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Active particles driven by competing spatially dependent self-propulsion and external force
by Lorenzo Caprini, Umberto Marini Bettolo Marconi, René Wittmann , Hartmut Löwen
Submission summary
| Authors (as registered SciPost users): | Lorenzo Caprini |
| Submission information | |
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| Preprint Link: | scipost_202203_00001v3 (pdf) |
| Date accepted: | Aug. 8, 2022 |
| Date submitted: | July 31, 2022, 10:52 p.m. |
| Submitted by: | Lorenzo Caprini |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We investigate how the competing presence of a nonuniform motility landscape and an external confining field affects the properties of active particles. We employ the active Ornstein-Uhlenbeck particle (AOUP) model with a periodic swim-velocity profile to derive analytical approximations for the steady-state probability distribution of position and velocity, encompassing both the Unified Colored Noise Approximation and the theory of potential-free active particles with spatially dependent swim velocity recently developed. We test the theory by confining an active particle in a harmonic trap, which gives rise to interesting properties, such as a transition from a unimodal to a bimodal (and, eventually multimodal) spatial density, induced by decreasing the spatial period of the self propulsion. Correspondingly, the velocity distribution shows pronounced deviations from the Gaussian shape, even displaying a bimodal profile in the high-motility regions. We thus show that the interplay of two relatively simple physical fields can be employed to generate complex emerging behavior.
Author comments upon resubmission
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
