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A phase-field approach describing the dynamics of a strained solid in contact with its melt is developed. By rigorous asymptotic analysis we show that the sharp-interface limit of this model recovers the continuum model equations for the…

Statistical Mechanics · Physics 2007-05-23 Klaus Kassner , Chaouqi Misbah , Judith Mueller , Jens Kappey , Peter Kohlert

The diffuse-interface model (DIM) is a tool for studying interfacial dynamics. In particular, it is used for modeling contact lines, i.e., curves where a liquid, gas, and solid are in simultaneous contact. As well as all other models of…

Soft Condensed Matter · Physics 2021-09-17 E. S. Benilov

A phase-field approach is proposed for interface failure between two possibly dissimilar materials. The discrete adhesive interface is regularised over a finite width. Due to the use of a regularised crack model for the bulk material, an…

Materials Science · Physics 2019-09-06 Arne Claus Hansen-Dörr , René de Borst , Paul Hennig , Markus Kästner

The interface stresses at of the solid-melt interface are, in general, anisotropic. The anisotropy in the interfacial stress can be evaluated using molecular dynamics (MD) and phase field crystal (PFC) models. In this paper, we report our…

Materials Science · Physics 2021-06-01 Sushil Kumar , Ming-Wei Liu , Kuo-An Wu , M P Gururajan

In this paper, we derive a thermodynamically consistent non-isothermal diffuse interface model for phase transition and interface evolution involving heat transfer. This model is constructed by integrating concepts from classical…

Analysis of PDEs · Mathematics 2025-08-05 Chun Liu , Jan-Eric Sulzbach , Yiwei Wang

We construct a phase field model including hydrodynamics and elasticity in one-component systems. It can be used to investigate solid-liquid and liquid-liquid phase transitions. Upon first-order phase transition, a velocity field is induced…

Soft Condensed Matter · Physics 2015-03-13 Kyohei Takae , Akira Onuki

We consider single-phase flow with solute transport where ions in the fluid can precipitate and form a mineral, and where the mineral can dissolve and release solute into the fluid. Such a setting includes an evolving interface between…

Numerical Analysis · Mathematics 2023-07-25 Carina Bringedal , Alexander Jaust

The phase transition kinetics in three phase systems was investigated using the numerically efficient cell dynamics method. A phasefield model with a simple analytical free energy and single order parameter was used to study the kinetics…

Materials Science · Physics 2010-03-23 Masao Iwamatsu

The morphology of interfaces is known to play fundamental role on the efficiency of energy-related applications, such light harvesting or ion intercalation. Altering the morphology on demand, however, is a very difficult task. Here, we show…

Chemical Physics · Physics 2020-05-20 Dimitrios Fraggedakis , Martin Z. Bazant

Anti-ferromagnetic materials have the possibility to offer ultra fast, high data density spintronic devices. A significant challenge is the reliable detection of the state of the antiferromagnet, which can be achieved using exchange bias.…

Materials Science · Physics 2021-03-17 Sarah Jenkins , Roy. W. Chantrell , Richard. F. L. Evans

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

Three problems in the statistical mechanics of models for an assembly of molecular motors interacting with cytoskeletal filaments are reviewed. First, a description of the hydrodynamical behaviour of density-density correlations in…

Statistical Mechanics · Physics 2009-11-11 Gautam I. Menon

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

The explicit form of the interface equation of motion derived assuming a minimal surface is extended to general bicontinuous interfaces that appear in the diffusion limited stage of the phase separation process of binary mixtures. The…

Statistical Mechanics · Physics 2009-10-31 Hiroyuki Tomita

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

We study the behavior of single atoms on an infinite vicinal surface assuming certain degree of step permeability. Assuming complete lack of re-evaporation an ruling out nucleation the atoms will inevitably join kink sites at the steps but…

Other Condensed Matter · Physics 2018-02-14 Bogdan Ranguelov , Ivan Markov

We report an unexpected mechanism by which an epitaxial interface can form between materials having strongly mismatched lattice constants. A simple model is proposed in which one material tilts out of the interface plane to create a…

Materials Science · Physics 2012-08-10 Steven C. Erwin , Cunxu Gao , Claudia Roder , Jonas Lähnemann , Oliver Brandt

We investigate dynamics of large scale and slow deformations of layered structures. Starting from the respective model equations for a non-conserved system, a conserved system and a binary fluid, we derive the interface equations which are…

Soft Condensed Matter · Physics 2009-10-30 Takao Ohta , David Jasnow

Motivated by solid-solid phase transitions in elastic thin films, we perform a Gamma-convergence analysis for a singularly perturbed energy describing second order phase transitions in a domain of vanishing thickness. Under a two-wells…

Analysis of PDEs · Mathematics 2012-02-29 Bernardo Galvão-Sousa , Vincent Millot

In multiphase flows, kinetic and interfacial energies coexist, and their mutual conversion can strongly influence the overall energy balance. However, in statistically steady flows these energy reservoirs remain constant, making such…

Fluid Dynamics · Physics 2026-02-20 Fabien Thiesset , Jonathan Vahé