The interplay of diffusion and heterogeneity in nucleation of the networked Ising model

Chuansheng Shen,Hanshuang Chen

Figure 4. Average relative size of the largest $\langle {S}_{\max }/\lambda \rangle $ (solid lines) and second-largest ⟨S2/λ⟩ (dashed lines) nucleating clusters as a function of the order parameter λ for different topology networks with and without activity. ⟨ · ⟩ represents averaging over the ensemble at each interface. (a) Regular ring network WS(0), inset: same plot for the largest and second largest nucleating clusters zoomed into small values of λ at the very early nucleation stage. (b) Small world network WS(0.1). (c) Random network WS(1), and (d) BASF network. The color coding is the same for the first- and second-largest clusters with respect to the active and inactive model. Vertical dashed lines mark the locations of critical nucleus with and without diffusion. Other parameters are the same as figure 1.