Scaling behavior of jamming fluctuations upon random sequential adsorption

ERNESTO S. LOSCAR; RODOLFO A. BORZI; EZEQUIEL V. ALBANO

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

European Physical Society

Lugar: Bristol, UK; Año: 2003 vol. 36 p. 157 - 160

1434-6028

It is shown that the fluctuations of the jamming coverage upon Random Sequential Adsorption (RSA) sJ, decay with the lattice size according to the power-law sJ µ L-(1/vj), with nj = 2/(2D-df), where D is the dimension of the substrate and df is the fractal dimension of the set of sites belonging to the substrate where the RSA process actually takes place. This result is in excellent agreement with the figure recently reported by Vandewalle et al. [Eur. Phys. J. B 14, 407 (2000)], namely nj= 1.0 ± 0.1 for the RSA of needles with D = 2 and df = 2, that gives nj = 1. Furthermore, our prediction is in excellent agreement with different previous numerical results. The derived relationships are also confirmed by means of extensive numerical simulations applied to the RSA of dimers on both stochastic and deterministic fractal substrates.