The movement of molecules and nanoparticles in potential field with the Casimir force in nano volumes with different optical boundaries

Uvarova, L. A.; Babarin, Sergey

doi:10.1088/0031-8949/2014/t162/014053

Cited by 5 publications

(1 citation statement)

References 9 publications

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“…Thus, flat parallel surfaces produce activation of the Casimir force that generates an additional contribution to the net interaction energy. It can cause deformations, structural surface instabilities [8].…”

Section: Introductionmentioning

confidence: 99%

Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes

Uvarova

Babarin

2019

Journal of Applied Mathematics

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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.

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Section: Introductionmentioning

confidence: 99%

Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes

Uvarova

Babarin

2019

Journal of Applied Mathematics

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The mathematical modeling of cluster dynamics under the effect of electromagnetic field

Kalutskov¹,

Uvarova²

2020

International Conference of Numerical Analysis and Applied Mathematics Icnaam 2019

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Impact of the Casimir force on components of fiber optics connections: theory and modeling study

Babarin,

Uvarova,

Karpov

et al. 2024

Nano-Optoelectronics and Micro/Nano-Photonics X

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Quantum effects, which become dominant at the nano-and molecular scales, are critically important for optical fiber connections and optical devices and systems, which are immune to electromagnetic interference. Optical nanodevices such as nanorobots, nanomotors and plane parallel elements of optical nanosystems subject to the Casimir force which may lead to uncontrolled changes in the optical properties and data transmission errors. In this work, we investigate the impact of the Casimir force on individual components of optical systems and determine the extent at which it affects charge distributions and orbital energies and leads to excited states causing considerable variations in the optical properties. Numerical simulations were carried out using a mathematical model, which based on LCAO and a numerical solution of the Schrödinger equation using the Hartree-Fock method, with the Casimir force being included in the operators of exchange interactions for the nuclei and electrons. Computational experiments were performed for the main components of glass surfaces, such as SiO2, Na2CO3 and CaO. We found that the strongest effect of Casimir force in the case of SiO2 and the foil surface, while Na2CO3 is the least sensitive to the Casimir force, with CaO being in between the former two. Acrylic and polystyrene surfaces showed a similar smaller effect on the system energy compared to foil Cases, in which the Casimir force can lead to significant variations in optical properties and data transmission errors, were studied and its use in the design and calibration of optical devices with controlled properties was explored.

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The movement of molecules and nanoparticles in potential field with the Casimir force in nano volumes with different optical boundaries

Cited by 5 publications

References 9 publications

Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes

Statistical Distributions of Physical Characteristics of Molecules with Casimir Force in the Transfer of Admixtures in Nanoscale Volumes

The mathematical modeling of cluster dynamics under the effect of electromagnetic field

Impact of the Casimir force on components of fiber optics connections: theory and modeling study

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