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- W2002456715 abstract "The scaling of the shear modulus near the gelation/vulcanization transition is explored heuristically and analytically. It is found that in a dense melt the effective chains of the infinite cluster have sizes that scale sub-linearly with their contour length. Consequently, each contributes k_B T to the rigidity, which leads to a shear modulus exponent dnu. In contrast, in phantom elastic networks the scaling is linear in the contour length, yielding an exponent identical to that of the random resistor network conductivity, as predicted by de Gennes'. For non-dense systems, the exponent should cross over to dnu when the percolation length becomes much larger than the density-fluctuation length." @default.
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- W2002456715 date "2004-11-24" @default.
- W2002456715 modified "2023-10-16" @default.
- W2002456715 title "Scaling of Entropic Shear Rigidity" @default.
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- W2002456715 doi "https://doi.org/10.1103/physrevlett.93.225701" @default.
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