NDLI: The Lagrangian theory of polymer solutions at intermediate concentrations

Content Provider	EDP Sciences
Author	J. des Cloizeaux
Abstract	De Gennes has shown that the properties of an isolated polymer in a solution (a chain with excluded volume) can be deduced within the framework of a Lagrangian theory for a zero component field in the absence of an external field. This result in generalized to the case of polymer solutions at intermediate concentrations. It is shown that a grand ensemble of polymers can be described by using a Lagrangian theory for a zero component field coupled to an external field. The concentrations Cp of polymers (chains) and C m of monomers (links) are fixed by two chemical potentials. It is shown that the osmotic pressure obeys a scaling law of the form (P/KTCp) = F(Cp N3ν) where N is the mean number of monomers per polymer (N = Cp/C m) and ν the critical index defining the size of a long isolated polymer. The function F(λ) can be expanded in powers of λ and it is given implicitly by the generating functional of the zero-momentum vertex functions derived from the Lagrangian theory. The results seem to be in good agreement with experiments.
Ending Page	291
Starting Page	281
Page Count	11
File Format	HTM / HTML PDF
ISSN	03020738
Alternate Webpage(s)	http://dx.doi.org/10.1051/jphys:01975003604028100
Issue Number	4
Journal	Journal de Physique
Volume Number	36
DOI	10.1051/jphys:01975003604028100
Language	English
Publisher	Société Française de Physique
Publisher Date	1975-04-01
Access Restriction	Subscribed
Subject Keyword	polymers solutions
Content Type	Text
Resource Type	Article
Subject	Engineering

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