TY - JOUR
T1 - Numerical construction of the aizenman-wehr metastate
AU - Billoire, A.
AU - Fernandez, L. A.
AU - Maiorano, A.
AU - Marinari, E.
AU - Martin-Mayor, V.
AU - Moreno-Gordo, J.
AU - Parisi, G.
AU - Ricci-Tersenghi, F.
AU - Ruiz-Lorenzo, J. J.
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/7/21
Y1 - 2017/7/21
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85027016083
U2 - 10.1103/PhysRevLett.119.037203
DO - 10.1103/PhysRevLett.119.037203
M3 - 文章
C2 - 28777596
AN - SCOPUS:85027016083
SN - 0031-9007
VL - 119
JO - Physical Review Letters
JF - Physical Review Letters
IS - 3
M1 - 037203
ER -