Dielectric 1/f noise of proton glass on a hydrated protein surface

From nonexponentiality of dielectric relaxation detected in hydrated lysozyme powder we evaluate the power spectrum x_ω² of the fluctuating dipole moment x² of one macromolecule, due to the glass of protons migrating on the protein surface. Near room temperature, the contribution to the total dipole moment by the integrated strength of the 1/f^α noise in the frequency range from 10⁴ to 10⁶Hz, is well consistent with early Kirkwood’s predictions in solution and more recent computations. The biochemical significance of the nonequilibrium region near the Vogel-Fulcher temperature T₀≈268K calls for further investigations.