Statistical Properties of repeating FRB 121102 [HEAP]

Fast radio bursts (FRBs) are millisecond-duration radio signals possibly occurring at cosmological distances. However the physical model of FRBs is mystery, many models have been proposed. Here we study the frequency distributions of peak flux, fluence, duration and waiting time for repeating FRB 121102. The cumulative distributions of peak flux, fluence and duration show power-law forms. The waiting time distribution also shows power-law distribution, and is consistent with a non-stationary Poisson process. We also use the statistical results to test the proposed models for FRBs. Comparing with the model predications, we find that the theoretical models proposed by Dai et al. (2016) and Katz (2016) are favored. These distributions are consistent with the predications from avalanche models of driven systems.

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F. Wang and H. Yu
Mon, 2 May 16

Comments: 10 pages, 3 figures, 1 table