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

Alexey Mikhailovich Bubenchikov, Mikhail Alekseevich Bubenchikov, Anna Sergeevna Chelnokova and Soninbayar Jambaa
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Alexey Mikhailovich Bubenchikov: Regional Scientific and Educational Mathematical Center, Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia
Mikhail Alekseevich Bubenchikov: Department of Mechanics, Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia
Anna Sergeevna Chelnokova: Department of Mechanics, Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia
Soninbayar Jambaa: 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

Mathematics, 2021, vol. 9, issue 19, 1-10

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.

Keywords: wave dynamics; compound barriers; resonant transmission; the Schrödinger equation; analytical solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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