Annealed disorder allows the variables representing disorder to equilibrate along with the spins. With a specified normalized prior measure over couplings, its partition function is the average . This differs from preparing samples with fixed couplings and averaging their measured thermodynamics, as in quenched disorder.[ref]
Out of equilibrium dynamics of complex systems by Leticia Fernanda Cugliandolo. §4.2, pp. 83–86, fixed disorder versus annealed partition-function averaging
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