Physics and Astronomy, Mathematics, Ames Laboratory
Journal or Book Title
Physical Review B
Consider a gas of noninteracting particles diffusing into a semi-infinite lattice, Z+×ZD−1, subject to exclusion of double occupancy. An exact closed set of equations can be obtained and solved (in closed form) for the single-site occupancies or densities. Equations for the n-site occupancies couple only to such functions for n and n-1 sites, as for an infinite lattice. Their analysis reveals that negative pair correlations develop during this process, reflecting the propensity for diffusion to reduce density inhomogeneities and fluctuations.
American Physical Society
Evans, James W., "Diffusion of noninteracting particles into a semi-infinite lattice" (1990). Physics and Astronomy Publications. 424.