2023-Sustainable Industrial Processing Summit
Intl. Symp on Physics, Mathematics and Multiscale Mechanics
| Editors: | F. Kongoli, A. B. Bhattacharya, A.C. Pandey, G. Sandhu, F. Quattrocchi, L. Sajo-Bohus, S. Singh, H.S. Virk, R.M. Santilli, M. Mikalajunas, E. Aifantis, T. Vougiouklis, P. Mandell, E. Suhir, D. Bammann, J. Baumgardner, M. Horstemeyer, N. Morgan, R. Prabhu, A. Rajendran |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2023 |
| Pages: | 298 pages |
| ISBN: | 978-1-989820-96-4 (CD) |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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PROSPECTS FOR THE DFK MODEL
Alexander Filonov1; Lyudmila Kveglis2; Artur Abkaryan2; Evgeniy Artemyev2;1INSTITUTE OF NONFERROUS METALS AND MATERIALS SCIENCE SIBERIAN FEDERAL UNIVERSITY KRASNOYARSK PR. IMENI GAZETY KRASNOYARSKII RABOCHII 95 RUSSIAN FEDERATION, Красноярск, Russian Federation; 2INSTITUTE OF ENGINEERING PHYSICS AND RADIOELECTRONICS, SIBERIAN FEDERAL UNIVERSITY, Krasnoyarsk, Russian Federation;
Type of Paper: Regular
Id Paper: 483
Topic: 38
Abstract:
The FK model [1] was successfully applied to the description of incommensurate phases and charge density waves [2]. Less successful in describing amorphous phases in CoPd alloys [3] and completely unsuccessful in analyzing solid-phase reactions [4] and structures with high-temperature superconductivity.
The prospects of the DFK model are primarily related to temperature effects in binary alloys:
1. At T> Tc, the size of the high-temperature grain L0 is not limited by anything, L0 >> L. Perhaps this explains the “Shape Memory Effect”, when the shape of the high-temperature phase sample is remembered.
2. c - the period of the crystal lattice of the AB alloy with the elasticity coefficients of the sublattices (λ, κ) is equal to: 
. Perhaps this formula explains the “Invar Effect”, when by heating a sample does not expand, and sometimes even contracts.
3. From the analysis of the states of “charge density waves” [2], we assume, that we are talking about waves of “exciton density”, then from the DFK model, the chemical formulas of crystallites for alloys with high temperature superconductivity should be given by the formulas AxB1-xC with disparity parameters x ≈ 0.70; 0.89, etc.
Keywords:
FK model; Development; High temperature superconductivityReferences:
[1] Ya.I. Frenkel, T. Kontorova JETP, 8, 1340, (1938)[2] O.M. Braun, Y.S. Kivshar. The Frenkel-Kontorova Model, Springer (2004)
[3] V.G. Myagkov, V.S. Zhigalov "Solid-phase reactions and phase transformations in layered nanostructures." Novosibirsk, Publishing House SB RAS, 2011, 156 pp.
[4] E.M. Artemyev, M.E. Artemyev, JETP Letters, 2007, volume 86, issue. 11