TY - JOUR
T1 - Conformation space renormalization theory of semidilute polymer solutions
AU - Ohta, T.
AU - Oono, Y.
N1 - Funding Information:
T.O. Wishes to thank Professor Kyozi Kawasaki and Professor David Jasnow for valuable discussions. A travel support to T. 0. by Yosida Science Foundation is also acknowledged. Y. 0. is grateful to Professor H. Mori, Professor K. Kawasaki and Professor 1. Ohta for their hospitality at Kyushu University. Particular thanks are due to Professor M.E. McDonnell for sending T. 0. his preprint with Dr. J. Amirzadeh, through which we were aware of ref. \[3\].This work is supported, in part, by the University of Illinois MRL Grant NSF-DMR-80-20250.
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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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 -