Nonlineair Dynamics in Nanosystems: Flux Quanta in Nanostructured Superconductors, Colloids, Nanocluster.

Nanotechnology will be the technology of the 21st century. The major industrialized countries are comprehensively intensifying their research in material sciences with a focus on nanotechnology. Quantum-mechanical principles in nano-structured materials respresent one of the most exciting fields of modern physics. Nano-structured superconductors (NSSC) play a special role due tot the macroscopic quantum state of the superconducting charge carriers and the appearance of quantized flux lines (vortices), which develop in the presence of a magnetic field.The proposed research is devoted to the in-depth study of the nonlineair dynamics of flux qaunta in NSSC and includes several related and interdisciplinary topics. Main targets are:-Implementation of new approaches to study the nonlineair dynamics of flux quanta in NSSC. Creation of new efficient ways to control the flux motion and critical parameters of NSSC.-Understanding of the nonlineair dynamics of antivortices in NSSC. Elaboration of a proposal for their dynamical experimental verification.-Understanding and calculation of the behavious of the critical temperature on the size and shape of superconducting nanograins.-Study of the nonlineair dynamicq and the principles of self-assembly of colloidal binary mixtures.-Understanding of the growth kinetics of nanoclusters, influence of the environment, surface formation, etc.

Keywords:SUPERCONDUCTORS, DYNAMICAL SYSTEMS, NANOCLUSTERS

Disciplines:Applied mathematics in specific fields, Astronomy and space sciences, Classical physics, Materials physics, Mathematical physics, Quantum physics