Finite density scaling laws of condensation phase transition in zero-range processes on scale-free networks
Su Guifeng1, Li Xiaowen1, Zhang Xiaobing2, Zhang Yi1, †
       

The presence of the finite density effect in the crossover degree ratios kc(ρ)/kc(ρ = 2) versus the parameter δ with an SF network size L = 4000, for various densities ρ = 1 (black open diamonds and solid line), 5 (blue open triangles and solid line), and 10 (red open squares and solid line), respectively. The solid lines correspond to the theoretical calculation and the symbols to the MC simulation data. Note that kc’s do not exist in regime δ > δc (δc = 0.5 is the vertical red dotted dash line) for ρ = 5 and ρ = 10 due to the lower bound of degree kmin, two theoretical dashed lines are only formally drawn in that region.