J. Phys. II France
Volume 6, Numéro 5, May 1996
|Page(s)||587 - 591|
References of J. Phys. II France 6 587-591
- Grest G.S., Fetters L.J., Huang J.S. and Richter D., Adv. Chem. Phys., Vol. 94, E. Prigogine and S. A. Rice Eds. (New York, 1996).
- Daoud M., Cotton J.-P., J. Phys. France 43 (1982) 531 [CrossRef] [EDP Sciences].
- Raphaël E., Pincus P. and Fredrickson G.H., Macromolecules 26 (1993) 1996-2006 [CrossRef].
- The results (1) and (2) are easily generalized to the case P > N ; see the upper part of Figure 1.
- Consider an isolated linear chain, with degree of polymerization N, dissolved in a melt of shorter, chemically identical chains with degree of polymerization P. The chain behaves like a string of subunits, usually called melt blobs, each containing gc = P2 monomers. Within one melt blob the behavior is ideal, leading to a blob size lc = aP. Different melt blobs repel each other, and the resulting self-avoiding chain (of unit step lc) has a size where is the Flory 3-dimensional exponent. See, e.g., de Gennes P.-G., "Scaling Concepts in Polymer Physics" (Cornell University Press, Ithaca, Fourth Printing, 1985).
- Aubouy M., Fredrickson G.H., Pincus P., Raphaël E., Macromolecules 28 (1995) 2979-2981 [CrossRef].
- Note that the results concerning the star radius R may be recovered by minimizing the Flory free energy per arm + + (where is the average monomer concentration of the star), keeping in mind the conditions (i.e. and
- A somewhat similar Gaussian behavior was described by Birshtein and Zhulina for stars with a small number of semiflexible branches in low molecular weight solvents. See Birshtein T.M., Zhulina E.B., Polymer 25 (1984) 1453-1461 [CrossRef].