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We study the magnetic Rayleigh-Taylor instability in three dimensions, with focus on the nonlinear structure and evolution that results from different initial field configurations. We study strong fields in the sense that the critical…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas Gardiner

The onset of turbulence in pipe flow has been a fundamental challenge in physics, applied mathematics, and engineering for over 140 years. To date, the precursor of this laminar-turbulent transition is recognized as transient turbulent…

Fluid Dynamics · Physics 2025-06-10 Jiashun Guan , Jianjun Tao

A numerical study of the $d$-dimensional Eddy Damped Quasi-Normal Markovian equations is performed to investigate the dependence on spatial dimension of homogeneous isotropic fluid turbulence. Relationships between structure functions and…

Fluid Dynamics · Physics 2023-01-31 Daniel Clark , Richard Ho , Arjun Berera

Based on the capillary pore model (space-charge theory) for combined fluid and ion flow through cylindrical nanopores or nanotubes, we derive the continuum equations modified to include wall slip. We focus on the ionic conductance and…

Chemical Physics · Physics 2016-03-31 J. Catalano , R. G. H. Lammertink , P. M. Biesheuvel

It is shown that the usual entropy argument for the Gregory-Laflamme (GL) instability for $some$ appropriate black strings and $p$-branes gives surprising agreement up to a few percent. This may provide a strong support to the GL's horizon…

High Energy Physics - Theory · Physics 2014-11-18 Mu-In Park

We develop a replicated liquid theory for structural glasses which exhibit spatial variation of physical quantities along one axis, say $z$-axis. The theory becomes exact with infinite transverse dimension $d-1 \to \infty$. It provides an…

Soft Condensed Matter · Physics 2025-11-14 Yukihiro Tomita , Hajime Yoshino

We have investigated how the Rayleigh-Plateau instability of a filament made of a 41K-87Rb self-bound mixture may lead to an array of identical quantum droplets, with typical breaking times which are shorter than the lifetime of the…

Quantum Gases · Physics 2023-07-05 Francesco Ancilotto , Manuel Barranco , Marti Pi

We study the Rayleigh-Taylor problem for two incompressible, immiscible, viscous magnetohydrodynamic (MHD) flows, with zero resistivity, surface tension (or without surface tenstion) and special initial magnetic field, evolving with a free…

General Mathematics · Mathematics 2012-05-02 Fei Jiang , Song Jiang , Yanjin Wang

Rayleigh-Taylor instability occurs when a heavier fluid overlies a lighter fluid, and the two seek to exchange positions under the effect of gravity. We present linearized theory for arbitrary 3D initial disturbances that grow in time, and…

Fluid Dynamics · Physics 2019-09-18 S. J. Walters , L. K. Forbes

In this work we explore the one-dimensional extended Hubbard model as a fluid system modelling liquid phases of different densities. This model naturally displays two length scales of interaction, which are connected with waterlike…

Statistical Mechanics · Physics 2023-10-10 Marco A. Habitzreuter , Eduardo O. Rizzatti , Marcia C. Barbosa

In this paper the amorphous/solid to disorder liquid structural phase transitions of an anomalous confined fluid is analyzed using their local fractal dimension. The model is a system of particles interacting through a two length scales…

Soft Condensed Matter · Physics 2016-02-17 Elsa M. de la Calleja-Mora , Leandro B. Krott , Marcia C. Barbosa

In this paper we study the thermodynamics of Einstein-Gauss-Bonnet (EGB)-AdS black holes minimally coupled to a cloud of strings in an extended phase space where the cosmological constant is treated as pressure of the black holes and its…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Hossein Ghaffarnejad , Emad Yaraie

Motivations for the existence of a fundamental preferred frame range from pure phenomenology to attempts to solve the non-renormalizability of quantum gravity, the problem of time (and scale), and the cosmological constant problem(s). In…

General Relativity and Quantum Cosmology · Physics 2014-07-10 Mehdi Saravani , Niayesh Afshordi , Robert B. Mann

This study investigates the fingering instability that forms during stretching of capillary suspensions with and without added nanoparticles. The dewetting process is observed using a transparent lifted Hele-Shaw cell. The liquid bridge is…

Soft Condensed Matter · Physics 2025-06-17 Lingyue Liu , Mete Abbot , Philipp Brockmann , Ilia V. Roisman , Jeanette Hussong , Erin Koos

We give an exact description of the steady flow of a black string into a planar horizon. The event horizon is out of equilibrium and provides a simple, exact instance of a `flowing black funnel' in any dimension D>=5. It is also an…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Marina Martinez

We investigate some aspects of the $(2+1)$-dimensional Gauss-Bonnet black hole proposed in [1][2]. The perturbations of scalar and massless spinorial fields are studied suggesting the dynamical stability of the geometry. The field evolution…

General Relativity and Quantum Cosmology · Physics 2024-01-31 B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira

I give a brief review of the Gregory-Laflamme instability as originally found for a 5-dimensional black string. This is a chapter of the book "Black Holes in Higher Dimensions" to be published by Cambridge University Press (editor: G.…

General Relativity and Quantum Cosmology · Physics 2011-08-01 Ruth Gregory

Equilibrium shapes of coalesced pendular bridges in a static assembly of spherical beads are computed by numerical minimization of the interfacial energy. Our present study focuses on generic bead configurations involving three beads, one…

Soft Condensed Matter · Physics 2016-08-17 Ciro Semprebon , Mario Scheel , Stephan Herminghaus , Ralf Seemann , Martin Brinkmann

This paper addresses the ill-posedness of the classical Rayleigh variational model of conducting charged liquid drops by incorporating the discreteness of the elementary charges. Introducing the model that describes two immiscible fluids…

Analysis of PDEs · Mathematics 2024-09-12 Cyrill B. Muratov , Matteo Novaga , Philip Zaleski

We construct steady non-spherical bubbles and drops, which are traveling wave solutions to the axisymmetric two-phase Euler equations with surface tension, whose inner phase is a bounded connected domain. The solutions have a uniform…

Analysis of PDEs · Mathematics 2025-03-10 David Meyer , Lukas Niebel , Christian Seis
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