A Monte Carlo Study of Subdiffusive Displacements of Interacting Particles in a Percolating System
Physics and Astronomy
A computer-simulation model is introduced to study the transport properties of interacting particles of concentration p in a percolating system near the percolation threshold. A nearest neighbor interaction is considered among the particles and the accessible sites of the percolating substrate. The transport behaviour is found to be concentration (p) and temperature (T) limited in a specific p-T regime. The subdiffusive behaviour at high temperatures seems consistent with the anomalous diffusion of a noninteracting lattice gas. The rms displacement seems consistent with the anomalous diffusion of a noninteracting lattice gas. The rms displacement of the particles (R(tr)) exhibits ultra-slow power-law diffusion at low temperatures at a moderate concentration p. The rms displacement of the center of mass of the particles (R(cm)) on the other hand shows a diffusion like power-law behaviour before it saturates in a certain temperature regime.
Physica A: Statistical Mechanics and its Applications
Pandey, R. B.
(1992). A Monte Carlo Study of Subdiffusive Displacements of Interacting Particles in a Percolating System. Physica A: Statistical Mechanics and its Applications, 191(1-4), 438-441.
Available at: https://aquila.usm.edu/fac_pubs/6914