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We present a new multiphase-field theory for describing pattern formation in multi-domain and/or multi-component systems. The construction of the free energy functional and the dynamic equations is based on criteria that ensure mathematical…

Materials Science · Physics 2015-12-09 Gyula I. Toth , Tamas Pusztai , Laszlo Granasy

A thin-interface phase-field model of electrochemical interfaces is developed based on Marcus kinetics for concentrated solutions, and used to simulate dendrite growth during electrodeposition of metals. The model is derived in the grand…

Materials Science · Physics 2015-07-22 Daniel A. Cogswell

A framework is introduced for expressing electromagnetic (EM) potentials and fields of single atomic or molecular emitters modeled as oscillating dipoles, which follows a recently proposed method for solving inhomogeneous wave equations for…

Quantum Physics · Physics 2026-03-03 Valerica Raicu

Several electrochemical and electrical energy storage devices are reported every day, with the claim of outperforming the established ones. The use of newer materials and recent advanced techniques to synthesize and/or assemble them into a…

We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

We present a mechanistic theory for predicting void evolution in the Li metal electrode during the charge and discharge of all-solid-state battery cells. A phase field formulation is developed to model vacancy annihilation and nucleation,…

Materials Science · Physics 2022-08-31 Y. Zhao , R. Wang , E. Martínez-Pañeda

Electrochemical kinetics at electrode-electrolyte interfaces are crucial to understand high-rate behavior of energy storage devices. Phase transformation of electrodes is typically treated under equilibrium thermodynamic conditions, while…

Materials Science · Physics 2022-12-15 Rachel C. Kurchin , Dhairya Gandhi , Venkatasubramanian Viswanathan

A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between…

Numerical Analysis · Mathematics 2020-12-11 Lingyue Shen , Zhiliang Xu , Ping Lin , Huaxiong Huang , Shixin Xu

An electro-chemo-mechanical phase-field formulation is developed to simulate pitting and stress corrosion in polycrystalline materials. The formulation incorporates dependencies of mechanical properties and corrosion potential on…

Computational Engineering, Finance, and Science · Computer Science 2024-04-01 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

Electrochemical interfaces are of fundamental importance in electrocatalysis, batteries, and metal corrosion. Finite-field methods are one of most reliable approaches for modeling electrochemical interfaces in complete cells under realistic…

Chemical Physics · Physics 2025-06-13 Chaoqiang Feng , Bin Jiang

The modelling of electrokinetic flows is a critical aspect spanning many industrial applications and research fields. This has introduced great demand in flexible numerical solvers to describe these flows. The underlying phenomena are…

Numerical Analysis · Mathematics 2023-11-08 Robert Barnett , Federico Municchi , John King , Matteo Icardi

Atomistic modelling of phase transitions, chemical reactions, or other rare events that involve overcoming high free energy barriers usually entails prohibitively long simulation times. Introducing a bias potential as a function of an…

Computational Physics · Physics 2019-11-06 Federico Giberti , Bingqing Cheng , Gareth Aneurin Tribello , Michele Ceriotti

Combustion stabilization and enhancement of the flammability limits are mandatory objectives to improve nowadays combustion chambers. At this purpose, the use of an electric field in the flame region provides a solution which is, at the…

Fluid Dynamics · Physics 2017-12-13 M. Di Renzo , P. De Palma , M. D. de Tullio , G. Pascazio

In this paper, we present a study on how to develop an efficient multiscale simulation strategy for the dynamics of chemically active systems on low-dimensional supports. Such reactions are encountered in a wide variety of situations,…

Computational Physics · Physics 2015-06-04 Giacomo Mazzi , Yannick De Decker , Giovanni Samaey

We present a novel phase-field model development capability in the open source MOOSE finite element framework. This facility is based on the 'modular free energy' approach in which the phase-field equations are implemented in a general form…

Materials Science · Physics 2017-02-28 Daniel Schwen , Larry K. Aagesen , John W. Peterson , Michael R. Tonks

A flexible treatment for gas- and aerosol-phase chemical processes has been developed for models of diverse scale, from box models up to global models. At the core of this novel framework is an "abstracted aerosol representation" that…

Computational Engineering, Finance, and Science · Computer Science 2021-11-16 Matthew L. Dawson , Christian Guzman , Jeffrey H. Curtis , Mario Acosta , Shupeng Zhu , Donald Dabdub , Andrew Conley , Matthew West , Nicole Riemer , Oriol Jorba

We develop a method for modeling and simulating a class of two-phase flows consisting of two immiscible incompressible dielectric fluids and their interactions with imposed external electric fields in two and three dimensions. We first…

Numerical Analysis · Mathematics 2024-07-08 Jielin Yang , Ivan C. Christov , Suchuan Dong

A better understanding of interfacial mechanisms is needed to improve the performances of electrochemical devices. Yet, simulating an electrode surface at fixed electrolyte composition remains a challenge. Here we apply a finite electric…

Materials Science · Physics 2019-11-13 Thomas Dufils , Guillaume Jeanmairet , Benjamin Rotenberg , Michiel Sprik , Mathieu Salanne

We study under which conditions an overdamped regime can be attained in the dynamic evolution of a quantum field configuration. Using a real-time formulation of finite temperature field theory, we compute the effective evolution equation of…

High Energy Physics - Phenomenology · Physics 2011-05-05 Arjun Berera , Marcelo Gleiser , Rudnei O. Ramos

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor