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Quasi-periodic structures of quasicrystals yield novel effects in diverse systems. However, there is little investigation on employing quasi-periodic structures in the morphology control. Here, we show the use of quasi-periodic surface…

Applied Physics · Physics 2017-07-17 Enhui Chen , Quanzi Yuan , Ya-Pu Zhao

Generic interacting many-body quantum systems are believed to behave as classical fluids on long time and length scales. Due to rapid progress in growing exceptionally pure crystals, we are now able to experimentally observe this collective…

Strongly Correlated Electrons · Physics 2018-01-08 Andrew Lucas , Kin Chung Fong

Impacts of drops on liquids are ubiquitous in nature and in a range of applications in healthcare, agriculture and industry. They can lead to splash and generation of secondary droplets important for a range of coating, dispersal or…

Fluid Dynamics · Physics 2020-12-07 Raj Dandekar

Whether singularities can form in fluids remains a foundational unanswered question in mathematics. This phenomenon occurs when solutions to governing equations, such as the 3D Euler equations, develop infinite gradients from smooth initial…

Understanding flow patterns and coupled transport phenomena during evaporation of droplets loaded with colloidal particles is central to design technical applications such as organizing proteins/DNA on a solid surface. We review recent…

Soft Condensed Matter · Physics 2019-04-16 Nagesh D. Patil , Rajneesh Bhardwaj

We consider a parametrised family of Thue equations, \[ (x-G_1(n)\, y) \cdots (x-G_d(n)\, y) - y^d = \pm 1, \] which was first considered by Thomas to have an explicit set of solutions for parameters $n$ larger than some effectively…

Number Theory · Mathematics 2024-06-04 Tobias Hilgart

We extend the formalism of the statistical theory developed for the 2D Euler equation to the case of shallow water system. Relaxation equations towards the maximum entropy state are proposed, which provide a parametrization of sub-grid…

Fluid Dynamics · Physics 2009-11-06 P. H. Chavanis , J. Sommeria

The superfluid response of nanoscale size quasi-2D He-4 droplets adsorbed on a graphite substrate is investigated by computer simulations. It is found that clusters comprising as few as 7 atoms are stable at temperatures lower than < 0.15…

Other Condensed Matter · Physics 2025-05-05 K. M. Kolevski , M. Boninsegni

The present study deals with the dynamics of a double emulsion confined in a microchannel under the presence of a uniform electric field. Towards investigating the non-trivial electrohydrodynamics of a compound droplet, confined in between…

Fluid Dynamics · Physics 2018-08-14 Somnath Santra , Sayan Das , Suman Chakraborty

This note introduces a new family of wavelets and a multiresolution analysis, which exploits the relationship between analysing filters and Floquet's solution of Mathieu differential equations. The transfer function of both the detail and…

Methodology · Statistics 2015-01-29 M. M. S. Lira , H. M. de Oliveira , R. J. Cintra

Surface icing affects the safety and performance of numerous processes in technology. Previous studies mostly investigated freezing of individual droplets. The interaction among multiple droplets during freezing is investigated less,…

Soft Condensed Matter · Physics 2019-01-23 Gustav Graeber , Valentin Dolder , Thomas M. Schutzius , Dimos Poulikakos

A numerical model is proposed to simulate the adhesion, compression, and subsequent detachment of a micro-liter droplet from a superhydrophobic surface composed of chemically homogeneous pillars arranged in a periodic fashion, replicating a…

Fluid Dynamics · Physics 2025-11-27 Pawan Kumar , Joseph D. Berry

We explore the dynamics and interactions of multiple bright droplets and bubbles, as well as the interactions of kinks with droplets and with antikinks, in the extended one-dimensional Gross-Pitaevskii model including the Lee-Huang-Yang…

Electrified liquids are well known to be prone to a variety of interfacial instabilities that result in the onset of apparent interfacial singularities and liquid fragmentation. In the case of electrically conducting liquids, one of the…

Analysis of PDEs · Mathematics 2016-07-19 Cyrill B. Muratov , Matteo Novaga

In an effort to address integrability breaking in cold gas experiments, we extend the integrable hydrodynamics of the 1d Lieb-Liniger model with two additional components representing the population of atoms in the first and second…

The Drude-Lorentz model for the motion of electrons in a solid is a classical model in statistical mechanics, where electrons are represented as point particles bouncing on a fixed system of obstacles (the atoms in the solid). Under some…

Mathematical Physics · Physics 2016-06-29 François Golse

Curved fluid interfaces are investigated on the nanometre length scale by molecular dynamics simulation. Thereby, droplets surrounded by a metastable vapour phase are stabilized in the canonical ensemble. Analogous simulations are conducted…

Aerobreakup of fluid droplets under the influence of impulsively generated high-speed gas flow using an open-ended shock tube is studied using experiments and numerical simulations. Breakup of mm-sized droplets at high Weber number was…

Fluid Dynamics · Physics 2022-06-24 James Leung , Mohana Gurunadhan , Shyam Menon

We show that the model of discrete spaces that we have proposed in previous contributions gives a comprehensive and detailed interpretation of the properties of the standard model of particles. Moreover the model also suggests the possible…

General Physics · Physics 2013-02-04 Pierre Peretto

Bouncing walking droplets possess fascinating properties due to their peculiar wave/particule interaction. In order to study such walkers in a 1d system, we considered the case of one or more droplets in an annular cavity. We show that, in…

Fluid Dynamics · Physics 2015-11-04 B. Filoux , M. Hubert , N. Vandewalle