2D-1D Dimensional reduction in a toy model for magnetoelastic interactions

Magnetoelastic Interactions in the Hexagonal Belorizky Model

The theory o f dynamical magnetoelasticity in the hexagonal Belorizky model is presented in this paper. We show that the interaction o f spins with lattice vibrations gives rise to multiaxis anisotropic biquadratic exchange. It is shown that this anisotropy favours some directions and can stabilize three-sublattice ordering o f the system. Formulae for low-temperature spin wave spectra were obt...

Spatial Heterogeneity in 3d-2d Dimensional Reduction

A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret (1995). Specific characterizations of the 2D elastic energy are produced. As a generalization of Bouchitté et al. (2002), the case where external loads induce a density of bending moment that produces a Cosserat...

A one - dimensional toy model of globular clusters

We introduce a one-dimensional toy model of globular clusters. The model is a version of the well-known gravitational sheets system, where we take additionally into account mass and energy loss by evaporation of stars at the boundaries. Numerical integration by the “exact” event-driven dynamics is performed, for initial uniform density and Gaussian random velocities. Two distinct quasi-stationa...

Nonlinear Electro- and Magnetoelastic Interactions

Thin Film Limits in Magnetoelastic Interactions