How are mobility and friction related in viscoelastic fluids?

Author:

Caspers Juliana1ORCID,Ditz Nikolas2ORCID,Krishna Kumar Karthika2ORCID,Ginot Félix2ORCID,Bechinger Clemens2ORCID,Fuchs Matthias2ORCID,Krüger Matthias1ORCID

Affiliation:

1. Institute for Theoretical Physics, Georg-August Universität Göttingen, 37077 Göttingen, Germany

2. Fachbereich Physik, Universität Konstanz, 78457 Konstanz, Germany

Abstract

The motion of a colloidal probe in a viscoelastic fluid is described by friction or mobility, depending on whether the probe is moving with a velocity or feeling a force. While the Einstein relation describes an inverse relationship valid for Newtonian solvents, both concepts are generalized to time-dependent memory kernels in viscoelastic fluids. We theoretically and experimentally investigate their relation by considering two observables: the recoil after releasing a probe that was moved through the fluid and the equilibrium mean squared displacement (MSD). Applying concepts of linear response theory, we generalize Einstein’s relation and, thereby, relate recoil and MSD, which both provide access to the mobility kernel. With increasing concentration, however, MSD and recoil show distinct behaviors, rooted in different behaviors of the two kernels. Using two theoretical models, a linear two-bath particle model, and hard spheres treated by mode coupling theory, we find a Volterra relation between the two kernels, explaining differing timescales in friction and mobility kernels under variation of concentration.

Funder

Deutsche Forschungsgemeinschaft

Alexander von Humboldt-Stiftung

Publisher

AIP Publishing

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Memory-induced alignment of colloidal dumbbells;Scientific Reports;2023-10-13

2. Memory-induced Magnus effect;Nature Physics;2023-09-21

3. Memory-multi-fractional Brownian motion with continuous correlations;Physical Review Research;2023-08-23

4. Minimal model of diffusion with time changing Hurst exponent;Journal of Physics A: Mathematical and Theoretical;2023-08-10

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