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Asteroseismology of stars that exhibit solar-like oscillations are enjoying agrowing interest with the wealth of observational results obtained with theCoRoT and Kepler missions. In this framework, scaling laws betweenasteroseismic quantities and stellar parameters are becoming essential tools tostudy a rich variety of stars. However, the physical underlying mechanisms ofthose scaling laws are still poorly known. Our objective is to provide atheoretical basis for the scaling between the frequency of the maximum in thepower spectrum ($\nu_{\rm max}$) of solar-like oscillations and the cut-offfrequency ($\nu_{\rm c}$). Using the SoHO GOLF observations together withtheoretical considerations, we first confirm that the maximum of the height inoscillation power spectrum is determined by the so-called \emph{plateau} of thedamping rates. The physical origin of the plateau can be traced to thedestabilizing effect of the Lagrangian perturbation of entropy in theupper-most layers which becomes important when the modal period and the localthermal relaxation time-scale are comparable. Based on this analysis, we thenfind a linear relation between $\nu_{\rm max}$ and $\nu_{\rm c}$, with acoefficient that depends on the ratio of the Mach number of the excitingturbulence to the third power to the mixing-length parameter.

The underlying physical meaning of the $\nu_{\rm max}-\nu_{\rm c}$ relation