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Polydisperse adsorption: Pattern formation kinetics, fractal properties, and transition to order

Polydisperse adsorption: Pattern formation kinetics, fractal properties, and transition to order

We investigate the process of random sequential adsorption of polydisperse particles whose size distribution exhibits a power-law dependence in the small size limit, $P(R)\ensuremath{\sim}{R}^{\ensuremath{\alpha}\ensuremath{-}1}.$ We reveal a relation between pattern formation kinetics and structural properties of arising patterns. We propose a mean-field theory that provides a fair description for sufficiently …