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Spontaneous polarization and locomotion of an active particle with surface-mobile enzymes

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We examine a mechanism of locomotion of active particles whose surface is uniformly coated with mobile enzymes. The enzymes catalyze a reaction that drives phoretic flows but their homogeneous distribution forbids locomotion by symmetry. We find that the ability of the enzymes to migrate over the surface combined with self-phoresis can lead to a spontaneous symmetry-breaking instability whereby the homogeneous distribution of enzymes polarizes and the particle propels. The instability is driven by the advection of enzymes by the phoretic flows and occurs above a critical Péclet number. The transition to polarized motile states occurs via a supercritical or subcritical pitchfork bifurcations, the latter of which enables hysteresis and coexistence of uniform and polarized states.

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DE CORATO, Marco, PAGONABARRAGA MORA, Ignacio, ABDELMOHSEN, Loai k. e. a., SÁNCHEZ, Samuel, ARROYO, Marino. Spontaneous polarization and locomotion of an active particle with surface-mobile enzymes. _Physical Review Fluids_. 2020. Vol. 5, núm. 122001(R). [consulta: 27 de gener de 2026]. ISSN: 2469-990X. [Disponible a: https://hdl.handle.net/2445/173714]

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