### 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) |
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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 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Journal of the Physical Society of Japan*,

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