Abstract
A transparent conformation space renormalization group formalism is given which can incorporate arbitrary molecular weight distributions to the theory of semi-dilute polymer solutions. The closed forms for the osmotic pressure π and the mean square end-to-end distance of a single test chain are given to order ε{lunate}=4-d, d being the spatial dimensionality, as functionals of the molecular weight distribution function. The scaling form of π is compared to the recent experimental result by Noda et al. A distribution sensitive universal plot is also proposed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 460-464 |
| Number of pages | 5 |
| Journal | Physics Letters A |
| Volume | 89 |
| Issue number | 9 |
| DOIs | |
| State | Published - Jun 14 1982 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Conformation space renormalization theory of semidilute polymer solutions. / Ohta, T.; Oono, Y.
In: Physics Letters A, Vol. 89, No. 9, 14.06.1982, p. 460-464.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Conformation space renormalization theory of semidilute polymer solutions
AU - Ohta, T.
AU - Oono, Y.
PY - 1982/6/14
Y1 - 1982/6/14
N2 - A transparent conformation space renormalization group formalism is given which can incorporate arbitrary molecular weight distributions to the theory of semi-dilute polymer solutions. The closed forms for the osmotic pressure π and the mean square end-to-end distance of a single test chain are given to order ε{lunate}=4-d, d being the spatial dimensionality, as functionals of the molecular weight distribution function. The scaling form of π is compared to the recent experimental result by Noda et al. A distribution sensitive universal plot is also proposed.
AB - A transparent conformation space renormalization group formalism is given which can incorporate arbitrary molecular weight distributions to the theory of semi-dilute polymer solutions. The closed forms for the osmotic pressure π and the mean square end-to-end distance of a single test chain are given to order ε{lunate}=4-d, d being the spatial dimensionality, as functionals of the molecular weight distribution function. The scaling form of π is compared to the recent experimental result by Noda et al. A distribution sensitive universal plot is also proposed.
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UR - http://www.scopus.com/inward/citedby.url?scp=0000136246&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(82)90813-1
DO - 10.1016/0375-9601(82)90813-1
M3 - Article
AN - SCOPUS:0000136246
VL - 89
SP - 460
EP - 464
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 9
ER -