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A new method to analyse pulsar nulling phenomenon

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Pulsar nulling is a phenomenon of sudden cessation of pulse emission for a number of periods. The nulling fraction was often used to characterize the phenomenon. We propose a new method to analyse pulsar nulling phenomenon, by involving two key parameters, the nulling degree, χ, which is defined as the angle in a rectangular coordinates for the numbers of nulling periods and bursting periods, and the nulling scale, N, which is defined as the effective length of the consecutive nulling periods and bursting periods. The nulling degree χ can be calculated by tan χ = N nulling/N bursting and the mean is related to the nulling fraction, while the nulling scale, N, is also a newly defined fundamental parameter which indicates how often the nulling occurs. We determined the distributions of χ and N for 10 pulsars by using the data in literature. We found that the nulling degree χ indicates the relative length of nulling to that of bursting, and the nulling scale N is found to be related to the derivative of rotation frequency and hence the loss rate of rotational energy of pulsars. Their deviations reflect the randomness of the nulling process.

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  1. Backer D C. Pulsar nulling phenomena. Nature, 1970, 228: 42–43

    Article  ADS  Google Scholar 

  2. Li J, Esamdin A, Manchester R N, et al. Radiation properties of extreme nulling pulsar J1502-5653. Mon Not R Astron Soc, 2012, 425: 1294–1298

    Article  ADS  Google Scholar 

  3. Burke-Spolaor S, Bailes M. Themillisecond radio sky: Transients from a blind single-pulse search. Mon Not R Astron Soc, 2010, 402: 855–866

    Article  ADS  Google Scholar 

  4. Esamdin A, Lyne A G, Graham-Smith F, et al. Mode switching and subpulse drifting in PSR B0826-34. Mon Not R Astron Soc, 2005, 356: 59–65

    Article  ADS  Google Scholar 

  5. Wang N, Manchester R N, Johnston S. Pulsar nulling and mode changing. Mon Not R Astron Soc, 2007, 377: 1383–1392

    Article  ADS  Google Scholar 

  6. Lyne A G, Ashworth M. The effect of nulls upon subpulse drift in PSRs 0809+74 and 0818-13. Mon Not R Astron Soc, 1983, 204: 519–536

    ADS  Google Scholar 

  7. Unwin S C, Readhead A C S, Wilkinson P N, et al. Phase stability in the drifting subpulse pattern of PSR 0809+74. Mon Not R Astron Soc, 1978, 182: 711–721

    ADS  Google Scholar 

  8. Gil J A, Jessner A, Kijak J, et al. Multifrequency study of PSR 1822-09. Astron Astrophys, 1994, 282: 45–53

    ADS  Google Scholar 

  9. Herfindal J L, Rankin J M. Periodic nulls in the pulsar B1133+16. Mon Not R Astron Soc, 2007, 380: 430–436

    Article  ADS  Google Scholar 

  10. Herfindal J L, Rankin J M. Deep analyses of nulling in Arecibo pulsars reveal further periodic behaviour. Mon Not R Astron Soc, 2009, 393: 1391–1402

    Article  ADS  Google Scholar 

  11. Rankin J M, Wright G A E. The periodic nulls of radio pulsar J1819+1305. Mon Not R Astron Soc, 2008, 385, 1923–1930

    Article  ADS  Google Scholar 

  12. Biggs J D. An analysis of radio pulsar nulling statistics. Astrophys J, 1992, 394: 574–580

    Article  ADS  Google Scholar 

  13. Ritchings R T. Pulsar single pulse intensity measurements and pulse nulling. Mon Not R Astron Soc, 1976, 176: 249–263

    ADS  Google Scholar 

  14. Redman S L, Rankin J M. On the randomness of pulsar nulls. Mon Not R Astron Soc, 2009, 395: 1529–1532

    Article  ADS  Google Scholar 

  15. Vivekanand M. Observation of nulling in radio pulsars with the Ooty Radio Telescope. Mon Not R Astron Soc, 1995, 274: 785–792

    ADS  Google Scholar 

  16. Kramer M, Lyne A G, O’Brien J T, et al. A periodically active pulsar giving insight into magnetospheric physics. Science, 2006, 312: 549–551

    Article  ADS  Google Scholar 

  17. Cordes J M. Pulsar state switching from Markov transitions and stochastic resonance. arXiv:1304.5803

  18. Gajjar V, Joshi B C, Kramer M. A survey of nulling pulsars using the Giant Meterwave Radio Telescope. Mon Not R Astron Soc, 2012, 424: 1197–1205

    Article  ADS  Google Scholar 

  19. Bhattacharyya B, Gupta Y, Gil J. Investigation of the unique nulling properties of PSR B0818-41. Mon Not R Astron Soc, 2010, 408: 407–421

    Article  ADS  Google Scholar 

  20. Lewandowski W, Wolszczan A, Feiler G, et al. Arecibo timing and single-pulse observations of eighteen pulsars. Astrophys J, 2004, 600: 905–913

    Article  ADS  Google Scholar 

  21. Deich W T S, Cordes J M, Hankins T H, et al. Null transition times, quantized drift modes, and no memory across nulls for PSR 1944+17. Astrophys J, 1986, 300: 540–550

    Article  ADS  Google Scholar 

  22. Rankin J M. Toward an empirical theory of pulsar emission. III—mode changing, drifting subpulses, and pulse nulling. Astron J, 1986, 301: 901–922

    Article  ADS  Google Scholar 

  23. Manchester R N, Hobbs G B, Teoh A, et al. ATNF pulsar catalogue. Astron J, 2005, 129: 1993–2006

    Article  ADS  Google Scholar 

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Correspondence to JinLin Han.

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Yang, A., Han, J. & Wang, N. A new method to analyse pulsar nulling phenomenon. Sci. China Phys. Mech. Astron. 57, 1600–1606 (2014).

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