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Cells undergo dramatic morphological changes during embryogenesis, yet how these changes affect the formation of ordered tissues remains elusive. Here, we show that a phase transition leading to the formation of a nematic liquid crystal…

We compute the $\Gamma$-limit of energy functionals describing mechanical systems composed of a thin nematic liquid crystal elastomer sustaining a homogeneous and isotropic elastic membrane. We work in the regime of infinitesimal…

Analysis of PDEs · Mathematics 2017-12-08 Pierluigi Cesana , Andrés A. León Baldelli

The mechanics of a flexible membrane decorated with a nematic liquid-crystal texture is considered in a variational framework. The variations on the splay, twist and the bend energy of the nematics are obtained from the local deformations…

Soft Condensed Matter · Physics 2020-06-24 J. A. Santiago , F. Monroy

Liquid crystals have attracted enormous interest because of the variety of their phases and richness of their application. The interplay of general physical symmetries and specific molecular features generates a myriad of different…

Statistical Mechanics · Physics 2011-09-06 Marco G. Mazza , Martin Schoen

We study the phase ordering colloids suspended in a thermotropic nematic liquid crystal below the clearing point Tni and the resulting aggregated structure. Small (150nm) PMMA particles are dispersed in a classical liquid crystal matrix,…

Soft Condensed Matter · Physics 2007-05-23 V. J. Anderson , E. M. Terentjev , S. P. Meeker , J. Crain , W. C. K. Poon

A Self Consistent Field Theory description of equilibrium, but non uniform, configurations adopted by semi flexible liquid crystal molecules is presented. Two cases are considered, isotropic-nematic phase boundaries, and topological defects…

Soft Condensed Matter · Physics 2025-03-03 Longyu Qing , Jorge Viñals

Nematic elastomers are programmable soft materials that display large, reversible and predictable deformation under an external stimulus such as a change in temperature or light. While much of the work in the field has focused on actuation…

Soft Condensed Matter · Physics 2021-04-07 Victoria Lee , Kaushik Bhattacharya

When liquid-crystalline elastomers pass through the isotropic-nematic transition, the orientational order parameter and the elastic strain vary rapidly but smoothly, without the expected first-order discontinuity. This broadening of the…

Soft Condensed Matter · Physics 2007-05-23 Jonathan V. Selinger , B. R. Ratna

We use numerical simulations to investigate the hydrodynamic behavior of the interface between nematic (N) and isotropic (I) phases of a confined active liquid crystal. At low activities, a stable interface with constant shape and velocity…

Soft Condensed Matter · Physics 2021-02-25 Rodrigo C. V. Coelho , Nuno A. M. Araújo , Margarida M. Telo da Gama

While quasi-two-dimensional (layered) materials can be highly anisotropic, their asymptotic long-distance behavior generally reflects the properties of a fully three dimensional phase of matter. However, certain topologically ordered…

Strongly Correlated Electrons · Physics 2020-09-30 Trithep Devakul , S. L. Sondhi , S. A. Kivelson , Erez Berg

Electronic nematicity is widely observed in quantum materials with varying degrees of electronic correlation, manifesting through charge, spin, orbital, or superconducting degrees of freedom. A phenomenological model capable of describing…

Strongly Correlated Electrons · Physics 2026-04-22 W. Joe Meese , Rafael M. Fernandes

We test the performance of a recently proposed fundamental measure density functional of aligned hard cylinders by calculating the phase diagram of a monodisperse fluid of these particles. We consider all possible liquid crystalline…

Soft Condensed Matter · Physics 2009-11-13 Jose A. Capitan , Yuri Martinez-Raton , Jose A. Cuesta

Recent experiments on vesicles formed from block copolymers with liquid-crystalline side-chains reveal a rich variety of vesicle morphologies. The additional internal order ("structure") developed by these self-assembled block copolymer…

Soft Condensed Matter · Physics 2012-05-21 Xiangjun Xing , Homin Shin , Mark J. Bowick , Zhenwei Yao , Lin Jia , Min-Hui Li

We develop the elastic theory for inversion-asymmetric tethered membranes and use it to identify and study their possible phases. Asymmetry in a tethered membrane causes spontaneous curvature, which in general depends upon the local…

Statistical Mechanics · Physics 2019-06-05 Tirthankar Banerjee , Niladri Sarkar , John Toner , Abhik Basu

We consider the hydrodynamic theory of an active fluid of self-propelled particles with nematic aligning interactions. This class of materials has polar symmetry at the microscopic level, but forms macrostates of nematic symmetry. We…

Soft Condensed Matter · Physics 2012-04-17 Aparna Baskaran , M. Cristina Marchetti

This review introduces the elasticity theory of two-dimensional crystals and nematic liquid crystals on curved surfaces, the energetics of topological defects (disclinations, dislocations and pleats) in these ordered phases, and the…

Soft Condensed Matter · Physics 2014-01-21 Vinzenz Koning , Vincenzo Vitelli

We introduce a novel model, comprising self-avoiding surfaces and incorporating edges and tubules, that is designed to characterize the structural morphologies and transitions observed within the endoplasmic reticulum (ER). By employing…

Soft Condensed Matter · Physics 2024-04-09 Jaya Kumar Alageshan , Yashodhan Hatwalne , Rahul Pandit

The possible symmetries of the biaxial nematic phase are examined against the implications of the presently available experimental results. Contrary to the widespread notion that biaxial nematics have orthorhombic symmetry, our study shows…

Soft Condensed Matter · Physics 2010-04-15 Panagiota K. Karahaliou , Alexandros G. Vanakaras , Demetri J. Photinos

We investigate the dynamics of active nematic liquid crystals on deformable membranes, focusing on the interplay between active stress and anisotropic curvature coupling. Using a minimal model, we simulate the coupled evolution of the…

Soft Condensed Matter · Physics 2026-05-19 Yuki Hirota , Nariya Uchida

A nematic liquid-crystal gel is a macroscopically homogeneous elastic medium with the rotational symmetry of a nematic liquid crystal. In this paper, we develop a general approach to the study of these gels that incorporates all underlying…

Soft Condensed Matter · Physics 2009-11-07 T. C. Lubensky , Ranjan Mukhopadhyay , Leo Radzihovsky , Xiangjun Xing