Baza Publikacji Pracowników Politechniki Lubelskiej

Status:
Autorzy:	Berlyand Leonid, Jabin Pierre Emmanuel, Potomkin Mykhailo, Ratajczyk Elżbieta
Dyscypliny:
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Rok wydania:	2020
Wersja dokumentu:	Drukowana \| Elektroniczna
Język:	angielski
Numer czasopisma:	1
Wolumen/Tom:	18
Strony:	1 - 20
Impact Factor:	1,93
Web of Science® Times Cited:	3
Scopus® Cytowania:	3
Bazy:	Web of Science \| Scopus
Efekt badań statutowych	NIE
Materiał konferencyjny:	NIE
Publikacja OA:	NIE
Abstrakty:	angielski
	The study of active matter consisting of many self-propelled (active) swimmers in an imposed flow is important for many applications. Self-propelled swimmers may represent both living and artificial ones such as bacteria and chemically driven bimetallic nanoparticles. In this work we focus on a kinetic description of active matter represented by self-propelled rods swimming in a viscous fluid confined by a wall. It is well known that walls may significantly affect the trajectories of active rods in contrast to unbounded or periodic containers. Among such effects are accumulation at walls and upstream motion (also known as negative rheotaxis). Our first main result is the rigorous derivation of boundary conditions for the active rods' probability distribution function in the limit of vanishing inertia. Finding such a limit is important because (i) in many examples of active matter inertia is negligible, since swimming occurs in the low Reynolds number regime, and (ii) this limit allows us to reduce the dimension---and so computational complexity---of the kinetic description. For the resulting model, we derive the system in the limit of vanishing translational diffusion which is also typically negligible for active particles. This system allows for tracking separately active particles accumulated at walls and active particles swimming in the bulk of the fluid.

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A Kinetic Approach to Active Rods Dynamics in Confined Domains

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