Polymer Dynamics: Boson Representation and Excluded-Volume Forces
- 1 August 1966
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 45 (3), 785-792
- https://doi.org/10.1063/1.1727682
Abstract
The matrix formalism previously introduced for the discussion of polymer dynamics is rendered more tractable by the introduction of an explicit operator representation satisfying boson commutation rules. Techniques are devised by which singular functions of segment coordinates may be expanded in a fluctuation series (containing ordered products of boson operators) around an equilibrium or nonequilibrium average. The techniques are here applied to equilibrium excluded‐volume expansions, and are shown to give good results. The detailed numerical results are presented in the following paper. The Gaussian potential is adopted for polymer chains in a theta solvent, but methods for its improvement are considered.Keywords
This publication has 8 references indexed in Scilit:
- Perturbation Theory of the Intrinsic Viscosity of Polymer ChainsThe Journal of Chemical Physics, 1966
- Shear Dependence of the Intrinsic Viscosity of Rigid Distributions of Segments with Cylindrical SymmetryThe Journal of Chemical Physics, 1965
- Intrinsic Viscosity of Polymer ChainsThe Journal of Chemical Physics, 1965
- Dynamics of Polymer ChainsThe Journal of Chemical Physics, 1965
- Sedimentation Constants of Broken Chains and Wormlike CoilsThe Journal of Chemical Physics, 1962
- Excluded Volume Effect of Linear Polymer MoleculesThe Journal of Chemical Physics, 1960
- Erratum: Excluded Volume in Polymer ChainsThe Journal of Chemical Physics, 1956
- Excluded Volume in Polymer ChainsThe Journal of Chemical Physics, 1955