Quick search Find article
Quick search
Find article

Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model

F Family and T Vicsek

Show affiliations


The interface of the Eden clusters on percolation networks and the ballistic deposition model is studied by Monte Carlo simulations, using a simple definition for the surface thickness. The width of the active zone in the ballistic deposition model is found to diverge differently from the mean height, indicating breakdown of the single scaling length assumption in this model. The exponents nu and nu ' describing, respectively, the divergence of the radius and the active zone of the Eden clusters on percolation networks appear to be the same within the statistical errors. The central value of nu ', however, is slightly, but systematically, less than nu . The surface thickness of ballistic deposits is shown to exhibit finite-size scaling.


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

05.10.Ln Monte Carlo methods

MSC

82B43 Percolation (See also 60K35)

82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 2 (1 February 1985)



  1. Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model

    F Family and T Vicsek 1985 J. Phys. A: Math. Gen. 18 L75

  2. Differential equations, Frobenius theorem and local flows on supermanifolds

    U Bruzzo and R Cianci 1985 J. Phys. A: Math. Gen. 18 417

  3. Creation and annihilation operators for SU(3) in an SO(6,2) model

    A J Bracken and J H MacGibbon 1984 J. Phys. A: Math. Gen. 17 2581

  4. Notes on 'particle detectors'

    P G Grove and A C Ottewill 1983 J. Phys. A: Math. Gen. 16 3905

  5. Hard hexagons: exact solution

    R J Baxter 1980 J. Phys. A: Math. Gen. 13 L61

  6. Orbital angular momentum and massless particles

    M A Lohe 1977 J. Phys. A: Math. Gen. 10 525

  7. Quantum field theory on a cone

    J S Dowker 1977 J. Phys. A: Math. Gen. 10 115

  8. Community detection with and without prior information

    A. E. Allahverdyan et al 2010 EPL 90 18002

  9. PageRank equation and localization in the WWW

    N. Perra et al 2009 EPL 88 48002

  10. Results in Kalb-Ramond field localization and resonances on deformed branes

    W. T. Cruz et al 2009 EPL 88 41001

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Scaling of rough surfaces: effects of surface diffusion

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.