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Ferrofluids show unusual hydrodynamic effects due to the magnetic nature of their constituents. For increasing magnetization a classical ferrofluid undergoes a Rosensweig instability and creates self-organized ordered surface structures or…

Ferrofluids exhibit two canonical interfacial instabilities, a static Rosensweig (normal-field) instability that produces a lattice of peaks and a dynamical Faraday instability that produces parametrically excited standing waves. Here we…

Soft Condensed Matter · Physics 2025-12-24 Taige Wang , Kaiyuan Gu , Anzhou Wang , Zhentang Wang

We describe and demonstrate a method to reconstruct an amplitude equation from the nonlinear relaxation dynamics in the succession of the Rosensweig instability. A flat layer of a ferrofluid is cooled such that the liquid has a relatively…

Pattern Formation and Solitons · Physics 2015-05-19 Christian Gollwitzer , Ingo Rehberg , Reinhard Richter

Ferrofluids are strongly magnetic fluids consisting of magnetic nanoparticles dispersed in a carrier fluid. Besides their technological applications, they have a tendency to form beautiful and intriguing patterns when subjected to external…

Soft Condensed Matter · Physics 2020-09-30 Carlo Rigoni , Bent Harnist , Grégory Beaune , Jaakko V. I. Timonen

To describe the dynamics of a single peak of the Rosensweig instability a model is proposed which approximates the peak by a half-ellipsoid atop a layer of magnetic fluid. The resulting nonlinear equation for the height of the peak leads to…

patt-sol · Physics 2009-10-31 Adrian Lange , Heinz Langer , Andreas Engel

We develop a model describing the behavior of two-phase ferrofluid flows using phase field-techniques and present an energy-stable numerical scheme for it. For a simplified, yet physically realistic, version of this model and the…

Numerical Analysis · Mathematics 2016-08-24 Ricardo H. Nochetto , Abner J. Salgado , Ignacio Tomas

Materials with continuous dissipation can exhibit responses and functionalities that are not possible in thermodynamic equilibrium. While this concept is well-known, a major challenge has been the implementation: how to rationally design…

Soft Condensed Matter · Physics 2020-09-29 Tomy Cherian , Fereshteh Sohrabi , Carlo Rigoni , Olli Ikkala , Jaakko V. I. Timonen

We observe the dynamics of waves propagating on the surface of a ferrofluid under the influence of a spatially and temporarily modulated field. In particular, we excite plane waves by a travelling lamellar modulation of the magnetization.…

Other Condensed Matter · Physics 2009-11-13 A. Beetz , C. Gollwitzer , R. Richter , I. Rehberg

A new kind of contactless pumping mechanism is realized in a layer of ferrofluid via a spatio-temporally modulated magnetic field. The resulting pressure gradient leads to a liquid ramp, which is measured by means of X-rays. The transport…

Fluid Dynamics · Physics 2012-07-19 Thomas Friedrich , Ingo Rehberg , Reinhard Richter

The Rosensweig instability is the phenomenon that above a certain threshold of a vertical magnetic field peaks appear on the free surface of a horizontal layer of magnetic fluid. In contrast to almost all classical hydrodynamical systems,…

Soft Condensed Matter · Physics 2009-11-07 Adrian Lange

We consider a horizontal ferrofluid layer sandwiched between two layers of immiscible non-magnetic fluids. In a sufficiently strong vertical magnetic field the flat interfaces between magnetic and non-magnetic fluids become unstable to the…

Materials Science · Physics 2009-11-10 Dirk Rannacher , Andreas Engel

A mean-field Fokker-Planck equation approach to the dynamics of ferrofluids in the presence of a magnetic field and velocity gradients is proposed that incorporates magnetic dipole-dipole interactions of the colloidal particles. The model…

Soft Condensed Matter · Physics 2015-06-24 Patrick Ilg , Siegfried Hess

In recent years, nonreciprocally coupled systems have received growing attention. Previous work has shown that the interplay of nonreciprocal coupling and Goldstone modes can drive the emergence of temporal order such as traveling waves. We…

Pattern Formation and Solitons · Physics 2024-04-23 Fridtjof Brauns , M. Cristina Marchetti

The equilibrium properties of a system of passive diffusing particles in an external magnetic field are unaffected by the Lorentz force. In contrast, active Brownian particles exhibit steady-state phenomena that depend on both the strength…

Statistical Mechanics · Physics 2020-10-06 Iman Abdoli , Abhinav Sharma

We study collective self-organization of weakly magnetic active suspensions in a uniform external field by analyzing a mesoscopic continuum model that we have recently developed. Our model is based on a Smoluchowski equation for a particle…

Soft Condensed Matter · Physics 2020-10-28 Fabian R. Koessel , Sara Jabbari-Farouji

Vertical drop impacts of ferrofluids onto glass slides in a non-uniform magnetic field have been studied using high-speed photography. Outcomes have been classified based on the motion of the fluid-surface contact lines, and formation of…

This article establishes the global existence of weak solutions to a model proposed by Rosensweig (Rosensweig, Ferrohydrodynamics (1985)) for the dynamics of ferrofluids. The system is expressed by the conservation of linear momentum, the…

Analysis of PDEs · Mathematics 2019-10-02 Ricardo H. Nochetto , Konstantina Trivisa , Franziska Weber

We have calculated the general dispersion relationship for surface waves on a ferrofluid layer of any thickness and viscosity, under the influence of a uniform vertical magnetic field. The amplification of these waves can induce an…

Fluid Dynamics · Physics 2009-10-30 Berengere Abou , Gilles Neron de Surgy , Jose-Eduardo Wesfreid

We show that metastable phases of an antiferromagnetic spin-1 condensate in a simple model with pure contact interactions can exhibit a rotonlike minimum in the excitation spectrum. The introduction of magnetic field gives rise to the…

Quantum Gases · Physics 2012-08-30 Michal Matuszewski

We report an observation of a stable soliton-like structure on the surface of a ferrofluid, generated by a local perturbation in the hysteretic regime of the Rosensweig instability. Unlike other pattern-forming systems with localized 2D…

Pattern Formation and Solitons · Physics 2009-11-11 Reinhard Richter , I. V. Barashenkov
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