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The hydrodynamic stationary states of a granular fluid are addressed theoretically when subject to energy injection and a time-independent, but otherwise arbitrary external potential force. When the latter is not too symmetrical in a well…

Soft Condensed Matter · Physics 2025-10-22 Alvaro Domínguez , Nagi Khalil

The hyperspherical adiabatic expansion method is used to describe correlations in a symmetric boson system rigorously confined to two spatial dimensions. The hyperangular eigenvalue equation turns out to be almost independent of the…

Soft Condensed Matter · Physics 2009-11-10 Han Guangze , O. Sørensen , A. S. Jensen , D. V. Fedorov

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

A general reaction-diffusion equation with spatiotemporal delay and homogeneous Dirichlet boundary condition is considered. The existence and stability of positive steady state solutions are proved via studying an equivalent…

Analysis of PDEs · Mathematics 2021-02-24 Wenjie Zuo , Junping Shi

The rise of a single bubble confined between two vertical plates is investigated over a wide range of Reynolds numbers. In particular, we focus on the evolution of the bubble speed, aspect ratio and drag coefficient during the transition…

Gravitational stability of a disc consisting of the gaseous and the stellar components are studied in the linear regime when the gaseous component is turbulent. A phenomenological approach is adopted to describe the turbulence, in which not…

Astrophysics of Galaxies · Physics 2015-06-03 Mohsen Shadmehri , Fazeleh Khajenabi

We develop and implement numerically a phase field model for the growth and detachment of a gas bubble resting on an electrode and being filled with hydrogen produced by water electrolysis. The bubble is surrounded by a viscous liquid, has…

Soft Condensed Matter · Physics 2025-12-19 Carlos Uriarte , Marco A. Fontelos , Manuel Arrayás

Experiments have not only revealed the remarkably long lifetime of nanobubbles, but also demonstrated the diffusive instability of bubbles above micrometers, thus a full-scale physical understanding on the stability of bubbles is in urgent…

Soft Condensed Matter · Physics 2021-12-28 Binghai Wen , Yongcai Pan , Lijuan Zhang , Shuo Wang , Limin Zhou , Chunlei Wang , Jun Hu

Homogeneous nucleation of a vapor bubble from a bulk metastable phase is studied here for the first time using the multibody dissipative particle dynamics model. The van der Waals equation of state is used to define a conservative force…

Statistical Mechanics · Physics 2012-03-02 Anuj Chaudhri , Jennifer R. Lukes

We study a single, motionless three-dimensional droplet growing by adsorption of diffusing monomers on a 2D substrate. The diffusing monomers are adsorbed at the aggregate perimeter of the droplet with different boundary conditions. Models…

Statistical Mechanics · Physics 2009-10-31 Z. Tavassoli , G. J. Rodgers

The present paper considers a homogeneous bubble inside an unbounded polytropic compressible liquid with viscosity. The system is governed by the Navier-Stokes equation with free boundary which is determined by the kinematic and dynamic…

Analysis of PDEs · Mathematics 2022-12-02 Lifeng Zhao , Liangchen Zou

I consider the hydrodynamic stability of imploding gases as a model for inertial confinement fusion capsules, sonoluminescent bubbles and the gravitational collapse of astrophysical gases. For oblate modes under a homologous flow, a…

Fluid Dynamics · Physics 2023-07-19 Bryan M. Johnson

We investigate analytically and numerically the stability of bubble-like fluxons in disk-shaped heterogeneous Josephson junctions. Using ring solitons as a model of bubble fluxons in the two-dimensional sine-Gordon equation, we show that…

Pattern Formation and Solitons · Physics 2020-06-18 Alicia G. Castro-Montes , Mónica A. García-Ñustes , Jorge A. González , Juan F. Marín , Diego Teca-Wellmann

In this paper we report on bubble growth rates and on the statistics of bubble topology for the coarsening of a dry foam contained in the narrow gap between two hemispheres. By contrast with coarsening in flat space, where six-sided bubbles…

Soft Condensed Matter · Physics 2013-05-06 A. E. Roth , C. D. Jones , D. J. Durian

Enhancing the efficiency of water electrolysis, which can be severely impacted by the nucleation and growth of bubbles, is key in the energy transition. In this combined experimental and numerical study, in-situ bubble evolution and…

The growth of surface plasmonic microbubbles in binary water/ethanol solutions is experimentally studied. The microbubbles are generated by illuminating a gold nanoparticle array with a continuous wave laser. Plasmonic bubbles exhibit…

The phase separation mechanism of a binary liquid mixture off-critically quenched in its miscibility gap is nucleation and growth, its homogeneous phase reaching a metastable equilibrium state. The successive stages of growth of the…

Statistical Mechanics · Physics 2009-11-18 Jean Colombani , Jacques Bert

In wet liquid foams, slow diffusion of gas through bubble walls changes bubble pressure, volume and wall curvature. Large bubbles grow at the expenses of smaller ones. The smaller the bubble, the faster it shrinks. As the number of bubbles…

We show that phase separation can occur in a one-component liquid outside its coexistence curve (CX) with addition of a small amount of a solute. The solute concentration at the transition decreases with increasing the difference of the…

Soft Condensed Matter · Physics 2015-06-01 Ryuichi Okamoto , Akira Onuki

In this work, we study the well-posedness of a system of partial differential equations that model the dynamics of a two-dimensional Stokes bubble immersed in two-dimensional ambient Stokes fluid of the same viscosity that extends to…

Analysis of PDEs · Mathematics 2024-06-13 Jae Ho Choi