Scaling properties in the average number of attempts until saturation in random sequential adsorption processes.
In the present paper we investigate the exact average number of attempts until saturation when a square lattice is ceaselessly bombarded with beta-bell (beta> or =1) particles, i.e., linear particles that require beta consecutive lattice sites to be adsorbed. When that average number is normalized with the corresponding single-particle average, a scale invariant behavior is revealed with a scaling exponent alpha=0.017 +/- 0.001, independent of beta (beta>1). The scale behavior is suggested by the branching characteristics governing the sequential random adsorption of beta-bell (beta>1) particles, which is indeed a consequence of configurational correlations.
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Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, CONICET, Facultad de Ciencias Exactas Universidad Nacional de La Plata, República Argentina.
Irurzun
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Mola
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