TOPOLOGICAL CHARACTERISTICS OF 2D CELLULAR STRUCTURES GENERATED BY FRAGMENTATION

被引:41
作者
DELANNAY, R [1 ]
LECAER, G [1 ]
机构
[1] ECOLE MINES,SCI & GENIE MAT MET LAB,CNRS,UA 159,F-54042 NANCY,FRANCE
关键词
D O I
10.1103/PhysRevLett.73.1553
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Stationary topological properties of 2D cellular structures generated by random fragmentation have been calculated by computer simulations. The probability distributions of the number n of cell sides agree with a recent mean-field model. Two-cell correlations are almost linear in n. The most disordered structure approaches a ''topological gas'' with weak correlations in the arrangement of cells. Variation with disorder of the Aboav-Weaire parameter is discussed for 2D cellular structures.
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页码:1553 / 1556
页数:4
相关论文
共 23 条
[11]   The correlation between cell division and the shapes and sizes of prismatic cells in the epidermis of Cucumis [J].
Lewis, FT .
ANATOMICAL RECORD, 1928, 38 (03) :341-376
[12]   A comparison between the mosaic of polygons in a film of artificial emulsion and the pattern of simple epithelium in surface view (cucumber epidermis and human amnion) [J].
Lewis, FT .
ANATOMICAL RECORD, 1931, 50 (03) :235-265
[13]   2-DIMENSIONAL BUBBLE RAFTS [J].
MAGNASCO, MO .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1992, 65 (05) :895-920
[14]   MITOSIS AND GROWTH IN BIOLOGICAL TISSUES [J].
MOMBACH, JCM ;
DEALMEIDA, RMC ;
IGLESIAS, JR .
PHYSICAL REVIEW E, 1993, 48 (01) :598-602
[15]   2-CELL CORRELATIONS IN BIOLOGICAL TISSUES [J].
MOMBACH, JCM ;
DEALMEIDA, RMC ;
IGLESIAS, JR .
PHYSICAL REVIEW E, 1993, 47 (05) :3712-3716
[16]   ENTROPIC PREDICTIONS FOR CELLULAR NETWORKS [J].
PESHKIN, MA ;
STRANDBURG, KJ ;
RIVIER, N .
PHYSICAL REVIEW LETTERS, 1991, 67 (13) :1803-1806
[17]  
PIGNOL V, 1993, ACTA STEREOL, V12, P149
[18]  
RIVIER N, IN PRESS STATISTICAL
[19]  
RIVIER N, IN PRESS FRAGMENTATI
[20]  
RIVIER N, 1993, DISORDER GRANULAR ME, P55