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Percolation of polyatomic species on a square lattice

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Abstract.

In this paper, the percolation of (a) linear segments of size k and(b) k-mers of different structures and forms deposited on a square lattice have been studied. In the latter case, site and bond percolation have been examined. The analysis of results obtained by using finite size scaling theory is performed in order to test the universality of the problem by determining the numerical values of the critical exponents of the phase transition occurring in the system. It is also determined that the percolation threshold exhibits a exponentially decreasing function when it is plotted as a function of the k-mer size. The characteristic parameters of that function are dependent not only on the form and structure of the k-mers but also on the properties of the lattice where they are deposited.

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Authors and Affiliations

  1. Departamento de Física, Universidad Nacional de San Luis, CONICET, Chacabuco 917, 5700, San Luis, Argentina

    V. Cornette, A. J. Ramirez-Pastor & F. Nieto

Authors
  1. V. Cornette
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  2. A. J. Ramirez-Pastor
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  3. F. Nieto
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Correspondence to F. Nieto.

Additional information

Received: 3 September 2003, Published online: 23 December 2003

PACS:

64.60.Ak Renormalization-group, fractal, and percolation studies of phase transitions - 68.35.Rh Phase transitions and critical phenomena - 68.35.Fx Diffusion; interface formation

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Cornette, V., Ramirez-Pastor, A.J. & Nieto, F. Percolation of polyatomic species on a square lattice. Eur. Phys. J. B 36, 391–399 (2003). https://doi.org/10.1140/epjb/e2003-00358-1

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