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The characterisation of the dynamic properties of viscoelastic monolayers of surfactants at the gasliquid interface is very important in the analysis and prediction of foam stability. With most of the relevant dynamic processes being rapid…

In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the…

Mathematical Physics · Physics 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

Precise measurements in optical and atomic systems often rely on differential interferometry. This method allows to handle large and correlated phase noise contributions -- such as environmental vibrations, thermal fluctuations, or…

Quantum Physics · Physics 2025-03-25 Luca Pezzè , Andrea Santoni , Chiara Mazzinghi , Marco Fattori , Augusto Smerzi

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

An analytical solution based on a diffuse interface model is presented for an isothermal evaporation problem under sub-saturation pressure. The macroscopic equations are derived from the free-energy method, widely recognized in the lattice…

In this paper, we present a numerical scheme for the diffuse-interface model in [Abels, Garcke, Gr\"un, M3AS 22(3), 2012] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with…

Numerical Analysis · Mathematics 2012-10-19 Günther Grün , Fabian Klingbeil

We revisit the sharp-interface continuum thermodynamics of two-phase multicomponent fluid systems with interfacial mass. Since the published work is not fully consistent, we provide a rigorous derivation of the local balance equations and…

Fluid Dynamics · Physics 2022-08-15 Dieter Bothe

We characterize both analytically and numerically short-range forces between spatially diffuse interfaces in multi-phase-field models of polycrystalline materials. During late-stage solidification, crystal-melt interfaces may attract or…

Materials Science · Physics 2015-05-14 N. Wang , R. Spatschek , A. Karma

In this paper, we introduce an interfacial profile-preserving approach for phase field modeling for simulating incompressible two-phase flows. While the advective Cahn-Hilliard equation effectively captures the topological evolution of…

Fluid Dynamics · Physics 2023-10-03 Haohao Hao , Xiangwei Li , Chenglin Jiang , Huanshu Tan

We describe and analyze a quantum thermometer based on a multilayered collisional model. We propose a qubit system whose architecture provides significant sensitivity even for short interaction times between the ancillae that compose the…

Quantum Physics · Physics 2025-12-02 Taysa M. Mendonça , Diogo O. Soares-Pinto , Mauro Paternostro

Thermal multi-phase flow simulations are indispensable to understanding the multi-scale and multi-physics phenomena in metal additive manufacturing (AM) processes, yet accurate and robust predictions remain challenging. This book chapter…

Computational Engineering, Finance, and Science · Computer Science 2022-06-13 Jinhui Yan , Qiming Zhu , Ze Zhao

Diffusion-based data augmentation (DiffDA) has emerged as a promising approach to improving classification performance under data scarcity. However, existing works vary significantly in task configurations, model choices, and experimental…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zekun Li , Yinghuan Shi , Yang Gao , Dong Xu

The calculation of the interfacial free energy between two thermodynamic phases is crucial across various fields, including materials science, chemistry, and condensed matter physics. In this study, we apply an existing thermodynamic…

Soft Condensed Matter · Physics 2024-11-26 Ignacio Sanchez-Burgos , Pablo Montero de Hijes , Eduardo Sanz , Carlos Vega , Jorge R. Espinosa

In recent prior work, the author derived interfacial mass and heat flux conditions for phase-change processes. The mass flux condition is identical to the Schrage equation, but the additional heat flux expression enables one to couple the…

Applied Physics · Physics 2025-01-29 Gang Chen

The diffusion model has gained popularity in vision applications due to its remarkable generative performance and versatility. However, high storage and computation demands, resulting from the model size and iterative generation, hinder its…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Junhyuk So , Jungwon Lee , Daehyun Ahn , Hyungjun Kim , Eunhyeok Park

We provide a quantitative picture of non-conserved interface growth from a diffusive field making special emphasis on two main issues, the range of validity of the effective small-slopes (interfacial) theories and the interplay between the…

Statistical Mechanics · Physics 2009-11-13 Matteo Nicoli , Mario Castro , Rodolfo Cuerno

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

A general approach for transforming phase field equations into generalized curvilinear coordinates is proposed in this work. The proposed transformation can be applied to isotropic, non-isotropic, and curvilinear grids without adding any…

Computational Physics · Physics 2024-12-02 Henry Collis , Shahab Mirjalili , Ali Mani

We present calculations of free energy barriers and diffusivities as functions of temperature for the diffusion of hydrogen in bcc-Fe. This is a fully quantum mechanical approach since the total energy landscape is computed using a new self…

Materials Science · Physics 2015-06-15 I. H. Katzarov , A. T. Paxton , D. L. Pashov

Voids develop in crystalline materials under energetic particle irradiation, as in nuclear reactors. Understanding the underlying mechanisms of void nucleation and growth is of utmost importance as it leads to dimensional instability of the…

Materials Science · Physics 2024-05-24 Sreekar Rayaprolu , Kyle Starkey , Anter El-Azab