Recent results of Monte Carlo simulations of the ant-in-the-labyrinth method in three-dimensional percolation lattices are reanalyzed in the light of more accurate corrections to scaling ansatz, motivated by inconsistent results that have appeared in the literature. The results are observed to be sensitive to the form of the scaling correction terms. Using a single correction term, we estimate the value k=0.197±0.004 for the anomalous diffusion exponent at criticality. When two correction terms are included, k=0.200±0.002 is obtained. These new estimates are consistent with known theoretical bounds, with recent series expansion results, and with numerical calculations of the conductance of random resistor networks above criticality. © 1991 Plenum Publishing Corporation.
Duering, E., Roman, H. (1991). Corrections to scaling for diffusion exponents on three-dimensional percolation systems at criticality. JOURNAL OF STATISTICAL PHYSICS, 64(3-4), 851-858 [10.1007/BF01048320].
Corrections to scaling for diffusion exponents on three-dimensional percolation systems at criticality
Roman H. E.
1991
Abstract
Recent results of Monte Carlo simulations of the ant-in-the-labyrinth method in three-dimensional percolation lattices are reanalyzed in the light of more accurate corrections to scaling ansatz, motivated by inconsistent results that have appeared in the literature. The results are observed to be sensitive to the form of the scaling correction terms. Using a single correction term, we estimate the value k=0.197±0.004 for the anomalous diffusion exponent at criticality. When two correction terms are included, k=0.200±0.002 is obtained. These new estimates are consistent with known theoretical bounds, with recent series expansion results, and with numerical calculations of the conductance of random resistor networks above criticality. © 1991 Plenum Publishing Corporation.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
