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A variational model to simultaneously treat Stress-Driven Rearrangement Instabilities, such as boundary discontinuities, internal cracks, external filaments, edge delamination, wetting, and brittle fractures, is introduced. The model is…

Analysis of PDEs · Mathematics 2020-06-24 Shokhrukh Yu. Kholmatov , Paolo Piovano

The thin interface limit aims at minimizing the effects arising from a numerical interface thickness, inherent in diffuse interface models of solidification and microstructure evolution such as the phase field model. While the original…

Materials Science · Physics 2020-03-18 Amol Subhedar , Peter K. Galenko , Fathollah Varnik

Vertically stacked van der Waals heterostructures are a lucrative platform for exploring the rich electronic and optoelectronic phenomena in two-dimensional materials. Their performance will be strongly affected by impurities and defects at…

We introduce a new and general continuum thermodynamic framework for the mathematical analysis and computation of adsorption on dynamic interfaces. To the best of our knowledge, there is no formulation available that accounts for the…

Fluid Dynamics · Physics 2013-07-31 Markus Schmuck , Serafim Kalliadasis

Superconducting interfaces have recently been demonstrated to contain a rich variety of effects that give rise to sizable thermoelectric responses and unexpected thermal properties, despite traditionally being considered poor…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 L. Arrachea , A. Braggio , P. Burset , E. J. H. Lee , A. Levy Yeyati , R. Sánchez

The contact line dynamics of a thermal field assisted flow configuration of two immiscible fluids is considered in a narrow thermofluidic pathway. The surfaces of the channel are wetted with predesigned wettabilities and interdigitated…

Fluid Dynamics · Physics 2018-04-23 Golak Kunti , Anandaroop Bhattacharya , Suman Chakraborty

The static and dynamic properties of a Cosserat-type lattice interface of finite thickness are studied, so that both displacements and rotational degrees of freedom are taken into account. The model allows considering interfaces with a…

Materials Science · Physics 2010-05-02 Aleksey A. Vasiliev , Andrey E. Miroshnichenko , Massimo Ruzzene

There are three fundamental physical processes that gives rise to the morphology of a surface: deposition, surface diffusion and desorption. The characteristics of the interfaces generated by the combination of deposition and surface…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez

We find analytical solutions to the Cahn-Hilliard equation for the dynamics of an interface in a system with a conserved order parameter (Model B). We show that, although steady-state solutions of Model B are unphysical in the far-field,…

Soft Condensed Matter · Physics 2009-10-30 R. M. L. Evans , M. E. Cates

Nonequilibrium interfacial thermodynamics is formulated in the presence of surface reactions for the study of diffusiophoresis in isothermal systems. As a consequence of microreversibility and Onsager-Casimir reciprocal relations,…

Chemical Physics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

It has been recently shown that one can understand the Prigogine-Defay ratio at the glass transition in terms of freezing into one of the many inherent states of the undercooled liquid. In the present paper, the treatment is extended to the…

Disordered Systems and Neural Networks · Physics 2016-03-21 U. Buchenau

In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of this model is that reactions between different species occur…

Numerical Analysis · Mathematics 2025-03-24 Zhaoyang Wang , Huaxiong Huang , Ping Lin , Shixin Xu

We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our…

Fluid Dynamics · Physics 2024-01-25 Ran Holtzman , Marco Dentz , Marcel Moura , Mykyta Chubynsky , Ramon Planet , Jordi Ortin

A continuum model of crystalline solid equilibrium is presented in which the underlying periodic lattice structure is taken explicitly into account. This model also allows for both point and line defects in the bulk of the lattice and at…

Materials Science · Physics 2009-10-31 Paolo Cermelli , Shaun Sellers

We find stationary thin-brane geometries that are dual to far-from-equilibrium steady states of two-dimensional holographic interfaces. The flow of heat at the boundary agrees with the result of CFT and the known energy-transport…

High Energy Physics - Theory · Physics 2021-12-01 Constantin Bachas , Zhongwu Chen , Vassilis Papadopoulos

Recent advances in experimental and computational techniques have allowed for an accurate description of the adsorption of ionic liquids on metallic electrodes. It is now well established that they adopt a multi-layered structure, and that…

Materials Science · Physics 2016-03-15 Benjamin Rotenberg , Mathieu Salanne

Knowledge about grain boundary migration is a prerequisite for understanding and ultimately modulating the properties of polycrystalline materials. Evidence from experiments and molecular dynamics (MD) simulations suggests that the…

Materials Science · Physics 2021-12-08 Mahi Gokuli , Brandon Runnels

A thorough understanding of pattern selection is necessary for the control of solidification structures, which are dissipative structures created by irreversible processes. In this paper, we simulate solidification evolution with different…

Materials Science · Physics 2022-10-25 Fengyi Yu , Qiaodan Hu , Jianguo Li

Despite the fundamental importance of solid-solid transformations in many technologies, the microscopic mechanisms remain poorly understood. Here, we explore the atomistic mechanisms at the migrating interface during solid-solid phase…

Materials Science · Physics 2023-10-31 Yanyan Liang , Grisell Díaz Leines , Ralf Drautz , Jutta Rogal

We show that two-dimensional systems of deformable particles undergo a continuous liquid-hexatic transition upon compression or cooling, but no hexatic-solid transition-even at zero temperature and high density. Numerical simulations reveal…

Soft Condensed Matter · Physics 2025-11-20 Jatin Kumar , Wu Zeng , Anshuman Pasupalak , Massimo Pica Ciamarra
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