Influence of hydrodynamics on the dynamics of a homopolymer
Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
Revised: 15 September 1998
Accepted: 25 September 1998
Published online: 15 February 1999
We present an analytical approach of the dynamics of a polymer when it is quenched from a θ solvent into a good or bad solvent. The dynamics is studied by means of a Langevin equation, first in the absence of hydrodynamic effect, then taking into account the hydrodynamic interactions with the solvent. The variation of the radius of gyration is studied as a function of time. In both cases, for the first stage of collapse or swelling, the evolution is described by a power law with a characteristic time proportional to (N), where N is the number of monomers, without (with) hydrodynamic interactions. At larger times, scaling laws are derived for the diffusive relaxation time.
PACS: 75.10.Nr – Spin-glass and other random models / 64.70.Pf – Glass transitions / 71.55.Jv – Disordered structures; amorphous and glassy solids
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999