MONTE-CARLO ANALYSIS OF PERCOLATION OF LINE SEGMENTS ON A SQUARE LATTICE

被引:50
作者
LEROYER, Y
POMMIERS, E
机构
[1] Laboratoire de Physique Théorique, Université de Bordeaux I, 33175 Gradignan Cedex
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 05期
关键词
D O I
10.1103/PhysRevB.50.2795
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the percolative properties of bidimensional systems generated by a random sequential adsorption of line segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum, and then increases slowly for large segments. We explain this nonmonotonic behavior by a structural change of the percolation clusters. However, an accurate measurement of the exponent nu and of the fractal dimension D of the incipient infinite percolating cluster for several segment lengths shows that these systems belong to the universality class of random site percolation.
引用
收藏
页码:2795 / 2799
页数:5
相关论文
共 17 条
[1]  
ADLER J, 1983, PERCOLATION STRUCTUR, V5
[2]  
AIME JP, COMMUNICATION
[3]  
[Anonymous], 2017, INTRO PERCOLATION TH, DOI DOI 10.1201/9781315274386
[4]   COMPUTER STUDY OF THE PERCOLATION-THRESHOLD IN A TWO-DIMENSIONAL ANISOTROPIC SYSTEM OF CONDUCTING STICKS [J].
BALBERG, I ;
BINENBAUM, N .
PHYSICAL REVIEW B, 1983, 28 (07) :3799-3812
[5]   NUCLEATION AND GROWTH OF SQUARE ISLANDS DURING DEPOSITION - SIZES, COALESCENCE, SEPARATIONS AND CORRELATIONS [J].
BARTELT, MC ;
EVANS, JW .
SURFACE SCIENCE, 1993, 298 (2-3) :421-431
[6]   THE PERCOLATION OF FIBERS WITH RANDOM ORIENTATIONS - A MONTE-CARLO STUDY [J].
BOISSONADE, J ;
BARREAU, F ;
CARMONA, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2777-2787
[7]   ADSORPTION OF LINE SEGMENTS ON A SQUARE LATTICE [J].
BONNIER, B ;
HONTEBEYRIE, M ;
LEROYER, Y ;
MEYERS, C ;
POMMIERS, E .
PHYSICAL REVIEW E, 1994, 49 (01) :305-312
[8]  
CARMONA F, 1980, J PHYS LETT, V41, pL534
[9]  
DEUTSHER G, 1983, PERCOLATION STRUCTUR, V5
[10]   FROM LATTICE TO CONTINUUM PERCOLATION VIA CLUSTERING [J].
EVANS, JW .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (05) :L197-L201