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We introduce a lattice model of dimers with directional interactions as a paradigm of molecular fluids or strongly correlated Cooper pairs in electronic systems. The model supports an intermediate phase that is common to both systems. There…

Materials Science · Physics 2007-05-23 F. Semerianov , P. D. Gujrati

Letting free polymers diffuse from solution into a crosslinked polymer gel is often a crucial processing step in the synthesis of multiphase polymer-based gels, e.g., core-shell microgels. Here we use coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2024-12-17 Jude Ann Vishnu , Torsten Gereon Linder , Sebastian Seiffert , Friederike Schmid

A diffused-interface approach based on the Allen-Cahn phase field equation is developed within a high-order Discontinuous Galerkin framework. The interface capturing technique is based on the balance between explicit diffusion and…

Fluid Dynamics · Physics 2023-06-09 Niccolò Tonicello , Matthias Ihme

Wetting is fundamental to many technological applications that involve the motion of the fluid-fluid interface on a solid. While static wetting is well understood in the context of thermodynamic equilibrium, dynamic wetting is more…

Fluid Dynamics · Physics 2021-08-16 Shahriar Afkhami

In this work, we first propose a diffuse-interface model for the freezing processes of three-phase flows in complex geometries, and the core of the model to intergratge the Navier-Stokes equations for fluid flows, a modified phase-field…

Fluid Dynamics · Physics 2025-10-22 Jiangxu Huang , Chengjie Zhan , Zhenhua Chai , Changsheng Huang

We determine the interface tension for the 100, 110 and 111 interface of the simple cubic Ising model with nearest-neighbour interaction using novel simulation methods. To overcome the droplet/strip transition and the droplet nucleation…

Statistical Mechanics · Physics 2009-07-20 Elmar Bittner , Andreas Nußbaumer , Wolfhard Janke

A general adsorption model is developed to describe the interactions between near-wall fluid molecules and solid surface. This model serves as a framework for the theoretical modelling of the boundary slip phenomena. Based on this…

Soft Condensed Matter · Physics 2016-12-26 Jian-Jun Shu , Ji Bin Melvin Teo , Weng Kong Chan

A local turbulence model is developed to study energy cascades in the interstellar medium (ISM) based on self-consistent two-dimensional fluid simulations. The model describes a partially ionized magnetofluid interstellar medium (ISM) that…

Space Physics · Physics 2015-05-13 Dastgeer Shaikh , Gary P. Zank

For partial wetting, motion of the triple liquid-gas-solid contact line is influenced by heterogeneities of the solid surface. This influence can be strong in the case of inertial (e.g. oscillation) flows where the line can be pinned or…

Classical Physics · Physics 2008-02-19 Vadim S. Nikolayev , Sergey L. Gavrilyuk , Henri Gouin

This paper presents a three-dimensional framework for simulating dynamic wetting phenomena using the volume of fluid (VOF) method, implemented in Basilisk. A geometric interpolation scheme is developed to obtain an accurate and reliable…

Fluid Dynamics · Physics 2025-09-26 Yifan Han , Gerd Mutschke , Kerstin Eckert

Discrete diffusion models form a powerful class of generative models across diverse domains, including text and graphs. However, existing approaches face fundamental limitations. Masked diffusion models suffer from irreversible errors due…

Machine Learning · Computer Science 2026-04-21 Marcel Kollovieh , Sirine Ayadi , Stephan Günnemann

We investigate a non-isothermal diffuse-interface model that describes the dynamics of two-phase incompressible flows with thermo-induced Marangoni effect. The governing PDE system consists of the Navier--Stokes equations coupled with…

Analysis of PDEs · Mathematics 2023-07-28 Hao Wu

We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges including discontinuities in the density field by several…

Computational Engineering, Finance, and Science · Computer Science 2024-11-04 Magdalena Schreter-Fleischhacker , Peter Munch , Nils Much , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

We introduce a diffuse-interface Landau-de Gennes free energy for nematic liquid crystals (NLC) systems, with free boundaries, in three dimensions submerged in isotropic liquid, and a phase field is introduced to model the deformable…

Analysis of PDEs · Mathematics 2025-09-23 Dawei Wu , Baoming Shi , Yucen Han , Pingwen Zhang , Apala Majumdar , Lei Zhang

Filaments are ubiquitous within the microscopic world. They occur frequently in both biological and industrial environments and display varied and rich dynamics. Their wide range of applications has spurred the development of a special…

Fluid Dynamics · Physics 2023-03-31 Lyndon Koens , Benjamin J. Walker

We present a collision model for phase-resolved Direct Numerical Simulations of sediment transport that couple the fluid and particles by the Immersed Boundary Method. Typically, a contact model for these types of simulations comprises a…

Fluid Dynamics · Physics 2017-04-18 Edward Biegert , Bernhard Vowinckel , Eckart Meiburg

We apply to a liquid of linear molecules the semischematic mode-coupling model, previously introduced to describe the center of mass (COM) slow dynamics of a network-forming molecular liquid. We compare the theoretical predictions and…

Soft Condensed Matter · Physics 2009-10-31 Linda Fabbian , Rolf Schilling , Francesco Sciortino , Piero Tartaglia , Christoph Theis

Soft modulated phases have been shown to undergo complex morphological transitions, in which layer remodeling induced by mean and Gaussian curvatures plays a major role. This is the case in smectic films under thermal treatment, where focal…

Soft Condensed Matter · Physics 2020-08-03 Eduardo Vitral , Perry H. Leo , Jorge Viñals

This paper provides open-source code that works as a viscometer of particle-based simulations of three-dimensional fluid-particle interaction systems, targetting slurry or suspension flow in chemical engineering. The smoothed dissipative…

Computational Physics · Physics 2020-02-11 Satori Tsuzuki

The purpose of this communication is to discuss the simulation of a free surface compressible flow between two fluids, typically air and water. We use a two fluid model with the same velocity, pressure and temperature for both phases. In…

Computational Physics · Physics 2020-02-20 Frederic Dias , Denys Dutykh , Jean-Michel Ghidaglia
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