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There are various methods for modeling phase transformations in materials science, including general classes of phase-field methods and reactive diffusion methodologies, which most importantly differ in their treatment of interface energy.…

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…

Soft Condensed Matter · Physics 2014-01-28 Simon Praetorius , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

The mass and momentum balances are theoretically studied in heterogeneous two-component systems. Following Gibbs the system is presented as two bulk and a single surface phases. Comparing the equations derived with some typical rheological…

Soft Condensed Matter · Physics 2011-04-13 Roumen Tsekov , Boryan Radoev

An interface description and numerical simulations of model A kinetics are used for the first time to investigate the intra-surface kinetics of phase ordering on corrugated surfaces. Geometrical dynamical equations are derived for the…

Statistical Mechanics · Physics 2015-06-25 Oliver Schoenborn , Rashmi C. Desai

We consider a two-dimensional model of a porous medium where circular grains are uniformly distributed in a squared container. We assume that such medium is partially filled with water and that the stationary interface separating the water…

Analysis of PDEs · Mathematics 2015-05-15 Maria Calle , Carlota M. Cuesta , Juan J. L. Velazquez

In this paper we present a balanced phase field model for active surfaces. This work is devoted to the generalization of the Balanced Phase Field Model for Active Contours devised to eliminate the often undesirable curvature-dependent…

Optimization and Control · Mathematics 2018-09-13 Jozsef Molnar , Peter Horvath

We propose a method to describe the short-distance behavior of an interface fluctuating in the presence of the wedge-shaped substrate near the critical filling transition. Two different length scales determined by the average height of the…

Statistical Mechanics · Physics 2009-10-31 A. Bednorz , M. Napiorkowski

We unveil the generation of universal morphologies of fluid interfaces by radiation pressure whatever is the nature of the wave, acoustic or optical. Experimental observations reveal interface deformations endowed with step-like features…

Soft Condensed Matter · Physics 2012-12-21 Nicolas Bertin , Hamza Chraibi , Régis Wunenburger , Jean-Pierre Delville , Etienne Brasselet

Using extensive Monte Carlo simulations we study the phase diagram of a symmetric binary (AB) polymer blend confined into a thin film as a function of the film thickness D. The monomer-wall interactions are short ranged and antisymmetric,…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder

The design of contact interfaces that meet quantitatively a specified friction law (friction force vs normal force) is challenging due to the multi-scale and multi-physics nature of contact interactions. Recently, a concept was proposed to…

This paper discusses a relation between the re-initialization equation of the level-set functions derived by Wac{\l}awczyk [J.Comp.Phys., 299, (2015)] and the condition for the phase equilibrium provided by the stationary solution to the…

Fluid Dynamics · Physics 2018-02-13 Tomasz Wacławczyk

For cellular functions like division and polarization, protein pattern formation driven by NTPase cycles is a central spatial control strategy. Operating far from equilibrium, no general theory links microscopic reaction networks and…

Biological Physics · Physics 2024-10-01 Henrik Weyer , Tobias A. Roth , Erwin Frey

Interfaces such as grain boundaries in polycrystalline as well as heterointerfaces in multiphase solids are ubiquitous in materials science and engineering. Far from being featureless dividing surfaces between neighboring crystals,…

Materials Science · Physics 2024-01-23 Aurélien Vattré

We investigate the influence of quenched disorder on the steady states of driven systems of the elastic interface with non-local hydrodynamic interactions. The generalized elastic model (GEM), which has been used to characterize numerous…

Statistical Mechanics · Physics 2023-08-31 Mohsen Ghasemi Nezhadhaghighi

Level set-based immersed boundary techniques operate on nonconforming meshes while providing a crisp definition of interface and external boundaries. In such techniques, an isocontour of a level set field interpolated from nodal level set…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Jorge L. Barrera , Kurt Maute

The acoustic mismatch model and the diffuse mismatch model have been widely used to predict the thermal interface conductance. However, the acoustic mismatch model (diffuse mismatch model) is based on the hypothesis of a perfectly smooth…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 Yingying Zhang , Dengke Ma , Yi Zang , Nuo Yang

The interface between two materials described by spectrally gapped Hamiltonians is expected to host an in-gap interface mode, whenever a certain topological invariant changes across the interface. We provide a precise statement of this…

Mathematical Physics · Physics 2023-03-01 Guo Chuan Thiang , Hai Zhang

The turbulent/non-turbulent interface is analysed in a direct numerical simulation of a boundary layer in the range $Re_\theta=2800-6600$, with emphasis on the behaviour of the relatively large-scale fractal intermittent region. This…

Fluid Dynamics · Physics 2017-10-23 Guillem Borrell , Javier Jiménez

The dynamics of sharp interfaces separating two non-hydrostatically stressed solids is analyzed using the idea that the rate of mass transport across the interface is proportional to the thermodynamic potential difference across the…

Materials Science · Physics 2009-11-13 Luiza Angheluta , Espen Jettestuen , Joachim Mathiesen

We study the effect of a uniform shear flow on an interface separating the two broken-symmetry ordered phases of a two-dimensional system with nonconserved scalar order parameter. The interface, initially flat and perpendicular to the flow,…

Statistical Mechanics · Physics 2009-10-31 Rui D. M. Travasso , Alan J. Bray , Andrea Cavagna