Project title: Mathematical modeling and simulations of physical systems
Acronym: MaMoS
Project identifier: IP-UNIST-46
Type of project: Research Project
Funding body: Europska unija – program NextGenerationEU
Project duration: until 30. 09. 2029..
Summary: The project is focused on mathematical modeling of physical systems and the optimization of methods for solving differential equations with applications on various scales from elementary particle physics, condensed matter to astrophysics. Given the expertise of the team members, the goals are divided into four work packages:
- Analysis of the structure and dynamics of molecular aggregates in water,
- Mathematical and numerical modeling of atomic and electronic systems,
- Development of new methods in elementary particle physics and astrophysics,
- Research in mathematical physics.
The main objectives of the first package are the analysis of the structural and dynamic properties of molecular aggregates in water using computer simulations and the investigation of the reactivity of enzymes that catalyze a chemical reaction.
The second package deals with the investigation of universal properties of systems with a small number of atoms in ultracold mixtures, the investigation of the binding of collective modes in composite electronic systems of different dimensionalities, and the development of algorithms with the application of new approaches such as machine learning.
The main goals of the third package are the development of new methods for measuring the properties of the Higgs boson, the development and testing of new technologies for detectors in high-energy physics, and the comparison and testing of environments with different properties on the creation and formation of brown dwarfs in young star clusters.
Finally, the fourth package deals with the development of new methods for the analysis of symmetries and the integration of differential equations, the construction of realizations of coordinates of non-commutative spaces in the Weyl-Heisenberg algebra, and the construction of new tensor categories for some affine vertex algebras and W-algebras.