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PreprintCC BY-NC-ND 4.0HAL

Bath-modes quantitatively capture the nonlinear microrheology of micellar solutions

Abstract

Active microrheology experiments, in which a probe is driven through a complex fluid, often exhibit nonlinear responses that cannot be captured by generalized Langevin equations. Models that couple the probe to a Gaussian field reproduce such nonlinear effects qualitatively, but their large number of parameters hinders direct comparison with experiments. Here, we restrict these models to a small number of field modes and demonstrate that this reduced description quantitatively reproduces a broad range of active microrheology experiments in a micellar solution using a single set of parameters. We further show that the same framework extends naturally to multi-probe systems, such as colloidal dumbbells.

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BibTeX
@misc{champagnac2026bathmodes,
  title = {{Bath-modes quantitatively capture the nonlinear microrheology of micellar solutions}},
  author = {Pierre Champagnac and Clemens Bechinger and Juliana Caspers and Pierre Illien and Matthias Krüger and Vincent Démery},
  howpublished = {HAL},
  year = {2026},
  month = nov,
  eprint = {2606.25628},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05848412v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Bath-modes quantitatively capture the nonlinear microrheology of micellar solutions
AU  - Pierre Champagnac
AU  - Clemens Bechinger
AU  - Juliana Caspers
AU  - Pierre Illien
AU  - Matthias Krüger
AU  - Vincent Démery
PY  - 2026
DA  - 2026/11/02
PB  - HAL
UR  - https://hal.science/hal-05848412v1
AB  - Active microrheology experiments, in which a probe is driven through a complex fluid, often exhibit nonlinear responses that cannot be captured by generalized Langevin equations. Models that couple the probe to a Gaussian field reproduce such nonlinear effects qualitatively, but their large number of parameters hinders direct comparison with experiments. Here, we restrict these models to a small number of field modes and demonstrate that this reduced description quantitatively reproduces a broad range of active microrheology experiments in a micellar solution using a single set of parameters. We further show that the same framework extends naturally to multi-probe systems, such as colloidal dumbbells.
ER  -