The Collaborative International Dictionary of English v.0.48:
Aphlogistic \Aph`lo*gis"tic\, a. [Gr. ? not inflammable; 'a priv. + ? set on fire. See Phlogiston.] Flameless; as, an aphlogistic lamp, in which a coil of wire is kept in a state of continued ignition by alcohol, without flame. [1913 Webster] Aphonia