Why phantom nuclei must be considered in the Johnson-Mehl-Avrami-Kolmogoroff kinetics

被引：54

作者：

Tomellini, M

Fanfoni, M

机构：

[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO FIS,I-00133 ROME,ITALY

[2] INFM,I-00133 ROME,ITALY

来源：

PHYSICAL REVIEW B | 1997年 / 55卷 / 21期

关键词：

D O I：

10.1103/PhysRevB.55.14071

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the Johnson-Mehl-Avrami-Kolmogoroff theory, the concepts of phantom nuclei and extended space, which caused not a little confusion among investigators, is an unavoidable accident of the theory. A straight-forward mathematical derivation of that is presented. Besides, some interesting and important physical consequences related to phantom nuclei have been investigated.

引用

收藏

页码：14071 / 14073

页数：3

相关论文

共 13 条

[1] Kinetics of phase change I - General theory [J].

Avrami, M .

JOURNAL OF CHEMICAL PHYSICS, 1939, 7 (12) :1103-1112

[2]

Avrami M., 1940, J CHEM PHYS, V8, P212, DOI [10.1063/1.1750631, DOI 10.1063/1.1750631]

[3] Evaluation of time-dependent grain-size populations for nucleation and growth kinetics [J].

Crespo, D ;

Pradell, T .

PHYSICAL REVIEW B, 1996, 54 (05) :3101-3109

[4] CRYSTALLIZATION KINETICS [J].

ERUKHIMOVITCH, V ;

BARAM, J .

PHYSICAL REVIEW B, 1994, 50 (09) :5854-5856

[5] NUCLEATION AND GROWTH TRANSFORMATION KINETICS [J].

ERUKHIMOVITCH, V ;

BARAM, J .

PHYSICAL REVIEW B, 1995, 51 (10) :6221-6230

[6] Demonstration of Avrami's kinetics: Connection with rate equations for clustering on surfaces [J].

Fanfoni, M ;

Tomellini, M .

PHYSICAL REVIEW B, 1996, 54 (14) :9828-9833

[7]

Johnson WA, 1939, T AM I MIN MET ENG, V135, P416

[8]

KOLMOGOROFF AN, 1937, B ACAD SCI URSS SCI, V3, P355

[9] Validity of Avrami's kinetics for random and nonrandom distributions of germs [J].

Sessa, V ;

Fanfoni, M ;

Tomellini, M .

PHYSICAL REVIEW B, 1996, 54 (02) :836-841

[10] Computer simulation of crystallization kinetics with non-Poisson distributed nuclei [J].

Uebele, P ;

Hermann, H .

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 1996, 4 (02) :203-214