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We introduce a construction to embed a quasiperiodic lattice of obstacles into a single unit cell of a higher-dimensional space, with periodic boundary conditions. This construction transparently shows the existence of channels in these…

Chaotic Dynamics · Physics 2012-06-12 Atahualpa S. Kraemer , David P. Sanders

In this work we show that under specific anomalous diffusion conditions, chemical systems can produce well-ordered self-similar concentration patterns through a diffusion-driven instability. We also find spiral patterns and patterns with…

Pattern Formation and Solitons · Physics 2017-02-22 D. Hernández , E. C. Herrera-Hernández , M. Núñez-López , H. Hernández-Coronado

Chiral active particles, or self-propelled circle swimmers, from sperm cells to asymmetric Janus colloids, form a rich set of patterns, which are different from those seen in linear swimmers. Such patterns have mainly been explored for…

Soft Condensed Matter · Physics 2019-07-24 Demian Levis , Benno Liebchen

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach

Phase separation in passive systems leads to uncontrolled droplet growth, limiting structural control in soft materials and cells. We identify a generic mechanism to arrest coarsening based on chemical interconversion between molecular…

Soft Condensed Matter · Physics 2026-03-19 Florian Raßhofer , Erwin Frey

Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A…

Soft Condensed Matter · Physics 2009-11-07 J. L. Hansen , M. van Hecke , C. Ellegaard , K. H. Andersen , T. Bohr , A. Haaning , T. Sams

In this paper the phase behavior and pattern formation in a sheared non-ideal fluid under a periodic potential is studied. An isothermal two-dimensional formulation of a lattice Boltzmann scheme for a liquid-vapor system with the van der…

Fluid Dynamics · Physics 2014-11-25 Alessandro Coclite , Giuseppe Gonnella , Antonio Lamura

We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of…

We report the observation of a doubly-periodic surface defect-pattern in the liquid crystal 8CB, formed during the nematic--smectic A phase transition. The pattern results from the antagonistic alignment of the 8CB molecules, which is…

Soft Condensed Matter · Physics 2013-05-21 O. V. Manyuhina , G. Tordini , W. Bras , J. C. Maan , P. C. M. Christianen

We experimentally investigate the dynamics of synthetic active particles composed of gravitationally bouncing, superwalking droplets confined within an annular fluid bath. Driven by a topologically pumping dual-frequency waveform, the…

Fluid Dynamics · Physics 2025-12-19 Rudra Sekhri , Rahil N. Valani , Tapio Simula

We analyzed conditions for Hopf and Turing instabilities to occur in two-component fractional reaction-diffusion systems. We showed that the eigenvalue spectrum and fractional derivative order mainly determine the type of instability and…

Adaptation and Self-Organizing Systems · Physics 2009-12-09 B. Y. Datsko , V. V. Gafiychuk

In natural settings, intermittent dynamics are ubiquitous and often arise from a coupling between external driving and spatial heterogeneities. A well-known example is the generation of transient, turbulent puffs of fluid through a pipe…

Adaptation and Self-Organizing Systems · Physics 2020-07-01 Guram Gogia , Wentao Yu , Justin C. Burton

The displacement of a viscous liquid by air in the narrow gap between two parallel plates - a Hele-Shaw channel - is an exemplar of complex pattern formation. Typically, bubbles or fingers of air propagate steadily at low values of the…

Fluid Dynamics · Physics 2024-03-01 Jack Lawless , Andrew L. Hazel , Anne Juel

A walking droplet possesses fascinating properties due to its peculiar wave/particle interaction. The self-propelling motion of such a droplet is driven by the Faraday instability triggered around the droplet at each impact. We studied in…

Fluid Dynamics · Physics 2019-04-12 Nicolas Vandewalle , Boris Filoux , Maxime Hubert

We employ a molecular dynamics (MD) study to explore pattern selection in binary fluid mixtures ($AB$) undergoing surface-directed spinodal decomposition on a chemically patterned amorphous substrate. We chose a checkerboard pattern with…

Soft Condensed Matter · Physics 2025-12-12 Syed Shuja Hasan Zaidi , Hema Teherpuria , Santosh Mogurampelly , Prabhat K. Jaiswal

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…

Fluid Dynamics · Physics 2023-07-04 Sunil K. Saroj , Rochish M. Thaokar

We analyze the migration characteristics of a droplet in an oscillatory flow field in a parallel plate micro-confinement. Using phase filed formalism, we capture the dynamical evolution of the droplet over a wide range of the frequency of…

Fluid Dynamics · Physics 2016-02-17 Kaustav Chaudhury , Shubhadeep Mandal , Suman Chakraborty

We study unsteady internal flows in a sessile droplet of capillary size evaporating in constant contact line mode on a heated substrate. Three-dimensional simulations of internal flows in evaporating droplets of ethanol and silicone oil…

Fluid Dynamics · Physics 2021-02-12 A. A. Gavrilina , L. Yu. Barash

We report new dynamical modes in confined soft granular flows, such as stochastic jetting and dripping, with no counterpart in continuum viscous fluids. The new modes emerge as a result of the propagation of the chaotic behaviour of…

Double emulsion formation in a hierarchical flow-focusing channel is systematically investigated using a free energy ternary lattice Boltzmann model. A three dimensional formation regime diagram is constructed based on the capillary numbers…

Soft Condensed Matter · Physics 2020-06-24 Ningning Wang , Ciro Semprebon , Haihu Liu , Chuhua Zhang , Halim Kusumaatmaja