Symmetry effects in reversible random sequential adsorption on a triangular lattice

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 rho(t) above the jamming limit to its steady-state value rho(infinity) is described by a pattern rho(t)=rho(infinity)-Delta rho E-beta[-(t/tau)(beta)], where E-beta denotes the Mittag-Leffler function of order beta is an element of(0,1). The parameter tau is found to decay with the desorption probability P- according to a power law tau=AP(-)(-gamma). The exponent gamma is the same for all shapes, gamma=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.