Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2000-10-02
Physics
Condensed Matter
Soft Condensed Matter
12 pages, 2 figures
Scientific paper
10.1103/PhysRevE.63.041510
In order to address basic questions of importance to microrheology, we study the dynamics of a rigid sphere embedded in a model viscoelastic medium consisting of an elastic network permeated by a viscous fluid. We calculate the complete response of a single bead in this medium to an external force and compare the result to the commonly-accepted, generalized Stokes-Einstein relation (GSER). We find that our response function is well approximated by the GSER only within a particular frequency range determined by the material parameters of both the bead and the network. We then discuss the relevance of this result to recent experiments. Finally we discuss the approximations made in our solution of the response function by comparing our results to the exact solution for the response function of a bead in a viscous (Newtonian) fluid.
Levine Alex J.
Lubensky Tom. C.
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