266 citations
- Tongji UniversityCN18 papers
- China Center of Advanced Science and TechnologyCN9 papers
- Institute of Theoretical PhysicsCN7 papers
- Hunan Normal UniversityCN6 papers
- Shanghai UniversityCN6 papers
- Chinese Academy of SciencesCN5 papers
- Universidade de São PauloBR5 papers
- Institute of Modern PhysicsCN4 papers
- National Dong Hwa UniversityTW4 papers
- Hong Kong University of Science and TechnologyHK3 papers
- Northwestern UniversityUS3 papers
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13 papers · 1 filter
Average distance in a hierarchical scale-free network: an exact solution
Zhongzhi Zhang, Yuan Lin, Shuyang Gao +2
Various real systems simultaneously exhibit scale-free and hierarchical structure. In this paper, we study analytically average distance in a deterministic scale-free network with…
Mean first-passage time for random walks on the T-graph
Zhongzhi Zhang, Yuan Lin, Shuigeng Zhou +2
For random walks on networks (graphs), it is a theoretical challenge to explicitly determine the mean first-passage time (MFPT) between two nodes averaged over all pairs. In this p…
Anomalous behavior of trapping on a fractal scale-free network
Zhongzhi Zhang, Wenlei Xie, Shuigeng Zhou +2
It is known that the heterogeneity of scale-free networks helps enhancing the efficiency of trapping processes performed on them. In this paper, we show that transport efficiency i…
Nonequilibrium Thermodynamics of Time-dependent Langevin Systems: Energy Balance Relation and the Extended Form of the Second Law
Hao Ge
A general nonequilibrium thermodynamic theory is developed for time-dependent Langevin dynamics, starting from the common definition of nonequilibrium Gibbs entropy. It is shown th…
Random walks on the Apollonian network with a single trap
Zhongzhi Zhang, Jihong Guan, Wenlei Xie +2
Explicit determination of the mean first-passage time (MFPT) for trapping problem on complex media is a theoretical challenge. In this paper, we study random walks on the Apollonia…
Exact solution for mean first-passage time on a pseudofractal scale-free web
Zhongzhi Zhang, Yi Qi, Shuigeng Zhou +2
The explicit determinations of the mean first-passage time (MFPT) for trapping problem are limited to some simple structure, e.g., regular lattices and regular geometrical fractals…