Qinfu Li

Three Layers in the Classification of Complex-System Phase Transitions Thermodynamic, Spatial, and Engineering Criteria

Abstract The first version classified complex-system transitions into two kinds by the dynamical scaling law the transition itself follows. The second withdrew that naming and gave a three-layer classification. The third made five corrections and two completions, one of which reb...

Three Layers in the Classification of Complex-System Phase Transitions Thermodynamic, Spatial, and Engineering Criteria

Abstract The first version classified complex-system transitions into two kinds by the dynamical scaling law the transition itself follows. The second withdrew that naming and gave a three-layer classification. The third made five corrections and two completions, one of which reb...

The Discriminating Power of Shape Comparison in Rank Space A Quantitative Calibration of the Ordering–Fitting Method

Abstract Sort a set of quantities in descending order, fit the resulting (rank, value) curve with four families of functions — linear, logarithmic, exponential and power law — and take the one with the highest coefficient of determination as the "shape" of the series. This orderi...