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Within the framework of continuum theory, we draw a parallel between ferromagnetic materials and nematic liquid crystals confined on curved surfaces, which are both characterized by local interaction and anchoring potentials. We show that…

Soft Condensed Matter · Physics 2022-02-22 Gaetano Napoli , Oleksandr V. Pylypovskyi , Denis D. Sheka , Luigi Vergori

The mechanical response of naturally abundant amorphous solids such as gels, jammed grains, and biological tissues are not described by the conventional paradigm of broken symmetry that defines crystalline elasticity. In contrast, the…

Disordered Systems and Neural Networks · Physics 2020-09-29 Jishnu N. Nampoothiri , Yinqiao Wang , Kabir Ramola , Jie Zhang , Subhro Bhattacharjee , Bulbul Chakraborty

We study DC and AC electrophoresis of silica micro and nanorods in a thin film of a nematic liquid crystal. These particles induce virtual topological defects and also demonstrate nontrivial electrophoresis in a nematic liquid crystal. We…

Soft Condensed Matter · Physics 2022-04-26 Muhammed Rasi M , Archana S , Ravi Kumar Pujala , Surajit Dhara

We study the effects of long-range electrostatic interactions on the thermal fluctuations of free-standing crystalline membranes exhibiting spontaneous electric polarization directed at each point along the local normal to the surface. We…

Statistical Mechanics · Physics 2019-11-20 Achille Mauri , Mikhail I. Katsnelson

This article re-examines a classic question in liquid-crystal physics: What are the elastic modes of a nematic liquid crystal? The analysis uses a recent mathematical construction, which breaks the director gradient tensor into four…

Soft Condensed Matter · Physics 2019-03-04 Jonathan V. Selinger

Polar nematic liquid crystals are new classes of condensed-matter states where the inversion symmetry common to the traditional apolar nematics is broken. Establishing theoretical descriptions for the novel phase states is an urgent task.…

Soft Condensed Matter · Physics 2024-02-01 Yu Zou , Satoshi Aya

Field-induced reorientation of colloidal particles is especially relevant to manipulate the optical properties of a nanomaterial for target applications. We have recently shown that surprisingly feeble external stimuli are able to transform…

Soft Condensed Matter · Physics 2021-07-07 Effran Mirzad Rafael , Luca Tonti , Daniel Corbett , Alejandro Cuetos , Alessandro Patti

We consider a one-dimensional model allowing analytical derivation of the effective interactions between two charged colloids. We evaluate exactly the partition function for an electroneutral salt-free suspension with dielectric jumps at…

Soft Condensed Matter · Physics 2021-04-23 Lucas Varela , Gabriel Tellez , Emmanuel Trizac

We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In this state, the nematic order is induced by the boundary…

Analysis of PDEs · Mathematics 2025-08-08 Dmitry Golovaty , Jamie Taylor , Raghavendra Venkatraman , Arghir Zarnescu

Colloidal gels are prime examples of functional materials exhibiting disordered, amorphous, yet meta-stable forms. They maintain stability through short-range attractive forces and their material properties are tunable by external forces.…

We propose a hybrid lattice Boltzmann algorithm to simulate the hydrodynamics of colloidal particles inside a liquid crystalline host. To validate our algorithm, we study the static and the microrheology of a colloid in a nematic, with…

Soft Condensed Matter · Physics 2011-02-11 J. S. Lintuvuori , D. Marenduzzo , K. Stratford , M. E. Cates

Fluctuation-induced interactions between anisotropic objects immersed in a nematic liquid crystal are shown to depend on the relative orientation of these objects. The resulting long-range ``Casimir'' torques are explicitely calculated for…

Soft Condensed Matter · Physics 2016-08-31 R. Golestanian , A. Ajdari , J. -B. Fournier

Nematic shells are colloidal particles coated with nematic liquid crystal molecules which may freely glide and rotate on the colloid's surface while keeping their long axis on the local tangent plane. We describe the nematic order on a…

Soft Condensed Matter · Physics 2017-06-22 Andre M. Sonnet , Epifanio G. Virga

We consider anisotropic colloidal particles immersed in a solution of long, flexible, and nonadsorbing polymers. For the dumbbell shapes of recently synthesized particles consisting of two intersecting spheres and for lens-shaped particles…

Statistical Mechanics · Physics 2009-11-11 E. Eisenriegler , A. Bringer

We analyse a recent generalised free-energy for liquid crystals posited by Virga and falling in the class of quartic functionals in the spatial gradients of the nematic director. We review some known interesting solutions, i. e., uniform…

Soft Condensed Matter · Physics 2020-10-30 G. De Matteis , L. Martina , C. Naya , V. Turco

As an approach to the motion of particles in an anisotropic liquid, we analytically study the Stokes drag of spherical particles in a nematic liquid crystal. The Stokes drag of spherical particles for a general anisotropic case is derived…

Soft Condensed Matter · Physics 2014-03-07 M. V. Kozachok , B. I. Lev

Interparticle interactions in charge-stabilized colloidal suspensions, of arbitrary salt concentration, are described at the level of effective interactions in an equivalent one-component system. Integrating out from the partition function…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

In culture migrating and interacting amoeboid cells can form nematic liquid crystal phases. A polar nematic liquid crystal is formed if the interaction has a polar symmetry. One type of white blood cells (granulocytes) form clusters where…

Biological Physics · Physics 2007-05-23 Ralf Kemkemer , Dieter Kling , Dieter Kaufmann , Hans Gruler

The zero temperature response of an interacting electron liquid to a time-dependent vector potential of wave vector q and frequency w such that q << q_F, qv_F<< w << E_F/hbar (where q_F, v_F and E_F are the Fermi wavevector, velocity and…

Condensed Matter · Physics 2009-10-31 S. Conti , G. Vignale

We study the effective electrostatic interactions between a pair of charged colloidal particles without salt ions while the system is confined in two dimensions. In particular we use a simplified model to elucidate the effects of rotational…

Soft Condensed Matter · Physics 2010-09-09 Chi-Lun Lee , Sio-Kit Ng
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