Abstract
| - Geometrical entanglements in a polymer network can be characterized in terms of the mean number ofprojected bond−bond crossings, N̄. Here, we present an analytical method to study the dependence of N̄ onthe number of bonds in the network, n. Our approach shows the occurrence of power-law scaling, N̄ ∼ nβ.The estimated upper bound to the exponent for maximally compact networks, β ≈ 1.38, agrees well withthe values observed in simulations of transient networks in liquids and in the folding features of nativestates of globular proteins.
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