Publication : t17/068
Numerical construction of the Aizenman-Wehr metastate
Billoire A. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)Fernandez L.A. (Departamento de Fisica Teorica I, Universidad Complutense, 28040 Madrid, Spain.)
Maiorano A. (Dipartimento di Fisica, Sapienza Università di Roma, P. A. Moro 2, 00185 Roma, Italy)
Marinari E. (Dipartimento di Fisica, Università di Roma `La Sapienza\' Istituto Nazionale della Materia, Plazzale Aldo Moro 5, I-00185 Rome, ITALY)
Martin-Mayor V (Departamento de Fisica Teorica I, Universidad Complutense, 28040 Madrid, Spain.)
Moreno-Gordo J. (Departamento de F ́ısica Te ́orica I, Universidad Complutense, 28040 Madrid, Spai)
Parisi G. (Dipartimento di Fisica, Università di Roma `La Sapienza\' Istituto Nazionale della Materia, Plazzale Aldo Moro 5, I-00185 Rome, ITALY)
Ricci-Tersenghi F. (Dipartimento di Fisica, INFM (UdR Roma I and SMC Centre) Università di Roma \'La Sapienza\', P. A. Moro 2, 00185 Rome, ITALY)
Ruiz-Lorenzo, J (niversidad de Extremadura, 06071 Badajoz, Spain)
Abstract:Année de publication : 2017
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 {em dispersed} metastate, supported on many thermodynamic states.
Revue : Phys. Rev. Lett. 119 037203 (2017)
DOI : doi.org/10.1103/PhysRevLett.119.037203
Preprint : arXiv:1704.01390
Langue : Anglais
