Nanoscale physics

Theoretical study of the interactions inside the system of N nanoparticles
Rusinchuk N.1, Lozovski V.1,2 
1 Institute of High Technologies, Taras Shevchenko National University of Kyiv, Glushkova ave., 4g, Kyiv-03187, Ukraine. 
E-mail: n.m.rusinchuk@gmail.com
2V.E. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Adsorption of one nanoparticle onto another or onto some configuration of the nanoparticle is an important problem of modern nanoscience. Furthermore, the studies of the interaction between nanoparticles of different nature are part of wide investigations of the systems of nanoparticles and bio-objects – viruses [1], microbes [2], and biomolecules. Theoretical models are mainly constructed for pair interactions between two nanoparticles. However, dispersion interactions are not additive, so it is impossible to model interactions in the many-particles system just via summation of pair interactions. Hence, the study of mutual adsorption in the system of nanoparticles is the actual problem that is considered in the present work. In the work we consider the system consisting of N nanoparticles and study the interactions inside the system. We suppose the reason for the interactions is the fluctuating field (vacuum fluctuations) and fluctuating dipole moments inside the nanoparticles caused by temperature oscillations of the atoms and electron densities inside the particles. In the work, we propose an equation for the interaction potential of three nanoparticles, based on the model for two nanoparticles [3], and present results of numerical calculations for different systems, demonstrating the non-additivity of such interactions.
This work was funded by the National Research Foundation of Ukraine, Project 2020.02/0352.

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