Period stabilization in the Busse–Heikes model of the Küppers–Lortz instability

The Busse–Heikes dynamical model is described in terms of relaxational and non-relaxational dynamics. Within this dynamical picture a diverging alternating period is calculated in a reduced dynamics given by a time-dependent Hamiltonian with decreasing energy. A mean period is calculated which results from noise stabilization of a mean energy. The consideration of spatial-dependent amplitudes leads to vertex formation. The competition of front motion around the vertices and the Küppers–Lortz instability in determining an alternating period is discussed.     

High‐pressure high‐temperature synthesis of Rh2O3‐II‐type In2O3 polymorph

The metastability of the bixbyite‐ and corundum‐type In₂O₃ polymorphs up to 33 GPa (at room temperature) is shown. While compressed (in diamond anvil cells) and laser‐heated, both polymorphs undergo a phase transition to the Rh₂O₃‐II‐type structure (space group Pbcn, No. 60). The direct transition from bixbyite to Rh₂O₃‐II structure has not yet been observed for any other oxide.

     

Dependence of the magnetization on the interface morphology in ultra-thin magnetic/non-magnetic films: Monte Carlo approach

Using Monte Carlo simulations, we have studied the dependence of magnetic properties on interface morphology in magnetic/non-magnetic (M/NM) multilayers. Our aim is to relate macroscopic magnetic properties of the multilayers to their concentration profile at the interface. Our model consists of an alternate staking of magnetic and non-magnetic layers with disordered interfaces. We have considered different concentration and the existence of local magnetic domains at the interface. The results indicate the crucial dependence of magnetization amplitude with interface multilayers atomic composition and the spatial arrangement of magnetic atoms. In particular, we show that isolated islands at the interface leads to the apparition of super-paramagnetic behavior.     

BRS Cohomology and the Chern Character in Noncommutative Geometry

We briefly report on new results concerning a perturbation expansion structure within the framework of an analytic version of perturbative quantum chromodynamics (pQCD). This approach combines the RG symmetry with the Källén–Lehmann analyticity in the Q² variable. The procedure of analytization matches this analyticity with the RG invariance by adding to the analytized invariant coupling some nonperturbative contributions containing no adjustable parameters. In turn, the new perturbative expansion (the APT expansion) for an observable represents asymptotic expansion over a nonpower set of specific functions rather than in powers of . We analyze this set and show that it obeys different properties in various ranges of the Q² variable. In the UV, it is close to the power set used in the pQCD calculation. However, generally, this set is of a more complicated nature. In the low Q² region the behavior of is oscillating. Here, the APT expansion has a feature of asymptotic expansion à la Erdélyi. The issue of the consistency of an analytization procedure with the RG structure of observables is also discussed.