Projects

National

Teoretické štúdium frustrovaných magnetických systémov
Theoretical study of frustrated magnetic systems
Program: SRDA
Project leader: RNDr. Jurčišin Marián, PhD.
Duration: 1.7.2021 – 30.6.2025
Anomálne škálovanie v turbulentných systémoch s narušenou symetriou
Anomalous scaling in turbulent systems with symmetry breaking
Program: VEGA
Project leader: RNDr. Jurčišin Marián, PhD.
Annotation: Turbulent behavior belongs among basic properties of various macroscopic physical, chemical, biological,social-economical, financial, as well as environmental systems. Typical well-known examples of turbulent motionsare various atmospheric phenomena (tornadoes, hurricanes, cyclones, etc.), turbulent streams in rivers andoceans, and turbulent motions in electrically conductive environments (motion of the outer earth core, solar wind,etc.) . The main task of theoretical investigations of turbulent systems is, first of all, the understanding offundamental physical properties of turbulent flows that are common for all turbulent systems and which couldpotentially be applied in technical praxis in the future. In this respect, the main aim of the project is theinvestigation of the influence of breaking of various symmetries of developed turbulent environments on theproperties of the anomalous scaling of correlation functions of fluctuating fields as well as on universalcharacteristics of turbulent systems.
Duration: 1.1.2021 – 31.12.2024
Štúdium univerzálnych vlastností difúznych procesov v turbulentných prostrediach
Study of universal properties of diffusion proceses in turbulent environments
Program: VEGA
Project leader: RNDr. Jurčišin Marián, PhD.
Annotation: One of the basic attributes of macroscopic physical, chemical, biological, and also social-economical and environmental systems is their stochasticity. This fact is the main reason for present intensive scientific interest about various stochastic systems. Advection of various admixtures in random environments, turbulence and magnetohydrodynamic turbulence, or crossing of cosmic particles through interstellar space, are typical examples. The importance of intensive Investigation of these problems is dictated by need for fundamental understanding of the physical nature of phenomena which are involved in them, as well as from the point of view of their potential future applications in technical praxis. The aim of the project is the study of the anomalous scaling of structure and correlation functions of fluctuating fields in turbulent systems without and with symmetry breaking, as well as the study and the calculation of universal characteristics of such turbulent systems.
Duration: 1.1.2017 – 31.12.2020
Štúdium vlastností turbulentných prostredí s narušenými symetriami
(Study of properties of turbulent environments with symmetry breaking
Program: VEGA
Project leader: RNDr. Jurčišin Marián, PhD.
Annotation: The fact that the stochasticity belongs among basic attributes of macroscopic physical, chemical, biological, and also social-economical and environmental systems is the main reason for present intensive scientific interest about stochastic systems. Advection of an admixture in random environments, crossing of cosmic particlesthrough interstellar space, turbulence and MHD turbulence are typical examples. Investigation of these problems is important for understanding of the physical nature of phenomena which are involved in them, as well as from the point of view of their future applications in technical praxis. The aim of the project is to study the anomalous scaling of correlation functions of fluctuating fields in turbulent systems with symmetry breaking, to calculate universal parameters of turbulent systems (e.g., the turbulent Prandtl number) and to analyze the helical MHD turbulence from the point of view of generation of homogeneous macroscopic magnetic field.
Duration: 1.1.2013 – 31.12.2016
Štúdium anomálneho škálovania v stochastických a turbulentných systémoch s narušenými symetriami
Study of anomalous scaling in stochastic and turbulent systems with symmetry breaking
Program: VEGA
Project leader: prof. Dr.h.c. RNDr. Hnatič Michal, DrSc.
Annotation: At present stochastic systems attract intensive interest of scientists. This interest is based on the fact that stochasticity belongs to the basic attributes of macroscopic physical, chemical, biological and, moreover, social-economical systems. Advection of admixtures in random environment (pollutants in the atmosphere of theEarth), crossing of cosmic particles through interstellar space, developed (magneto)hydrodynamic turbulenceare typical examples of stochastic systems.It is just the study of the aforementioned physical systems that will form the core of the project.Anomalous scaling is a crucial and universal feature of stochastic systems. Calculation of representativeparameters of the systems like effective viscosity, Prandtl number, Kolmogorov constant etc. forms an important part of scientific interest.Calculation of anomalous exponents and parameters of the systems with symmetry violation will be the basic objective of the project.
Duration: 1.1.2009 – 31.12.2012
CKV – Centrum kozmických výskumov: vplyvy kozmického počasia
Center of Space Research: influence of space weather
Program: EU Structural Funds Research & Development
Project leader: Prof. Ing. Kudela Karel, DrSc.
Duration: 24.4.2009 – 31.8.2012