The response function of a sphere in a viscoelastic two-fluid medium
arXiv:cond-mat/0010027 · doi:10.1103/PhysRevE.63.041510
Abstract
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.
12 pages, 2 figures
References in corpus (3)
Cited by in corpus (33)
- Modeling semiflexible polymer networks
- Microrheology, stress fluctuations and active behavior of living cells
- Low-Reynolds number swimming in gels
- Instabilities and Oscillations in Isotropic Active Gels
- Emergence of Multiscale Dynamics in Colloidal Gels
- Membrane undulations in a structured fluid: Universal dynamics at intermediate length and time scales
- Response of a Complex Fluid at Intermediate Distances
- Short-time inertial response of viscoelastic fluids measured with Brownian motion and with active probes
- Lift force in odd compressible fluids
- Role of slip between a probe particle and a gel in microrheology
- Response of a polymer network to the motion of a rigid sphere
- Memory-based mediated interactions between rigid particulate inclusions in viscoelastic environments
- Active Microrheology of Networks Composed of Semiflexible Polymers I. Computer Simulation of Magnetic Tweezers
- Flow of a viscous nematic fluid around a sphere
- Anomalous diffusion in viscoelastic media with active force dipoles
- Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
- Dynamics in Steady State In Vitro Acto-Myosin Networks
- Trading particle shape with fluid symmetry: on the mobility matrix in 3D chiral fluids
- Localization and diffusion of tracer particles in viscoelastic media with active force dipoles
- Mechanical signaling via nonlinear wavefront propagation in a mechanically-excitable medium
- Active Microrheology of Networks Composed of Semiflexible Polymers. II. Theory and comparison with simulations
- Dynamics and friction of a large colloidal particle in a bath of hard spheres: Langevin dynamics simulations and hydrodynamic description
- Slip-induced odd viscous flow past a cylinder
- Molecular modelling of odd viscoelastic fluids
- Surface response of a polymer network: Semi-infinite network
- Structured viscoelastic substrates as linear foundations
- Expanding the reach of diffusing wave spectroscopy and tracer bead microrheology
- Pattern stabilisation in swarms of programmable active matter: a probe for turbulence at large length scales
- Odd elasticity in disordered chiral active materials
- Dynamics of a simple model microswimmer in an anisotropic fluid: implications for alignment behavior and active transport in a nematic liquid crystal
- Nonlinear master relation in microscopic mechanical response of semiflexible biopolymer networks
- Microrheology of colloidal suspensions via Dynamic Monte Carlo simulations
- General solutions of poroelastic equations with viscous stress