Microrheological approach for the viscoelastic response of gels
Journal of Rheology 64 (2020) 969 In this paper I present a simple and self-consistent framework based on microrheology that allows one to obtain the mechanical response of viscoelastic fluids and gels from the motion of probe particles immersed on it. By considering a non-markovian Langevin equatio...
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| Format: | Journal Article |
| Language: | English |
| Published: |
11-06-2020
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | Journal of Rheology 64 (2020) 969 In this paper I present a simple and self-consistent framework based on
microrheology that allows one to obtain the mechanical response of viscoelastic
fluids and gels from the motion of probe particles immersed on it. By
considering a non-markovian Langevin equation, I obtain general expressions for
the mean-squared displacement and the time-dependent diffusion coefficient that
are directly related to the memory kernels and the response function, and which
allow one to obtain estimates for the complex shear modulus and the complex
viscosity of the material. The usefulness of such approach is demonstrated by
applying it to describe experimental data on chemically cross-linked
polyacrylamide through its sol-gel transition. |
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| DOI: | 10.48550/arxiv.2004.09349 |