The shapes of ideal five junction comb polymers in two and three dimensions

Marvin Bishop, John Stone, Christian von Ferber, Robin de Regt

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This work investigates a variety of properties of eleven and fourteen branch five junction comb polymers in the ideal regime in two and three dimensions. A method based on the Kirchhoff matrix eigenvalue spectrum for arbitrary tree-branched polymers is used to compute shape properties and a scheme originally proposed by Benhamous (2004), is used to produce an exact equation for the form factor of the fourteen branch comb polymers. A Monte Carlo growth algorithm is also employed to compute the same properties. It is found that the values obtained by all of these methods are in fine agreement with each other and available theory.

Original languageEnglish
Pages (from-to)57-65
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume484
Early online date9 May 2017
DOIs
Publication statusPublished - 15 Oct 2017

Fingerprint

Three-dimension
Two Dimensions
Polymers
polymers
Branch
Form Factors
form factors
eigenvalues
Eigenvalue
Arbitrary

Keywords

  • Analytical approach
  • Branched polymers
  • Simulation
  • Soft matter

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

The shapes of ideal five junction comb polymers in two and three dimensions. / Bishop, Marvin; Stone, John; von Ferber, Christian; de Regt, Robin.

In: Physica A: Statistical Mechanics and its Applications, Vol. 484, 15.10.2017, p. 57-65.

Research output: Contribution to journalArticle

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