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One- and Two-Particle Microrheology

by: Alex J Levine, TC Lubensky
Physical Review Letters, Vol. 85, No. 8. (2000), 1774.


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We study the dynamics of rigid spheres embedded in viscoelastic media and address two questions of importance to microrheology. First; we calculate the complete response to an external force of a single bead in a homogeneous elastic network viscously coupled to an incompressible fluid. From this response function we find the frequency range where the standard assumptions of microrheology are valid. Second; we study fluctuations when embedded spheres perturb the media around them and show that mutual fluctuations of two separated spheres provide a more accurate determination of the complex shear modulus than do the fluctuations of a single sphere.


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