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• W1964062005 abstract "In order to gain insight into whether amorphicity can be interpreted as spatial chaos, we investigate one-dimensional chaotic configurations of atoms. These configurations are generated by the Baker transformation or, equivalently, by the Bernoulli shift, which is characteristic for chaos. We show that the distribution function ${G}_{j}$ of the $j$th nearest-neighbor distances of these configurations is asymptotically (as $jensuremath{rightarrow}ensuremath{infty}$) a Gaussian distribution with a width growing as $sqrt{j}$ (local limit theorem). Furthermore, the pair distribution function $G$ exhibits peaks related to the positions of nearby atoms, but in the limit of large distances these oscillations go to zero, and the pair distribution function converges to a constant, as expected for amorphous solids." @default.
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• W1964062005 date "1984-07-15" @default.
• W1964062005 modified "2023-09-27" @default.
• W1964062005 title "Possibility of interpreting amorphicity as spatial chaos" @default.
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• W1964062005 doi "https://doi.org/10.1103/physrevb.30.917" @default.
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