Size and scaling in ideal polymer networks. Exact results

  title={Size and scaling in ideal polymer networks. Exact results},
  author={Michael Solf and Thomas A. Vilgis},
  journal={Journal De Physique I},
  • M. Solf, T. Vilgis
  • Published 1 August 1996
  • Mathematics, Physics
  • Journal De Physique I
The scattering function and radius of gyration of an ideal polymer network are calculated depending on the strength of the bonds that form the crosslinks. Our calculations are based on an exact theorem for the characteristic function of a polydisperse phantom network that allows for treating the crosslinks between pairs of randomly selected monomers as quenched variables without resorting to replica methods. From this new approach it is found that the scattering function of an ideal network… 
4 Citations
We present a novel and rigorous approach to the Langevin dynamics of ideal polymer chains subject to internal distance constraints. The permanent constraints are modelled by harmonic potentials in
A Monte Carlo simulation study of the mechanical and conformational properties of networks of helical polymers. Part II. The effect of temperature
Abstract In a recent article (Carri GA, Batman R, Varshney V, Dirama TE. Polymer 2005;46:3809 [17] ) we presented a model for networks of helical polymers. In this article we generalize our results
Entanglement effects in defect-free model polymer networks
The influence of topological constraints on the local dynamics in crosslinked polymer melts and their contribution to the elastic properties of rubber elastic systems are long standing problems in
Swelling behavior of responsive amphiphilic gels
We study the equilibrium swelling degrees of an amphiphilic microgel which consists of two different types of constituents: hydrophobic (H) and hydrophilic (P) monomers. Using Flory-type theories,


The Theory of Matrices
Volume 2: XI. Complex symmetric, skew-symmetric, and orthogonal matrices: 1. Some formulas for complex orthogonal and unitary matrices 2. Polar decomposition of a complex matrix 3. The normal form of