Eur. Phys. J. B 9, 669-677 (1999)
https://doi.org/10.1007/s100510050811

Hydrodynamic interactions in self similar structures, such as polymers

¹ Laboratoire de Physique et Mécanique des Milieux Hétérogènes, École Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75231 Paris Cedex 05, France
² Laboratoire de Physico-Chimie Macromoléculaire, Université du Maine, 72017 Le Mans, France

Corresponding author: ^a flekkoy@fys.uio.no

Received: 26 August 1998
Revised: 7 December 1998
Published online: 15 June 1999

Abstract

We study the hydrodynamic properties of polymers and more generally self-similar structures using a new recursion model. The hydrodynamic interaction between monomers is modeled by the standard Green's function of Stokes flow in which an ultrametric distance is substituted for the usual Euclidean distance. This leads to a model where the long-range hydrodynamic interactions and the long-range correlations of the polymer conformation can both be accounted for and yet allow for analytical solutions. We explore the asymptotic as well as the finite size corrections to the scaling behavior with this model. In order to compare the results of the present scheme with more conventional techniques a generalized version of the existing mean field results by Kirkwood and Riseman for the hydrodynamic drag is introduced. 36.20.-r Macromolecules and polymer molecules