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Building on the striking similarity between the structure of the spindle during mitosis in living cells and nematic textures in confined liquid crystals, we use a continuum model of two-dimensional nematic liquid crystal droplets, to…

Soft Condensed Matter · Physics 2017-02-24 Marco Leoni , Oksana V. Manyuhina , Mark J. Bowick , M. Cristina Marchetti

We develop a theory of anomalous elasticity in disordered two-dimensional flexible materials with orthorhombic crystal symmetry. Similar to the clean case, we predict existence of infinitely many flat phases with anisotropic bending…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 M. V. Parfenov , V. Yu. Kachorovskii , I. S. Burmistrov

The recently discovered ferroelectric nematic liquid crystals have been reported to exhibit very large dielectric permittivity values. Here, we report a systematic investigation of the dielectric behavior of a prototypical ferroelectric…

Soft Condensed Matter · Physics 2024-02-05 Aitor Erkoreka , Josu Martinez-Perdiguero , Richard J. Mandle , Alenka Mertelj , Nerea Sebastián

We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gravity and surface tension. By studying a suitable…

Analysis of PDEs · Mathematics 2020-05-20 David Padilla-Garza

We establish new scaling properties for the universality class of Model C, which describes relaxational critical dynamics of a nonconserved order parameter coupled to a conserved scalar density. We find an anomalous diffusion phase, which…

Statistical Mechanics · Physics 2013-11-05 David Mesterházy , Jan H. Stockemer , Leticia F. Palhares , Jürgen Berges

This article presents the potentiality of inflatable, functionally-graded auxetic membranes to produce wrinkles and necks. We obtain elastic instabilities at desired locations in axisymmetric membranes and with prescribed patterns in square…

Soft Condensed Matter · Physics 2024-06-21 Sairam Pamulaparthi Venkata , Valentina Balbi , Michel Destrade , Giuseppe Zurlo

Lamellar or smectic phases often have an intricate intralamellar structure that remains scarcely understood from a microscopic viewpoint. In this work, we use molecular dynamics simulations to study the effect of volume exclusion and…

Soft Condensed Matter · Physics 2025-01-22 Jaydeep Mandal , Henricus H. Wensink , Prabal K. Maiti

It is shown that the Goldstone modes associated with a broken continuous symmetry lead to anomalously large fluctuations of the zero field order parameter at any temperature below T_c. In dimensions 2<d<4, the variance of the extensive…

Statistical Mechanics · Physics 2009-11-10 W. Zwerger

Thermal fluctuations strongly modify the large length-scale elastic behavior of crosslinked membranes, giving rise to scale-dependent elastic moduli. While thermal effects in flat membranes are well understood, many natural and artificial…

Soft Condensed Matter · Physics 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

The defining property of electronic nematicity -- the spontaneous breaking of rotational symmetry -- implies an unavoidable coupling between the nematic order parameter and elastic strain fields, known as nemato-elasticity. While both…

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

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

Soft Condensed Matter · Physics 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

Using the density functional formalism we derive expression for the distortion free energy for systems with continuous broken symmetry and use it to derive expression for the elastic constants of smectic phases in which director is tilted…

Soft Condensed Matter · Physics 2009-11-07 Yashwant Singh , Jokhan Ram

We consider a phenomenological continuum model for an active nematic fluid and show a universal, model independent, instability which renders the homogeneous nematic state unstable to order fluctuations. Using numerical and analytic tools…

Soft Condensed Matter · Physics 2014-10-15 Elias Putzig , Aparna Baskaran

Models of smectic-C liquid crystal elastomers predict that it can display soft elasticity, in which the shape of the elastomer changes at no energy cost. The amplitude of the soft mode and the accompanying shears are dependent on the…

Soft Condensed Matter · Physics 2012-01-16 A. W. Brown , J. M. Adams

The self-propulsion of +1/2 topological defects is a hallmark of active nematic fluids, where the defects are advected by the flow field they themselves generate. In this paper we propose a minimal model for defect self-propulsion in a…

Soft Condensed Matter · Physics 2025-08-08 Fridtjof Brauns , Myles O'Leary , Arthur Hernandez , Mark J. Bowick , M. Cristina Marchetti

Biological membranes constantly change their shape in response to external stimuli, and understanding the remodeling and stability of vesicles in heterogeneous environments is therefore of fundamental importance for a range of cellular…

Soft Condensed Matter · Physics 2022-12-20 Håkan Wennerström , Emma Sparr , Joakim Stenhammar

A spontaneous buckling transition in thin layers of monodomain nematic liquid crystalline gel was observed by polarized light microscopy. The coupling between the orientational ordering of liquid crystalline solvent and the translational…

Soft Condensed Matter · Physics 2009-10-20 Guangnan Meng , Robert B. Meyer

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

Materials Science · Physics 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

Vertically aligned mono-domain nematic liquid crystal elastomers contract when heated. If a temperature gradient is applied across the width of such a cantilever, inhomogeneous strain distribution leads to bending motion. We modelled the…

Soft Condensed Matter · Physics 2009-11-13 K. K. Hon , D. Corbett , E. M. Terentjev

We have discovered an optically uniform type of domain that occurs in Twisted Nematic (TN) cells that are constructed from substrates chemically patterned with stripes via microcontact printing of Self-Assembled Monolayers (SAM); such…

Soft Condensed Matter · Physics 2010-10-26 T. J. Atherton , J. R. Sambles , J. P. Bramble , J. R. Henderson , S. D. Evans
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