MODULATION MECHANISM FOR 1ST-ORDER TRANSFORMATIONS WITH NONCONSERVED ORDER PARAMETERS

被引:11
作者
UMANTSEV, A
OLSON, GB
机构
[1] Department of Materials Science and Engineering, Northwestern University, Evanston
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 10期
关键词
D O I
10.1103/PhysRevA.46.R6132
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The effect of energy conservation on the decomposition dynamics of unstable states is considered for systems with nonconserved order parameters. We demonstrate that close to the critical point of instability the dynamics of the order-parameter field is described by the nonlinear Cahn-Hilliard equation, leading to microstructure evolution by heat-transfer-controlled modulation. The results are applied to first-order displacive transitions, predicting an alternative transformation mechanism that follows a path of continuous strain modulation with finite wavelength.
引用
收藏
页码:R6132 / R6135
页数:4
相关论文
共 19 条
[1]   MULTIDIMENSIONAL NON-LINEAR DIFFUSION ARISING IN POPULATION-GENETICS [J].
ARONSON, DG ;
WEINBERGER, HF .
ADVANCES IN MATHEMATICS, 1978, 30 (01) :33-76
[2]   PATTERN PROPAGATION IN NONLINEAR DISSIPATIVE SYSTEMS [J].
BENJACOB, E ;
BRAND, H ;
DEE, G ;
KRAMER, L ;
LANGER, JS .
PHYSICA D-NONLINEAR PHENOMENA, 1985, 14 (03) :348-364
[3]  
CAGINALP G, 1986, ARCH RATION MECH AN, V92, P205
[4]   ON SPINODAL DECOMPOSITION [J].
CAHN, JW .
ACTA METALLURGICA, 1961, 9 (09) :795-801
[5]   SPINODAL DECOMPOSITION - REPRISE [J].
CAHN, JW ;
HILLIARD, JE .
ACTA METALLURGICA, 1971, 19 (02) :151-+
[6]  
Cohen M., 1979, P INT C MARTENSITIC, P1
[7]   DIFFUSE INTERFACE MODEL OF DIFFUSION-LIMITED CRYSTAL-GROWTH [J].
COLLINS, JB ;
LEVINE, H .
PHYSICAL REVIEW B, 1985, 31 (09) :6119-6122
[8]   EARLY TIME SPINODAL DECOMPOSITION IN A RELAXATIONAL TRICRITICAL MODEL [J].
DEE, G .
PROGRESS OF THEORETICAL PHYSICS, 1981, 65 (01) :365-368
[9]   LATE-TIME THEORY FOR THE EFFECTS OF A CONSERVED FIELD ON THE KINETICS OF AN ORDER-DISORDER TRANSITION [J].
ELDER, KR ;
MORIN, B ;
GRANT, M ;
DESAI, RC .
PHYSICAL REVIEW B, 1991, 44 (13) :6673-6688
[10]   THE PHASE-FIELD DESCRIPTION OF MUSHY ZONES [J].
FIFE, PC ;
GILL, GS .
PHYSICA D-NONLINEAR PHENOMENA, 1989, 35 (1-2) :267-275