Journal
CHAOS
Volume 30, Issue 11, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/5.0029585
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Funding
- European Research Council (ERC) [773196]
- European Research Council (ERC) [773196] Funding Source: European Research Council (ERC)
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We study active matter systems where the orientational dynamics of underlying self-propelled particles obey second-order equations. By primarily concentrating on a spatially homogeneous setup for particle distribution, our analysis combines theories of active matter and oscillatory networks. For such systems, we analyze the appearance of solitary states via a homoclinic bifurcation as a mechanism of the frequency clustering. By introducing noise, we establish a stochastic version of solitary states and derive the mean-field limit described by a partial differential equation for a one-particle probability density function, which one might call the continuum Kuramoto model with inertia and noise. By studying this limit, we establish second-order phase transitions between polar order and disorder. The combination of both analytical and numerical approaches in our study demonstrates an excellent qualitative agreement between mean-field and finite-size models. Published under license by AIP Publishing.
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