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In the first part, the stability of two-dimensional parallel flow is discussed. A more restrictively general stability criterion for inviscid parallel flow is obtained analytically. In the second part, we report the numerical simulations of…

Fluid Dynamics · Physics 2009-05-21 Liang Sun

We report a detailed simulation study of the phase behavior of core softened system with attractive well. Different repulsive shoulder widthes and attractive well depthes are considered which allows to monitor the influence of repulsive and…

Soft Condensed Matter · Physics 2015-05-19 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok

Monte Carlo computer simulations of a quasi two dimensional (2D) dipolar fluid at low and intermediate densities indicate that the structure of the fluid is well described by an ideal mixture of self-assembling clusters. A detailed analysis…

Soft Condensed Matter · Physics 2007-05-23 J. M. Tavares , J. J. Weis , M. M. Telo da Gama

We consider a model fluid with long-ranged, dispersion interparticle potentials confined between competing parallel walls. One wall is solvophilic and would be completely wet at bulk liquid-gas coexistence while the other is solvophobic and…

Soft Condensed Matter · Physics 2015-06-05 M. C. Stewart , R. Evans

A new Monte Carlo approach is proposed to investigate the fluid-solid phase transition of the polydisperse system. By using the extended ensemble, a reversible path was constructed to link the monodisperse and corresponding polydisperse…

Soft Condensed Matter · Physics 2008-07-08 Mingcheng Yang , Hongru Ma

In this paper, we present a numerical scheme for the diffuse-interface model in [Abels, Garcke, Gr\"un, M3AS 22(3), 2012] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with…

Numerical Analysis · Mathematics 2012-10-19 Günther Grün , Fabian Klingbeil

We study the phase behavior of a classical system of particles interacting through a strictly convex soft-repulsive potential which, at variance with the pairwise softened repulsions considered so far in the literature, lacks a region of…

Soft Condensed Matter · Physics 2009-09-17 Franz Saija , Santi Prestipino , Gianpietro Malescio

We perform Monte Carlo simulation of the thermodynamic and structural properties of Hard-, Square-Well, and Square-Shoulder Disks in narrow channels. For the thermodynamics we study the internal energy per particle and the longitudinal and…

Statistical Mechanics · Physics 2024-04-15 Riccardo Fantoni

In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a view to validating the various methodologies for future…

Fluid Dynamics · Physics 2019-11-28 Lennon Ó Náraigh , Daniel R. Jansen van Vuuren

We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. This model was recently introduced in a previous paper of ours, where we proved existence of…

Analysis of PDEs · Mathematics 2014-06-09 Michela Eleuteri , Elisabetta Rocca , Giulio Schimperna

The solid-solid coexistence of a polydisperse hard sphere system is studied by using the Monte Carlo simulation. The results show that for large enough polydispersity the solid-solid coexistence state is more stable than the single-phase…

Soft Condensed Matter · Physics 2009-11-13 Mingcheng Yang , Hongru Ma

Bounded plasmas are characterized by a rapid but smooth transition from quasi-neutrality in the volume to electron depletion close to the electrodes and chamber walls. The thin non-neutral region, the boundary sheath, comprises only a small…

Phase transitions are uncommon among homogenous one-dimensional fluids of classical particles owing to a general non-existence result due to van Hove. A way to circumvent van Hove's theorem is to consider an interparticle potential that is…

Soft Condensed Matter · Physics 2014-10-29 S. Prestipino

A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the nonlinear stage of the…

Fluid Dynamics · Physics 2020-07-15 Alexander Chesnokov , Valery Liapidevskii

Phase field models for two-phase flow with a surfactant soluble in possibly both fluids are derived from balance equations and an energy inequality so that thermodynamic consistency is guaranteed. Via a formal asymptotic analysis, they are…

Fluid Dynamics · Physics 2013-03-12 Harald Garcke , Kei Fong Lam , Björn Stinner

Using grand canonical Monte Carlo simulations, we investigate the percolation behavior of a square well fluid with an ultra-short range of attraction in three dimension (3D) and in confined geometry. The latter is defined through two…

Soft Condensed Matter · Physics 2012-11-07 Helge Neitsch , Sabine H. L. Klapp

Effective pair interactions with a soft-repulsive component are a well-known feature of polymer solutions and colloidal suspensions, but they also provide a key to interpret the high-pressure behaviour of simple elements. We have computed…

Soft Condensed Matter · Physics 2009-09-08 Santi Prestipino , Franz Saija , Gianpietro Malescio

We have recently developed a simulation approach to calculate the equilibrium phase diagram of particle-based microphase formers. Here, this approach is used to calculate the phase behavior of the square-well linear model for different…

Soft Condensed Matter · Physics 2016-08-02 Yuan Zhuang , Patrick Charbonneau

In this paper, we present a unified nonequilibrium model of continuum mechanics for compressible multiphase flows. The model, which is formulated within the framework of Symmetric Hyperbolic Thermodynamically Compatible (SHTC) equations,…

Numerical Analysis · Mathematics 2024-04-02 Davide Ferrari , Ilya Peshkov , Evgeniy Romenski , Michael Dumbser

The phase structure of self-avoiding polymerized membranes is studied by extensive Hybrid Monte Carlo simulations. Several folding transitions from the flat to a collapsed state are found. Using a suitable order parameter and finite size…

Condensed Matter · Physics 2009-10-28 Christian Münkel , Dieter W. Heermann