Explosive Growth in Biased Dynamic Percolation on Two-Dimensional Regular Lattice Networks
被引:163
作者:
Ziff, Robert M.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Michigan, Ctr Study Complex Syst, Ann Arbor, MI 48109 USA
Univ Michigan, Dept Chem Engn, Ann Arbor, MI 48109 USAUniv Michigan, Ctr Study Complex Syst, Ann Arbor, MI 48109 USA
Ziff, Robert M.
[1
,2
]
机构:
[1] Univ Michigan, Ctr Study Complex Syst, Ann Arbor, MI 48109 USA
[2] Univ Michigan, Dept Chem Engn, Ann Arbor, MI 48109 USA
The growth of two-dimensional lattice bond percolation clusters through a cooperative Achlioptas type of process, where the choice of which bond to occupy next depends upon the masses of the clusters it connects, is shown to go through an explosive, first-order kinetic phase transition with a sharp jump in the mass of the largest cluster as the number of bonds is increased. The critical behavior of this growth model is shown to be of a different universality class than standard percolation.
引用
收藏
页数:4
相关论文
共 15 条
[11]
SAHIMI M, 1994, APPL PERCOLATION THE
[12]
Stauffer D., 1991, Introduction to Percolation Theory