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- W2000674089 abstract "We examine the relaxation behaviour of an entangled cross-linked polymer gel as it approaches the gel point in mean field (Flory-Stockmayer) percolation. The calculation is based on a tube model for the topological interactions in which stress is lost via hierarchical fluctuation of the primitive paths between cross-links. The decay time of a segment is calculated via a recursion relation which has an analytic solution near the gel point. The startling conclusion is that all clusters relax in a finite time T~ giving a relaxation modulus G (t ) = Go 03B3-2[03B1-1 ln (T~/t)]4, where 03B1 counts the number of entanglements between cross-links and 03B3 is a constant of order unity. For timescales much shorter than T~ this may resemble a weak power law. The unphysically rapid relaxation of the largest clusters is prevented by a transition to percolation statistics at long length scales. The timescale separating the two regimes is close to" @default.
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- W2000674089 date "1990-01-01" @default.
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- W2000674089 title "Relaxation of entangled polymers at the classical gel point" @default.
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- W2000674089 doi "https://doi.org/10.1051/jphys:01990005108075700" @default.
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