1,056 research outputs found
Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation
Fractionally-quadratic transformations which reduce any two-dimensional
quadratic system to the special Lienard equation are introduced. Existence
criteria of cycles are obtained
Magnetic Collapse and the Behavior of Transition Metal Oxides at High Pressure
We report a detail theoretical study of the electronic structure and phase
stability of transition metal oxides MnO, FeO, CoO, and NiO in their
paramagnetic cubic B1 structure by employing dynamical mean-field theory of
correlated electrons combined with \emph{ab initio} band structure methods
(DFT+DMFT). Our calculations reveal that under pressure these materials exhibit
a Mott insulator-metal transition (IMT) which is accompanied by a simultaneous
collapse of local magnetic moments and lattice volume, implying a complex
interplay between chemical bonding and electronic correlations. Moreover, our
results for the transition pressure show a monotonous decrease from ~ 145 GPa
to 40 GPa, upon moving from MnO to CoO. In contrast to that, in NiO, magnetic
collapse is found to occur at remarkably higher pressure of ~ 429 GPa. We
provide a unified picture of such a behavior and suggest that it is primary a
localized to itinerant moment behavior transition at the IMT that gives rise to
magnetic collapse in transition metal oxides.Comment: 6 pages, 3 figure
The properties of isolated chiral skyrmions in thin magnetic films
Axisymmetric solitonic states (chiral skyrmions) have been predicted
theoretically more than two decades ago. However, until recently they have been
observed in a form of skyrmionic condensates (hexagonal lattices and other
mesophases). In this paper we report experimental and theoretical
investigations of isolated chiral skyrmions discovered in PdFe/Ir(111) bilayers
two years ago (Science 341 , 636 (2013)). The results of spin-polarized
scanning tunneling microscopy analyzed within the continuum and discrete models
provide a consistent description of isolated skyrmions in thin layers. The
existence region of chiral skyrmions is restricted by strip-out instabilities
at low fields and a collapse at high fields. We demonstrate that the same
equations describe axisymmetric localized states in all condensed matter
systems with broken mirror symmetry, and thus our findings establish basic
properties of isolated skyrmions common for chiral liquid crystals, different
classes of noncentrosymmetric magnets, ferroelectrics, and multiferroics.Comment: 12 pages, 12 figure
Lattice dynamics of palladium in the presence of electronic correlations
We compute the phonon dispersion, density of states, and the Gr\"uneisen
parameters of bulk palladium in the combined density functional theory (DFT)
and dynamical mean-field theory (DMFT). We find good agreement with
experimental results for ground state properties (equilibrium lattice parameter
and bulk modulus) and the experimentally measured phonon spectra. We
demonstrate that at temperatures the phonon frequency in the
vicinity of the Kohn anomaly, , strongly decreases.
This is in contrast to DFT where this frequency remains essentially constant in
the whole temperature range. Apparently correlation effects reduce the
restoring force of the ionic displacements at low temperatures, leading to a
mode softening.Comment: minor revision
Hidden attractors in fundamental problems and engineering models
Recently a concept of self-excited and hidden attractors was suggested: an
attractor is called a self-excited attractor if its basin of attraction
overlaps with neighborhood of an equilibrium, otherwise it is called a hidden
attractor. For example, hidden attractors are attractors in systems with no
equilibria or with only one stable equilibrium (a special case of
multistability and coexistence of attractors). While coexisting self-excited
attractors can be found using the standard computational procedure, there is no
standard way of predicting the existence or coexistence of hidden attractors in
a system. In this plenary survey lecture the concept of self-excited and hidden
attractors is discussed, and various corresponding examples of self-excited and
hidden attractors are considered
A Frequency-Domain Criterion for Global Stability of Systems with Angular Coordinates
 
LDA+DMFT computation of the electronic spectrum of NiO
The electronic spectrum, energy gap and local magnetic moment of paramagnetic
NiO are computed by using the local density approximation plus dynamical
mean-field theory (LDA+DMFT). To this end the noninteracting Hamiltonian
obtained within the local density approximation (LDA) is expressed in Wannier
functions basis, with only the five anti-bonding bands with mainly Ni 3d
character taken into account. Complementing it by local Coulomb interactions
one arrives at a material-specific many-body Hamiltonian which is solved by
DMFT together with quantum Monte-Carlo (QMC) simulations. The large insulating
gap in NiO is found to be a result of the strong electronic correlations in the
paramagnetic state. In the vicinity of the gap region, the shape of the
electronic spectrum calculated in this way is in good agreement with the
experimental x-ray-photoemission and bremsstrahlung-isochromat-spectroscopy
results of Sawatzky and Allen. The value of the local magnetic moment computed
in the paramagnetic phase (PM) agrees well with that measured in the
antiferromagnetic (AFM) phase. Our results for the electronic spectrum and the
local magnetic moment in the PM phase are in accordance with the experimental
finding that AFM long-range order has no significant influence on the
electronic structure of NiO.Comment: 15 pages, 6 figures, 1 table; published versio
Theory of vortex states in magnetic nanodisks with induced Dzyaloshinskii-Moriya interactions
Vortex states in magnetic nanodisks are essentially affected by
surface/interface induced Dzyaloshinskii-Moriya interactions. Within a
micromagnetic approach we calculate the equilibrium sizes and shape of the
vortices as functions of magnetic field, the material and geometrical
parameters of nanodisks. It was found that the Dzyaloshinskii-Moriya coupling
can considerably increase sizes of vortices with "right" chirality and suppress
vortices with opposite chirality. This allows to form a bistable system of
homochiral vortices as a basic element for storage applications.Comment: 8 pages, 8 figure
EVALUATION OF SUBMERGED HEALING OF COLONIC ANASTOMOSES IN SURGICAL HOSPITAL
Thus, the main causes of «hand technique» anastomosis by invagination are technical defects of the intervention in telescopic anastomosis by invagination and the ischemic disorders in colorectal anastomosis by invagination. 48 patients were operated on the colon and rectum with «hand technique» anastomosis. Invalidated «manual technique» anastomosis after 70 days of the formation were fully functional, and processes of healing and morphological transformation of mucosa were completed
Change in stability of solid solution at radiation influence
Stability of solid solution at radiation influence has been investigated. Expressions for diffusion streams of binary alloy components, which specify the existence of temperature interval in which the phenomenon of ascending diffusion of elements is observed, were received. Vacancy characters of diffusion, configuration entropy, and potential energy of atomic bonds were considered at derivation. The ascending diffusion testifies to stability infringement of homogeneous solid solution - stratification. Influence of radiation is connected with increase in concentration of vacancies which changes the energy of atomic bonds and, simultaneously, accelerates diffusion processes. The condition of alloy stability with regard to stratification at radiating influence was obtaine
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