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Phase field methods have been widely used to study phase transitions and polarization switching in ferroelectric thin films. In this paper, we develop an efficient numerical scheme for the variational phase field model based on variational…

Computational Physics · Physics 2020-12-22 Ruotai Li , Qiang Du , Lei Zhang

We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the…

Quantum Physics · Physics 2025-09-26 Ron Belyansky , Cheyne Weis , Ryo Hanai , Peter B. Littlewood , Aashish A. Clerk

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

We report a kinetic Monte Carlo modeling study of nanocrystal layer sintering. Features that are of interest for the dynamics of the layer as a whole, especially the morphology of the evolving structure, are considered. It is found that the…

Materials Science · Physics 2014-11-11 Vyacheslav Gorshkov , Vasily Kuzmenko , Vladimir Privman

The thermal and phase properties of a multifragmentation model which uses clusters as degrees of freedom, are explored as a function of isospin. A good qualitative agreement is found with the phase diagram of asymmetric nuclear matter as…

Nuclear Theory · Physics 2008-11-26 Ad. R. Raduta , F. Gulminelli

We propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, microtorques, and mass. We focus on materials where second…

Mathematical Physics · Physics 2020-02-12 Luis Espath , Victor Calo

A dynamical model is proposed to describe the coupled decomposition and profile evolution of a free surface film of a binary mixture. An example is a thin film of a polymer blend on a solid substrate undergoing simultaneous phase separation…

Fluid Dynamics · Physics 2013-03-25 Uwe Thiele , Santiago Madruga , Lubor Frastia

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

Fluid Dynamics · Physics 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi

We present a hydro-geomechanical model for subsurface methane hydrate systems. Our model considers kinetic hydrate phase change and non-isothermal, multi-phase, multi-component flow in elastically deforming soils. The model accounts for the…

Numerical Analysis · Mathematics 2015-08-07 Shubhangi Gupta , Rainer Helmig , Barbara Wohlmuth

We investigate dendritic sidebranching during crystal growth in an undercooled melt by simulation of a phase-field model which incorporates thermal noise of microscopic origin. As a non-trivial quantitative test of this model, we first show…

Materials Science · Physics 2009-10-31 Alain Karma , Wouter-Jan Rappel

In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a…

Computational Engineering, Finance, and Science · Computer Science 2023-12-21 Felix Schmidt , Stefan Schuß , Christian Hesch

The motion of microstructural interfaces is important in modeling materials that undergo twinning and structural phase transformations. Continuum models fall into two classes: sharp-interface models, where interfaces are singular surfaces;…

Materials Science · Physics 2014-12-31 Vaibhav Agrawal , Kaushik Dayal

We present here the non-equilibrium dynamics of the recently studied quasiperiodic Ising model. The zero temperature phase diagram of this model mainly consists of three phases, where each of these three phases can have extended, localized…

Statistical Mechanics · Physics 2018-09-12 Uma Divakaran

We time-evolve a translationally invariant quantum state on the Quantinuum H1-1 trapped-ion quantum processor, studying the dynamical quantum phase transition of the transverse field Ising model. This physics requires a delicate…

The traditional concept of phase transitions has, in recent years, been widened in a number of interesting ways. The concept of a topological phase transition separating phases with a different ground state topology, rather than phases of…

Mesoscale and Nanoscale Physics · Physics 2019-10-24 N. Sedlmayr

We study the critical properties of a two--dimensional Ising model with competing ferromagnetic exchange and dipolar interactions, which models an ultra-thin magnetic film with high out--of--plane anisotropy in the monolayer limit. In this…

Statistical Mechanics · Physics 2009-07-09 S. A. Pighin , S. A. Cannas

We suggest certain effects, caused by interaction between rotation and gravitation with turbulence structure, for the cooling/heating of dispersed phase of non-isothermal particles in rotating turbulent fluid flows. These effects are…

Fluid Dynamics · Physics 2015-04-07 R. V. R. Pandya , P. Stansell

As phase-field modeling (PFM) is booming across various disciplines and has been proven fitted for numerically modeling interfacial problems, we aim at taking a step back to revisit its fundamental validity, in the light of non-equilibrium…

Statistical Mechanics · Physics 2019-07-09 Alexandre Guevel , Hadrien Rattez , Sotiris Alevizos , Manolis Veveakis

In this work, we investigate many-body phase transitions in a one-dimensional anisotropic XY model subject to a complex-valued transverse field. Within the biorthogonal framework, we calculate the ground-state correlation functions and…

Quantum Physics · Physics 2026-04-29 Fei Wang , Guoying Liang , Zecheng Zhao , Lin-Yue Luo , Da-Jian Zhang , Bao-Ming Xu

We develop an elasto-plastic description for the transient dynamics prior to steady flow of athermally yielding materials. Our mean-field model not only reproduces the experimentally observed non-linear time dependence of the shear-rate…

Soft Condensed Matter · Physics 2018-02-06 Chen Liu , Kirsten Martens , Jean-Louis Barrat