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We discuss different equilibrium problems for hyperelastic solids immersed in a fluid at rest. In particular, solids are subjected to gravity and hydrostatic pressure on their immersed boundaries. By means of a variational approach, we…

Analysis of PDEs · Mathematics 2020-12-09 Manuel Friedrich , Martin Kružík , Ulisse Stefanelli

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

Landau's excitation-based argument for superfluids -- that at temperature $T=0$ the normal fluid density $\rho_{n}$ is zero -- should also apply to supersolids. Further, for a total mass density $\rho$, Leggett argues that the superfluid…

Quantum Gases · Physics 2026-04-06 Wayne M. Saslow

Using molecular dynamics simulations, we study the slow dynamics of supercooled liquids confined in a random matrix of immobile obstacles. We study the dynamical crossover from glass-like to Lorentz-gas-like behavior in terms of the density…

Soft Condensed Matter · Physics 2011-05-30 Kang Kim , Kunimasa Miyazaki , Shinji Saito

We study an air-fluidized granular monolayer, composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo…

Soft Condensed Matter · Physics 2022-11-21 F. Vega Reyes , A. Rodríguez-Rivas , J. F. González-Saavedra , M. A. López-Castaño

Quantum electrodynamics (QED) produces a picture of liquid water as a mixture of a low density coherent phase and an high density non-coherent phase. Consequently, the Archimedes principle prescribes that, within a gravitational field,…

General Physics · Physics 2010-10-01 Emilio Del Giudice , Giuseppe Vitiello

We explore the instabilities developed in a fluid in which viscosity depends on temperature. In particular, we consider a dependency that models a very viscous (and thus rather rigid) lithosphere over a convecting mantle. To this end, we…

Fluid Dynamics · Physics 2014-02-13 Jezabel Curbelo , Ana M. Mancho

The description of molecular motion by macroscopic hydrodynamics has a long and continuing history. The Stokes-Einstein relation between the diffusion coefficient of a solute and the solvent viscosity predicted using macroscopic continuum…

Disordered Systems and Neural Networks · Physics 2007-05-23 Xiaoyu Xia , Peter G. Wolynes

We perform experiments with a granular system that consists of a collection of identical hollow spheres (ping-pong balls). Particles rest on a horizontal metallic grid and are confined within a circular region. Fluidization is achieved by…

A fluid occupying a mechanically isolated vessel with walls kept at spatially non-uniform temperature is in the long run expected to reach the spatially inhomogeneous steady state. Irrespective of the initial conditions the velocity field…

Analysis of PDEs · Mathematics 2020-09-29 Mark Dostalík , Vít Průša , K. R. Rajagopal

We open the paper with introductory considerations describing the motivations of our long-term research plan targeting gravitomagnetism, illustrating the fluid-dynamics numerical test case selected for that purpose, that is, a perfect-gas…

We investigate the Navier-Stokes-Fourier system for incompressible heat conducting inhomogeneous fluid. The main result concerns existence of global in time regular large solutions, provided the initial temperature is sufficiently large.…

Analysis of PDEs · Mathematics 2016-02-01 Piotr B. Mucha , Agnieszka Świerczewska-Gwiazda

We present a method to include the effects of gravity in the plasma physics code Cloudy. More precisely, a term is added to the desired gas pressure in order to enforce hydrostatic equilibrium, accounting for both the self-gravity of the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 Y. Ascasibar , A. Diaz

In this paper we investigate the level of hydrostatic equilibrium (HE) in the intra-cluster medium of simulated galaxy clusters, extracted from state-of-the-art cosmological hydrodynamical simulations performed with the…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-24 V. Biffi , S. Borgani , G. Murante , E. Rasia , S. Planelles , G. L. Granato , C. Ragone-Figueroa , A. M. Beck , M. Gaspari , K. Dolag

We prove here well-posedness and convergence to equilibria for the solution trajectories associated to a model for solidification of a liquid content of a rigid container in a gravity field. We observe that the gravity effects, which can be…

Analysis of PDEs · Mathematics 2014-01-10 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

Buoyancy-thermocapillary convection in a layer of volatile liquid driven by a horizontal temperature gradient arises in a variety of situations. Recent studies have shown that the composition of the gas phase, which is typically a mixture…

Fluid Dynamics · Physics 2018-01-16 Roman O. Grigoriev , Tongran Qin

We study in this work the dynamics of a collection of identical hollow spheres (ping-pong balls) that rest on a horizontal metallic grid. Fluidization is achieved by means of a turbulent air current coming from below. The upflow is adjusted…

Drops of water at room temperature were released in hot oil, which had a temperature higher than that of the boiling point of water. Initially, the drop temperature increases slowly mainly due to heat transfer diffusion; convective heat…

Fluid Dynamics · Physics 2009-10-20 Enrique Soto , Roberto Zenit , Andrew Belmonte

We report a 2D modeling of the thermal diffusion-controlled growth of a vapor bubble attached to a heating surface during saturated boiling. The heat conduction problem is solved in a liquid that surrounds a bubble with a free boundary and…

Fluid Dynamics · Physics 2016-01-27 Vadim Nikolayev , Daniel Beysens , G. -L. Lagier , J. Hegseth

The existence of heterogeneity in the dynamics of supercooled liquids is believed to be one of the hallmarks of the glass transition. Intense research has been carried out in the past to understand the origin of this heterogeneity in…

Soft Condensed Matter · Physics 2020-07-01 Indrajit Tah , Smarajit Karmakar