J. Phys. II France
Volume 2, Numéro 10, October 1992
Page(s) 1797 - 1801
DOI: 10.1051/jp2:1992235
J. Phys. II France 2 (1992) 1797-1801

Swelling of percolation clusters

Michael Schulz

Fachbereich Physik, TH Merseburg, D-O-4200 Merseburg, Germany

(Received 7 July 1992, revised 4 August 1992, accepted in final form 17 August 1992)

The swelling of percolation clusters as models for gelling branched polymers is analyzed by using a simple mean-field approach (for all dimensions) and a Monte-Carlo simulation (for d=3, bond fluctuation method). The numerical swelling exponent $\mu '=0.443 \,\pm\, 0.008$ shows a significant deviation from the lattice animals solution $\mu '=0.5$, which is caused by the difference between quenched and annealed average procedures.

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