Figure 1.

(a) Weight w1 of the largest eigen ensemble matrix with respect to reduced temperature T* = kBT/J. (b) Finite-size scaling form of w1 with respect to tL1/ν, where t = (T − Tc)/Tc."

Figure 2.

(a) Weight w2 with respect to reduced temperature T* = kBT/J. (b) Finite-size scaling form of w2 with respect to tL1/ν, where t = (T − Tc)/Tc."

Figure 3.

(a) Ratio w2/w1 with respect to reduced temperature T* = kBT/J. (b) Finite-size scaling form of w2/w1 with respect to tL1/ν, where t = (T − Tc)/Tc."

Figure 4.

Four sectional drawings with equal distance of eigen microstates U1, U2, and U3 at reduced temperature T* = 5.5116."

Figure 5.

Four sectional drawings with equal distance of U1, U2, and U3 at T* = 4.5116."

Figure 6.

Four sectional drawings with equal distance of U1, U2, and U3 at T* = 3.5116."

Figure 7.

Evolutions of the largest three eigen microstates at T* = 5.5116."

Figure 8.

Evolutions of the largest three eigen microstates at T* = 4.5116."

Figure 9.

Evolutions of the largest three eigen microstates at T* = 3.5116."

Figure 10.

Spatial distributions of the six largest eigen microstates of Earth."

Figure 11.

Evolutions of the six largest eigen microstates of Earth."

Figure 12.

Fourier power spectrum density of evolution for the six largest eigen microstates of Earth."

Figure 13.

Seasonal cycle of EM1 evolution V1."

Figure 14.

(a) The global monsoon area derived by Wang et al [19]. (b) The domain with the spatial absolute intensity above 40% of the maximum absolute intensity in U2."

Figure 15.

(a) The GMI calculated by Wang et al [19]. (b) The difference between summer and winter averages of V2."

Figure 16.

Annual mean sea surface temperature (SST) pattern during 1950-2018. Note that the SST below 26C is removed for clarity."

Figure 17.

Annual mean precipitation pattern during 1979-2018."

Figure 18.

(a) The amplitude of the semiannual oscillation (SAO). (b) The absolute amplitude of U4."

Figure 19.

Comparison between the ONI (red) and the average of V5 over 90 d and with a running step of 30 d (black)."

Figure 20.

Seasonal cycle of the evolution V5 with semi-annual and higher frequency components filtered."

Figure 21.

The largest three eigen microstates U1,U2 and U3 with respect to stocks."

Figure 22.

Evolutions of the largest three eigen microstates V1,V2 and V3."

Figure 23.

Comparison between the evolutions of V1 (black line) and the SSE100 index (red line)."

Figure 24.

Comparison between the evolutions of V2 (black line) and the SSE Energy Sector Index (red line)."

Figure 25.

U2 with respect to stocks in the order of components. The stocks of the SSE Energy Index are marked by red dots."

Figure 26.

Comparison between the evolutions of V3 (black line) and the SSE materials sector index (red line)."

Figure 27.

U3 with respect to stocks in the order of components. The stocks of the SSE Material Index are marked by red dots."

Table A1.

The 51 stocks, which have negative components in U1, are listed below with sectors in industry and values of component."

Table A2.

List of the top 50 stocks with positive components of U2 and sectors in industry. They are closely related to the energy sector of industry."

Table A3.

List of the top 50 stocks with positive components of U3 and sectors in industry. They are closely related to the raw materials sector of industry."