A strong $\ddot{\nu }-\dot{\nu }$ correlation in radio pulsars with implications for torque variations

Abstract

We present an analysis of the spin-down parameters for 131 radio pulsars for which $\ddot{\nu }$ has been well determined. These pulsars have characteristic ages ranging from $10^3-10^8$ yr and spin periods in the range 0.4--30 s; nearly equal numbers of pulsars have $\ddot{\nu }>0$ as $\ddot{\nu }<0$. We find a strong correlation of $\ddot{\nu }$ with $\dot{\nu }$, {\em independent of the sign of} $\ddot{\nu }$. We suggest that this trend can be accounted for by small, stochastic deviations in the spin-down torque that are directly proportional (in magnitude) to the spin-down torque.

MNRAS, 4 pages, 2 figures. Minor editorial changes and typos corrected

References in corpus (7)

• Discovery of Two High-Magnetic-Field Radio Pulsars
• Precession Interpretation of the Isolated Pulsar PSR B1828-11
• Precession of the Isolated Neutron Star PSR B1828-11
• Evidence for Free Precession in the Pulsar B1642-03
• Observations of fourteen pulsar glitches
• The Timing Noise of PSR 0823+26, PSR 1706-16, PSR 1749-28, PSR 2021+51 and The Anomalous Braking Indices
• Timing, glitches and braking index of PSR B0540-69

Cited by in corpus (27)

• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• Models of Pulsar Glitches
• Assessing the Role of Spin Noise in the Precision Timing of Millisecond Pulsars
• Hidden Markov model tracking of continuous gravitational waves from a neutron star with wandering spin
• Pulsar timing noise from superfluid turbulence
• The UTMOST pulsar timing programme II: Timing noise across the pulsar population
• X-ray and Radio Timing of the Pulsar in 3C 58
• Pulsar timing irregularities and the imprint of magnetic field evolution
• Hidden Markov model tracking of continuous gravitational waves from young supernova remnants
• Timing Observations of 27 Pulsars at the Pushchino Observatory from 1978 to 2012
• The influence of nondipolar magnetic field and neutron star precession on braking indexes of radiopulsars
• Monotonic and cyclic components of radio pulsars spin-down
• Results of 12 Years of Pulsar Timing at Nanshan -- I
• Time-Correlated Structure in Spin Fluctuations in Pulsars
• Pulsar timing noise and the minimum observation time to detect gravitational waves with pulsar timing arrays
• Search for continuous gravitational waves from ten H.E.S.S. sources using a hidden Markov model
• Pulse profiles and timing of PSR J1757$-$2421
• Apparent dispersion in pulsar braking index measurements caused by timing noise
• Hydrodynamic Stability Analysis of the Neutron Star Core
• Evidence of longterm cyclic evolution of radio pulsar periods
• Refinement of the timing-based estimator of pulsar magnetic fields
• Understanding the residual patterns of timing solutions of radio pulsars with a model of magnetic field oscillation
• Search for continuous gravitational waves from HESS~J1427-608 with a hidden Markov model
• Interlinking internal and external magnetic fields of relativistically rotating neutron stars
• On the pulsar spin frequency derivatives and the glitch activity
• Hierarchical Bayesian estimation of population-level torque law parameters from anomalous pulsar braking indices
• On the peculiarities in the rotational frequency evolution of isolated neutron stars