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Fig. Appendix Figure 2 (2) Relationship between ratioh and z . (A) ρ=1024 , (B) ρ=256 . Blue line: ratioh calculated numerically. Red line: 100-order expansion of Equation S104, which perfectly overlaps with the blue line. Green line: expansion to the first order. Other parameter: μ=0.5 , d=2 , ϵ=0.03125 . (C) Relationship between ρϵd and dimension d with fixed μd Equation S108.
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