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

[21] PHASE TRANSITIONS OF A PHASE FIELD MODEL
Liu, Honghu
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (03): : 883 - 894
[22] Displacive Phase Transitions at Large Strains: Phase-Field Theory and Simulations
Levitas, Valery I.
Levin, Vladimir A.
Zingerman, Konstantin M.
Freiman, Eugene I.
PHYSICAL REVIEW LETTERS, 2009, 103 (02)
[23] COARSE-GRAINING APPROACH TO 1ST-ORDER PHASE-TRANSITIONS
GAWEDZKI, K
KOTECKY, R
KUPIAINEN, A
JOURNAL OF STATISTICAL PHYSICS, 1987, 47 (5-6) : 701 - 724
[24] Coarse graining the phase space of N qubits
Di Matteo, Olivia
Sanchez-Soto, Luis L.
Leuchs, Gerd
Grassl, Markus
PHYSICAL REVIEW A, 2017, 95 (02)
[25] 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
[26] Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions
Sprekels, J
Zheng, SM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (01) : 97 - 110
[27] Nonlinear response and dynamical transitions in a phase-field crystal model for adsorbed overlayers
Ramos, J. A. P.
Granato, E.
Ying, S. C.
Achim, C. V.
Elder, K. R.
Ala-Nissila, T.
XI LATIN AMERICAN WORKSHOP ON NONLINEAR PHENOMENA, 2010, 246
[28] A phase-field model for quasi-incompressible solid-liquid transitions
Berti, Alessia
Giorgi, Claudio
MECCANICA, 2014, 49 (09) : 2087 - 2097
[29] Phase-field model of strain effect on superconducting transitions and mesoscale pattern formation
Fortino, Daniel
Hong, Qingguo
Ma, Limin
Xu, Jinchao
Chen, Long-Qing
COMPUTATIONAL MATERIALS SCIENCE, 2024, 236
[30] ON A DOUBLY NONLINEAR PHASE-FIELD MODEL FOR FIRST-ORDER TRANSITIONS WITH MEMORY
Berti, V.
Fabrizio, M.
Giorgi, C.
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2008, 21 (3-4) : 325 - 350

← 1 2 3 4 5 →