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Point-like motile topological defects control the universal dynamics of diverse two-dimensional active nematics ranging from shaken granular rods to cellular monolayers. A comparable understanding in higher dimensions has yet to emerge. We…

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Enzo Orlandini , J. M. Yeomans

Specific features of two-dimensional nematodynamics give rise to shortfalls of the tensor representation of the nematic order parameter commonly used in computations, especially in theory of active matter. The alternative representation in…

Soft Condensed Matter · Physics 2022-09-21 L. M. Pismen

Liquid crystals establish a nearly unique combination of thermodynamic, hydrodynamic, and topological behavior. This poses a challenge to their theoretical understanding and modeling. The arena where these effects come together is the…

Soft Condensed Matter · Physics 2019-07-03 Shubhadeep Mandal , Marco G. Mazza

Liquid shells (e.g. double emulsions, vesicles etc.) are susceptible to interfacial instability and rupturing when driven out of mechanical equilibrium. This poses a significant challenge for the design of liquid shell based micro-machines,…

Soft Condensed Matter · Physics 2019-10-30 Babak Vajdi Hokmabad , Kyle A. Baldwin , Carsten Krüger , Christian Bahr , Corinna C. Maass

We consider the phase behavior of two-dimensional ($2D$)system of particles with an isotropic core-softened potential introduced in our previous publications. As one can expect from the qualitative consideration for the three dimensional…

Soft Condensed Matter · Physics 2015-06-18 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

Active matter embraces systems that self-organize at different length and time scales, often exhibiting turbulent flows. Here, we use a quasi-two-dimensional nematically ordered layer of a protein-based active gel to experimentally…

Soft Condensed Matter · Physics 2017-11-01 Pau Guillamat , Jordi Ignés-Mullol , Francesc Sagués

We numerically investigate how spatial variations of extensile or contractile active stress affect bulk active nematic systems in two and three dimensions. In the absence of defects, activity gradients drive flows which re-orient the…

Soft Condensed Matter · Physics 2022-06-15 Liam J Ruske , Julia M Yeomans

The interaction between two disks immersed in a 2D nematic is investigated (i) analitically using the tensor order parameter formalism for the nematic configuration around isolated disks and (ii) numerically using finite element methods…

Soft Condensed Matter · Physics 2009-11-07 M. Tasinkevych , N. M. Silvestre , P. Patricio , M. M. Telo da Gama

The understanding of self-organization in the twist-bend nematic $(N_\text{TB})$ phase, identified in 2011 in liquid crystal dimers, is at the forefront of soft matter research worldwide. This new nematic phase develops structural chirality…

Soft Condensed Matter · Physics 2020-10-27 Lech Longa , Wojciech Tomczyk

In this paper we revisit the problem of a nematic liquid crystal in contact with patterned substrates. The substrate is modelled as a periodic array of parallel infinite grooves of well-defined cross section sculpted on a chemically…

Polyhedral nematics are examples of exotic orientational phases that possess a complex internal symmetry, representing highly non-trivial ways of rotational symmetry breaking, and are subject to current experimental pursuits in colloidal…

Statistical Mechanics · Physics 2018-01-29 Ke Liu , Jonas Greitemann , Lode Pollet

Recently, Tavarone et al. (J. Chem. Phys. 143, 114505 (2015)) discussed phase behavior of zig-zag and bow-shaped particles composed of three needles. The authors presented very interesting results of extensive Monte Carlo simulations with…

Soft Condensed Matter · Physics 2018-04-18 Paweł Karbowniczek

Activity in nematics drives interfacial flows that lead to preferential alignment that is tangential or planar for extensile systems (pushers) and perpendicular or homeotropic for contractile ones (pullers). This alignment is known as…

Soft Condensed Matter · Physics 2021-09-21 Rodrigo C. V. Coelho , Nuno A. M. Araújo , Margarida M. Telo da Gama

This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic composite membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The model and the method…

Numerical Analysis · Mathematics 2020-07-24 Vitalii Aksenov , Alexey Vasyukov , Igor Petrov

By Monte Carlo simulations of a soft ellipsoid model for liquid crystals, we study whether a layer of grafted liquid-crystalline chain molecules can induce tilt in a nematic fluid. The chains are fairly short (four monomers) and made of the…

Materials Science · Physics 2009-11-07 Harald Lange , Friederike Schmid

The confining effect of a spherical substrate inducing anchoring (normal to the surface) of rod-like liquid crystal molecules contained in a thin film spread over it has been investigated with regard to possible changes in the nature of the…

Soft Condensed Matter · Physics 2015-05-20 D. Jayasri , T. Sairam , V. S. S. Sastry , K. P. N. Murthy

Nematic liquid crystals exhibit both crystal-like and fluid-like features. In particular, the propagation of an acoustic wave shows an unexpected occurrence of some of the solid-like features at the hydrodynamic level, namely, the…

Soft Condensed Matter · Physics 2017-01-04 Stefano S. Turzi

Recent experiments and numerical studies have drawn attention to the dynamics of active nematics. Two-dimensional active nematics flow spontaneously and exhibit spatiotemporal chaotic flows with proliferation of topological defects in the…

Soft Condensed Matter · Physics 2020-07-08 Farzan Vafa , Mark J. Bowick , M. Cristina Marchetti , Boris I. Shraiman

We study theoretically the formation of long-wavelength instability patterns observed at spreading of nematic droplets on liquid substrates. The role of surface-like elastic terms such as saddle-splay and anchoring in nematic films of…

Soft Condensed Matter · Physics 2013-03-04 O. V. Manyuhina , M. Ben Amar