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Fluids cooled to the liquid-vapor critical point develop system-spanning fluctuations in density that transform their visual appearance. Despite the rich phenomenology of this critical point, there is not currently an explanation of the…

统计力学 · 物理学 2020-10-09 Moupriya Das , Jason R. Green

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…

软凝聚态物质 · 物理学 2014-01-21 Vinzenz Koning , Vincenzo Vitelli

Particle tracking with a 0.98$\mu$m silica sphere is used in determining precessional motion of nematic director in nematic phase of 8CB liquid crystals, as it probes those oriented structures which are of the same wavelength as of the…

软凝聚态物质 · 物理学 2015-05-12 Balaji Yendeti , Ashok Vudaygiri

A dynamic light scattering study of director-layer fluctuations in the antiferroelectric smectic-ZA phase of the ferroelectric nematic liquid crystal DIO is reported. The dynamics are consistent with the distinctive feature of the ZA phase…

We investigate the behavior of a one-dimensional diatomic fluid under a shock wave excitation. We find that the properties of the resulting shock wave are in striking contrast with those predicted by hydrodynamic and kinetic approaches,…

统计力学 · 物理学 2009-11-11 Pablo I. Hurtado

Twisted hedgehogs are defects in spherical cavities with homeotropic anchoring for the nematic director that arise when twist distortions are sufficiently less energetic than splay (and bend) distortions. They bear a characteristic…

软凝聚态物质 · 物理学 2024-01-08 Federica Ciuchi , Maria Penelope De Santo , Silvia Paparini , Lorenza Spina , Epifanio G. Virga

We theoretically investigate under what conditions the director field in a spindle-shaped nematic droplet or tactoid obtains a twisted, parity-broken structure. By minimizing the sum of the bulk elastic and surface energies, we show that a…

软凝聚态物质 · 物理学 2016-08-31 P. Prinsen , P. van der Schoot

A nonlinear viscoelastic theory of nematodynamic type is developed for nematic liquid crystalline (LC) semi-flexible polymers. A measure of transient elastic strain due to the change in length of macromolecular strands under stress, and the…

凝聚态物理 · 物理学 2007-05-23 A. I. Leonov , V. S. Volkov

We introduce and study a one-parameter family of curve diffusion flows with a scale-critical cubic curvature term for closed immersed planar curves. We first classify all closed stationary solutions, showing that they are precisely circles…

偏微分方程分析 · 数学 2026-04-03 Tatsuya Miura , Glen Wheeler

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…

软凝聚态物质 · 物理学 2009-10-20 Guangnan Meng , Robert B. Meyer

Most, but not all, liquid crystals tend to align when subject to shear flow, while most nematic polymeric liquid crystals undergo a tumbling instability, where the director rotate with the flow. The reasons of this instability remain…

软凝聚态物质 · 物理学 2019-07-24 Stefano S. Turzi

Nematic liquid crystals exhibit both crystal-like and fluid-like features. In particular, the propagation of an acoustic wave shows an unexpected occurrence of some of the solid-like features at the hydrodynamic level, namely, the…

软凝聚态物质 · 物理学 2017-01-04 Stefano S. Turzi

We introduce a new class of non-isothermal models describing the evolution of nematic liquid crystals and prove their consistency with the fundamental laws of classical Thermodynamics. The resulting system of equations captures all…

偏微分方程分析 · 数学 2015-05-27 E. Feireisl , M. Fre'mond , E. Rocca , G. Schimperna

If a static perturbation is applied to a liquid crystal, the director configuration changes to minimize the free energy. If a shear flow is applied to a liquid crystal, one might ask: Does the director configuration change to minimize any…

软凝聚态物质 · 物理学 2020-03-11 Xingzhou Tang , Jonathan V. Selinger

For a class of nonconservative hyperbolic systems of partial differential equations endowed with a strictly convex mathematical entropy, we formulate the initial value problem by supplementing the equations with a kinetic relation…

偏微分方程分析 · 数学 2011-03-31 Christophe Berthon , Frédéric Coquel , Philippe G. LeFloch

Lyotropic liquid crystals can display rich phase behaviour and self-organisation, yet the physical principles underlying their self-assembly into large scale patterns remains understudied. Here, we combine theory, simulations and…

软凝聚态物质 · 物理学 2026-02-12 A. Bensabat , O. Skelton , J. Arlt , M. Bjelogrlic , D. Marenduzzo , G. Negro , T. N. Shendruk , T. A. Wood

Vibrated monolayers of granular particles confined into horizontal cavities form a variety of fluid patterns with orientational order that resemble equilibrium liquid-crystal phases. In some cases one can identify nematic and smectic…

软凝聚态物质 · 物理学 2023-12-12 Yuri Martinez-Raton , Enrique Velasco

Two-dimensional arrays of nonlinear electric oscillators are considered theoretically, where nearest neighbors are coupled by relatively small, constant, but non-equal capacitors. The dynamics is approximately reduced to a weakly…

斑图形成与孤子 · 物理学 2020-07-09 Victor P. Ruban

Using a matched asymptotic expansion we analyze the two-dimensional, near- critical reflection of a weakly nonlinear, internal gravity wave from a sloping boundary in a uniformly stratified fluid. Taking a distinguished limit in which the…

patt-sol · 物理学 2017-05-17 T. Dauxois , W. R. Young

We formulate a theory of dissipative hydrodynamics with spontaneously broken translations, describing charge density waves in a clean isotropic electronic crystal. We identify a novel linear transport coefficient, lattice pressure,…

高能物理 - 理论 · 物理学 2020-07-01 Jay Armas , Akash Jain