Nonequilibrium statistics of flexible macromolecules in dilute solutions. I. Macromolecular configuration
- 1 March 1987
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 86 (5), 3032-3038
- https://doi.org/10.1063/1.452006
Abstract
For a macromolecule modeled as a Rouse chain in dilute solution, we give the exact nonequilibrium expression for the joint probability density for the configuration of any number of links of the chain, expressed in terms of the connector vector coordinates. From this expression we get the probability density for a single link and the joint probability density for two links. For these two functions we give the associated diffusion equations. We also give the length-independent probability density for the orientation of a single link. Finally we illustrate the application of these results in steady shear flow.Keywords
This publication has 21 references indexed in Scilit:
- Polymer chain segment orientation during stress relaxationJournal of Polymer Science Part B: Polymer Physics, 1986
- Brownian dynamics simulation of macromolecules in steady shear flowThe Journal of Chemical Physics, 1983
- Turbulence induced change in the conformation of polymer moleculesThe Journal of Chemical Physics, 1983
- Analysis of the Rouse model in extensional flow. I. A general solution of the distribution function in an arbitrary flow fieldThe Journal of Chemical Physics, 1983
- Dynamics of concentrated polymer systems. Part 1.—Brownian motion in the equilibrium stateJournal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics, 1978
- Kinetic Theory and Rheology of Macromolecular SolutionsAdvances in Chemical Physics, 1976
- Energy Storage and Dissipation by Flexible MacromoleculesRubber Chemistry and Technology, 1967
- Excluded Volume in Polymer ChainsThe Journal of Chemical Physics, 1955
- On the Theory of the Brownian Motion IIReviews of Modern Physics, 1945
- Beziehungen zwischen elastischen Konstanten und Dehnungsdoppelbrechung hochelastischer StoffeColloid and Polymer Science, 1942