https://doi.org/10.1140/epjb/e2003-00329-6
Scaling behavior of jamming fluctuations upon random sequential adsorption
Instituto de Investigaciones Fisicoquímicas Teóricas y
Aplicadas (INIFTA), UNLP, CONICET, Casilla de Correo,
16 Sucursal 4, (1900) La Plata, Argentina
Corresponding author: a ealbano@inifta.unlp.edu.ar
Received:
2
July
2003
Revised:
17
October
2003
Published online:
8
December
2003
It is shown that the fluctuations of the jamming coverage upon Random Sequential
Adsorption (RSA) (
), decay with the lattice size according
to the power-law 
, with
, 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 
for the RSA of needles with D = 2 and
, that gives 
. 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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.-r – Probability theory, stochastic processes, and statistics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
