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

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

doi:10.1016/j.physa.2017.05.002

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 journal › Article › peer-review

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 language	English
Pages (from-to)	57-65
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	484
Early online date	9 May 2017
DOIs	https://doi.org/10.1016/j.physa.2017.05.002
Publication status	Published - 15 Oct 2017

Keywords

Analytical approach
Branched polymers
Simulation
Soft matter

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2017.05.002

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title = "The shapes of ideal five junction comb polymers in two and three dimensions",

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.",

keywords = "Analytical approach, Branched polymers, Simulation, Soft matter",

author = "Marvin Bishop and John Stone and {von Ferber}, Christian and {de Regt}, Robin",

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T1 - The shapes of ideal five junction comb polymers in two and three dimensions

AU - Bishop, Marvin

AU - Stone, John

AU - von Ferber, Christian

AU - de Regt, Robin

PY - 2017/10/15

Y1 - 2017/10/15

N2 - 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.

AB - 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.

KW - Analytical approach

KW - Branched polymers

KW - Simulation

KW - Soft matter

UR - http://www.scopus.com/inward/record.url?scp=85019254221&partnerID=8YFLogxK

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SN - 0378-4371

VL - 484

SP - 57

EP - 65

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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