### Abstract

The (Gell-Mann-Low type) renormalization group theory is applied to frictional properties of dilute polymer solutions for the first time. The universal ratios such as Flory's intrinsic viscosity constant, the Flory-Scheraga-Mandelkern parameter, etc., are estimated from the first order ε-expansion theory (ε=4-d, d being the spatial dimensionality). The results are in satisfactory agreement with experimental results in both the nondraining Gaussian and nondraining self-avoiding limits. Preaveraging the Oseen tensor makes the value of the intrinsic viscosity about 10% larger according to the first order ε-expansion calculation.

Original language | English (US) |
---|---|

Pages (from-to) | 520-528 |

Number of pages | 9 |

Journal | The Journal of Chemical Physics |

Volume | 78 |

Issue number | 1 |

State | Published - Dec 1 1982 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

*The Journal of Chemical Physics*,

*78*(1), 520-528.

**Renormalization group theory of transport properties of polymer solutions. I. Dilute solutions.** / Oono, Y.; Kohmoto, M.

Research output: Contribution to journal › Article

*The Journal of Chemical Physics*, vol. 78, no. 1, pp. 520-528.

}

TY - JOUR

T1 - Renormalization group theory of transport properties of polymer solutions. I. Dilute solutions

AU - Oono, Y.

AU - Kohmoto, M.

PY - 1982/12/1

Y1 - 1982/12/1

N2 - The (Gell-Mann-Low type) renormalization group theory is applied to frictional properties of dilute polymer solutions for the first time. The universal ratios such as Flory's intrinsic viscosity constant, the Flory-Scheraga-Mandelkern parameter, etc., are estimated from the first order ε-expansion theory (ε=4-d, d being the spatial dimensionality). The results are in satisfactory agreement with experimental results in both the nondraining Gaussian and nondraining self-avoiding limits. Preaveraging the Oseen tensor makes the value of the intrinsic viscosity about 10% larger according to the first order ε-expansion calculation.

AB - The (Gell-Mann-Low type) renormalization group theory is applied to frictional properties of dilute polymer solutions for the first time. The universal ratios such as Flory's intrinsic viscosity constant, the Flory-Scheraga-Mandelkern parameter, etc., are estimated from the first order ε-expansion theory (ε=4-d, d being the spatial dimensionality). The results are in satisfactory agreement with experimental results in both the nondraining Gaussian and nondraining self-avoiding limits. Preaveraging the Oseen tensor makes the value of the intrinsic viscosity about 10% larger according to the first order ε-expansion calculation.

UR - http://www.scopus.com/inward/record.url?scp=36749104520&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749104520&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36749104520

VL - 78

SP - 520

EP - 528

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 1

ER -