# Scaling behavior of jamming fluctuations upon random sequential adsorption

Listed:
• E. Loscar
• R. Borzi
• E. Albano

()

## Abstract

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
as

File URL: http://hdl.handle.net/10.1140/epjb/e2003-00329-6

As the access to this document is restricted, you may want to search for a different version of it.

## Corrections

All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:36:y:2003:i:2:p:157-160. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: http://www.springer.com .

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

We have no references for this item. You can help adding them by using this form .

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.