Critical Nature of the Size Exponent of Polymers
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917601438859264 |
|---|---|
| author | Suematsu, Kazumi Ogura, Haruo Inayama, Seiichi Okamoto, Toshihiko |
| author_facet | Suematsu, Kazumi Ogura, Haruo Inayama, Seiichi Okamoto, Toshihiko |
| contents | On the basis of the thermodynamic theory of the excluded volume effects, we show that the size exponent varies abruptly, depending on the change of the segment concentration. For linear polymers, the exponent changes discontinuously from $ν=3/5$ for the isolated system ($\barϕ=0$) in good solvents to $ν=1/2$ in the finite concentration ($0<\barϕ\le1$), while for branched polymers having $ν_{0}=1/4$, the corresponding exponent varies from $ν=1/2$ ($\barϕ=0$) to $ν\cong 1/3$ ($0<\barϕ\le1$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00356 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical Nature of the Size Exponent of Polymers Suematsu, Kazumi Ogura, Haruo Inayama, Seiichi Okamoto, Toshihiko Soft Condensed Matter Chemical Physics On the basis of the thermodynamic theory of the excluded volume effects, we show that the size exponent varies abruptly, depending on the change of the segment concentration. For linear polymers, the exponent changes discontinuously from $ν=3/5$ for the isolated system ($\barϕ=0$) in good solvents to $ν=1/2$ in the finite concentration ($0<\barϕ\le1$), while for branched polymers having $ν_{0}=1/4$, the corresponding exponent varies from $ν=1/2$ ($\barϕ=0$) to $ν\cong 1/3$ ($0<\barϕ\le1$). |
| title | Critical Nature of the Size Exponent of Polymers |
| topic | Soft Condensed Matter Chemical Physics |
| url | https://arxiv.org/abs/2403.00356 |