , Takanori Kodama , Martin Turbet , Guillaume Chaverot , Ehouarn Millour , Hidenori Genda

Recent observations of the potentially habitable planets TRAPPIST-1 e, f, and g suggest that they possess large water mass fractions of possibly several tens of wt% of water, even though the host star's activity should drive rapid…

Earth and Planetary Astrophysics · Physics 2021-09-09 Patrick Barth , Ludmila Carone , Rory Barnes , Lena Noack , Paul Mollière , Thomas Henning

We study the asymptotic behavior of thin heterogeneous elastoplastic plates in the framework of linearized elastoplasticity, focusing on the regime where the plate thickness vanishes much faster than the characteristic scale of the…

Analysis of PDEs · Mathematics 2026-05-14 Marin Bužančić , Igor Velčić , Josip Žubrinić

We establish spectral rigidity for spherically symmetric manifolds with boundary and interior interfaces determined by discontinuities in the metric under certain conditions. Rather than a single metric, we allow two distinct metrics in…

Analysis of PDEs · Mathematics 2023-12-08 Joonas Ilmavirta , Maarten V. de Hoop , Vitaly Katsnelson

Tidal friction in exoplanet systems, driven by orbits that allow for durable nonzero eccentricities at short heliocentric periods, can generate internal heating far in excess of the conditions observed in our own solar system. Secular…

Earth and Planetary Astrophysics · Physics 2010-11-03 Wade G. Henning , Richard J. O'Connell , Dimitar D. Sasselov

A simple phenomenological model is developed for the recent torsional oscillator experiments on solid $^4$He. Within this model, for a homogeneous sample there is a specific quantitative relation between the change in the oscillator's…

Disordered Systems and Neural Networks · Physics 2009-11-13 David A. Huse , Zuhair U. Khandker

The multiple-planet systems discovered by the Kepler mission show an excess of planet pairs with period ratios just wide of exact commensurability for first-order resonances like 2:1 and 3:2. In principle, these planet pairs could have both…

Earth and Planetary Astrophysics · Physics 2015-06-16 Man Hoi Lee , D. Fabrycky , D. N. C. Lin