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- Title
Efficiency dynamics on scale-free networks with tunable degree exponent.
- Authors
Shao, Z.-G.; Sang, J.-P.; Tan, Z.-J.; Zou, X.-W.; Jin, Z.-Z.
- Abstract
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.
- Subjects
DYNAMICS; COMMUNICATION; COMPUTER networks; PROBABILITY theory; MONTE Carlo method
- Publication
European Physical Journal B: Condensed Matter, 2005, Vol 48, Issue 4, p587
- ISSN
1434-6028
- Publication type
Article
- DOI
10.1140/epjb/e2006-00014-4