"Atom" as a complex system: one- and two-dimensional cellular automata simulations

Singh, Harjinder ; Sukumar, N. ; Deb, B. M. (1996) "Atom" as a complex system: one- and two-dimensional cellular automata simulations International Journal of Quantum Chemistry, 60 (1). pp. 21-28. ISSN 0020-7608

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1...

Related URL: http://dx.doi.org/10.1002/(SICI)1097-461X(1996)60:1<21::AID-QUA2>3.0.CO;2-7

Abstract

One- and two-dimensional cellular automata (CA) simulations of neutral "atoms", viewed as "complex" distributions of electron density around a central nucleus, are performed in order to explore CA-based discretized and connectionist approaches to the synthesis and structure-dynamics problems of many-electron systems. A link between CA and the quantum mechanics of atoms is made by taking the Thomas-Fermi theory as an illustrative example. Starting from a nonstationary distribution, the stationary distribution of electron density around a nucleus arises out of a natural stability criterion described through CA rules.

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