Investigation of Particle Momentum Distributions in Nanoscale Systems

Student: Komarova Marina

Supervisor: Roman Bystryi

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Mathematical Methods of Modelling and Computer Technologies (Master)

Final Grade: 9

Year of Graduation: 2021

The momentum particle distribution in the microcanonical ensemble differs from the classical Maxwell distribution. This paper suggests a numerical study of this difference. This project pays much attention to the design of the molecular dynamics experiment. This work suggests a few ways of data analysis. A significant difference between the empirical distribution and the Maxwell distribution was found. The empirical distribution tail is сutted off. Our empirical results are compared with previously known theory. The strong influence of the density of matter on the shape of the distribution is shown.

Full text (added May 23, 2021)

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