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Phase separation of a two-dimensional van der Waals fluid subject to a gravitational force is studied by numerical simulations based on lattice Boltzmann methods (LBM) implemented with a finite difference scheme. A growth exponent…

Soft Condensed Matter · Physics 2020-01-08 A. Cristea , G. Gonnella , A. Lamura , V. Sofonea

In this paper, we consider a free boundary problem of two-phase inviscid incompressible fluid in gravity field. The presence of the gravity field induces novel phenomena that there might be some stagnation points on free surface of the…

Analysis of PDEs · Mathematics 2025-02-04 Lili Du , Feng Ji

We consider the motion of the interface separating a vacuum from an inviscid, incompressible, and irrotational fluid, subject to the self-gravitational force and neglecting surface tension, in two space dimensions. The fluid motion is…

Analysis of PDEs · Mathematics 2015-11-04 Lydia Bieri , Shuang Miao , Sohrab Shahshahani , Sijue Wu

Supercooled liquids are characterized by relaxation times that increase dramatically by cooling or compression. Many liquids have been shown to obey power-law density scaling, according to which the relaxation time is a function of density…

Soft Condensed Matter · Physics 2012-12-19 Lasse Bøhling , Trond S. Ingebrigtsen , A. Grzybowski , M. Paluch , Jeppe C. Dyre , Thomas B. Schrøder

This paper investigates solitary water waves propagating along the surface of a two-dimensional dielectric fluid with constant vorticity in the presence of an external electric field. We formulate the system as a nonlinear free boundary…

Analysis of PDEs · Mathematics 2026-04-28 Tingting Feng , Yong Zhang , Zhitao Zhang

We use numerical simulations and linear stability analysis to study the dynamics of an active liquid crystal film on a substrate in the regime where the passive system would be isotropic. Extensile activity builds up local orientational…

Soft Condensed Matter · Physics 2023-09-26 Fernando Caballero , Zhihong You , M. Cristina Marchetti

We numerically investigate the meniscus-guided coating of a binary fluid mixture containing a solute and a volatile solvent that phase separates via spinodal decomposition. Motivation is the evaporation-driven deposition of material during…

Soft Condensed Matter · Physics 2024-06-12 René de Bruijn , Anton A. Darhuber , Jasper J. Michels , Paul van der Schoot

We show theoretically that an imposed uniaxial anisotropy leads to new universality classes for the dynamics of active particles suspended in a viscous fluid. In the homogeneous state, their concentration relaxes superdiffusively, stirred…

Soft Condensed Matter · Physics 2026-03-26 Lokrshi Prawar Dadhichi , Suvendra K. Sahoo , K. Vijay Kumar , Sriram Ramaswamy

Various biological and chemical processes lead to the nucleation and growth of non-wetting fluid bubbles within the pore space of a granular medium, such as the formation of gas bubbles in liquid-saturated lake-bed sediments. In…

Soft Condensed Matter · Physics 2022-05-13 Oliver W. Paulin , Liam C. Morrow , Matthew G. Hennessy , Christopher W. MacMinn

We consider a spherically symmetric homogeneous perfect fluid undergoing a gravitational collapse to singularity in the framework of higher-dimensional Rastall gravity in the cases of vanishing and nonvanishing cosmological constants. The…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Golfin Ekatria , Andy Octavian Latief , Fiki Taufik Akbar , Bobby Eka Gunara

The dynamics of dislocations confined to grain boundaries in a striped system are studied using electroconvection in the nematic liquid crystal N4. In electroconvection, a striped pattern of convection rolls forms for sufficiently high…

Soft Condensed Matter · Physics 2009-11-10 Carina Kamaga , Fatima Ibrahim , Michael Dennin

Spontaneous liquid-liquid phase separation is commonly understood in terms of phenomenological mean-field theories. These theories correctly predict the structural features of the fluid at sufficiently long time scales and wavelengths.…

Soft Condensed Matter · Physics 2019-07-11 Charley Schaefer , Stefan Paquay , Tom C. B. McLeish

At a finite temperature, the stable equilibrium states of a coupled two-component superfluid with the same mass in both non-rotating and rotating cases can be obtained by studying its real time dynamics via holography, the equilibrium state…

High Energy Physics - Theory · Physics 2019-11-20 Wei-Can Yang , Chuan-Yin Xia , Hua-Bi Zeng , Hai-Qing Zhang

We consider the flow of a viscous, incompressible, Newtonian fluid in a perforated domain in the plane. The domain is the exterior of a regular lattice of rigid particles. We study the simultaneous limit of vanishing particle size and…

Analysis of PDEs · Mathematics 2015-08-31 Christophe Lacave , Anna Mazzucato

A numerical solution of Einstein field equations for a spherical symmetric and stationary system of identical and auto-gravitating particles in phase transition is presented. The fluid possess a perfect fluid energy momentum tensor, and the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jose D. Polanco , Patricio S. Letelier , Maximiliano Ujevic

The equilibrium density distribution and thermodynamic properties of a Lennard-Jones fluid confined to nano-sized spherical cavities at constant chemical potential was determined using Monte Carlo simulations. The results describe both a…

Mesoscale and Nanoscale Physics · Physics 2010-04-27 James F. Lutsko , Julien Laidet , Patrick Grosfils

We develop the kinetic theory of point vortices in two-dimensional hydrodynamics and illustrate the main results of the theory with numerical simulations. We first consider the evolution of the system "as a whole" and show that the…

Statistical Mechanics · Physics 2009-11-13 P. H. Chavanis , M. Lemou

In this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $\mathbb{T}\times \mathbb{R}$. In the inviscid case there is a generic…

Analysis of PDEs · Mathematics 2021-08-24 Paolo Antonelli , Michele Dolce , Pierangelo Marcati

We investigate hydrodynamic fluctuations in a 2D granular fluid excited by a vibrating base and in the presence of gravity, focusing on the transverse velocity modes. Since the system is inhomogeneous, we measure fluctuations in horizontal…

Soft Condensed Matter · Physics 2015-05-28 Giulio Costantini , Andrea Puglisi

A Lennard--Jones model of a binary dense liquid (A,B) with a symmetrical miscibility gap is investigated by means of computer simulation methods. Semigrand--canonical Monte Carlo simulations yield the phase diagram in the $T$--$x$ plane…

Statistical Mechanics · Physics 2007-05-23 Subir K. Das , Jürgen Horbach , Kurt Binder