Tensorial generalized Stokes–Einstein relation for anisotropic probe microrheology

منو

" Tensorial generalized Stokes–Einstein relation for anisotropic probe microrheology "
Squires, Todd M.Mason, Thomas G.

Document Type	:	AL
Record Number	:	901665
Doc. No	:	LA9nd9x86w
Title & Author	:	Tensorial generalized Stokes–Einstein relation for anisotropic probe microrheology [Article]\ Squires, Todd M.Mason, Thomas G.
Date	:	2010
Title of Periodical	:	UC Santa Barbara
Abstract	:	In thermal “passive” microrheology, the random Brownian motion of anisotropically shaped probe particles embedded within an isotropic viscoelastic material can be used to extract the material’s frequency-dependent linear viscoelastic modulus. We unite the existing theoretical frameworks for separately treating translational and rotational probe motion in a viscoelastic material by extending the generalized Stokes–Einstein relation (GSER) into a tensorial form that reflects simultaneous equilibrium translational and rotational fluctuations of one or more anisotropic probe particles experiencing viscoelastic drag. The tensorial GSER provides a formal basis for interpreting the complex Brownian motion of anisotropic probes in a viscoelastic material. Based on known hydrodynamic calculations of the Stokes mobility of highly symmetric shapes in a simple viscous liquid, we show simple examples of the tensorial GSER for spheroids and half-stick, half-slip Janus spheres.