Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes
Joint Authors
Uvarova, Liudmila
Babarin, Sergey
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-14
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this work, we study the statistical properties of molecular systems of admixtures, which are placed in nanoscale volumes like cube or parallelepiped with impermeable surfaces on their walls.
We simulate interactions of free motion of molecules of admixtures with molecules on the surfaces of walls: we modeled them in the form of atomic structure grid using SiO2 as a material.
This type of substance allows us to take into account the manifestation of one of the important quantum effects: Casimir force.
We used its general expression in terms of interaction energy, with the assumption of dependence on distance and projected area between atoms of the wall and atoms of the admixtures.
To model surface roughness we used uniform random distribution function for surface heights (z coordinates).
The results of computational experiments can be used to estimate the distribution of chemical bond lengths, valence, and dihedral angles lengths deviations in polyatomic molecules.
Our model can be useful to determine the stable configuration properties of the system, to solve practical problems in the conditions of physical limitations of nanoscale devices, filtration of admixtures in highly dispersed systems, in the development of mechanisms in structures that have parallel plates or membranes, including porous structures.
Also we compute radial distribution function for multicomponent admixtures including atoms of inert gases, water vapor, and ethanol.
And we took into account the influence of Casimir force on admixtures for cube and parallelepiped type volumes.
In results, we showed distributions of deviations of lengths from their equilibrium values.
American Psychological Association (APA)
Uvarova, Liudmila& Babarin, Sergey. 2019. Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1168922
Modern Language Association (MLA)
Uvarova, Liudmila& Babarin, Sergey. Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes. Journal of Applied Mathematics No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1168922
American Medical Association (AMA)
Uvarova, Liudmila& Babarin, Sergey. Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1168922
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168922