Extensive Monte Carlo simulations of the ant-in-the-labyrinth problem on random L* L* L simple cubic lattices are performed, for L up to 960 on a CRAY-YMP supercomputer. The exponent k for the rms displacement r with t in r∼tk is found to be k=0.190±0.003. As a second approach, large percolation clusters with chemical shells up to 300 are generated on a simple cubic lattice at criticality. The diffusion equation is then solved by using the exact enumeration technique. The corresponding critical exponent dw is found to be 1/dw=0.250±0.003. © 1990 Plenum Publishing Corporation.
Eduardo Roman, H. (1990). Diffusion in three-dimensional random systems at their percolation thresholds. JOURNAL OF STATISTICAL PHYSICS, 58(1-2), 375-382 [10.1007/BF01020299].
Diffusion in three-dimensional random systems at their percolation thresholds
Eduardo Roman H.
1990
Abstract
Extensive Monte Carlo simulations of the ant-in-the-labyrinth problem on random L* L* L simple cubic lattices are performed, for L up to 960 on a CRAY-YMP supercomputer. The exponent k for the rms displacement r with t in r∼tk is found to be k=0.190±0.003. As a second approach, large percolation clusters with chemical shells up to 300 are generated on a simple cubic lattice at criticality. The diffusion equation is then solved by using the exact enumeration technique. The corresponding critical exponent dw is found to be 1/dw=0.250±0.003. © 1990 Plenum Publishing Corporation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.