Abstract
We characterize the high-frequency asymptotic shape of the primary dielectric relaxation for four supercooled liquids: glycerol, propylene carbonate, D-propylene glycol and tricresyl phosphate. Two distinct power laws, with an exact relationship between their exponents, exist above the peak in the imaginary part of the permittivity, ε''(ν). The second power law is a robust feature of the spectra, extending at least 13 decades above the peak frequency, for all the liquids. The change with temperature of ε''(ν) in this high-frequency region provides direct evidence for a proposed divergence in the static susceptibility in supercooled liquids and suggests that in the simplest analysis the approach to this divergence obeys Curie-Weiss behavior.