Singular behaviour of the free energy in the sol-gel transition
- 1 August 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (8), L301-L306
- https://doi.org/10.1088/0305-4470/14/8/008
Abstract
The problem whether the sol-gel transition is accompanied by singularities in the free energy is investigated. Two kinds of gels are considered, the weak and the strong gels. In the former case the cross-links are 'annealed', while in the latter they are 'quenched' or permanent. It is found that the 'annealed' free energy has no singularity while the 'quenched' free energy has a singularity at the percolation threshold, given by the elasticity critical exponent.Keywords
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