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Finite size effects in the dynamics of glass-forming liquids | | Ludovic Berthier
; Giulio Biroli
; Daniele Coslovich
; Walter Kob
; Cristina Toninelli
; | | Date: |
15 Mar 2012 | | Abstract: | We present a comprehensive theoretical study of finite size effects in the
relaxation dynamics of glass-forming liquids. Our analysis is motivated by
recent theoretical progress regarding the understanding of relevant correlation
length scales in liquids approaching the glass transition. We obtain
predictions both from general theoretical arguments and from a variety of
specific perspectives: mode-coupling theory, kinetically constrained and defect
models, and random first order transition theory. In the latter approach, we
predict in particular a non-monotonic evolution of finite size effects across
the mode-coupling crossover due to the competition between mode-coupling and
activated relaxation. We study the role of competing relaxation mechanisms in
giving rise to non-monotonic finite size effects by devising a kinetically
constrained model where the proximity to the mode-coupling singularity can be
continuously tuned by changing the lattice topology. We use our theoretical
findings to interpret the results of extensive molecular dynamics studies of
four model liquids with distinct structures and kinetic fragilities. While the
less fragile model only displays modest finite size effects, we find a more
significant size dependence evolving with temperature for more fragile models,
such as Lennard-Jones particles and soft spheres. Finally, for a binary mixture
of harmonic spheres we observe the predicted non-monotonic temperature
evolution of finite size effects near the fitted mode-coupling singularity,
suggesting that the crossover from mode-coupling to activated dynamics is more
pronounced for this model. Finally, we discuss the close connection between our
results and the recent report of a non-monotonic temperature evolution of a
dynamic length scale near the mode-coupling crossover in harmonic spheres. | | Source: | arXiv, 1203.3392 | | Services: | Forum | Review | PDF | Favorites | |
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