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As part of the development of international cooperation, an international online summer school for students was organized from March 30 to April 29, 2026, on the topic “Methods for Modeling Plasma Properties and Nanoclusters.”

The summer school was held in collaboration with CNRS and the Paris Polytechnic Institute (France). Within the program, Professor Holver Wah delivered lectures introducing participants to modern research directions in plasma physics and nanotechnology.

The main objective of the event was to familiarize students from Kazakhstan and France with modern numerical methods used in plasma and nanocluster modeling, as well as the fundamentals of machine learning.

During the lectures, physical models of plasma systems, interaction mechanisms in many-particle systems, and numerical modeling approaches were discussed. Particular attention was given to the Molecular Dynamics method used to study the dynamic, optical, and transport properties of nanoclusters. Key statistical measures, including mean square displacement and the velocity autocorrelation function, were also analyzed, along with their role in determining transport properties. These methods enable the connection between microscopic dynamics and macroscopic system parameters.

For practical computations, the LAMMPS software package was introduced, demonstrating the principles of many-particle system modeling, potential selection, and numerical experimentation. In addition, machine learning techniques were considered for data processing, pattern recognition, and prediction of complex system properties.

The final stage of the summer school had an applied focus. Practical sessions addressed the physical properties of ultra-stable silicon clusters and their applications in modern technologies. Special emphasis was placed on their properties in the terahertz (THz) range and their potential use in high-frequency devices. The physical operating principles of satellite propulsion systems, including plasma and ion thrusters, were also analyzed.

Participants included students from the Department of Plasma Physics, Nanotechnology and Computer Physics, as well as students from Paris Polytechnic Institute. This international collaboration contributed to expanding scientific perspectives, enhancing academic mobility, and promoting knowledge exchange.

The summer school was organized by Academician T.S. Ramazanov, Professor Boufendi L., and Head of the Department S.K. Kodanova. The initiative aligns with the United Nations Sustainable Development Goals, particularly SDG 4 “Quality Education” and SDG 17 “Partnerships for the Goals.”

In conclusion, the summer school served as an effective platform for mastering modern scientific methods, developing research and digital skills, and integrating students into the global scientific community.