Inversion symmetry, architecture and dispersity, and their effects on thermodynamics in bulk and confined regions: From randomly branched polymers to linear chains, stars and dendrimers
Theoretical evidence is presented in this review that architectural aspects can play an important role, not only in the bulk but also in confined geometries by using our recursive lattice theory, which is equally applicable to fixed architectures (regularly branched polymers, stars, dendrimers, b...
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| Datum: | 2002 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2002
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/120583 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Inversion symmetry, architecture and dispersity, and their effects on thermodynamics in bulk and confined regions: From randomly branched polymers to linear chains, stars and dendrimers / P.D. Gujrati // Condensed Matter Physics. — 2002. — Т. 5, № 1(29). — С. 137-172. — Бібліогр.: 61 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Theoretical evidence is presented in this review that architectural aspects
can play an important role, not only in the bulk but also in confined geometries
by using our recursive lattice theory, which is equally applicable to
fixed architectures (regularly branched polymers, stars, dendrimers, brushes,
linear chains, etc.) and variable architectures, i.e. randomly branched
structures. Linear chains possess an inversion symmetry (IS) of a magnetic
system (see text), whose presence or absence determines the bulk
phase diagram. Fixed architectures possess the IS and yield a standard
bulk phase diagram in which there exists a theta point at which two critical
lines C and C′ meet and the second virial coefficient A₂ vanishes.
The critical line C appears only for infinitely large polymers, and an order
parameter is identified for this criticality. The critical line C′ exists for polymers
of all sizes and represents phase separation criticality. Variable architectures,
which do not possess the IS, give rise to a topologically different
phase diagram with no theta point in general. In confined regions next to
surfaces, it is not the IS but branching and monodispersity, which becomes
important in the surface regions. We show that branching plays no important
role for polydisperse systems, but become important for monodisperse
systems. Stars and linear chains behave differently near a surface. |
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