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An analytical solution is obtained for the problem of the slow movement of a small drop of a fluid in another immiscible fluid in an infinitely large reservoir with the boundary condition of the normal slip and/or tangential partial slip at…

流体动力学 · 物理学 2026-04-21 Peter Lebedev-Stepanov

This paper is concerned with a diffuse interface model for the gas-liquid phase transition. The model consists the compressible Navier-Stokes equations with van der Waals equation of state and a modified Allen-Cahn equation. The global…

偏微分方程分析 · 数学 2018-10-02 Qiaolin He , Ming Mei , Xiaoding Shi , Xiaoping Wang

We study the structural and thermodynamic properties of a model of point particles interacting by means of a Gaussian pair potential first introduced by Stillinger [Stillinger F H 1976 J. Chem. Phys. 65, 3968]. By employing integral…

软凝聚态物质 · 物理学 2009-10-31 A. Lang , C. N. Likos , M. Watzlawek , H. Lowen

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

统计力学 · 物理学 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

Introduced is a lattice-gas with long-range 2-body interactions. An effective inter-particle force is mediated by momentum exchanges. There exists the possibility of having both attractive and repulsive interactions using finite impact…

comp-gas · 物理学 2008-02-03 Jeffrey Yepez

We perform a study of the interfacial properties of a model suspension of hard sphere colloids with diameter $\sigma_c$ and non-adsorbing ideal polymer coils with diameter $\sigma_p$. For the mixture in contact with a planar hard wall, we…

软凝聚态物质 · 物理学 2009-11-11 Andrea Fortini , Marjolein Dijkstra , Matthias Schmidt , Paul P. F. Wessels

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…

统计力学 · 物理学 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

We propose and study a one-dimensional model which consists of two cross-diffusion systems coupled via a moving interface. The motivation stems from the modelling of complex diffusion processes in the context of the vapor deposition of thin…

偏微分方程分析 · 数学 2024-07-23 Clément Cancès , Jean Cauvin-Vila , Claire Chainais-Hillairet , Virginie Ehrlacher

The dynamics of a thin layer of liquid, between a flat solid substrate and an infinitely-thick layer of saturated vapor, is examined. The liquid and vapor are two phases of the same fluid, governed by the diffuse-interface model. The…

统计力学 · 物理学 2021-09-27 E. S. Benilov

The transport coefficients of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the number density of the granular gas is much smaller than that of the surrounding molecular gas, so that the…

软凝聚态物质 · 物理学 2022-06-07 Rubén Gómez González , Vicente Garzó

The crystal-melt interfaces of a binary hard-sphere fluid mixture in coexistence with a single-component hard-sphere crystal is investigated using molecular-dynamics simulation. In the system under study, the fluid phase consists of a…

化学物理 · 物理学 2009-11-07 Rachel Sibug-Aga , Brian B. Laird

We study closed dense collections of hard spheres that collide inelastically with constant coefficient of normal restitution. We find inhomogeneous states (IS) where the density profile is spatially non-uniform but constant in time. The…

混沌动力学 · 物理学 2014-02-19 Itzhak Fouxon

The formation and entrapment of gas bubbles during solidification significantly influence the microstructure and mechanical properties of materials, from metallic alloys to ice. While gas segregation at the solidification front is…

软凝聚态物质 · 物理学 2026-04-14 Bastien Isabella , Cécile Monteux , Sylvain Deville

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle…

软凝聚态物质 · 物理学 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

The phase-field-crystal model is used to access the structure and thermodynamics of interfaces between two coexisting liquid crystalline phases in two spatial dimensions. Depending on the model parameters there is a variety of possible…

软凝聚态物质 · 物理学 2014-01-28 Simon Praetorius , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

We study the dynamical behavior of a one dimensional interface interacting with a sticky unpenetrable substrate or wall. The interface is subject to two effects going in opposite directions. Contact between the interface and the substrate…

概率论 · 数学 2020-07-20 Hubert Lacoin , Shangjie Yang

A simple fluid, described by point-like particles interacting via the Lennard-Jones potential, is considered under confinement in a slit geometry between two walls at distance Lz apart for densities inside the vapor-liquid coexistence…

软凝聚态物质 · 物理学 2009-11-13 Katarzyna Bucior , Leonid Yelash , Kurt Binder

Experimental investigations of hydrophobic/water interfaces often return controversial results, possibly due to the unknown role of gas accumulation at the interfaces. Here, during advanced atomic force microscopy of the initial evolution…

介观与纳米尺度物理 · 物理学 2015-12-29 Ing-Shouh Hwang , Chung-Kai Fang , Hsien-Chen Ko , Chih-Wen Yang , Yi-Hsien Lu

In this paper we revisit the derivation of boundary conditions for the Boltzmann Equation. The interaction between the wall atoms and the gas molecules within a thin surface layer is described by a kinetic equation introduced in [9] and…

偏微分方程分析 · 数学 2013-06-20 Stéphane Brull , Pierre Charrier , Luc Mieussens

A steady state of a granular gas with homogeneous granular temperature, no mass flow, and nonzero heat flux is studied. The state is created by applying an external position--dependent force or by enclosing the grains inside a curved…

统计力学 · 物理学 2016-10-31 Nagi Khalil