Numerical construction of the Aizenman-Wehr metastate

Autor:	Billoire, A., Fernandez, L. A., Maiorano, A., Marinari, E., Martin-Mayor, V., Moreno-Gordo, J., Parisi, G., Ricci-Tersenghi, F., Ruiz-Lorenzo, J. J.
Rok vydání:	2017
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics
Zdroj:	Phys. Rev. Lett. 119, 037203 (2017)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.119.037203
Popis:	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. Comment: 5 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.01390 Zobrazit plný text záznamu View this record from Arxiv