2022
DOI: 10.48550/arxiv.2201.01244
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The Parental Active Model: a unifying stochastic description of self-propulsion

Lorenzo Caprini,
Alexander Ralf Sprenger,
Hartmut Löwen
et al.

Abstract: We propose a new overarching model for self-propelled particles that flexibly generates a full family of "descendants". The general dynamics introduced in this paper, which we denote as "parental" active model (PAM), unifies two special cases commonly used to describe active matter, namely active Brownian particles (ABPs) and active Ornstein-Uhlenbeck particles (AOUPs). We thereby document the existence of a deep and close stochastic relationship between them, resulting in the subtle balance between fluctuatio… Show more

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“…Our model can be extended to higher spatial dimensions [69], to harmonic confinement [86][87][88][89], to external fields [90,91], and to include inertia [5,70,71,[92][93][94][95] where an analytical solution seems to be in reach as well. Moreover different combinations of friction and memory kernel as well as colored noise can be considered for future work [96][97][98][99][100], for instance, Mittag-Leffler noise [101,102] or power-law memory [103,104].…”
Section: Discussionmentioning
confidence: 99%
“…Our model can be extended to higher spatial dimensions [69], to harmonic confinement [86][87][88][89], to external fields [90,91], and to include inertia [5,70,71,[92][93][94][95] where an analytical solution seems to be in reach as well. Moreover different combinations of friction and memory kernel as well as colored noise can be considered for future work [96][97][98][99][100], for instance, Mittag-Leffler noise [101,102] or power-law memory [103,104].…”
Section: Discussionmentioning
confidence: 99%