AbstractView references

Reversible random sequential adsorption of objects of various shapes on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The growth of the coverage ρ (t) above the jamming limit to its steady-state value ρ is described by a pattern ρ (t) = ρ -Δρ Eβ [- (tτ)β], where Eβ denotes the Mittag-Leffler function of order β (0,1). The parameter τ is found to decay with the desorption probability P- according to a power law τ=A P- -γ. The exponent γ is the same for all shapes, γ=1. 29±0.01, but the parameter A depends only on the order of symmetry axis of the shape. Finally, we present the possible relevance of the model to the compaction of granular objects of various shapes. © 2005 The American Physical Society.