Two-point microrheology and the electrostatic analogy
Abstract
The recent experiments of Crocker et al. [Phys. Rev. Lett. 85, 888 (2000)] suggest that microrheological measurements obtained from the correlated fluctuations of widely-separated probe particles determine the rheological properties of soft, complex materials more accurately than do the more traditional particle autocorrelations. This presents an interesting problem in viscoelastic dynamics. We develop an important, simplifing analogy between the present viscoelastic problem and classical electrostatics. Using this analogy and direct calculation we analyze both the one- and two-particle correlations in a viscoelastic medium in order to explain this observation.
- Publication:
-
Physical Review E
- Pub Date:
- December 2001
- DOI:
- 10.1103/PhysRevE.65.011501
- arXiv:
- arXiv:cond-mat/0104132
- Bibcode:
- 2001PhRvE..65a1501L
- Keywords:
-
- 83.60.Bc;
- 47.50.+d;
- 83.50.Ha;
- Linear viscoelasticity;
- Flow in channels;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- doi:10.1103/PhysRevE.65.011501