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

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.