2023-Sustainable Industrial Processing Summit
SIPS2023 Volume 13. 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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FRENKEL-KONTOROVA MODEL - CONSTRUCTION OF THE GROUND STATE
Alexander Filonov1; Aleksandr Ivanenko2;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: 474
Topic: 38
Abstract:
By constructing graphs of the function β(x1): - with K = 5, 10, 20, 40... - the structural components of the FK model are analyzed with an assessment of the exponential increase in the accuracy of calculations of the ground state, depending on the length of the chain. In [1], solutions to the ground state of the FK model (“NSU Ladders”) were constructed only for N<100, the positions of each CH atom were determined with an accuracy of 10-15. In the future, for the most complete identification of the boundary effects of the FK model, it is necessary to construct graphs with N>104 (V0<0.01). In this case, the positions of each CH atom will have to be determined with an accuracy of better than 10-1500.