Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd...2e..17b&link_type=abstract
On the Present and Future of Pulsar Astronomy, 26th meeting of the IAU, Joint Discussion 2, 16-17 August, 2006, Prague, Czech Re
Astronomy and Astrophysics
Astronomy
Scientific paper
The recent massive measurements of pulsar frequency second derivatives have shown that they are 100-1000 times larger than expected for standard pulsar slowdown low. Moreover, the second derivatives as well as braking indices are even negative for about half of pulsars. We explain these paradoxical results on the basis of the statistical analysis of the rotational parameters (frequency, its first and second derivatives) of the subset of 295 pulsars taken mostly from the ATNF database. We have found strong correlation of second and first frequency derivatives either for positive (correlation coefficient r~0.9) and negative (r~0.85) values of second derivative, and of the frequency and and its first derivative (r~0.7). We interpret these dependencies as evolutionary ones due to the first frequency derivative being nearly proportional to the characteristic age. The derived statistical relations as well as "anomalous" values of the second frequency derivative are well explained in the framework of the simple model of cyclic evolution of the rotational frequency of the pulsars. It combines the secular change of the rotational parameters according to the power law with braking index n~5 and harmonic oscillations of 100--1000 years period with an amplitude from 10^-3 Hz for young pulsars to 10^-10 Hz for elder ones. The physical nature of these cyclic variations of the rotational frequency may be similar to the well-known red timing noise, however, with much larger characteristic time scale.
Beskin Gregory
Biryukov Anton
Karpov Sergey
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