Influence of hydrodynamics on the dynamics of a homopolymer |
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Authors: | E Pitard |
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Institution: | (1) Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France, FR |
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Abstract: | We present an analytical approach of the dynamics of a polymer when it is quenched from a 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
4/3
(N), where N is the number of monomers, without (with) hydrodynamic interactions. At larger times, scaling laws are derived for the diffusive
relaxation time.
Received: 10 March 1998 / Received in final form: 15 September 1998 / Accepted: 25 September 1998 |
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Keywords: | PACS 75 10 Nr Spin-glass and other random models - 64 70 Pf Glass transitions - 71 55 Jv Disordered structures amorphous and glassy solids |
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