Expansions of the interatomic potential for different boundary conditions and the transition to the thermodynamic limit
Autor: | Tomchenko, Maksim D. |
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Rok vydání: | 2014 |
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Druh dokumentu: | Working Paper |
Popis: | We analyze the possible expansions of the interatomic potential $U(|\textbf{r}_{1}-\textbf{r}_{2}|)$ in a Fourier series for a cyclic system and a system with boundaries. We also study the transition from exact expansions for a finite system to the expansion that is commonly used in the thermodynamic limit. The analysis shows that such a transition distorts the potential of a bounded system by making it cyclic. Comment: 5 pages, v2: discussions and references changed |
Databáze: | arXiv |
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