### Abstract

The mean square end-to-end distances ⟨R^{2}⟩∝N^{2ν} and the end-to-end vector distribution functions P(R) of a polymer chain at Θ-point and in the polymer melt are considered in the framework of the self-consistent approximation developed by Edwards. The following conclusions are drawn. i) At Θ-point 2ν=1, but P(R) is not gaussian in three dimensional space. ii) In the melt 2ν=1 and P(R) is very close to gaussian in three dimensional space. iii) The mechanisms making 2ν unity in the two cases above are different and hence ⟨R^{2}⟩ are generally different in these two cases. iv) The parameter z of the two-parameter theory is not a good parameter for analyzing the data near Θ-point.

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

Pages (from-to) | 228-236 |

Number of pages | 9 |

Journal | Journal of the Physical Society of Japan |

Volume | 41 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1976 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*41*(1), 228-236. https://doi.org/10.1143/JPSJ.41.228

**On the Unperturbed State of a Polymer Chain.** / Oono, Yoshitsugu.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 41, no. 1, pp. 228-236. https://doi.org/10.1143/JPSJ.41.228

}

TY - JOUR

T1 - On the Unperturbed State of a Polymer Chain

AU - Oono, Yoshitsugu

PY - 1976/1/1

Y1 - 1976/1/1

N2 - The mean square end-to-end distances ⟨R2⟩∝N2ν and the end-to-end vector distribution functions P(R) of a polymer chain at Θ-point and in the polymer melt are considered in the framework of the self-consistent approximation developed by Edwards. The following conclusions are drawn. i) At Θ-point 2ν=1, but P(R) is not gaussian in three dimensional space. ii) In the melt 2ν=1 and P(R) is very close to gaussian in three dimensional space. iii) The mechanisms making 2ν unity in the two cases above are different and hence ⟨R2⟩ are generally different in these two cases. iv) The parameter z of the two-parameter theory is not a good parameter for analyzing the data near Θ-point.

AB - The mean square end-to-end distances ⟨R2⟩∝N2ν and the end-to-end vector distribution functions P(R) of a polymer chain at Θ-point and in the polymer melt are considered in the framework of the self-consistent approximation developed by Edwards. The following conclusions are drawn. i) At Θ-point 2ν=1, but P(R) is not gaussian in three dimensional space. ii) In the melt 2ν=1 and P(R) is very close to gaussian in three dimensional space. iii) The mechanisms making 2ν unity in the two cases above are different and hence ⟨R2⟩ are generally different in these two cases. iv) The parameter z of the two-parameter theory is not a good parameter for analyzing the data near Θ-point.

UR - http://www.scopus.com/inward/record.url?scp=0343224079&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0343224079&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.41.228

DO - 10.1143/JPSJ.41.228

M3 - Article

AN - SCOPUS:0343224079

VL - 41

SP - 228

EP - 236

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 1

ER -