Replica method

cosmos 26th March 2018 at 7:58pm

See Theory of spin glassesTheory of spin glasses. II

https://en.wikipedia.org/wiki/Replica_trick

https://www.wikiwand.com/es/Truco_de_las_r%C3%A9plicas

Imagining many identical but independent copies, or replicas, of the system; computing a thermodynamic average over them all; and then taking the number of replicas to zero. It turns out that this bizarre recipe—actually quite inspired, though mysterious—can in principle handle the difficulties posed by Quenched disorder

See Replica symmetry breaking

silent video

–> See chapter 3 of "An introduction to the theory of spin glasses and neural networks – Dotsenko"

See example in Learning with Boolean Threshold Functions, a Statistical Physics Perspective - Raemi Monasson (see Statistical physics and inference)