Anomalous scaling in anisotropic turbulent environments

Theoretical investigation of a combined influence of anharmonic lattice vibrations, external magnetic field and pressure on magnetic properties of localized spin systems. supervisor: prof. RNDr. Michal Jaščur, PhD. study form: full time Annotation: The theoretical and experimental investigation of magnetic properties of various physical systems under simultaneous influence of different external fields represents an interesting research subject of current condensed matter theory. However, one should emphasize here that the standard statistical-mechanical approach using a suitable statistical ensemble is not straightforwardly applicable to the solving of this problem because of a huge mathematical complexity of relevant calculations. The main aim of the dissertation is therefore to apply simple self-consistent theories developed recently in [1-3] in order to investigate the combined influence of static (elastic) potential energy, anharmonic lattice vibrations, external magnetic field and pressure on magnetic properties of various localized spin systems. It is expected that such a complex theory may predict some new physical phenomena originated by competing effects of all relevant contributions to the total energy of the investigated systems. 1] T. Balcerzak, K. Szalowski and M. Jaščur, J. Phys.: Condens. Matter 22 (2010) 425401. [2] T. Balcerzak, K. Szalowski and M. Jaščur, J. Appl. Phys. 116 (2014) 043508. [3] T. Balcerzak, K. Szalowski and M. Jaščur, J. Magn. Magn. Mat. 426 (2017) 310.