H. Singh et al., ATOM AS A COMPLEX SYSTEM - ONE-DIMENSIONAL AND 2-DIMENSIONAL CELLULAR-AUTOMATA SIMULATIONS, International journal of quantum chemistry, 60(1), 1996, pp. 21-28
One- and two-dimensional cellular automata (CA) simulations of neutral
''atoms,'' viewed as ''complex'' distributions of electron density ar
ound a central nucleus, are performed in order to explore CA-based dis
cretized and connectionist approaches to the synthesis and structure-d
ynamics problems of many-electron systems. A link between CA and the q
uantum 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 arise
s out of a natural stability criterion described through CA rules. (C)
1996 John Wiley & Sons, Inc.