2022
DOI: 10.3847/2041-8213/ac574b
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The Combined Effects of Two-body Relaxation Processes and the Eccentric Kozai–Lidov Mechanism on the Extreme-mass-ratio Inspirals Rate

Abstract: Gravitational wave (GW) emissions from extreme-mass-ratio inspirals (EMRIs) are promising sources for low-frequency GW detectors. They result from a compact object, such as a stellar-mass black hole (BH), captured by a supermassive BH (SMBH). Several physical processes have been proposed to form EMRIs. In particular, weak two-body interactions over a long timescale (i.e., relaxation processes) have been proposed as a likely mechanism to drive the BH orbit to high eccentricity. Consequently, it is captured by t… Show more

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Cited by 24 publications
(19 citation statements)
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“…We simulate the effects of relaxation in our code. Over each time step, we apply a small instantaneous velocity kick to the star, from which we calculate the new, slightly altered orbital parameters (see Naoz et al 2022 Rose et al 2022). Here, v orbital and P orbital are the orbital speed and period of the star in question.…”
Section: Two-body Relaxationmentioning
confidence: 99%
“…We simulate the effects of relaxation in our code. Over each time step, we apply a small instantaneous velocity kick to the star, from which we calculate the new, slightly altered orbital parameters (see Naoz et al 2022 Rose et al 2022). Here, v orbital and P orbital are the orbital speed and period of the star in question.…”
Section: Two-body Relaxationmentioning
confidence: 99%
“…Relaxation can cause the orbit of an object in a GN to reach high eccentricities. If the object is a BH, it can spiral into the SMBH and form an EMRI, while a star can be tidally disrupted by the SMBH (e.g., Magorrian & Tremaine 1999;Wang & Merritt 2004;Hopman & Alexander 2005;Aharon & Perets 2016;Stone & Metzger 2016;Amaro-Seoane 2018;Sari & Fragione 2019;Naoz et al 2022). The relaxation process is therefore crucial to our study.…”
Section: Two-body Relaxation Processesmentioning
confidence: 99%
“…(see Bradnick et al 2017 for an approach to changes in the angular momentum). The new orbital parameters can be calculated following Lu & Naoz (2019), and see Naoz et al (2022) for the full set of equations.…”
Section: Two-body Relaxation Processesmentioning
confidence: 99%
“…Here we remind the reader that we generated 100,000 initial conditions per set of Monte Carlo simulations. To arrive at the "EMRIs (or any other outcome) per initial stellar binary" figure, we simply count the number of EMRIs (or any other outcome) in each set of simulations and divide this by 100,000.4 Note that these rates are about one to two orders of magnitude lower than the EMRI rate estimated via two-body relaxation processes (e.g.,Hopman & Alexander 2006), and three to four orders or magnitude lower than the estimated rate of MBH binaries(Naoz et al 2022). …”
mentioning
confidence: 86%