CRITICAL-DYNAMICS OF A DILUTE CENTRAL FORCE NETWORK WITH PARTIAL BOND BENDING FORCES

被引:4
作者
HUGHES, GD [1 ]
LAMBERT, CJ [1 ]
BURTON, D [1 ]
机构
[1] MARCONI MARITIME APPL RES LAB,CAMBRIDGE CB4 4FX,ENGLAND
关键词
D O I
10.1088/0953-8984/2/14/024
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Numerical results are presented for the dynamical properties of a dilute, central force, triangular network with 60 degrees bond bending forces. The rigidity percolation threshold PR for such a network lies between the connectivity percolation threshold and the central force rigidity percolation threshold. A LU factorisation technique is used to determine the eigenvalues of the dynamical matrix and the results combined with finite size scaling to yield values for PR and the fracton dimensionality d of 0.40<or=P R<or=0.405 and 1.25<or=d<or=1.3.
引用
收藏
页码:3399 / 3403
页数:5
相关论文
共 11 条
[1]  
ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
[2]   RIGID BACKBONE - A NEW GEOMETRY FOR PERCOLATION [J].
DAY, AR ;
TREMBLAY, RR ;
TREMBLAY, AMS .
PHYSICAL REVIEW LETTERS, 1986, 56 (23) :2501-2504
[3]  
DEGENNES PG, 1976, J PHYS LETT-PARIS, V37, pL1, DOI 10.1051/jphyslet:019760037010100
[4]   PERCOLATION IN ISOTROPIC ELASTIC MEDIA [J].
GARCIAMOLINA, R ;
GUINEA, F ;
LOUIS, E .
PHYSICAL REVIEW LETTERS, 1988, 60 (02) :124-127
[5]  
LEMIEUX MA, 1985, J PHYS LETT-PARIS, V46, pL1, DOI 10.1051/jphyslet:019850046010100
[6]   CONTRA-UNIVERSALITY IN PERCOLATION WITH VARIABLE STRENGTH OF CONNECTION [J].
ODAGAKI, T .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (05) :1013-1016
[7]  
ROUX S, 1988, EUROPHYS LETT, V6, P4
[8]   RELATION BETWEEN THE CRITICAL EXPONENT OF ELASTIC PERCOLATION NETWORKS AND THE CONDUCTIVITY AND GEOMETRICAL EXPONENTS [J].
SAHIMI, M .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (04) :L79-L83
[9]   NONUNIVERSAL CRITICAL EXPONENTS FOR TRANSPORT IN PERCOLATING SYSTEMS WITH A DISTRIBUTION OF BOND STRENGTHS [J].
SEN, PN ;
ROBERTS, JN ;
HALPERIN, BI .
PHYSICAL REVIEW B, 1985, 32 (05) :3306-3308
[10]  
STINCHCOMBE RB, 1985, SCALING PHENOMENA DI