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相关论文: Phase Separation Kinetics in a Model with Order-Pa…

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We perform computer simulations of a Cahn-Hilliard model of phase separation which has dynamical asymmetry between the two coexisting phases. The dynamical asymmetry is incorporated by considering a mobility function which is order…

软凝聚态物质 · 物理学 2009-10-31 Rajeev Ahluwalia

Behavior of two-time autocorrelation during the phase separation in solid binary mixtures are studied via numerical solutions of the Cahn-Hilliard equation as well as Monte Carlo simulations of the Ising model. Results are analyzed via…

统计力学 · 物理学 2015-09-02 Jiarul Midya , Suman Majumder , Subir K. Das

The dynamics of phase separation for a binary fluid subjected to a uniform shear are solved exactly for a model in which the order parameter is generalized to an n-component vector and the large-n limit taken. Characteristic length scales…

统计力学 · 物理学 2009-10-31 N. P. Rapapa , A. J. Bray

The effect of an order-parameter dependent mobility (or kinetic coefficient), on the phase-ordering dynamics of a system described by an n-component vector order parameter is addressed at zero temperature in the large-n limit. We consider…

统计力学 · 物理学 2009-10-31 C. L. Emmott , A. J. Bray

The phase-separation kinetics of binary fluids in shear flow is studied numerically in the framework of the continuum convection-diffusion equation based on a Ginzburg-Landau free energy. Simulations are carried out for different…

凝聚态物理 · 物理学 2009-10-31 F. Corberi , G. Gonnella , A. Lamura

Using a modified Cahn-Hilliard-Cook theory for spinodal decomposition in a binary mixture that exhibits both diffusion and interconversion dynamics, we derive the time-dependent structure factor for concentration fluctuations. We compare…

In this paper we present a mathematical model to describe the phenomenon of phase separation, which is modelled as space regions where an order parameter changes smoothly. The model proposed, including thermal and mixing effects, is deduced…

数学物理 · 物理学 2011-02-08 Alessia Berti , Ivana Bochicchio

The paper presents a model of lateral phase separation in a two component material surface. The resulting fourth order nonlinear PDE can be seen as a Cahn-Hilliard equation posed on a time-dependent surface. Only elementary tangential…

数值分析 · 数学 2020-03-18 Vladimir Yushutin , Annalisa Quaini , Maxim Olshanskii

The dependence of the scaling properties of the structure factor on space dimensionality, range of interaction, initial and final conditions, presence or absence of a conservation law is analysed in the framework of the large-N model for…

凝聚态物理 · 物理学 2009-10-22 Antonio Coniglio , Patrizia Ruggiero , Marco Zannetti

To study the kinetics of phase separation in active matter systems, we consider models that impose a Vicsek-type self-propulsion rule on otherwise passive particles interacting via the Lennard-Jones potential. Two types of kinetics are of…

统计力学 · 物理学 2023-10-31 Tanay Paul , Nalina Vadakkayil , Subir K. Das

A coarse-grained model of dense hard sphere colloids building on simple notions of particle mobility and spatial coherence is presented and shown to reproduce results of experiments and simulations for key quantities such as the…

软凝聚态物质 · 物理学 2018-07-06 Nikolaj Becker , Paolo Sibani , Stefan Boettcher , Skanda Vivek

We investigate numerically the influence of an homogeneous shear flow on the spinodal decomposition of a binary mixture by solving the Cahn-Hilliard equation in a two-dimensional geometry. Several aspects of this much studied problem are…

统计力学 · 物理学 2009-10-31 Ludovic Berthier

The effect of shear flow on the phase-ordering dynamics of a binary mixture with field-dependent mobility is investigated. The problem is addressed in the context of the time-dependent Ginzburg-Landau equation with an external velocity…

凝聚态物理 · 物理学 2015-06-25 G. Gonnella , A. Lamura , D. Suppa

The dynamics of phase-separation in conserved systems with an O(N) continuous symmetry is investigated in the presence of an order parameter dependent mobility M(\phi)=1-a \phi^2. The model is studied analytically in the framework of the…

统计力学 · 物理学 2009-10-31 Federico Corberi , Claudio Castellano

Quenched or frozen-in structural disorder is ubiquitous in real experimental systems. Much of the progress is achieved in understanding the phase separation of such systems using the diffusion-driven coarsening in Ising model with quenched…

软凝聚态物质 · 物理学 2023-08-15 Rounak Bhattacharyya , Bhaskar Sen Gupta

Phase field models frequently provide insight to phase transitions, and are robust numerical tools to solve free boundary problems corresponding to the motion of interfaces. A body of prior literature suggests that interface motion via…

软凝聚态物质 · 物理学 2015-09-30 Alpha A Lee , Andreas Münch , Endre Süli

We focus on the derivation and analysis of a model for multi-component phase separation occurring on biological membranes, inspired by observations of lipid raft formation. The model integrates local membrane composition with local membrane…

偏微分方程分析 · 数学 2025-07-08 Diogo Caetano , Charles M. Elliott , Maurizio Grasselli , Andrea Poiatti

Results are presented for the phase separation process of a binary mixture subject to an uniform shear flow quenched from a disordered to a homogeneous ordered phase. The kinetics of the process is described in the context of the…

凝聚态物理 · 物理学 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

The effect of shear on the ordering-kinetics of a conserved order-parameter system with O(n) symmetry and order-parameter-dependent mobility \Gamma({\vec\phi}) \propto (1- {\vec\phi} ^2/n)^\alpha is studied analytically within the large-n…

统计力学 · 物理学 2009-10-31 N. P. Rapapa

Phase ordering dynamics of the (2+1)- and (3+1)-dimensional $\phi^4$ theory with Hamiltonian equations of motion is investigated numerically. Dynamic scaling is confirmed. The dynamic exponent $z$ is different from that of the Ising model…

统计力学 · 物理学 2009-11-07 B. Zheng , V. Linke , S. Trimper
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