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We model the evolution of spin frequency's second derivative $\ddot\nu$ and braking index $n$ of radio pulsars with simulations within the phenomenological model of their surface magnetic field evolution, which contains a long-term decay…

High Energy Astrophysical Phenomena · Physics 2013-07-26 Yi Xie , Shuang-Nan Zhang

We explain some phenomena existing generally in the timing residuals: amplitude and sign of the second derivative of a pulsar's spin-frequency ($\ddot\nu$), some sophisticated residual patterns, which also change with the time span of data…

High Energy Astrophysical Phenomena · Physics 2016-04-27 Xu-Dong Gao , Shuang-Nan Zhang , Shu-Xu Yi , Yi Xie , Jian-Ning Fu

The measurements of pulsar frequency second derivatives have shown that they are 1e2...1e6 times larger than expected for standard pulsar spin-down law. Moreover, the second derivatives as well as braking indices are even negative for about…

Astrophysics · Physics 2008-11-26 Anton Biryukov , Gregory Beskin , Sergey Karpov , Lisa Chmyreva

In this article we revise the problem of anomalous values of pulsars' braking indices n_{obs} and frequency second derivatives F2 arising in observations. The intrinsic evolutionary braking is buried deep under superimposed irregular…

High Energy Astrophysical Phenomena · Physics 2012-01-25 A. Biryukov , G. Beskin , S. Karpov

We model the evolution of the magnetic fields of neutron stars as consisting of a long term power-law decay modulated by short term small amplitude oscillations. Our model predictions on the timing noise $\ddot\nu$ of neutron stars agree…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Shuang-Nan Zhang , Yi Xie

The observed long-term spin-down evolution of isolated radio pulsars cannot be explained by the standard magnetic dipole radiation with a constant braking torque. However how and why the torque varies still remains controversial, which is…

Solar and Stellar Astrophysics · Physics 2015-06-18 Yi Xie , Shuang-Nan Zhang

We present a population synthesis model for normal radio pulsars in the Galaxy incorporating the latest developments in the field and the magnetorotational evolution processes. Our model considers spin-down with a force-free magnetosphere…

High Energy Astrophysical Phenomena · Physics 2026-04-16 Zhihong Shi , C. -Y. Ng

We test models for the evolution of neutron star (NS) magnetic fields (B). Our model for the evolution of the NS spin is taken from an analysis of pulsar timing noise presented by Hobbs et al. (2010). We first test the standard model of a…

High Energy Astrophysical Phenomena · Physics 2013-12-12 Shuang-Nan Zhang , Yi Xie

We present a new method to investigate the effective magnetic field decay of isolated neutron stars, from the analysis of the long-term timing data of a large sample of radio pulsars \citep{2010MNRAS.402.1027H}. There are some differences…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Yi Xie , Shuang-Nan Zhang

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…

Astrophysics · Physics 2007-05-23 G. Beskin , A. Biryukov , S. Karpov

The measurements of pulsar frequency second derivatives have shown that they are $10^2-10^6$ times larger than expected for standard pulsar spin-down law, and are even negative for about half of pulsars. We explain these paradoxical results…

Astrophysics · Physics 2008-11-26 A. Biryukov , G. Beskin , S. Karpov

The braking index, $n$, of a pulsar is a measure of its angular momentum loss and the value it takes corresponds to different spin-down mechanisms. For a pulsar spinning down due to gravitational wave emission from the principal mass…

High Energy Astrophysical Phenomena · Physics 2025-03-27 A. L. Hewitt , M. Pitkin , I. M. Hook

We investigate the evolution of pulsars in the (P,P-dot) diagram. We first present analytical formulae to follow the evolution of a pulsar using simple exponential models for magnetic field decay and alignment. We then compare these…

Astrophysics · Physics 2009-11-06 Thomas M. Tauris , Sushan Konar

We address the issue of electromagnetic pulsar spindown by combining our experience from the two limiting idealized cases which have been studied in great extent in the past: that of an aligned rotator where ideal MHD conditions apply, and…

Astrophysics · Physics 2009-11-13 Ioannis Contopoulos , Anatoly Spitkovsky

Using the standard equation for the slowdown of a neutron star, we derive a formula for the braking index via integration rather than the conventional differentiation. The new formula negates the need to measure the second time derivative…

Astrophysics · Physics 2009-10-31 Simon Johnston , David Galloway

The pulsar wind model is updated by considering the effect of particle density and pulsar death. It can describe both the short term and long term rotational evolution of pulsars consistently. It is applied to model the rotational evolution…

High Energy Astrophysical Phenomena · Physics 2015-06-23 F. F. Kou , H. Tong

The evolutions of a neutron star's rotation and magnetic field (B-field) have remained unsolved puzzles for over half a century. We ascribe the rotational braking torques of pulsar to both components, the standard magnetic dipole radiation…

High Energy Astrophysical Phenomena · Physics 2022-12-12 Cheng-Min Zhang , Xiang-Han Cui , Di Li , De-Hua Wang , Shuang-Qiang Wang , Na Wang , Jian-Wei Zhang , Bo Peng , Wei-Wei Zhu , Yi-Yan Yang , Yuan-Yue Pan

We present timing solutions of PSR B0950+08, using 14 years of observations at Nanshan 26-m Radio Telescope of Xinjiang Astronomical Observatory. The braking index of PSR B0950+08 varies from --367 392 to 168 883, which shows an oscillation…

High Energy Astrophysical Phenomena · Physics 2022-04-28 Huang. Hai-tao , Zhou. Xia , Yuan. Jian-ping , Zheng. Xiao-ping

In the standard scenario for spin evolution of isolated neutron stars, a young pulsar slows down with a surface magnetic field B that does not change. Thus the pulsar follows a constant B trajectory in the phase space of spin period and…

Solar and Stellar Astrophysics · Physics 2015-07-09 Wynn C. G. Ho

Here we report that the observed braking indices of the 366 pulsars in the sample of Hobbs et al. range from about $-10^8$ to about $+10^8$ and are significantly correlated with their characteristic ages. Using the model of magnetic field…

High Energy Astrophysical Phenomena · Physics 2013-12-12 Shuang-Nan Zhang , Yi Xie
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