https://doi.org/10.1140/epjb/e2006-00014-4
Efficiency dynamics on scale-free networks with tunable degree exponent
1
Department of Physics, Wuhan University, Wuhan 430072,
P.R. China
2
Department of Physics, Jianghan University, Wuhan
430019, P.R. China
Corresponding author: a xwzou@whu.edu.cn
Received:
21
July
2005
Revised:
9
October
2005
Published online:
19
January
2006
A model, introduced earlier for the dynamics of a generic efficiency measure in a population of agents by Majumdar and Krapivsky (Phys. Rev. E 63, 054101 (2001)), is investigated on scale-free networks whose degree distribution follows a power law with the tunable exponent γ. The model shows a delocalization transition from a stagnant phase to a growing one when decreasing the degree exponent γ of scale-free networks. By taking into account the specific dynamical properties of the model and the geometrical properties of scale-free networks, we predict the appearance of this critical transition. This work is useful for understanding these kinds of transitions occurring in many dynamical processes on scale-free networks.
PACS: 89.75.Hc – Networks and genealogical trees / 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 87.23.Ge – Dynamics of social systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
