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An Analytical Solution to the Problem of Hydrogen Isotope Passage through Composite Membranes Made from 2D Materials

by ¹ , ² , ^2,* ORCID and ³

Regional Scientific and Educational Mathematical Center, Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia

Department of Mechanics, Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia

Department of Applied Mathematics, School of Engineering & Applied Sciences, National University of Mongolia, Centre for Fundamental Research of Mongolian University of Science and Technology, 3 Ikh Surguuliin Gudamj, Sukhbaatar District, Ulanbaatar 14201, Mongolia

Author to whom correspondence should be addressed.

Academic Editor: Christopher Goodrich

Received: 4 August 2021 / Revised: 2 September 2021 / Accepted: 16 September 2021 / Published: 22 September 2021

Abstract

An analytical solution to the problem of wave transport of matter through composite hyper-fine barriers is constructed. It is shown that, for a composite membrane consisting of two identical ultra-thin layers, there are always distances between the layers at which the resonant passage of one of the components is realized. Resonance makes it possible to separate de Broiler waves of particles with the same properties, which differ only in masses. Broad bands of hyper-selective separation of a hydrogen isotope mixture are found at the temperature of 40 K. View Full-Text

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MDPI and ACS Style

Bubenchikov, A.M.; Bubenchikov, M.A.; Chelnokova, A.S.; Jambaa, S. An Analytical Solution to the Problem of Hydrogen Isotope Passage through Composite Membranes Made from 2D Materials. Mathematics 2021, 9, 2353. https://doi.org/10.3390/math9192353

AMA Style

Bubenchikov AM, Bubenchikov MA, Chelnokova AS, Jambaa S. An Analytical Solution to the Problem of Hydrogen Isotope Passage through Composite Membranes Made from 2D Materials. Mathematics. 2021; 9(19):2353. https://doi.org/10.3390/math9192353

Chicago/Turabian Style

Bubenchikov, Alexey M., Mikhail A. Bubenchikov, Anna S. Chelnokova, and Soninbayar Jambaa. 2021. "An Analytical Solution to the Problem of Hydrogen Isotope Passage through Composite Membranes Made from 2D Materials" Mathematics 9, no. 19: 2353. https://doi.org/10.3390/math9192353

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