"Annealing, as implemented by the Metropolis procedure, differs from iterative improvement in that the procedure need not get stuck since transitions out of a local optimum are always possible at nonzero temperature. A second and more important feature is that a sort of adaptive divide-and-conquer occurs.
Gross features of the eventual state of the system appear at higher tempera-tures; fine details develop at lower tem-peratures. This will be discussed with specific examples."
https://www2.stat.duke.edu/~scs/Courses/Stat376/Papers/Tempe...
"Annealing, as implemented by the Metropolis procedure, differs from iterative improvement in that the procedure need not get stuck since transitions out of a local optimum are always possible at nonzero temperature. A second and more important feature is that a sort of adaptive divide-and-conquer occurs. Gross features of the eventual state of the system appear at higher tempera-tures; fine details develop at lower tem-peratures. This will be discussed with specific examples."