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• W2017282254 abstract "We present a first-principles theory for the slow dynamics of a fluid of entangling rigid crosses of zero excluded volume based on a generalization of the dynamic mean-field approach of Szamel for infinitely thin nonrotating rods. The latter theory exactly includes topological constraints at the two-body collision level and self-consistently renormalizes an effective diffusion tensor to account for many-body effects. Remarkably, it predicts scaling laws consistent with the phenomenological reptation-tube predictions of Doi and Edwards for the long-time diffusion and the localization length in the heavily entangled limit. We generalize this approach to a different macromolecular architecture, infinitely thin three-dimensional crosses, and also extend the range of densities over which a dynamic localization length can be calculated for rods. Ideal gases of nonrotating crosses have recently received attention in computer simulations and are relevant as a simple model of both a strong-glass former and entangling star-branched polymers. Comparisons of our theory with these simulations reveal reasonable agreement for the magnitude and reduced density dependence of the localization length and also the self-diffusion constant if the consequences of local density fluctuations are taken into account." @default.
• W2017282254 created "2016-06-24" @default.
• W2017282254 creator A5010013003 @default.
• W2017282254 creator A5045572539 @default.
• W2017282254 date "2011-06-07" @default.
• W2017282254 modified "2023-10-04" @default.
• W2017282254 title "Microscopic theory of topologically entangled fluids of rigid macromolecules" @default.
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• W2017282254 doi "https://doi.org/10.1103/physreve.83.061501" @default.
• W2017282254 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/21797366" @default.
• W2017282254 hasPublicationYear "2011" @default.
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