Dynamic analysis of chevron structures in liquid crystal cells

Mrad, Lidia; Phillips, Don T.

doi:10.1080/15421406.2017.1289431

Cited by 2 publications

(2 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Generalized OR solutions or OR-type solutions/instabilities (defined in section 4) are also observed in smectics and cholesterics. For example, when a cell filled with a smectic-A liquid crystal is cooled to the smectic-C phase, a chevron texture is observed and has been the impetus of considerable experimental and theoretical interest [33,32].…”

mentioning

confidence: 99%

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

Dalby,

Han,

Majumdar

et al. 2023

SIAM J. Appl. Math.

Self Cite

View full text Add to dashboard Cite

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 on the internal structure of domain walls. The asymptotics are complemented by numerical studies that demonstrate the universality of OR-type structures in static and dynamic scenarios.

show abstract

mentioning

confidence: 99%

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

Dalby,

Han,

Majumdar

et al. 2023

SIAM J. Appl. Math.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Generalized OR solutions or OR-type solutions/instabilities (defined in section 4) are also observed in smectics and cholesterics. For example, when a cell filled with a smectic-A liquid crystal is cooled to the smectic-C phase, a similar chevron texture is observed and has been the impetus of considerable experimental and theoretical interest [30,25,29].…”

mentioning

confidence: 99%

A Multi-Faceted Study of Nematic Order Reconstruction in Microfluidic Channels

Dalby¹,

Han²,

Majumdar³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

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 ORtype 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.

show abstract

Dynamic analysis of chevron structures in liquid crystal cells

Cited by 2 publications

References 23 publications

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

A Multi-Faceted Study of Nematic Order Reconstruction in Microfluidic Channels

Contact Info

Product

Resources

About