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Scaling behavior of jamming fluctuations upon random sequential adsorption


  • E. Loscar
  • R. Borzi
  • E. Albano



It is shown that the fluctuations of the jamming coverage upon Random Sequential Adsorption (RSA) ( $\sigma_{\theta_J}$ ), decay with the lattice size according to the power-law $\sigma_{\theta_J} \propto L^{-1/\nu_{J}}$ , with $\nu_{J}=\frac{2}{2D - d_{\rm f}}$ ,where D is the dimension of the substrate and $d_{\rm f}$ 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 $\nu_{J}=1.0 \pm 0.1$ for the RSA of needles with D=2 and $d_{\rm f}=2$ , that gives $\nu_{J}=1$ . 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. Copyright Springer-Verlag Berlin/Heidelberg 2003

Suggested Citation

  • E. Loscar & R. Borzi & E. Albano, 2003. "Scaling behavior of jamming fluctuations upon random sequential adsorption," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 36(2), pages 157-160, November.
  • Handle: RePEc:spr:eurphb:v:36:y:2003:i:2:p:157-160
    DOI: 10.1140/epjb/e2003-00329-6

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    1. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner (ed.), 2009. "Handbook of Financial Markets: Dynamics and Evolution," Elsevier Monographs, Elsevier, edition 1, number 9780123742582.
    2. Jean-Philippe Bouchaud & J. Doyne Farmer & Fabrizio Lillo, 2008. "How markets slowly digest changes in supply and demand," Papers 0809.0822,
    3. Austin Gerig, 2008. "A Theory for Market Impact: How Order Flow Affects Stock Price," Papers 0804.3818,, revised Jul 2008.
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