Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session N00: Poster Session II (11am-2pm PST)
11:00 AM,
Wednesday, March 8, 2023
Room: Exhibit Hall (Forum Ballroom)
Sponsoring
Unit:
APS
Abstract: N00.00188 : Active Ornstein-Uhlenbeck particles: a versatile model for self-propelled motion*
Presenter:
René Wittmann
(Heinrich-Heine-Universität Düsseldorf)
Authors:
René Wittmann
(Heinrich-Heine-Universität Düsseldorf)
Lorenzo Caprini
(Heinrich-Heine-Universität Düsseldorf)
G. H. Philipp Nguyen
(Heinrich-Heine-Universität Düsseldorf)
Alexander R Sprenger
(Heinrich-Heine-Universität Düsseldorf)
Umberto Marini Bettolo Marconi
(Università di Camerino)
Hartmut Löwen
(Heinrich-Heine-Universität Düsseldorf)
Here, we introduce a parental active model (PAM) based on a general stochastic process with fluctuating self-propulsion velocity, within which both ABPs and AOUPs emerge as limiting cases, i.e., they are rather sisters than cousins. We then demonstrate that a position-dependent swim-velocity field can be consistently introduced for any self-propulsion mechanism. As an application, we discuss the effects of varying self propulsion in external confinement and predict the stationary properties using effective interactions.
Both ABPs and AOUPs have been originally developed to model the overdamped dynamics of microscopic active particles. However, the recent interest in macroscopic active systems generates the need to develop manageable theoretical descriptions of inertial effects. For AOUPs with translational inertia we provide exact analytical solutions for dynamical correlation functions considering an active dimer, a time-dependent mass and various external forces. Finally, we discuss effects of rotational inertia.
*Funded by the Deutsche Forschungsgemeinschaft (DFG) through the SPP 2265, under grant numbers WI 5527/1-1 and LO 418/25-1.
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