Dynamics of fractal sol-gel polymeric clusters

A. G. Zilman, R. Granek

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


The dynamics of flexible polymeric fractals in solutions is discussed using a linearization self-consistent approximation. When hydrodynamic interaction is not screened (Zimm model) we find that the mean square displacement [Formula Presented] of a monomer is anomalously increasing with time, [Formula Presented] with a universal exponent [Formula Presented] in [Formula Presented] dimensions, independent of the fractal [Formula Presented] and spectral dimensions. The viscoelastic modulus behaves as [Formula Presented] with [Formula Presented] When hydrodynamics is screened (Rouse model) we find [Formula Presented] and [Formula Presented] We conclude that measurements of [Formula Presented] indicate unambiguously that the Zimm model is applicable and thus should be correlated with [Formula Presented] in rheology measurements.

Original languageEnglish
Pages (from-to)R2725-R2728
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number3
StatePublished - 1 Jan 1998
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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