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Over the last decade, the Lattice Boltzmann method has found major scope for the simulation of a large spectrum of problems in soft matter, from multiphase and multi-component microfluidic flows, to foams, emulsions, colloidal flows, to…

软凝聚态物质 · 物理学 2024-11-25 A. Tiribocchi , M. Durve , M. Lauricella , A. Montessori , J. M. Tucny , S. Succi

The lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is a derivative of lattice gas automata, it…

comp-gas · 物理学 2008-02-03 James D. Sterling , Shiyi Chen

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in…

偏微分方程分析 · 数学 2011-04-01 Helmut Abels

This study aims to validate the lattice Boltzmann method and assess its ability to accurately describe the behavior of gaseous flows in packed beds. To that end, simulations of a model packed bed reactor, corresponding to an experimental…

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

The application of an external field often renders empirical criteria for identifying liquid-gas phase transitions ambiguous. Here, we demonstrate that the finite-size scaling of the density profile provides a definitive criterion to…

统计力学 · 物理学 2025-10-28 Chong Zha , Yanshuang Chen , Cheng-Ran Du , Peng Tan , Yuliang Jin

We present a new diffuse interface model for the dynamics of inextensible vesicles in a viscous fluid. A new feature of this work is the implementation of the local inextensibility condition in the diffuse interface context. Local…

数学物理 · 物理学 2015-06-18 Sebastian Aland , Sabine Egerer , John Lowengrub , Axel Voigt

We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures, covering the whole region from the low temperature domain through the roughening transition to the bulk critical point. The interface…

高能物理 - 格点 · 物理学 2009-10-22 Martin Hasenbusch , Klaus Pinn

We show global well-posedness and exponential stability of equilibria for a general class of nonlinear dissipative bulk-interface systems. They correspond to thermodynamically consistent gradient structure models of bulk-interface…

偏微分方程分析 · 数学 2020-01-06 Karoline Disser

The theory of interfacial properties in liquid-liquid or liquid-vapour systems is nearly 200 years old. The advent of computational tools has greatly advanced the field, mainly through the use of Molecular Dynamics simulations. Despite the…

The vapor-liquid equilibrium (VLE) of the Mie potential, where the dispersive exponent is constant (m = 6) while the repulsive exponent n is varied between 9 and 48, is systematically investigated by molecular simulation. For systems with…

软凝聚态物质 · 物理学 2016-11-24 Stephan Werth , Katrin Stöbener , Martin Horsch , Hans Hasse

We study the dynamics of weakly deformed interfaces separating two stable phases, starting from the fluctuating hydrodynamics of the phase-separating fields. Using a well-chosen definition for the interface and the dynamical-action…

统计力学 · 物理学 2026-05-19 Lila Sarfati , Julien Tailleur , Frédéric van Wijland

We present here exact results for a one-dimensional gas, or fluid, of hard-sphere particles with attractive boundaries. The particles, which can exchange with a bulk reservoir, mediate an interaction between the boundaries. A…

统计力学 · 物理学 2015-05-14 Bartosz Rozycki , Reinhard Lipowsky , Thomas R. Weikl

Complex colloidal fluids, such as emulsions stabilized by complex shaped particles, play an important role in many industrial applications. However, understanding their physics requires a study at sufficiently large length scales while…

软凝聚态物质 · 物理学 2012-04-27 Florian Günther , Florian Janoschek , Stefan Frijters , Jens Harting

We study the boundary conditions at a fluid-solid interface using molecular dynamics simulations covering a broad range of fluid-solid interactions and fluid densities, and both simple and chain-molecule fluids. The slip length is shown to…

统计力学 · 物理学 2009-10-31 Marek Cieplak , Joel Koplik , Jayanth R. Banavar

This work presents a comprehensive framework for enhanced diffusion modeling in fluid-structure interactions by combining the Immersed Boundary Method (IBM) with stochastic trajectories and high-order spectral boundary conditions. Using…

偏微分方程分析 · 数学 2024-10-31 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

An extended volume of fluid method is developed for two-phase direct numerical simulations of systems with one viscoelastic and one Newtonian phase. A complete set of governing equations is derived by conditional volume-averaging of the…

流体动力学 · 物理学 2020-12-08 Matthias Niethammer , Günter Brenn , Holger Marschall , Dieter Bothe

Half-space problems in the kinetic theory of gases are of great importance in the study of the asymptotic behavior of solutions of boundary value problems for the Boltzmann equation for small Knudsen numbers. In this work a generally…

偏微分方程分析 · 数学 2024-01-09 Niclas Bernhoff

The aim of this paper is to compare results from lattice-Boltzmann and Brownian dynamics simulations of linear chain molecules. We have systematically varied the parameters that may affect the accuracy of the lattice-Boltzmann simulations,…

计算物理 · 物理学 2015-05-13 Anthony J. C. Ladd , Rahul Kekre , Jason E. Butler

The height-height correlation function for a fluctuating interface between two coexisting bulk phases is derived by means of general equilibrium properties of the corresponding density-density correlation function. A wavelength-dependent…

软凝聚态物质 · 物理学 2009-11-13 Thorsten Hiester