Coarse graining for the phase-field model of fast phase transitions

被引：24

作者：

Jou, D. ^{[1
]}

Galenko, P. K. ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Fis, Bellaterra 08193, Catalonia, Spain

[2] Univ Jena, Fak Phys Astron, D-07743 Jena, Germany

来源：

PHYSICAL REVIEW E | 2013年 / 88卷 / 04期

关键词：

CAHN-HILLIARD EQUATION; SPINODAL DECOMPOSITION; HYPERBOLIC MODEL; INERTIAL TERM; TIME; SOLIDIFICATION; RELAXATION; FLUCTUATIONS; EVOLUTION; DIFFUSION;

D O I：

10.1103/PhysRevE.88.042151

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Fast phase transitions under lack of local thermalization between successive elementary steps of the physical process are treated analytically. Non-Markovian master equations are derived for fast processes, which do not have enough time to reach energy or momentum thermalization during rapid phase change or freezing of a highly nonequilibrium system. These master equations provide a further physical basis for evolution and transport equations of the phase-field model used previously in the analyses of fast phase transitions.

引用

页数：8

共 50 条

[1] Coarse-graining for fast dynamics of order parameters in the phase-field model
Jou, D.
Galenko, P. K.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 376 (2113):
[2] Simulations for a New Phase-Field Model for Phase Transitions Driven by Configurational Forces
Chen, Mei
6TH ANNUAL INTERNATIONAL WORKSHOP ON MATERIALS SCIENCE AND ENGINEERING, 2020, 1622
[3] Phase-Field Model for Microstructure Evolution at the Mesoscopic Scale
Steinbach, Ingo
ANNUAL REVIEW OF MATERIALS RESEARCH, VOL 43, 2013, 43 : 89 - 107
[4] Multigrain phase-field simulation in ferroelectrics with phase coexistences: An improved phase-field model
Fan, Ling
Werner, Walter
Subotic, Swen
Schneider, Daniel
Hinterstein, Manuel
Nestler, Britta
COMPUTATIONAL MATERIALS SCIENCE, 2022, 203
[5] Phase-field crystal model with a vapor phase
Schwalbach, Edwin J.
Warren, James A.
Wu, Kuo-An
Voorhees, Peter W.
PHYSICAL REVIEW E, 2013, 88 (02):
[6] Viscosity solutions to a Cauchy problem of a phase-field model for solid-solid phase transitions
Zheng, Junzhi
STUDIES IN APPLIED MATHEMATICS, 2020, 145 (03) : 483 - 499
[7] A numerical algorithm for the solution of a phase-field model of polycrystalline materials
Dorr, M. R.
Fattebert, J. -L.
Wickett, M. E.
Belak, J. F.
Turchi, P. E. A.
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (03) : 626 - 641
[8] A Temperature-Dependent Phase-Field Model for Phase Separation and Damage
Heinemann, Christian
Kraus, Christiane
Rocca, Elisabetta
Rossi, Riccarda
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 225 (01) : 177 - 247
[9] Parallelization of phase-field model for phase transformation problem
Xu, Y
Yang, TL
McDonough, JM
Tagavi, KA
PARALLEL COMPUTATIONAL FLUID DYNAMICS: ADVANCED NUMERICAL METHODS SOFTWARE AND APPLICATIONS, 2004, : 213 - 218
[10] A phase-field model for quasi-incompressible solid-liquid transitions
Berti, Alessia
Giorgi, Claudio
MECCANICA, 2014, 49 (09) : 2087 - 2097

← 1 2 3 4 5 →