GRAIN-GROWTH IN 3 DIMENSIONS DEPENDS ON GRAIN TOPOLOGY

被引:117
作者
GLAZIER, JA [1 ]
机构
[1] UNIV NOTRE DAME,DEPT PHYS,NOTRE DAME,IN 46556
关键词
D O I
10.1103/PhysRevLett.70.2170
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
While the growth rate of the average volume in a three-dimensional polycrystal is well understood, the growth rates of individual grains (which determine material properties through the topological and volume distributions) are not known. Using a three-dimensional Q-state Potts model simulation, I find that the average canonical growth rate of a grain depends linearly on its number of faces and is independent of its volume, a surprisingly simple and unexplained result.
引用
收藏
页码:2170 / 2173
页数:4
相关论文
共 35 条
[1]   COMPUTER-SIMULATION OF NORMAL GRAIN-GROWTH IN 3 DIMENSIONS [J].
ANDERSON, MP ;
GREST, GS ;
SROLOVITZ, DJ .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1989, 59 (03) :293-329
[2]   GRAIN-GROWTH IN 3 DIMENSIONS - A LATTICE MODEL [J].
ANDERSON, MP ;
GREST, GS ;
SROLOVITZ, DJ .
SCRIPTA METALLURGICA, 1985, 19 (02) :225-230
[3]   THEORIES OF NORMAL GRAIN-GROWTH IN PURE SINGLE-PHASE SYSTEMS [J].
ATKINSON, HV .
ACTA METALLURGICA, 1988, 36 (03) :469-491
[4]   GEOMETRY AND FOAMS - 2D DYNAMICS AND 3D STATICS [J].
AVRON, JE ;
LEVINE, D .
PHYSICAL REVIEW LETTERS, 1992, 69 (01) :208-211
[5]   THE EFFECTS OF PLATEAU BORDERS IN THE 2-DIMENSIONAL SOAP FROTH .2. GENERAL SIMULATION AND ANALYSIS OF RIGIDITY LOSS TRANSITION [J].
BOLTON, F ;
WEAIRE, D .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1992, 65 (03) :473-487
[6]   RIGIDITY LOSS TRANSITION IN A DISORDERED 2D-FROTH [J].
BOLTON, F ;
WEAIRE, D .
PHYSICAL REVIEW LETTERS, 1990, 65 (27) :3449-3451
[7]   THE EFFECTS OF PLATEAU BORDERS IN THE 2-DIMENSIONAL SOAP FROTH .1. DECORATION LEMMA AND DIFFUSION THEOREM [J].
BOLTON, F ;
WEAIRE, D .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1991, 63 (04) :795-809
[8]   MULTIPLE LIGHT-SCATTERING PROBES OF FOAM STRUCTURE AND DYNAMICS [J].
DURIAN, DJ ;
WEITZ, DA ;
PINE, DJ .
SCIENCE, 1991, 252 (5006) :686-688
[9]   SCALING BEHAVIOR IN SHAVING CREAM [J].
DURIAN, DJ ;
WEITZ, DA ;
PINE, DJ .
PHYSICAL REVIEW A, 1991, 44 (12) :R7902-R7905
[10]  
DURIAN DJ, 1990, JU PHYS CONDENS MATT, V2, pSA443