Comparison between Borel resummation and renormalization group descriptions of polymer expansion

作者: Karl F. Freed , Jack F. Douglas

DOI: 10.1063/1.454007

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摘要: Borel summations on the sixth‐order perturbation series for polymer mean square end‐vector expansion factor α2 by Muthukumar and Nickel are compared with computationally simpler second order in e renormalization group crossover description of excluded volume dependence α2. An essential feature comparison is use same cross over variables definitions both treatments. The agreement found to be very good.

参考文章(16)
Hiromi Yamakawa, Modern Theory of Polymer Solutions Harper & Row. pp. 1- 434 ,(1971)
J. Des Cloizeaux, R. Conte, G. Jannink, Swelling of an isolated polymer chain in a solvent Journal de Physique Lettres. ,vol. 46, pp. 595- 600 ,(1985) , 10.1051/JPHYSLET:019850046013059500
Jack Douglas, Karl F. Freed, Renormalization and the two-parameter theory Macromolecules. ,vol. 17, pp. 2344- 2354 ,(1984) , 10.1021/MA00141A026
Binny J. Cherayil, Jack F. Douglas, Karl F. Freed, Effect of residual interactions on polymer properties near the theta point. II: Higher moments and comparison with Monte Carlo calculations Journal of Chemical Physics. ,vol. 87, pp. 3089- 3098 ,(1987) , 10.1063/1.453046
J. C. Le Guillou, J. Zinn-Justin, Critical Exponents for the N Vector Model in Three-Dimensions from Field Theory Physical Review Letters. ,vol. 39, pp. 95- 98 ,(1977) , 10.1103/PHYSREVLETT.39.95
A. L. Kholodenko, Karl F. Freed, Theta point (‘‘tricritical’’) region behavior for a polymer chain: Transition to collapse Journal of Chemical Physics. ,vol. 80, pp. 900- 924 ,(1984) , 10.1063/1.446748