Control parameter dependence of fluctuation near jamming

The fluctuations of the physical quantities play a central role to characterize the critical phenomena. Here, we report that the nature of the fluctuation highly depends on the control parameter near the jamming transition point $\varphi_J$. We show that the fluctuations do not diverge when the pressure is used as the control parameter. On the contrary, if the distance to the transition point $\varphi_J$ is used as the control parameter, the fluctuations show the power-law divergence.