Flocculation and percolation in reversible cluster-cluster aggregation

被引:21
作者
Babu, S [1 ]
Rottereau, M [1 ]
Nicolai, T [1 ]
Gimel, JC [1 ]
Durand, D [1 ]
机构
[1] Univ Maine, UMR 6120, CNRS, F-72085 Le Mans 9, France
关键词
D O I
10.1140/epje/e2006-00022-7
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Off-lattice dynamic Monte-Carlo simulations were done of reversible cluster-cluster aggregation for spheres that form rigid bonds at contact. The equilibrium properties were found to be determined by the life time of encounters between two particles (t(e)). t(e) is a function not only of the probability to form or break a bond, but also of the elementary step size of the Brownian motion of the particles. In the flocculation regime the fractal dimension of the clusters is d(f)=2.0 and the size distribution has a power law decay with exponent tau=1.5. At larger values of t(e) transient gels are formed. Close to the percolation threshold the clusters have a fractal dimension d(f)=2.7 and the power law exponent of the size distribution is tau=2.1. The transition between flocculation and percolation occurs at a characteristic weight average aggregation number that decreases with increasing volume fraction.
引用
收藏
页码:203 / 211
页数:9
相关论文
共 40 条
[11]  
Gimel JC, 2002, PHYS REV E, V66, DOI 10.1103/PhysRevE.66.061405
[12]   TRANSITION BETWEEN FLOCCULATION AND PERCOLATION OF A DIFFUSION-LIMITED CLUSTER-CLUSTER AGGREGATION PROCESS USING 3-DIMENSIONAL MONTE-CARLO SIMULATION [J].
GIMEL, JC ;
DURAND, D ;
NICOLAI, T .
PHYSICAL REVIEW B, 1995, 51 (17) :11348-11357
[13]   Monte-Carlo simulation of transient gel formation and break-up during reversible aggregation [J].
Gimel, JC ;
Nicolai, T ;
Durand, D .
EUROPEAN PHYSICAL JOURNAL E, 2001, 5 (04) :415-422
[14]   3D Monte Carlo simulations of diffusion limited cluster aggregation up to the sol-gel transition: Structure and kinetics [J].
Gimel, JC ;
Nicolai, T ;
Durand, D .
JOURNAL OF SOL-GEL SCIENCE AND TECHNOLOGY, 1999, 15 (02) :129-136
[15]   SOL-GEL PROCESS SIMULATION BY CLUSTER-CLUSTER AGGREGATION [J].
HASMY, A ;
JULLIEN, R .
JOURNAL OF NON-CRYSTALLINE SOLIDS, 1995, 186 :342-348
[16]   SMALL-ANGLE NEUTRON-SCATTERING INVESTIGATION OF SHORT-RANGE CORRELATIONS IN FRACTAL AEROGELS - SIMULATIONS AND EXPERIMENTS [J].
HASMY, A ;
FORET, M ;
PELOUS, J ;
JULLIEN, R .
PHYSICAL REVIEW B, 1993, 48 (13) :9345-9353
[17]   CLUSTER-CLUSTER GELATION WITH FINITE BOND-ENERGY [J].
HAW, MD ;
SIEVWRIGHT, M ;
POON, WCK ;
PUSEY, PN .
ADVANCES IN COLLOID AND INTERFACE SCIENCE, 1995, 62 (01) :1-16
[18]   Gel formation by reversible cluster-cluster aggregation [J].
Jin, JM ;
Parbhakar, K ;
Dao, LH ;
Lee, KH .
PHYSICAL REVIEW E, 1996, 54 (01) :997-1000
[19]   THE SOL-GEL TRANSITION MODELED BY IRREVERSIBLE AGGREGATION OF CLUSTERS [J].
KOLB, M ;
HERRMANN, HJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (08) :L435-L441
[20]   SCALING OF KINETICALLY GROWING CLUSTERS [J].
KOLB, M ;
BOTET, R ;
JULLIEN, R .
PHYSICAL REVIEW LETTERS, 1983, 51 (13) :1123-1126