The structure of percolation clusters at criticality, described by the distribution of the end-to-end distance r between two cluster sites as a function of their minimal path length, P(r,), is discussed. Analytical expressions for the exponents describing the distribution for spatial dimensions 2≤d≤6 are presented, and extensive numerical simulations in two and three dimensions are performed in support of these predictions. © 1995 The American Physical Society.
Roman, H. (1995). Structure of random fractals and the probability distribution of random walks. PHYSICAL REVIEW E, 51(6), 5422-5425 [10.1103/PhysRevE.51.5422].
Structure of random fractals and the probability distribution of random walks
Roman H. E.
1995
Abstract
The structure of percolation clusters at criticality, described by the distribution of the end-to-end distance r between two cluster sites as a function of their minimal path length, P(r,), is discussed. Analytical expressions for the exponents describing the distribution for spatial dimensions 2≤d≤6 are presented, and extensive numerical simulations in two and three dimensions are performed in support of these predictions. © 1995 The American Physical Society.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
