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Alternative theory of hydrodynamic interactions in polymer solutions
Author(s) -
Borodin Igor P.,
Khazanovich Teodor N.
Publication year - 1999
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/masy.19991460113
Subject(s) - center of mass (relativistic) , polymer , flow (mathematics) , tensor (intrinsic definition) , macromolecule , mechanics , statistical physics , kernel (algebra) , boundary value problem , boundary (topology) , kinetic energy , diffusion , physics , classical mechanics , materials science , thermodynamics , mathematical analysis , chemistry , mathematics , geometry , biochemistry , nuclear magnetic resonance , combinatorics , energy–momentum relation
The model is presented for coarse grained dynamics of macromolecules in dilute solutions. The coarse graining is achieved by dividing the polymer chain into subchains, consisting of many monomers, and spatial averaging over lengths that are large compared to the mean‐square end‐to‐end distance of subchains and small compared to macromolecule size. Kinetic equations of the model are derived from first principles of statistical mechanics under the assumption that subchain center of mass positions and solvent flow velocity field are the only slow variables of the system. In this approach hydrodynamic interactions result from the intercomponent friction forces between polymer and solvent instead of boundary conditions on the bead surfaces as in traditional theories. The integrodifferential diffusion equation is obtained for steady flows with the kernel involving the Oseen tensor multiplied by equilibrium distribution in the space of the subchain center of mass positions.