scholarly journals Correction: Geometric frustration and compatibility conditions for two-dimensional director fields

Soft Matter ◽  
2018 ◽  
Vol 14 (6) ◽  
pp. 1068-1068
Author(s):  
Idan Niv ◽  
Efi Efrati
Keyword(s):  
Soft Matter ◽  
Two Dimensional ◽  
Compatibility Conditions ◽  
Geometric Frustration

Correction for ‘Geometric frustration and compatibility conditions for two-dimensional director fields’ by Idan Niv et al., Soft Matter, 2018, DOI: 10.1039/c7sm01672g.

scholarly journals Geometric frustration and compatibility conditions for two-dimensional director fields

Soft Matter ◽  
2018 ◽  
Vol 14 (3) ◽  
pp. 424-431 ◽  
Author(s):  
Idan Niv ◽  
Efi Efrati
Keyword(s):  
Orientational Order ◽  
Two Dimensional ◽  
Compatibility Conditions ◽  
Geometric Frustration ◽  
Curved Objects

Packing curved objects in the plane cannot be performed uniformly and inevitably leads to frustration. In this work we establish what types of orientational order are possible in a general two-dimensional setting.

scholarly journals General up to next-nearest-neighbour elasticity of triangular lattices in three dimensions

2006 ◽  
Vol 462 (2073) ◽  
pp. 2695-2713 ◽  
Author(s):  
Cyril Dubus ◽  
Ken Sekimoto ◽  
Jean-Baptiste Fournier
Keyword(s):  
Blood Cell ◽  
Red Blood Cell ◽  
Triangular Lattice ◽  
Soft Matter ◽  
Rotational Symmetry ◽  
Three Dimensions ◽  
Nearest Neighbour ◽  
Two Dimensional ◽  
Biological Physics ◽  
Crystalline System

We establish the most general form of the discrete elasticity of a two-dimensional triangular lattice embedded in three dimensions, taking into account up to next-nearest-neighbour interactions. Besides crystalline system, this is relevant to biological physics (e.g. red blood cell cytoskeleton) and soft matter (e.g. percolating gels, etc.). In order to correctly impose the rotational invariance of the bulk terms, it turns out to be necessary to take into account explicitly the elasticity associated with the vertices located at the edges of the lattice. We find that some terms that were suspected in the literature to violate rotational symmetry are, in fact, admissible.

Thin-Film-Based Nanoarchitectures for Soft Matter: Controlled Assemblies into Two-Dimensional Worlds

Small ◽  
2011 ◽  
Vol 7 (10) ◽  
pp. 1288-1308 ◽  
Author(s):  
Keita Sakakibara ◽  
Jonathan P. Hill ◽  
Katsuhiko Ariga
Keyword(s):  
Thin Film ◽  
Soft Matter ◽  
Two Dimensional

4. Gelification and soapiness

2020 ◽  
pp. 63-90
Author(s):  
Tom McLeish
Keyword(s):  
Brownian Motion ◽  
Self Assembly ◽  
Soft Matter ◽  
Intermolecular Forces ◽  
Two Dimensional ◽  
Important Distinction ◽  
One Dimensional ◽  
The Third ◽  
Self Assembled ◽  
Weak Intermolecular Forces

‘Gelification and soapiness’ looks at the third class of soft matter: ‘self-assembly’. Like the colloids of inks and clays, and the polymers of plastics and rubbers, ‘self-assembled’ soft matter also emerges as a surprising consequence of Brownian motion combined with weak intermolecular forces. Like them, it also leads to explanations of a very rich world of materials and phenomena, such as gels, foams, soaps, and ultimately to many of the structures of biological life. There is an important distinction that needs to be made between one-dimensional and two-dimensional self-assembly.

4. States of matter

2014 ◽  
pp. 51-69
Author(s):  
Peter Atkins
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Liquid Crystals ◽  
Magnetic Resonance ◽  
Equation Of State ◽  
Soft Matter ◽  
Van Der Waals ◽  
Two Dimensional ◽  
X Ray Diffraction ◽  
Van Der Waals Equation ◽  
Intermediate States

‘States of matter’ describes the three traditional states — gas, liquid, and solid — and the models used to predict and understand their behaviour. The van der Waals equation of state captures many of the properties of real gases. The classical way of studying the motion of molecules in liquids is to measure its viscosity. Techniques include neutron scattering and nuclear magnetic resonance. X-ray diffraction is used to determine the structures of solids. Intermediate states of matter — where liquid meets gas and liquid meets solid — are also considered. Examples include supercritical fluids, soft matter such as liquid crystals, and graphene, a remarkable and essentially two-dimensional material.

