output
20022013
most citedPhase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview

364 citations

Showing nlin.PSShow all

12 papers · 1 filter

nlin.PS20118 cited

The Amplitude Equation for the Rosensweig Instability in Magnetic Fluids and Gels

Stefan Bohlius, Harald Pleiner, Helmut R. Brand

The Rosensweig instability has a special character among the frequently discussed instabilities. One distinct property is the necessary presence of a deformable surface, and anothe…

nlin.PS20088 cited

Traveling spatially periodic forcing of phase separation

V. Weith, A. Krekhov, W. Zimmermann

We present a theoretical analysis of phase separation in the presence of a spatially periodic forcing of wavenumber q traveling with a velocity v. By an analytical and numerical st…

nlin.PS200841 cited

Formation of regular structures in the process of phase separation

Alexei Krekhov

Phase separation under directional quenching has been studied in a Cahn-Hilliard model. In distinct contrast to the disordered patterns which develop under a homogeneous quench per…

nlin.PS200737 cited

Growth of surface undulations at the Rosensweig instability

Holger Knieling, Reinhard Richter, Ingo Rehberg +2

We investigate the growth of a pattern of liquid crests emerging in a layer of magnetic liquid when subjected to a magnetic field oriented normally to the fluid surface. After a st…

nlin.PS20064 cited

Long-range effects on superdiffusive solitons in anharmonic chains

C. Brunhuber, F. G. Mertens, Y. Gaididei

Studies on thermal diffusion of lattice solitons in Fermi-Pasta-Ulam (FPU)-like lattices were recently generalized to the case of dispersive long-range interactions (LRI) of the Ka…

nlin.PS200624 cited

Via Hexagons to Squares in Ferrofluids: Experiments on Hysteretic Surface Transformations under Variation of the Normal Magnetic Field

Christian Gollwitzer, Ingo Rehberg, Reinhard Richter

We report on different surface patterns on magnetic liquids following the Rosensweig instability. We compare the bifurcation from the flat surface to a hexagonal array of spikes wi…