Title: Gravitational wave detection of DFSZ axion models

Abstract: As a promising dark matter candidate, the axion particle can naturally solve the strong CP problem of the standard model through the U(1) Peccei-Quinn symmetry-breaking process. However, detecting this high-energy process poses a significant challenge for colliders. We precisely calculate the phase transition gravitational wave signals of this symmetry-breaking process in the popular DFSZ axion model. By comparing the signals with the expected sensitivity of Cosmic Explorer and Einstein Telescope, we demonstrate that Cosmic Explorer could detect this process with a signal-to-noise ratio higher than 8 for the benchmark points. Furthermore, by performing Fisher analysis, we find that if signals are observed, the bubble wall velocity will be the first phase transition parameter to be determined. The future gravitational wave detectors are expected to provide a new approach to exploring concrete axion models.