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Understanding the interface dynamics in non-equilibrium quantum systems remains a challenge. We study the interface dynamics of strongly coupled immiscible binary superfluids by using holographic duality. The full nonlinear evolution of the…

Quantum Gases · Physics 2024-05-30 Yu-Ping An , Li Li , Chuan-Yin Xia , Hua-Bi Zeng

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

Materials Science · Physics 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

Materials Science · Physics 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

We introduce a new regularized interface method for proving existence of weak solutions to nonlinear moving boundary problems with low-regularity interfaces. We study a fluid-poroelastic structure interaction (FPSI) problem coupling the…

Analysis of PDEs · Mathematics 2025-08-26 Jeffrey Kuan , Sunčica Čanić , Boris Muha

We propose a novel approach to continuum modeling of the dynamics of crystal surfaces. Our model follows the evolution of an ensemble of step configurations, which are consistent with the macroscopic surface profile. Contrary to the usual…

Statistical Mechanics · Physics 2009-11-07 Navot Israeli , Daniel kandel

Simulations of fluid flow in naturally fractured rocks have implications for several subsurface applications, including energy storage and extraction, and waste storage. We are interested in flow in discrete fracture networks, which…

Numerical Analysis · Mathematics 2018-11-14 Alessio Fumagalli , Eirik Keilegavlen , Stefano Scialò

Abstract. The present work considers a change in the momentum under the transfer of a solution through the interface. It is shown that pressure related to the partial volumes of components arises in a solution under diffusion. As a result,…

Statistical Mechanics · Physics 2021-02-16 Alex Guskov

We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressible Stokes equations. We propose a diffuse interface model in…

Numerical Analysis · Mathematics 2024-07-09 Francis R. A. Aznaran , Martina Bukač , Boris Muha , Abner J. Salgado

Soft lubricated contacts exhibit complex interfacial behaviours governed by the coupled effects of multiscale surface roughness and non-linear fluid-solid interactions. Accurately capturing this interplay across thin-film flows is…

Soft Condensed Matter · Physics 2025-11-12 Qian Wang , Suhaib Ardah , Tom Reddyhoff , Daniele Dini

We examine, using molecular dynamics simulation, the structure and thermodynamics of the (100) and (111) disordered face-centered cubic (FCC) crystal/melt interfaces for a binary hard-sphere system. This study is an extension of our…

Statistical Mechanics · Physics 2009-10-31 Ruslan L. Davidchack , Brian. B. Laird

We consider a moving interface that is coupled to an elliptic equation in a heterogeneous medium. The problem is motivated by the study of displacive solid-solid phase transformations. We show that a nearly flat interface is given by the…

Analysis of PDEs · Mathematics 2012-06-13 Patrick W. Dondl , Kaushik Bhattacharya

Coarsening kinetics is usually described using a linear gradient approximation for the underlying interface migration (IM) rates, wherein the migration fluxes at the interfaces vary linearly with the driving force. Recent experimental…

Materials Science · Physics 2007-05-23 M. Upmanyu , P. A. Martin , A. D. Rollett

The ability to independently deploy parts of a software system is one of the cornerstones of modern software development, and allows for these parts to evolve independently and at different speeds. A major challenge of such independent…

Software Engineering · Computer Science 2021-03-24 Holger Knoche , Wilhelm Hasselbring

Triangulated meshes have become ubiquitous discrete-surface representations. In this paper we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Andrei Zaharescu , Edmond Boyer , Radu Horaud

We study pattern formation, fluctuations and scaling induced by a growth-promoting active walker on an otherwise static interface. Active particles on an interface define a simple model for energy consuming proteins embedded in the plasma…

Statistical Mechanics · Physics 2019-11-28 Prachi Bisht , Mustansir Barma

This study investigates human-computer interface generation based on diffusion models to overcome the limitations of traditional template-based design and fixed rule-driven methods. It first analyzes the key challenges of interface…

Human-Computer Interaction · Computer Science 2026-01-13 Rui Liu , Liuqingqing Yang , Runsheng Zhang , Shixiao Wang

Most technologically useful materials are polycrystalline microstructures composed of a myriad of small monocrystalline grains separated by grain boundaries. The energetics and connectivities of grain boundaries play a crucial role in…

Analysis of PDEs · Mathematics 2020-08-20 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

The movement of grain boundaries in pure metals and alloys with a low concentration of dislocations has been historically proved to follow curvature flow behavior. This mechanism is typically known as grain growth (GG). However, recent 3D…

Nanoscale diffusion at the interfaces in multilayers plays a vital role in controlling their physical properties for a variety of applications. In the present work depth-dependent interdiffusion in a Si/Fe/Si trilayer has been studied with…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ajay Gupta , Dileep Kumar , Vaishali Phatak

Insoluble surfactants adsorbed at liquid-liquid or gas-liquid interfaces alter interfacial tension, leading to variations in the normal stress jump and generating tangential Marangoni stresses that can dramatically affect the flow dynamics.…

Fluid Dynamics · Physics 2025-07-15 Zhong-Han Xue , Jacques Magnaudet , Jie Zhang