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Two-Parameter Scaling for Polymers in Solvents

Publication ,  Journal Article
Colby, RH; Rubinstein, M
Published in: Macromolecules
1990

We revive an old conjecture that a fixed number of binary contacts between chains collec-tively make up the topological constraint commonly referred to as an entanglement. This leads us to a general scaling theory for semidilute polymer solutions which involves two length scales, the screening length £ and the tube diameter a. In good solvents these two lengths have the same concentration depen-dence and we recover the de Gennes results. In solvents the two length scales depend on concentration differently. Combining the concentration dependences of these two length scales with concepts from the-ories of rubber elasticity and reptation leads to new predictions for the plateau modulus G feT/(o2£) c7/3 and viscosity Af2/3(c/c*)14/3 in solvents, where M is the polymer molecular weight and c* is the overlap concentration. These predictions are found to compare favorably with available experimental data.

Duke Scholars

Published In

Macromolecules

Publication Date

1990

Volume

23

Start / End Page

2753 / 2757

Related Subject Headings

  • Polymers
  • 09 Engineering
  • 03 Chemical Sciences
 

Citation

APA
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ICMJE
MLA
NLM
Colby, R. H., & Rubinstein, M. (1990). Two-Parameter Scaling for Polymers in Solvents. Macromolecules, 23, 2753–2757.
Colby, Ralph H., and Michael Rubinstein. “Two-Parameter Scaling for Polymers in Solvents.” Macromolecules 23 (1990): 2753–57.
Colby RH, Rubinstein M. Two-Parameter Scaling for Polymers in Solvents. Macromolecules. 1990;23:2753–7.
Colby, Ralph H., and Michael Rubinstein. “Two-Parameter Scaling for Polymers in Solvents.” Macromolecules, vol. 23, 1990, pp. 2753–57.
Colby RH, Rubinstein M. Two-Parameter Scaling for Polymers in Solvents. Macromolecules. 1990;23:2753–2757.

Published In

Macromolecules

Publication Date

1990

Volume

23

Start / End Page

2753 / 2757

Related Subject Headings

  • Polymers
  • 09 Engineering
  • 03 Chemical Sciences