Comparison of SDL and LMC measures of complexity: Atoms as a testbed

Abstract

The "simple" measure of complexity of Shiner, Davison and Landsberg (SDL) and the "statistical" one, according to Lopez-Ruiz, Mancini and Calbet (LMC), are compared in atoms as functions of the atomic number Z. Shell effects i.e. local minima at the closed shells atoms are observed, as well as certain qualitative trends of SDL and LMC measueres of complexity. If we impose the condition that SDL and LMC behave similarly as functions of Z, then we can conclude that complexity increases with Z and for atoms the strength of disorder is zero and order is four.