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CONTINUOUS TIME RANDOM WALKS WITH MOMENTLESS WAITING TIME DISTRIBUTIONS |
| WEN Chao;LIU Fusui* |
| Department of Applied Mathematics - Physics, Northern Jiaotong University, Beijing
*Department of Physics, Peking University, Beijing |
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| Cite this article: |
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WEN Chao, LIU Fusui 1986 Chin. Phys. Lett. 3 429-432 |
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Abstract Continuous time random walk (CTRW) is studied in the case of momentless waiting time distributions with long-time tail t-α, 0 < α < 1. It is found that the hopping event set is a well defined random fractal whose fractal (Hausdorff) dimension is α, and if one quantity of discrete time random walk R(n) [e.g., S(n) the number of distinct sites visited up to step n ] has scaling exponent β > 0, then its corresponding quantity of CTRW R(T) (e.g., S ( t ) the number of distinct sites visited up to time t) has scaling exponent αβ.
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Published: 01 September 1986
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