https://doi.org/10.1007/s100510070255
Variation of cluster properties in lattice percolation problem: A prototype of phase transition
National Institute of Chemistry, PO Box 3430, 1001 Ljubljana, Slovenia
Corresponding author: a branko@hp10.ki.si
Received:
31
August
1999
Revised:
14
February
2000
Published online: 15 July 2000
Properties of clusters appearing in the site percolation problem on square and cubic lattices are expressed in a way that emphasizes the thermodynamic analogy. It is shown that the analog of the specific heat exhibits expected critical behaviour as a function of the analog of the temperature. The results support the notion that the partition of the specific heat of Ising systems (Borštnik and Lukman, Phys. Rev. E 60, 2595 (1999)) into the structural and populational component is a meaningful one. Another cluster property which is taken under the scrutiny is the fractal dimensionality of clusters which also indicates the presence of phase transition.
PACS: 05.45.Df – Fractals / 36.40.Ei – Phase transitions in clusters / 64.60.Ak – Fractal and percolation studies of phase transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
