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An Exact Numerical Approach to Calculate the First Passage Time for General Random Walks on a Network |
| XIE Yan-Bo1, LI Yu-Jian2, LI Ming1, XI Zhen-Dong2, WANG Bing-Hong1,3,4** |
1Department of Modern Physics, University of Science and Technology of China, Hefei 230026
2Department of Satellite Measurement and Control on Sea of China, Jiangyin 214400
3College of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035
4School of Science, Southwest University of Science and Technology, Mianyang 621010
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| Cite this article: |
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XIE Yan-Bo, LI Yu-Jian, LI Ming et al 2013 Chin. Phys. Lett. 30 110504 |
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Abstract We present an exact numerical method to calculate the mean first passage time for the random walk on the network between any source node and any target which contains an arbitrary number of nodes. For the network with the average degree <k>～O(1) and the effective diameter D ～lnN or less, the efficiency of our numerical approach is found to exceed all other general numerical methods presented in the literature. Our method can also calculate the average of any function of the first passage time, provided it is finite.
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Received: 26 June 2013
Published: 30 November 2013
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| PACS: |
05.40.Fb
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(Random walks and Levy flights)
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89.75.Fb
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(Structures and organization in complex systems)
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02.50.Ga
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(Markov processes)
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