Pattern formation in skyrmionic materials with anisotropic environments

Anisotropic diffusion in oriented environments can lead to singularity formation

Front propagation and pattern formation in anisotropic bistable media

The effects of diffusion anisotropy on pattern formation in bistable media are studied using a FitzHugh-Nagumo reaction-diffusion model. A relation between the normal velocity of a front and its curvature is derived and used to identify distinct spatiotemporal patterns induced by the diffusion anisotropy. In a wide parameter range anisotropy is found to have an ordering effect: initial patterns...

Fractal Pattern Formation at Elastic-Plastic Transition in Heterogeneous Materials

Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random fluctuations in elastic moduli and/or yield limits and (2) a polycrystal made of randomly oriented anisotropic grains. In each case, the spatial assignment of ma...

Chemically Controlled Pattern Formation in Phase - Separating Materials

The role of chemical reactions in the selection of patterns in phase-separating mixtures is presented. Linearized theory and computer simulation show that the initial long-wavelength instability characteristic of spinodal decomposition is suppressed by chemical reactions, which restrict domain growth to intermediate length scales even in the late stages of phase separation. Our findings suggest...

Formation and stability of metastable skyrmionic spin structures with various topologies in an ultrathin film

Levente Rózsa,1,* Krisztián Palotás,2,3 András Deák,2,4 Eszter Simon,2 Rocio Yanes,5 László Udvardi,2,4 László Szunyogh,2,4 and Ulrich Nowak6 1Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary 2Department of Theoretical Physics, Budapest University of Technology and Economics, Budafoki út 8, H-1...