Dynamics of a Bottom-Heavy Janus Particle Near a Wall Under Shear Flow

After our attention was brought to recent work by Pelargonio and Zaconne regarding the deviation of the white noise function for systems at very large shear, we have included the work as a reference of interest to our readers and clarified the definition of our Peclet number with respect to the Brownian diffusion of the particle as well as included a brief discussion of the magnitude of our shear rate compared to the bath frequency to clarify that the standard white noise applies in our system.