AbstractView references

Kinetics of the deposition process of k -mers in the presence of desorption or/and diffusional relaxation of particles is studied by Monte Carlo method on a one-dimensional lattice. For reversible deposition of k -mers, we find that after the initial "jamming," a stretched exponential growth of the coverage θ (t) toward the steady-state value θeq occurs, i.e., θeq -θ (t) sqr;exp [- (t/τ) β]. The characteristic time scale τ is found to decrease with desorption probability Pdes according to a power law, τsqr; P des -γ, with the same exponent γ=1.22±0.04 for all k -mers. For irreversible deposition with diffusional relaxation, the growth of the coverage θ (t) above the jamming limit to the closest packing limit (CPL) θCPL is described by the pattern θCPL -θ (t) sqr; Eβ [- (t/τ) β], where Eβ denotes the Mittag-Leffler function of order βsqr; (0,1). Similarly to the reversible case, we found that the dependence of the relaxation time τ on the diffusion probability Pdif is consistent again with a simple power-law, i.e., τsqr; P dif -δ. When adsorption, desorption, and diffusion occur simultaneously, coverage always reaches an equilibrium value θeq, which depends only on the desorption/adsorption probability ratio. The presence of diffusion only hastens the approach to the equilibrium state, so that the stretched exponential function gives a very accurate description of the deposition kinetics of these processes in the whole range above the jamming limit. © 2009 The American Physical Society.