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We discuss a free boundary problem for two moving solid-liquid interfaces that strongly interact via the diffusion field in the liquid layer between them. This problem arises in the context of liquid film migration (LFM) during the partial…

Materials Science · Physics 2009-11-11 Efim A. Brener , D. E. Temkin

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

We study the nonequilibrium phase transition in a model of aggregation of masses allowing for diffusion, aggregation on contact and fragmentation. The model undergoes a dynamical phase transition in all dimensions. The steady state mass…

Statistical Mechanics · Physics 2015-06-25 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

Using molecular dynamics simulations and integral equations (Rogers-Young, Percus-Yevick and hypernetted chain closures) we investigate the thermodynamic of particles interacting with continuous core-softened intermolecular potential.…

Soft Condensed Matter · Physics 2007-05-23 Alan B. de Oliveira , Paulo A. Netz , Thiago Colla , Marcia C. Barbosa

We present a model treating the kinetics of adsorption of soluble surface-active molecules at the interface between an aqueous solution and another fluid phase. The model accounts for both the diffusive transport inside the solution and the…

Soft Condensed Matter · Physics 2007-05-23 H. Diamant , D. Andelman

Nonequilibrium thermodynamics has shown its applicability in a wide variety of different situations pertaining to fields such as physics, chemistry, biology, and engineering. As successful as it is, however, its current formulation…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

Nonequilibrium behavior and dynamic phase transition properties of a kinetic Ising model under the influence of periodically oscillating random-fields have been analyzed within the framework of effective field theory (EFT) based on a…

Statistical Mechanics · Physics 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

We discuss the growth process of a crystalline phase out of a metastable over-compressed liquid that is brought into contact with a crystalline substrate. The process is modeled by means of molecular dynamics. The particles interact via the…

Soft Condensed Matter · Physics 2014-08-07 Francesco Turci , Tanja Schilling

We propose a stochastic order parameter equation for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a non-equilibrium adiabatic boundary condition, where total energy is…

Statistical Mechanics · Physics 2021-06-23 Shin-ichi Sasa , Naoko Nakagawa , Masato Itami , Yohei Nakayama

Based directly on the microscopic lattice dynamics, a simple high temperature expansion can be devised for non-equilibrium steady states. We apply this technique to investigate the disordered phase and the phase diagram for a driven bilayer…

Statistical Mechanics · Physics 2007-05-23 I. Mazilu , B. Schmittmann

We consider a system of reaction-diffusion equations in a bounded interval of the real line, with emphasis on the metastable dynamics, whereby the time-dependent solution approaches the steady state in an asymptotically exponentially long…

Analysis of PDEs · Mathematics 2016-06-27 Marta Strani

Phase separation of binary fluids quenched by contact with cold external walls is considered. Navier-Stokes, convection-diffusion, and energy equations are solved by lattice Boltzmann method coupled with finite-difference schemes. At high…

Soft Condensed Matter · Physics 2015-05-20 G. Gonnella , A. Lamura , A. Piscitelli , A. Tiribocchi

The nonequilibrium process in dislocation dynamics and its relaxation to the metastable transition profile is crucial for understanding the plastic deformation caused by line defects in materials. In this paper, we consider the full…

Analysis of PDEs · Mathematics 2022-01-07 Yuan Gao , Jean-Michel Roquejoffre

Numerical experiments of the statistical evolution of an ensemble of non-interacting particles in a time-dependent billiard with inelastic collisions, reveals the existence of three statistical regimes for the evolution of the speeds…

Chaotic Dynamics · Physics 2020-01-08 M. Hansen , D. Ciro , I. L. Caldas , E. D. Leonel

A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermodynamically consistent diffuse interface model is presented. The scheme is consistent in the sense that it allows for a discrete in time…

Analysis of PDEs · Mathematics 2014-02-27 Harald Garcke , Michael Hinze , Christian Kahle

We investigate dynamics of large scale and slow deformations of layered structures. Starting from the respective model equations for a non-conserved system, a conserved system and a binary fluid, we derive the interface equations which are…

Soft Condensed Matter · Physics 2009-10-30 Takao Ohta , David Jasnow

Bimorph films curl in response to temperature. The degree of curvature typically varies linearly with temperature and in proportion to the difference in thermal expansion of the individual layers. In many applications, such as controlling a…

Mesoscale and Nanoscale Physics · Physics 2017-02-13 Greg E. Blonder

We consider a binary fluid mixture, which lies in the one-phase region near the demixing critical point, and study its transport through a capillary tube linking two large reservoirs. We assume that short-range interactions cause…

Soft Condensed Matter · Physics 2023-09-21 Youhei Fujitani , Shunsuke Yabunaka

A discrete model and the regular solution approximation are applied to describe the effect of grain boundary motion on grain boundary phase transformations in a binary alloy. The model predicts all thermodynamic properties of the grain…

Materials Science · Physics 2019-05-13 Y. Mishin

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov