Upper panel: Density (blue) and temperature (red) history as a function of time for two particles. The solid and dashed lines represent particles located in the inner disk (x,y = 19.8, 1.4 au), and in the inner envelope (x, y = 14.0, 14.0 au), respectively, at their last time step at t = t_ff + 10 kyr. Middle panel: Time evolution of the gas phase abundance of CH₃OH for the two particles. Bottom panel: Reconstructed map (magnified) of relative gas phase abundances of CH₃OH, 10 kyr after the formation of the central object. The black contours represent temperatures of 50, 75, 100, and 300 K.