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Spatio-temporal pattern formation in complex systems presents rich nonlinear dynamics which leads to the emergence of periodic nonequilibrium structures. One of the most prominent equations for the theoretical and numerical study of the…

Pattern Formation and Solitons · Physics 2021-08-31 Daniel L. Coelho , Eduardo Vitral , José Pontes , Norberto Mangiavacchi

We study pattern formation in planar fluid systems driven by intermolecular cohesion (which manifests as a line tension) and dipole-dipole repulsion which are observed in physical systems including ferrofluids in Hele-Shaw cells and…

Soft Condensed Matter · Physics 2015-04-01 Jaron Kent-Dobias , Andrew J. Bernoff

The self-assembly in two dimensions of spherical magnets in strong magnetic field is addressed theoretically. %% It is shown that the attraction and assembly of parallel magnetic chains is the result of a delicate interplay of dipole-dipole…

Statistical Mechanics · Physics 2016-12-28 René Messina , Igor Stanković

When tiny soft ferromagnetic particles are placed along a liquid interface and exposed to a vertical magnetic field, the balance between capillary attraction and magnetic repulsion leads to self-organization into well-defined patterns.…

Soft Condensed Matter · Physics 2020-11-13 Ylona Collard , Galien Grosjean , Nicolas Vandewalle

We study the formation and dynamics of dipolar rings composed by microscopic ferromagnetic ellipsoids, which self-assemble in water by switching the direction of the applied field. We show how to manipulate these fragile structures and…

Soft Condensed Matter · Physics 2016-08-30 Fernando Martinez-Pedrero , Andrejs Cebers , Pietro Tierno

Thin rigid sheets floating on a liquid substrate appear, for example, in coatings and surfactant monolayers. Upon uniaxial compression the sheet undergoes transitions from a compressed flat state to a periodic wrinkled pattern to a…

Soft Condensed Matter · Physics 2017-10-11 Oz Oshri , Haim Diamant

This is an archival document; the work contains theoretical development to be used in new publications and to stimulate further development. Here, we develop a statistical mechanical treatment of a braid formed of two molecules subject to…

Statistical Mechanics · Physics 2014-03-31 D. J. Lee

We report observations of stable, localized, line-like structures in the spatially periodic pattern formed by nematic electroconvection, along which the phase of the pattern jumps by $\pi$. With increasing electric voltage, these lines form…

Pattern Formation and Solitons · Physics 2016-09-08 Soichi Tatsumi , A. G. Rossberg , Masaki Sano

A Hele-Shaw cell is a device used to study fluid flow between two parallel plates separated by a small gap. The governing equation of flow within a Hele-Shaw cell is Darcy's law, which also describes flow through a porous medium. In this…

Fluid Dynamics · Physics 2023-05-25 Dylan Reynolds , Gustavo M. Monteiro , Sriram Ganeshan

We consider a pentagon chain described by a Hubbard type of model considered under periodic boundary conditions. The system i) is placed in an external magnetic field perpendicular to the plane of the cells, and ii) is in a site selective…

Strongly Correlated Electrons · Physics 2015-11-24 Gyorgy Kovacs , Zsolt Gulacsi

We investigate the flow of two immiscible, viscous fluids in a rotating Hele-Shaw cell, when one of the fluids is a ferrofluid and an external magnetic field is applied. The interplay between centrifugal and magnetic forces in determining…

Soft Condensed Matter · Physics 2009-10-31 Jose A. Miranda

When a soft glassy colloidal suspension is displaced by a Newtonian fluid in a radial Hele-Shaw geometry, the pattern morphology that develops at the interface is determined by the complex rheology of the former. We had reported in an…

Soft Condensed Matter · Physics 2022-10-18 Palak , Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

Compliant environments can mediate interactions between mechanically active cells like fibroblasts. Starting with a phenomenological model for the behaviour of single cells, we use extensive Monte Carlo simulations to predict non-trivial…

Soft Condensed Matter · Physics 2007-05-23 I. B. Bischofs , U. S. Schwarz

Magneto-optical imaging of thick stress-free lead samples reveals two distinct topologies of the intermediate state. Flux tubes are formed upon magnetic field penetration (closed topology) and laminar patterns appear upon flux exit (open…

Superconductivity · Physics 2007-05-23 Ruslan Prozorov , Russell W. Giannetta , Anatolii A. Polyanskii , Garry K. Perkins

Suspensions of swimming micro-organisms provide examples of coordinated active dynamics. That has stimulated the study of a phenomenological theory combining synchronization and polar order in active matter. Here, we consider another…

Soft Condensed Matter · Physics 2019-04-08 M. Leoni

Previous symmetry-based database searches have already revealed ubiquitous band topology in nature, while the destiny of band topology under symmetry-breaking is yet to be studied comprehensively. Here we first develop a framework allowing…

Materials Science · Physics 2024-12-04 Feng Tang , Xiangang Wan

We consider the motion of a harmonically trapped overdamped particle, which is submitted to a self-phoretic force, that is proportional to the gradient of a diffusive field for which the particle itself is the source. In agreement with…

Statistical Mechanics · Physics 2025-01-23 A. Alexandre , L. Anderson , T. Collin-Dufresne , T. Guérin , D. S. Dean

We consider pattern formation in periodically forced binary systems. In particular we focus on systems in which the two species are differentially forced, one being accelerated with respect to the other. Using a continuum model consisting…

Materials Science · Physics 2007-05-23 C. M. Pooley , J. M. Yeomans

Radio observations of Fanaroff-Riley class II sources often show correlations between the synchrotron emission and the linear-polarimetric distributions. Magnetic position vectors seem to align with the projected emission of both the radio…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Martin Huarte-Espinosa , Martin Krause , Paul Alexander