EPJ Web Conf.
Volume 248, 2021V International Conference “Modeling of Nonlinear Processes and Systems“ (MNPS-2020)
|Number of page(s)||7|
|Section||Mathematical Models in Natural Sciences|
|Published online||26 April 2021|
Probabilities of Atomic Departures from the Slit System
Dep of General scientific disciplines, Tver State Technical University, RU-170036, Tver, Russia Russia
Published online: 26 April 2021
The theoretical description of experimental data on transport in open systems has been of interest for more than a hundred years. Boltzmann proposed a new view of the transfer of matter. Now it is possible to describe the transfer processes from a microscopic point of view. The solution of the Boltzmann equation and the equations derived from it is a complex problem related to the mathematical problems of solving such equations. On the other hand, the complexity of the solution is related to the geometry of the system in which the transfer process takes place. Fundamental physical calculations are made for systems: flat, slotted, cylindrical, rectangular, etc. In the free molecular mode of gas flow, collisions of molecules occur mainly with the walls of systems. In this connection, there was a direction related to the calculation of the probabilities of atomic transport in the system. In this paper, we propose an approach for determining the probabilities of atomic outcomes from slit systems depending on the relative height of the walls of H systems. Exact formulas are obtained for calculating the probabilities of atomic departures from systems without colliding with walls, the distribution of atomic collisions over the height of the system wall, the probabilities of atoms entering the condensed phase after a single collision with the system walls, and the probabilities of atomic departures from systems after a single collision with walls. The accuracy of the obtained formulas was compared with the data obtained from computer experiments using the Monte Carlo method.
© The Authors, published by EDP Sciences, 2021
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