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Department of Theoretical Physics, Institute of Magnetism

Fields of Research

Theory of Magnetism
- Kinetic theory of magnons, solitons and breathers in the integrable magnetic systems along with their kinetic coefficients are formulated.
- Theory of the exchange relaxation of nonlinear magnetic waves in ferromagnets is developed.
- New methods to study the magnetic valve effect for layered magnetic structures are proposed.

Modern problems of Solid State Physics
- Optimal methods to protect the Josephson analyzer head against to intensive electromagnetic radiation are proposed by means of magnetic and superconductor materials.
- Interaction effects of the intensive spin and electromagnetic waves in ferromagnets in vicinity of orientational phase transition are studied and the self-focusing and transverse modulation of electromagnetic waves is predicted in this case.
- An influence of acoustic waves on the orientational phase transition is shown can change the type of the phase transition.
- Statistical termodynamics, electronic and strain-induced properties of the lattice systems with the long-range interatomic interactions. Elaboration of the methods for calculations of the interatomic interaction (force and energy) parameters of statistical-thermodynamic description of the lattice system on the basis of the electronic theory (within the cluster modelling by Xa-SW method and FLAPW method for the calculations of the electronic structure of solids) taking into account the lattice distortions caused by the impurity components of system. Calculations of the Fourier components of the interatomic potentials and strain-induced effects in substitutional (e. g. Fe-Cr), interstitial (e. g. Fe-N, Fe-C) and substitutional-interstitial (Fe-Cr-N and Fe-Cr-C) alloys. Calculations of the short-range order parameters and their Fourier components, configuration correlation radia for above-mentioned alloys. Analysis of the relation between the structural and mechanical properties of Fe-based alloys. Elaboration of recommendations as for compositions.
- Investigation of the electronic structure of complex oxides with the perovskite type structure. Interpretation of the experimental results (including XPS and X - ray emission and absorbtion spectra). HTS compounds (YBa2Cu3O7±d); Compounds A1-xMexMnO3 (A=La,Pr; Me=Sr,Ca,K); Compounds ATiO3 (A=Ba,Pb); Superionics compounds La1-xLixTiO3.
- A new cluster method to calculate the thermodynamic potential of the Ising model is proposed.

Mathematical Physics
- Theory of phase transition is formulated in terms of stable random variables by Levy.
- A theory of addition of the Kleinian hyperelliptic functions is developed and then applied to the integrabilityproblem of nonlinear partial differential equations of evolution type
- In the long Josephson junction a transmission of two-phase nonlinear electromagnetic waves is studied and the appropriate volt-ampear characteristics are built by means of the Riemannian theta-functions.

Studies concerned with the Chernobyl catastrophe
- Program package, which realize multi-dimensional modeling methodology.
- Tool for 3D-mathematical modelling which is founded on principles of self-organisation allow us to construct sufficiently reliable 3D models of different geochemical and geophysical parameters on data with real level noise. This can be, for instance, a regional 3D model of fields of radionuclei pollutions or distribution of other geophysical parameters. All these sources of information are being included, by applying different confidence weights. These weights must reflect the reliability of data. Arbitrarily oriented sections of the parameters distribution are rather conveniently extracted from 3D model. Thus, the model not only serves as a regional data base for parameters, but also provides a tool for deeper studying of multi-dimentional fields. This would be for instance especially useful for the making of right decisions during the liquidation of the consequences of global catastrophes, such as Chernobyl, which cause the contamination of environment.

INSTITUTE OF MAGNETISM NASU and MESYSU 2013