On the Unperturbed State of a Polymer Chain

Yoshitsugu Oono

Research output: Contribution to journalArticle

Abstract

The mean square end-to-end distances ⟨R2⟩∝N 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.

Original languageEnglish (US)
Pages (from-to)228-236
Number of pages9
JournalJournal of the Physical Society of Japan
Volume41
Issue number1
DOIs
StatePublished - Jan 1 1976

Fingerprint

polymers
unity
distribution functions
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

In: Journal of the Physical Society of Japan, Vol. 41, No. 1, 01.01.1976, p. 228-236.

Research output: Contribution to journalArticle

Oono, Yoshitsugu. / On the Unperturbed State of a Polymer Chain. In: Journal of the Physical Society of Japan. 1976 ; Vol. 41, No. 1. pp. 228-236.
@article{6887ef3693174a23afeada39031db8ae,
title = "On the Unperturbed State of a Polymer Chain",
abstract = "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.",
author = "Yoshitsugu Oono",
year = "1976",
month = "1",
day = "1",
doi = "10.1143/JPSJ.41.228",
language = "English (US)",
volume = "41",
pages = "228--236",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "1",

}

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 -