scholarly journals Predictions of the shear modulus of cheese, a soft matter approach

2019 ◽  
Vol 29 (1) ◽  
pp. 58-68 ◽  
Author(s):  
Graeme Gillies
Keyword(s):  
Shear Modulus ◽  
Soft Matter ◽  
Volume Fraction ◽  
Quantitative Model ◽  
Nano Particles ◽  
Core Shell ◽  
Two Dimensional ◽  
Shear Moduli ◽  
Numerical Predictions ◽  
The Many

Abstract The rheological and structural properties of cheese govern many physical processes associated with cheese such as slumping, slicing and melting. To date there is no quantitative model that predicts shear modulus, viscosity or any other rheological property across the entire range of cheeses; only empirical fits that interpolate existing data. A lack of a comprehensive model is in part due to the many variables that can affect rheology such as salt, pH, calcium levels, protein to moisture ratio, age and temperature. By modelling the casein matrix as a series core-shell nano particles assembled from calcium and protein these variables can be reduced onto a simpler two-dimensional format consisting of attraction and equivalent hard sphere volume fraction. Approximating the interaction between core-shell nano particles with a Mie potential enables numerical predictions of shear moduli. More qualitatively, this two-dimensional picture can be applied quite broadly and captures the viscoelastic behaviour of soft and hard cheeses as well as their melting phenomena.

scholarly journals Correction: Particle-mesh two-dimensional pattern reverse Monte Carlo analysis on filled-gels during uniaxial expansion

Soft Matter ◽  
2019 ◽  
Vol 15 (43) ◽  
pp. 8933-8933
Author(s):  
Katsumi Hagita
Keyword(s):  
Monte Carlo ◽  
Soft Matter ◽  
Monte Carlo Analysis ◽  
Reverse Monte Carlo ◽  
Two Dimensional

Correction for ‘Particle-mesh two-dimensional pattern reverse Monte Carlo analysis on filled-gels during uniaxial expansion’ by Katsumi Hagita, Soft Matter, 2019, 15, 7237–7249.

scholarly journals Rheological signatures in limit cycle behaviour of dilute, active, polar liquid crystalline polymers in steady shear

2014 ◽  
Vol 372 (2029) ◽  
pp. 20130362 ◽  
Author(s):  
M. Gregory Forest ◽  
Panon Phuworawong ◽  
Qi Wang ◽  
Ruhai Zhou
Keyword(s):  
Limit Cycles ◽  
Soft Matter ◽  
Liquid Crystalline ◽  
Numerical Study ◽  
Shear Thickening ◽  
Liquid Crystalline Polymers ◽  
Two Dimensional ◽  
Crystalline Polymers ◽  
Link Type ◽  
Linearized Stability

We consider the dilute regime of active suspensions of liquid crystalline polymers (LCPs), addressing issues motivated by our kinetic model and simulations in Forest et al. (Forest et al. 2013 Soft Matter 9 , 5207–5222 ( doi:10.1039/c3sm27736d )). In particular, we report unsteady two-dimensional heterogeneous flow-orientation attractors for pusher nanorod swimmers at dilute concentrations where passive LCP equilibria are isotropic. These numerical limit cycles are analogous to longwave (homogeneous) tumbling and kayaking limit cycles and two-dimensional heterogeneous unsteady attractors of passive LCPs in weak imposed shear, yet these states arise exclusively at semi-dilute concentrations where stable equilibria are nematic. The results in Forest et al. mentioned above compel two studies in the dilute regime that complement recent work of Saintillan & Shelley (Saintillan & Shelley 2013 C. R. Physique 14 , 497–517 ( doi:10.1016/j.crhy.2013.04.001 )): linearized stability analysis of the isotropic state for nanorod pushers and pullers; and an analytical–numerical study of weakly and strongly sheared active polar nanorod suspensions to capture how particle-scale activation affects shear rheology. We find that weakly sheared dilute puller versus pusher suspensions exhibit steady versus unsteady responses, shear thickening versus thinning and positive versus negative first normal stress differences. These results further establish how sheared dilute nanorod pusher suspensions exhibit many of the characteristic features of sheared semi-dilute passive nanorod suspensions.

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