Abstract
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 language | English |
|---|---|
| Pages (from-to) | R2725-R2728 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 58 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Jan 1998 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics