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We consider a two-dimensional, pure capillary drop of nearly-circular shape, having constant vorticity. We write the Craig-Sulem equations on the unit circle, then on the flat torus. We show their Hamiltonian structure and we then observe…

偏微分方程分析 · 数学 2026-03-06 Giuseppe La Scala

Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk free energies of the liquid crystal with geometric properties of the…

软凝聚态物质 · 物理学 2021-03-17 Ingo Nitschke , Sebastian Reuther , Axel Voigt

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a flat and a spherical rough and textured substrate is theoretically studied in the capillary-controlled spreading regime. A droplet whose scale is much…

软凝聚态物质 · 物理学 2017-11-22 Masao Iwamatsu

From a viewpoint of oblate-prolate symmetry and its breaking, we adopt the quadrupole collective Hamiltonian to study dynamics of triaxial deformation in shape coexistence phenomena. It accommodates the axially symmetric rotor model, the…

We report the dynamics of a droplet levitated in a single-axis acoustic levitator. The deformation and atomization behavior of the droplet in the acoustic field exhibits a myriad of complex phenomena, in sequences of steps. These include…

流体动力学 · 物理学 2023-07-04 Sunil K. Saroj , Rochish M. Thaokar

A new scheme for producing semidiscrete self-trapped vortices (\textquotedblleft swirling photon droplets\textquotedblright ) in photonic crystals with competing quadratic ($\chi ^{(2)}$) and self-defocusing cubic ($\chi ^{(3)}$)…

A droplet can deform a soft substrate due to capillary forces when they are in contact. We study the static deformation of a soft solid layer coated on a rigid cylindrical fiber when an axisymmetric barrel-shaped droplet is embracing it. We…

软凝聚态物质 · 物理学 2023-07-26 Bo Xue Zheng , Christian Pedersen , Andreas Carlson , Tak Shing Chan

The ground state of a two-dimensional, harmonically confined mesoscopic assembly of up to thirty polar molecules is studied by computer simulations. As the strength of the confining trap is increased, clusters evolve from superfluid, to…

介观与纳米尺度物理 · 物理学 2013-06-07 Massimo Boninsegni

The transition from cluster structures to extremely elongated ellipsoidal shapes and nuclear molecules in light $A=12-50$ $(N \sim Z)$ nuclei has been studied within the framework of covariant density functional theory. Nodal structure of…

核理论 · 物理学 2018-11-29 A. V. Afanasjev

Vesicles are micrometric soft particles whose the membrane is a two-dimensional incompressible fluid governed by bending resistance leading to a zoology of shapes. The dynamics of deflated vesicles in shear flow with a bottom wall, a first…

软凝聚态物质 · 物理学 2019-09-10 Maximilien Degonville , Gwenn Boedec , Marc Leonetti

We demonstrate that hot superheavy nuclei do not retain spherical shapes, as traditionally assumed, but instead equilibrate in deformed, often oblate or triaxial, configurations at finite excitation energy. This behavior arises from a…

We study homogeneous nucleation from a deeply quenched metastable liquid to a spatially modulated phase. We find, for a general class of density functional theories, that the universally favored nucleating droplet in dimensions $d \geq 3$…

统计力学 · 物理学 2015-06-17 Kipton Barros , W. Klein

Targeting specific technological applications requires the control of nanoparticle properties, especially the crystalline polymorph. Freezing a nanodroplet deposited on a solid substrate leads to the formation of crystalline structures. We…

软凝聚态物质 · 物理学 2018-03-02 Julien Lam , James F. Lutsko

We numerically study the interplay between heterogeneous dynamics and properties of negatively curved regions of the potential energy surface in a model glassy system. We find that the unstable modes of saddles and quasi-saddles undergo a…

统计力学 · 物理学 2007-05-23 D. Coslovich , G. Pastore

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…

软凝聚态物质 · 物理学 2017-06-22 Andre M. Sonnet , Epifanio G. Virga

In order to control and tailor the properties of nanodots, it is essential to separate the effects of quantum confinement from those due to the surface, and to gain insight into the influence of preparation conditions on the dot physical…

材料科学 · 物理学 2009-10-31 Laurent Pizzagalli , Giulia Galli , John E. Klepeis , Francois Gygi

We study the equilibrium shape of liquid drops minimizing the fractional perimeter under the action of a potential energy. We prove, with a quantitative estimate, that the small volume minimizers are convex and uniformly close to a ball.

偏微分方程分析 · 数学 2023-04-14 Konstantinos Bessas , Matteo Novaga , Fumihiko Onoue

Composed of square particles, the tetratic phase is characterised by a four-fold symmetry with quasi-long-range orientational order but no translational order. We construct the elastic free energy for tetratics and find a closed form…

软凝聚态物质 · 物理学 2015-03-20 O. V. Manyuhina , M. J. Bowick

The angular momentum of rotating superfluid droplets originates from quantized vortices and capillary waves, the interplay between which remains to be uncovered. Here, the rotation of isolated sub-micrometer superfluid 4He droplets is…

Mixed $^3$He-$^4$He droplets created by hydrodynamic instability of a cryogenic fluid-jet may acquire angular momentum during their passage through the nozzle of the experimental apparatus. These free-standing droplets cool down to very low…

量子气体 · 物理学 2020-08-12 Marti Pi , Francesco Ancilotto , Jose' Maria Escartin , Ricardo Mayol , Manuel Barranco