Comparison of SDL and LMC measures of complexity: Atoms as a testbed
Abstract
The simple measure of complexity Γ of Shiner, Davison and Landsberg (SDL) and the statistical one C, according to López-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 Γ(Z) and C(Z). If we impose the condition that Γ and C behave similarly as functions of Z, then we can conclude that complexity increases with Z and for atoms the strength of disorder is α≃0 and order is β≃4.
- Publication:
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Physics Letters A
- Pub Date:
- March 2007
- DOI:
- 10.1016/j.physleta.2006.10.075
- arXiv:
- arXiv:quant-ph/0605082
- Bibcode:
- 2007PhLA..363...78P
- Keywords:
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- Quantum Physics;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems;
- Physics - Atomic Physics
- E-Print:
- 14 pages, 2 figures, revised version, accepted for publiaction in Physics Letters A