In stellar astrophysics, Ledoux's name is now associated with the criterion under which material in a star becomes unstable to convection in the presence of a gradient of chemical composition. In homogeneous material, the Schwarzschild criterion shows that material is unstable to convection if the radiation field alone would establish a steeper temperature gradient steeper than the adiabatic (or isentropic) temperature gradient. However, Ledoux showed that a composition gradient stabilises or destabilises the material against convection.[5] In convectively-stable regions destabilised by the composition gradient, one expects thermohaline mixing; in convectively-unstable regions that are stabilised, one expects double-diffusive mixing, known in stellar astrophysics as semiconvection.
^Hoyle, F. (1972), "P. Ledoux received the Eddington Medal.", Quarterly Journal of the Royal Astronomical Society, 13: 348, Bibcode:1972QJRAS..13..485H