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Related papers: Phase-Field Models for Particle-Stabilised Emulsio…

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We develop a multiscale hybrid scheme for simulations of soft condensed matter systems, which allows one to treat the system at the particle level in selected regions of space, and at the continuum level elsewhere. It is derived…

Soft Condensed Matter · Physics 2015-06-17 Shuanhu Qi , Hans Behringer , Friederike Schmid

We present a phase field crystal model for driven systems which describes competing effects between thermally activated diffusional processes and those driven by externally imposed ballistic events. The model demonstrates how the mesoscopic…

Materials Science · Physics 2015-06-11 Nana Ofori-Opoku , Jeffrey J. Hoyt , Nikolas Provatas

A phase-field model that takes into account the bending energy of fluid vesicles is presented. The Canham-Helfrich model is derived in the sharp-interface limit. A dynamic equation for the phase-field has been solved numerically to find…

Soft Condensed Matter · Physics 2007-05-23 F. Campelo , A. Hernandez-Machado

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

Computational Physics · Physics 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng

A multiscale scheme combining molecular dynamics (MD) and microscopic phase-field theory is proposed to study the structural phase transformations in solids with inhomogeneous strain field. The approach calculates strain response based on…

Materials Science · Physics 2007-05-23 Zhi-Rong Liu , Huajian Gao

Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain solid and liquid phases, however many important materials…

Materials Science · Physics 2015-06-16 Edwin J. Schwalbach , James A. Warren , Kuo-An Wu , Peter W. Voorhees

A phase-field model that allows for quantitative simulations of low-speed eutectic and peritectic solidification under typical experimental conditions is developed. Its cornerstone is a smooth free-energy functional, designed so that the…

Materials Science · Physics 2009-11-11 R. Folch , M. Plapp

The description of surface-diffusion controlled dynamics via the phase-field method is less trivial than it appears at first sight. A seemingly straightforward approach from the literature is shown to fail to produce the correct…

Computational Physics · Physics 2017-03-13 Clemens Mueller-Gugenberger , Robert Spatschek , Klaus Kassner

The paper considers a thermodynamically consistent phase-field model of a two-phase flow of incompressible viscous fluids. The model allows for a non-linear dependence of fluid density on the phase-field order parameter. Driven by…

Numerical Analysis · Mathematics 2023-09-27 Yerbol Palzhanov , Alexander Zhiliakov , Annalisa Quaini , Maxim Olshanskii

A continuum density-field formulation with particle-scale resolution is constructed to simultaneously incorporate the orientation dependence of interparticle interactions and the rotational invariance of the system, a fundamental but…

Materials Science · Physics 2018-05-28 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than…

Materials Science · Physics 2016-08-31 Alain Karma

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

Numerical Analysis · Mathematics 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

The morphogenesis of cells and tissues involves an interplay between chemical signals and active forces on their surrounding surface layers. The complex interaction of hydrodynamics and material flows on such active surfaces leads to…

Cell Behavior · Quantitative Biology 2023-06-30 Sebastian Aland , Claudia Wohlgemuth

Dissipative particle dynamics (DPD) is an effective mesoscopic particle model with a lower computational cost than molecular dynamics because of the soft potentials that it employs. However, the soft potential is not strong enough to…

Computational Physics · Physics 2018-07-27 Zhijie Xu , Paul Meakin

We propose a continuum theory of the liquid-liquid phase separation in an elastic network where phase-separated microscopic droplets rich in one fluid component can form as an interplay of fluids mixing, droplet nucleation, network…

Soft Condensed Matter · Physics 2021-01-04 Xuefeng Wei , Jiajia Zhou , Yanting Wang , Fanlong Meng

Step-emulsification is a microfluidic technique for droplet generation which relies on the abrupt decrease of confinement of a liquid filament surrounded by a continuous phase. A striking feature of this geometry is the transition between…

Fluid Dynamics · Physics 2014-09-19 M. Hein , S. Afkhami , R. Seemann , L. Kondic

Phase-field modeling -- a continuous approach to discontinuities -- is gaining popularity for simulating rock fractures due to its ability to handle complex, discontinuous geometry without an explicit surface tracking algorithm. None of the…

Geophysics · Physics 2022-11-24 Fan Fei , Jinhyun Choo , Chong Liu , Joshua A. White

We investigate a phase-field-crystal model for homogeneous nucleation. Instead of solving the time evolution of a density field towards equilibrium we use a String Method to identify saddle points in phase space. The saddle points allow to…

Statistical Mechanics · Physics 2014-07-04 Rainer Backofen , Axel Voigt

The sedimentation process of granular materials exists ubiquitously in nature and many fields which involve the solid-liquid separation. This paper employs the coupled computational fluid dynamics and discrete element method (CFD-DEM) to…

Fluid Dynamics · Physics 2017-11-07 Shan-Lin Xu , Rui Sun , Yuan-Qiang Cai , Hong-Lei Sun

We propose a new mechanism to create self-assembled porous media with highly tunable geometrical properties and permeabilities: We first allow a particle-stabilized emulsion to form from a mixture of two fluids and colloidal particles.…

Soft Condensed Matter · Physics 2024-08-08 Stefan Frijters , Jens Harting