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23 April 2024 |
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Spinodals with Disorder: from Avalanches in Random Magnets to Glassy Dynamics | | Saroj Nandi
; Giulio Biroli
; Gilles Tarjus
; | | Date: |
23 Jul 2015 | | Abstract: | Motivated by the connection between the dynamical transition predicted by the
mean-field theory of glass-forming liquids and the spinodal of an Ising model
in a quenched random field (RFIM) beyond mean-field, we revisit the phenomenon
of spinodals in the presence of quenched disorder and develop a complete theory
for it. By working at zero temperature in the quasi-statically driven RFIM,
thermal fluctuations are eliminated and one can give a rigorous content to the
notion of spinodal. We show that the spinodal transition is due to the
depinning and the subsequent expansion of rare droplets. We work out the
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 non-analyticities much like in a
Griffith phenomenon. On the basis of our results we assess the physical content
and the status of the dynamical transition predicted by the mean-field theory
of glassy dynamics. | | Source: | arXiv, 1507.6422 | | Services: | Forum | Review | PDF | Favorites | |
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