Complexes of block copolymers in solution: tree approximation

Research output: Contribution to journalArticleAcademic

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Abstract

We determine the statistical properties of block copolymer complexes in solution. These complexes are assumed to have the topological structure of (i) a tree or of (ii) a line-dressed tree. In case the structure is that of a tree, the system is shown to undergo a gelation transition at sufficiently high polymer concentration. However, if the structure is that of a line-dressed tree, this transition is absent. Hence, we show the assumption about the topological structure to be relevant for the statistical properties of the system. We determine the average size of the complexes and calculate the viscosity of the system under the assumption that the complexes geometrically can be treated as porous spheres.
Original languageUndefined
Pages (from-to)1069-1098
JournalJournal of statistical physics
Volume57
Issue number5-6
DOIs
Publication statusPublished - 1989

Keywords

  • Block copolymers
  • Gelation
  • generating function
  • IR-85950
  • Polya's theorem

Cite this

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title = "Complexes of block copolymers in solution: tree approximation",
abstract = "We determine the statistical properties of block copolymer complexes in solution. These complexes are assumed to have the topological structure of (i) a tree or of (ii) a line-dressed tree. In case the structure is that of a tree, the system is shown to undergo a gelation transition at sufficiently high polymer concentration. However, if the structure is that of a line-dressed tree, this transition is absent. Hence, we show the assumption about the topological structure to be relevant for the statistical properties of the system. We determine the average size of the complexes and calculate the viscosity of the system under the assumption that the complexes geometrically can be treated as porous spheres.",
keywords = "Block copolymers, Gelation, generating function, IR-85950, Polya's theorem",
author = "Geurts, {Bernardus J.} and {van Damme}, {Rudolf M.J.}",
year = "1989",
doi = "10.1007/BF01020049",
language = "Undefined",
volume = "57",
pages = "1069--1098",
journal = "Journal of statistical physics",
issn = "0022-4715",
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Complexes of block copolymers in solution: tree approximation. / Geurts, Bernardus J.; van Damme, Rudolf M.J.

In: Journal of statistical physics, Vol. 57, No. 5-6, 1989, p. 1069-1098.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Complexes of block copolymers in solution: tree approximation

AU - Geurts, Bernardus J.

AU - van Damme, Rudolf M.J.

PY - 1989

Y1 - 1989

N2 - We determine the statistical properties of block copolymer complexes in solution. These complexes are assumed to have the topological structure of (i) a tree or of (ii) a line-dressed tree. In case the structure is that of a tree, the system is shown to undergo a gelation transition at sufficiently high polymer concentration. However, if the structure is that of a line-dressed tree, this transition is absent. Hence, we show the assumption about the topological structure to be relevant for the statistical properties of the system. We determine the average size of the complexes and calculate the viscosity of the system under the assumption that the complexes geometrically can be treated as porous spheres.

AB - We determine the statistical properties of block copolymer complexes in solution. These complexes are assumed to have the topological structure of (i) a tree or of (ii) a line-dressed tree. In case the structure is that of a tree, the system is shown to undergo a gelation transition at sufficiently high polymer concentration. However, if the structure is that of a line-dressed tree, this transition is absent. Hence, we show the assumption about the topological structure to be relevant for the statistical properties of the system. We determine the average size of the complexes and calculate the viscosity of the system under the assumption that the complexes geometrically can be treated as porous spheres.

KW - Block copolymers

KW - Gelation

KW - generating function

KW - IR-85950

KW - Polya's theorem

U2 - 10.1007/BF01020049

DO - 10.1007/BF01020049

M3 - Article

VL - 57

SP - 1069

EP - 1098

JO - Journal of statistical physics

JF - Journal of statistical physics

SN - 0022-4715

IS - 5-6

ER -