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.
Articolo in rivista - Articolo scientifico
Alexander-Orbach rule; anomalous diffusion; Percolation; vector computer
English
1990
58
1-2
375
382
none
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/326796
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