Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-01-04
Chin.Phys.Lett.24, 557 (2007)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures. minor modifications. Comments and suggestions are favored by the authors
Scientific paper
We investigate the dynamics of random walks on weighted networks. Assuming that the edge's weight and the node's strength are used as local information by a random walker, we study two kinds of walks, weight-dependent walk and strength-dependent walk. Exact expressions for stationary distribution and average return time are derived and confirmed by computer simulations. We calculate the distribution of average return time and the mean-square displacement for two walks on the BBV networks, and find that a weight-dependent walker can arrive at a new territory more easily than a strength-dependent one.
Wang Ying-Hai
Wu An-Cai
Wu Zhi-Xi
Xu Xin-Jian
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