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PreprintCC BY 4.0arXiv

Mobility Anisotropy Reshapes Self-Propelled Motion

  • Amir Shee
  • P. S. Pal
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Abstract

We obtain exact closed-form moments for a harmonically trapped self-propelled particle with anisotropic translational mobility in two dimensions. At high persistence, the mean and MSD develop a quasi-steady plateau with vanishing fluctuations, after which the MSD relaxes in a second step. The steady excess kurtosis is negative and nonmonotonic in the mechanical-to-rotational timescale ratio, and the particle is pushed beyond the activity-confinement ring. The non-monotonic kurtosis is specific to strong mobility anisotropy - as in wheeled or gliding particles, not bulk hydrodynamic rods - whereas the two-step MSD remains visible whenever transverse relaxation is slow compared with rotational diffusion.

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Cite

BibTeXRIS
BibTeX
@misc{shee2026mobility,
  title = {{Mobility Anisotropy Reshapes Self-Propelled Motion}},
  author = {Amir Shee and P. S. Pal},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.02148},
  eprint = {2605.02148},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.02148},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Mobility Anisotropy Reshapes Self-Propelled Motion
AU  - Amir Shee
AU  - P. S. Pal
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2605.02148
UR  - https://arxiv.org/abs/2605.02148
AB  - We obtain exact closed-form moments for a harmonically trapped self-propelled particle with anisotropic translational mobility in two dimensions. At high persistence, the mean and MSD develop a quasi-steady plateau with vanishing fluctuations, after which the MSD relaxes in a second step. The steady excess kurtosis is negative and nonmonotonic in the mechanical-to-rotational timescale ratio, and the particle is pushed beyond the activity-confinement ring. The non-monotonic kurtosis is specific to strong mobility anisotropy - as in wheeled or gliding particles, not bulk hydrodynamic rods - whereas the two-step MSD remains visible whenever transverse relaxation is slow compared with rotational diffusion.
ER  -