Browsing by Author "Tarjus, Gilles"

Now showing 1 - 4 of 4

Open Access
Decorrelation of the static and dynamic length scales in hard-sphere glass formers.
(Phys Rev E Stat Nonlin Soft Matter Phys, 2013-04) Charbonneau, Patrick; Tarjus, Gilles
We show that, in the equilibrium phase of glass-forming hard-sphere fluids in three dimensions, the static length scales tentatively associated with the dynamical slowdown and the dynamical length characterizing spatial heterogeneities in the dynamics unambiguously decorrelate. The former grow at a much slower rate than the latter when density increases. This observation is valid for the dynamical range that is accessible to computer simulations, which roughly corresponds to that accessible in colloidal experiments. We also find that, in this same range, no one-to-one correspondence between relaxation time and point-to-set correlation length exists. These results point to the coexistence of several relaxation mechanisms in the dynamically accessible regime of three-dimensional hard-sphere glass formers.
Open Access
Geometrical frustration and static correlations in a simple glass former.
(Phys Rev Lett, 2012-01-20) Charbonneau, Benoit; Charbonneau, Patrick; Tarjus, Gilles
We study the geometrical frustration scenario of glass formation for simple hard-sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding of the slowing down of relaxation, because of the strong frustration characterizing these systems. The possibility of a growing static length is furthermore found to be physically irrelevant in the regime that is accessible to computer simulations.
Open Access
Geometrical frustration and static correlations in hard-sphere glass formers.
(J Chem Phys, 2013-03-28) Charbonneau, Benoit; Charbonneau, Patrick; Tarjus, Gilles
We analytically and numerically characterize the structure of hard-sphere fluids in order to review various geometrical frustration scenarios of the glass transition. We find generalized polytetrahedral order to be correlated with increasing fluid packing fraction, but to become increasingly irrelevant with increasing dimension. We also find the growth in structural correlations to be modest in the dynamical regime accessible to computer simulations.
Open Access
Point-to-set lengths, local structure, and glassiness.
(Phys Rev E, 2016-09) Yaida, Sho; Berthier, Ludovic; Charbonneau, Patrick; Tarjus, Gilles
The growing sluggishness of glass-forming liquids is thought to be accompanied by growing structural order. The nature of such order, however, remains hotly debated. A decade ago, point-to-set (PTS) correlation lengths were proposed as measures of amorphous order in glass formers, but recent results raise doubts as to their generality. Here, we extend the definition of PTS correlations to agnostically capture any type of growing order in liquids, be it local or amorphous. This advance enables the formulation of a clear distinction between slowing down due to conventional critical ordering and that due to glassiness, and provides a unified framework to assess the relative importance of specific local order and generic amorphous order in glass formation.