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Adaptive Elastic Networks as models of supercooled liquids | | Le Yan
; Matthieu Wyart
; | | Date: |
16 Jun 2015 | | Abstract: | The thermodynamics and dynamics of supercooled liquids correlate with their
elasticity. In particular for covalent networks, the jump of specific heat is
small and the liquid is strong near the threshold valence where the network
acquires rigidity. By contrast, the jump of specific heat and the fragility are
large away from this threshold valence. In a previous work ({it PNAS},
110(16):6307, 2013) we could explain these behaviors by introducing a model of
supercooled liquids in which local rearrangements interact via elasticity.
However, in that model the disorder characterizing elasticity was frozen,
whereas it is itself a dynamic variable in supercooled liquids. Here we study
numerically and theoretically adaptive elastic network models where
polydisperse springs can move on a lattice, thus allowing for the geometry of
the elastic network to fluctuate and evolve with temperature. We show
numerically that our previous results on the relationship between structure and
thermodynamics hold in these models. We introduce an approximation where
redundant constraints (highly coordinated regions where the frustration is
large) are treated as an ideal gas, leading to analytical predictions that are
accurate in the range of parameters relevant for real materials. Overall, these
results lead to a description of supercooled liquids in which the distance to a
rigidity transition controls the number of directions in phase space that costs
energy and the specific heat. | | Source: | arXiv, 1506.4848 | | Services: | Forum | Review | PDF | Favorites | |
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