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- W2094363336 abstract "We consider a polymer network G with fixed topology made of long polymer chains of common polymerization degree N. The network is assumed to be dissolved in a melt of short linear polymer chains of polymerization degree P < N. Probe N-chains and mobile P-chains are assumed to be of the same chemical nature. Let ΦP be any physical property (partition function, gyration radius, …) associated with the network. The purpose is to investigate quantitatively the behavior of Φp in the long-chain limit (N → ∞, at fixed P). Assume that the same physical quantity behaves for a low-molecular weight solvent (P=1) as: Φ1 NX+σ, where x is the critical exponent when G is ideal, and the additional one, σ, which is universal but it depends on the topology of G, characterizes the swelling of N-chains. We show that the asymptotic behavior of ΦP for a high-molecular weight solvent reads: ΦP ∼ P−2σ/(4−d)NX+σ, provided that N > P2/(4−d) (d =2, 3 is the space dimensionality and 4 is the critical dimension of the system). However, at dimension 3, when N < P2, the network becomes ideal. Thus, a crossover between ideal and real networks occurs along the curve of equation N ∼ P2 in the (P, N)-space. In dimension 2, we find that the network is always swollen by mobile chains, as long as N > P, which is the condition defining the system in the beginning. The main conclusion is that, in the presence of a high-molecular weight solvent, the asymptotic behavior is renormalized multiplicatively by a Pζ-factor, whose exponent ζ is related to the swelling exponent σ relative to a solvent of small molecules through: ζ = −2σ/(4−d). Finally, this unified description can be extended to polymer networks near interacting surfaces." @default.
- W2094363336 created "2016-06-24" @default.
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- W2094363336 date "2003-09-01" @default.
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- W2094363336 title "Polymer network of fixed topology in a high-molecular weight solvent" @default.
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- W2094363336 doi "https://doi.org/10.1016/s0167-7322(03)00154-5" @default.
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