Non-Linear Resonance in Nearly Geodesic Motion in Low-Mass X-Ray Binaries

Abramowicz, Marek A.; Karas, V.; Kluźniak, W.; Lee, William H.; Rebusco, P.

doi:10.1093/pasj/55.2.467

Cited by 180 publications

(221 citation statements)

References 21 publications

Supporting

Mentioning

207

Contrasting

Order By: Relevance

“…Further, Rezzolla et al (2003a,b) studied small perturbations of an accretion torus orbiting close to the black hole and modeled the observed high QPO frequencies with basic p-modes of relativistic tori. They showed that these modes behave as sound waves trapped in the torus with eigenfrequencies appearing in the sequence 2:3:4:... Abramowicz et al (2003) also proposed that the observed rational ratios of frequencies may be due to the strong gravity of the compact object and a non-linear resonance between radial and vertical oscillations in accretion disks.…”

Section: Flrs In the Presence Of Ambient Flow (Along The Magnetosphermentioning

confidence: 99%

Quasi-periodic oscillations: Resonant shear Alfvén waves in neutron star magnetospheres

Rezania

Samson²

2005

A&A

View full text Add to dashboard Cite

Abstract.We propose a new model for quasi-periodic oscillations (QPOs) based on oscillating magnetohydrodynamic modes in neutron star magnetospheres. We argue that the interaction of the accretion disk with the magnetosphere can excite resonant shear Alfvén waves in a region of enhanced density gradients, the region where accretion material flows along the magnetic field lines in the magnetosphere (see Fig. 1). We demonstrate that depending on the distance of this region from the star and the magnetic field strength, the frequency of the field line resonance can range from several Hz (a weaker field, farther from the star), to approximately kHz frequencies (a stronger field, ∼2−10 stellar radii from the star). We show that such oscillations are able to significantly modulate inflow of matter from the high density region toward the star's surface and possibly produce the observed X-ray spectrum. In addition, we show that the observed 2:3 frequency ratio of QPOs is a natural result of our model.

show abstract

Section: Flrs In the Presence Of Ambient Flow (Along The Magnetosphermentioning

confidence: 99%

Quasi-periodic oscillations: Resonant shear Alfvén waves in neutron star magnetospheres

Rezania

Samson²

2005

A&A

View full text Add to dashboard Cite

show abstract

“…They are constants, which depend on r 0 , the distance of the unperturbed orbit from the centre. In previous studies these non-linear differential equations have been integrated numerically (Abramowicz et al 2003) and analyzed through a perturbative method. These coupled harmonic oscillators display internal non-linear resonance, the strongest one occurs when ω θ :ω r = 3:2 and the observed frequencies are close (but not equal) to the epicyclic ones.…”

Section: Dynamics Of a Test Particlementioning

confidence: 99%

“…However these epicyclic oscillations would not be detectable without any source of energy to make their amplitudes grow. In Abramowicz et al (2003) and Rebusco (2004) this source of energy was inserted by introducing a parameter α. The effect of forcing (e.g., due to the neutron star spin), and its potential to produce new (external) resonances, have been addressed recently (e.g.…”

Section: Additional Termsmentioning

confidence: 99%

See 1 more Smart Citation

Stochastic modeling of kHz quasi-periodic oscillation light curves

Vio¹,

Rebusco

Andreani³

et al. 2006

A&A

View full text Add to dashboard Cite

Aims. Kluźniak & Abramowicz explain the high frequency, double peak, "3:2" QPOs observed in neutron star and black hole sources in terms of a non-linear parametric resonance between radial and vertical epicyclic oscillations of an almost Keplerian accretion disk. The 3:2 ratio of epicyclic frequencies occurs only in strong gravity. Recently, a simple model incorporating their suggestion was studied analytically: the result is that a small forcing may indeed excite the parametric 3:2 resonance. However, no explanation has been provided on the nature of the forcing which is given an "ad hoc" deterministic form. Methods. In the present paper the same model is considered. The equation are numerically integrated, dropping the ad hoc forcing and adding instead a stochastic term to mimic the action of the very complex processes that occur in accretion disks as, for example, MRI turbulence. Results. We demonstrate that the presence of the stochastic term is able to trigger the resonance in epicyclic oscillations of nearly Keplerian disks, and it influences their pattern.

show abstract

“…Owing to the expected links with the orbital motion, most work about kHz QPOs focus on the explanation for the nature of these signals (e.g. Miller, Lamb & Psaltis 1998;Stella & Vietri 1998Kluzniak & Abramowicz 2001;Abramowicz et al 2003;Zhang 2004). The kHz QPOs often arise as simultaneous twin peaks (upper ν 2 and lower ν 1 frequency) with frequencies changing over time.…”

Section: Introductionmentioning

confidence: 99%

Statistical analysis for the Q‐factor of twin kHz QPOs

et al. 2012

View full text Add to dashboard Cite

Using the recently published data of twin kHz quasi-period oscillations (QPOs) in neutron star low-mass X-ray binaries (LMXBs), we study the different profiles between bright Z sources and less luminous Atoll sources in a statistical way. We find the quality factors of upper kHz QPOs show a narrow distribution both for Z sources and Atoll sources, which concentrate at 7.98 and 9.75 respectively, the quality factors of lower kHz QPOs show a narrow distribution for Z sources and a broader distribution for Atoll sources, which concentrate at 5.25 and 86.22 respectively. In order to investigate the relation between the quality factor and the peak frequency of kHz QPOs, we fit the data with power-law, linear and exponential functions, respectively. There is an obvious trend that the quality factors increase with the peak frequencies both for upper and lower QPOs. The implications of our results are discussed.

show abstract

Non-Linear Resonance in Nearly Geodesic Motion in Low-Mass X-Ray Binaries

Cited by 180 publications

References 21 publications

Quasi-periodic oscillations: Resonant shear Alfvén waves in neutron star magnetospheres

Quasi-periodic oscillations: Resonant shear Alfvén waves in neutron star magnetospheres

Stochastic modeling of kHz quasi-periodic oscillation light curves

Statistical analysis for the Q‐factor of twin kHz QPOs

Contact Info

Product

Resources

About