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We introduce a nonlinear, one-dimensional bending-twisting model for an inextensible bi-rod that is composed of a nematic liquid crystal elastomer. The model combines an elastic energy that is quadratic in curvature and torsion with a…

Analysis of PDEs · Mathematics 2022-05-31 Sören Bartels , Max Griehl , Jakob Keck , Stefan Neukamm

We consider an active, stochastic microscopic model of particles suspended in a fluid and show that the coarse-grained description of this model renders odd viscoelasticity. The particles are odd dumbbells, each featuring a robotic device…

Soft Condensed Matter · Physics 2024-10-23 Paweł Matus , Ruben Lier , Piotr Surówka

The problem of heterogeneous nucleation of second-phase in alloys in the vicinity of elastic defects is considered. The defect can be a dislocation line or a crack tip residing in a crystalline solid. We use the Ginzburg-Landau equation to…

Materials Science · Physics 2011-10-07 Christina Bjerkén , Ali R. Massih

Odd elasticity describes the unusual elastic response of solids whose stress-strain relationship is not compatible with an elastic potential. Here, we present a study of odd elasticity in a driven granular matter system composed of grains…

Soft Condensed Matter · Physics 2023-12-01 Rosalind Huang , Rituparno Mandal , Colin Scheibner , Vincenzo Vitelli

Different liquid crystalline phases with long-range orientational but not positional order, so-called nematic phases, are scarce. It rarely occurs that a new nematic phase is discovered and such event is inevitably accompanied by a great…

Modeling liquid crystal elastomers (LCEs) at the molecular level is crucial for the predictable design of energy-conversion and stimuli-responsive materials. Here, we develop a self-consistent field theory for LCEs which captures the…

Soft Condensed Matter · Physics 2023-10-05 Luofu Liu , Rui Wang

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

We derive a multiphysics model that accounts for network elasticity with spontaneous strains, swelling and nematic interactions in liquid crystal gels (LCGs). We discuss the coupling among the various physical mechanisms, with particular…

Soft Condensed Matter · Physics 2018-11-28 Alessandro Lucantonio , Antonio DeSimone

The values of liquid odd-viscosity coefficients remain largely unknown, with only a single experimental measurement reported to date [Nature Physics 15, 1188 (2019)]. In this work, inspired by the well-known consequences of dispersion…

Fluid Dynamics · Physics 2025-11-12 E. Kirkinis , A. Levchenko

We develop a Q-tensor model of nematic liquid crystals occupying a stationary surface which represents a fluidic material film in space. In addition to the evolution due to Landau--de\,Gennes energy the model includes a tangent viscous…

Fluid Dynamics · Physics 2023-10-06 Lucas Bouck , Ricardo H. Nochetto , Vladimir Yushutin

Nematic elastomers are a particular class of liquid crystal elastomers (LCEs) that exhibit both liquid-crystalline order and rubber (entropic) elasticity. This combination makes them stimuli-responsive soft materials with a number of…

Soft Condensed Matter · Physics 2025-12-08 Alice Kutsyy , Adeline Wihardja , Victoria Lee , Kaushik Bhattacharya

We propose a simple theoretical model which explains a formation of dipolar 2D and 3D colloidal structures in nematic liquid crystal. Colloidal particles are treated as effective hard spheres interacting via their elastic dipole, quadrupole…

Soft Condensed Matter · Physics 2015-06-15 S. B. Chernyshuk , O. M. Tovkach , B. I. Lev

The structure, thermodynamics and slow activated dynamics of the equilibrated metastable regime of glass-forming fluids remains a poorly understood problem of high theoretical and experimental interest. We apply a highly accurate…

Soft Condensed Matter · Physics 2024-08-21 Subhashish Chaki , Baicheng Mei , Kenneth S. Schweizer

This letter reports theory of elasticity and hydrodynamics of quasicrystals with 7-, 14-, 9- and 18-fold symmetries in solid phase, in which the 6-dimensional embedding space concept is used. Based on the concept and the Landau-Anderson…

Materials Science · Physics 2012-10-02 Tian You Fan

A host of elastic systems consisting of active components exhibit path-dependent elastic behaviors not found in classical elasticity, which is known as odd elasticity. Odd elasticity is characterized by antisymmetric (odd) elastic modulus…

Soft Condensed Matter · Physics 2024-10-29 Yi-Heng Zhang , Zhenwei Yao

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

Colloids dispersed in nematic liquid crystals form topological composites in which colloid-associated defects mediate interactions while adhering to fundamental topological constraints. Better realising the promise of such materials…

Soft Condensed Matter · Physics 2024-04-16 Louise C. Head , Yair A. G. Fosado , Davide Marenduzzo , Tyler N. Shendruk

The Ericksen-Leslie model for nematic liquid crystal flows in case of an isothermal and incompressible fluid with general Leslie stress and anisotropic elasticity, i.e. with general Ericksen stress tensor, is shown for the first time to be…

Analysis of PDEs · Mathematics 2025-11-25 Matthias Hieber , Jinkai Li , Mathias Wilke

Motivated by recent experimental observations [U. Delabre et al, Langmuir 24, 3998, 2008] we reconsider an instability of ultrathin nematic films, spread on liquid substrates. Within a continuum elastic theory of liquid crystals, in the…

Soft Condensed Matter · Physics 2011-02-18 O. V. Manyuhina , A. -M. Cazabat , M. Ben Amar

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