TY - UNPB
T1 - A multi-faceted study of nematic order reconstruction in microfluidic channels
AU - Dalby, James
AU - Han, Yucen
AU - Majumdar, Apala
AU - Mrad, Lidia
PY - 2023/5/24
Y1 - 2023/5/24
N2 - We study order reconstruction (OR) solutions in the Beris-Edwards framework for nematodynamics, for both passive and active nematic flows in a microfluidic channel. OR solutions exhibit polydomains and domain walls, and as such, are of physical interest. We show that OR solutions exist for passive flows with constant velocity and pressure, but only for specific boundary conditions. We prove the existence of unique, symmetric and non-singular nematic profiles, for boundary conditions that do not allow for OR solutions. We compute asymptotic expansions for OR-type solutions for passive flows with non-constant velocity and pressure, and active flows, which shed light into the internal structure of domain walls. The asymptotics are complemented by extensive numerical studies that demonstrate the universality of OR-type structures in static and dynamic scenarios.
AB - We study order reconstruction (OR) solutions in the Beris-Edwards framework for nematodynamics, for both passive and active nematic flows in a microfluidic channel. OR solutions exhibit polydomains and domain walls, and as such, are of physical interest. We show that OR solutions exist for passive flows with constant velocity and pressure, but only for specific boundary conditions. We prove the existence of unique, symmetric and non-singular nematic profiles, for boundary conditions that do not allow for OR solutions. We compute asymptotic expansions for OR-type solutions for passive flows with non-constant velocity and pressure, and active flows, which shed light into the internal structure of domain walls. The asymptotics are complemented by extensive numerical studies that demonstrate the universality of OR-type structures in static and dynamic scenarios.
KW - nematodynamics
KW - active liquid crytals
KW - microfluidics
U2 - 10.48550/arXiv.2204.07808
DO - 10.48550/arXiv.2204.07808
M3 - Working paper
BT - A multi-faceted study of nematic order reconstruction in microfluidic channels
CY - Ithaca, NY
ER -