%0 Journal Article
%A Billoire,, A.
%A Fernández Pérez, Luis Antonio
%A Maiorano, A.
%A Marinari, E.
%A Martín Mayor, Víctor
%A Moreno Gordo, J.
%A Parisi, G.
%A Ricci-Tersenghi, F.
%A Ruiz Lorenzo, J. J.
%T Numerical construction of the Aizenman-Wehr metastate
%D 2017
%@ 0031-9007
%U https://hdl.handle.net/20.500.14352/18161
%X Chaotic size dependence makes it extremely difficult to take the thermodynamic limit in disordered systems. Instead, the metastate, which is a distribution over thermodynamic states, might have a smooth limit. So far, studies of the metastate have been mostly mathematical. We present a numerical construction of the metastate for the d ¼ 3 Ising spin glass. We work in equilibrium, below the critical temperature. Leveraging recent rigorous results, our numerical analysis gives evidence for a dispersed metastate, supported on many thermodynamic states.
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