Spinodals with Disorder: From Avalanches in Random Magnets to Glassy Dynamics - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2016

Spinodals with Disorder: From Avalanches in Random Magnets to Glassy Dynamics

Résumé

We revisit the phenomenon of spinodals in the presence of quenched disorder and develop a complete theory for it. We focus on the spinodal of an Ising model in a quenched random field (RFIM), which has applications in many areas from materials to social science. By working at zero temperature in the quasistatically driven RFIM, thermal fluctuations are eliminated and one can give a rigorous content to the notion of spinodal. We show that the latter is due to the depinning and the subsequent expansion of rare droplets. We work out the associated critical behavior, which, in any finite dimension, is very different from the mean-field one: the characteristic length diverges exponentially and the thermodynamic quantities display very mild nonanalyticities much like in a Griffith phenomenon. From the recently established connection between the spinodal of the RFIM and glassy dynamics, our results also allow us to conclusively assess the physical content and the status of the dynamical transition predicted by the mean-field theory of glass-forming liquids.

Dates et versions

hal-01311059 , version 1 (03-05-2016)

Identifiants

Citer

Saroj Kumar Nandi, Giulio Biroli, Gilles Tarjus. Spinodals with Disorder: From Avalanches in Random Magnets to Glassy Dynamics. Physical Review Letters, 2016, 116 (14), pp.145701. ⟨10.1103/PhysRevLett.116.145701⟩. ⟨hal-01311059⟩
28 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More