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Chaotic Migration of LISA Extreme Mass Ratio Inspirals in a Turbulent Accretion Disk: Effect on Waveform Dephasing

  • Authors: Mudit Garg, Lucio Mayer, Yinhao Wu, 寅昊 吴, Yacine Ali-Haïmoud, Douglas N.C. Lin, 潮 林

Mudit Garg et al 2026 The Astrophysical Journal Letters 1009 .

  • Provider: AAS Journals

Caption: Figure 2.

We show ﹩{\rm{\Delta }}{\psi }_{{\rm{lin}}}^{({\rm{golden}})}﹩, the gas-induced dephasing due to the linear torque for the “golden” EMRI in Equation (14), as a function of Eddington ratio (fEdd), the turbo-viscous coefficient (α), and the disk aspect ratio (h0) for our radiation-dominated disk profile. For each panel, we increase α vertically from 10−1.25 to 10−0.25 and h0 horizontally from 0.01 to 0.1, while keeping the Eddington ratio constant. The color bar shows the range of Δψlin from −100.5 to −10−3.5 rad. For each panel, cells left of the dashed black line have observable linear dephasing due to Δψlin > Δψcrit = 0.16 rad. Similarly, we mark this threshold in the color bar. Since Δψlin ∝ ﹩{{\rm{f}}}_{{\rm{Edd}}}^{-1}{\alpha }^{-1}{h}_{0}^{-2}﹩ in Equation (15), the linear dephasing increases with lower fEdd, α, and h0.

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