Numerical Construction of the Aizenman-Wehr Metastate.
Phys Rev Lett
; 119(3): 037203, 2017 Jul 21.
Article
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| MEDLINE
| ID: mdl-28777596
ABSTRACT
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=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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Revista:
Phys Rev Lett
Año:
2017
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Article
País de afiliación:
Francia