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Dimensional dependence of the Stokes-Einstein relation and its violation
(Journal of Chemical Physics, 2013-10-28)
We generalize to higher spatial dimensions the Stokes-Einstein relation (SER) as well
as the leading correction to diffusivity in finite systems with periodic boundary
conditions, and validate these results with numerical ...
Jamming criticality revealed by removing localized buckling excitations.
(Phys Rev Lett, 2015-03-27)
Recent theoretical advances offer an exact, first-principles theory of jamming criticality
in infinite dimension as well as universal scaling relations between critical exponents
in all dimensions. For packings of frictionless ...
Growing timescales and lengthscales characterizing vibrations of amorphous solids.
(Proc Natl Acad Sci U S A, 2016-07-26)
Low-temperature properties of crystalline solids can be understood using harmonic
perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties
of amorphous solids, however, strongly depart from ...
Hopping and the Stokes-Einstein relation breakdown in simple glass formers.
(Proc Natl Acad Sci U S A, 2014-10-21)
One of the most actively debated issues in the study of the glass transition is whether
a mean-field description is a reasonable starting point for understanding experimental
glass formers. Although the mean-field theory ...
Fractal free energy landscapes in structural glasses.
(Nat Commun, 2014-04-24)
Glasses are amorphous solids whose constituent particles are caged by their neighbours
and thus cannot flow. This sluggishness is often ascribed to the free energy landscape
containing multiple minima (basins) separated ...
Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
(2017-04-01)
Despite decades of work, gaining a first-principle understanding of amorphous materials
remains an extremely challenging problem. However, recent theoretical breakthroughs
have led to the formulation of an exact solution ...
Universal microstructure and mechanical stability of jammed packings.
(Phys Rev Lett, 2012-11-16)
The mechanical properties of jammed packings depend sensitively on their detailed
local structure. Here we provide a complete characterization of the pair correlation
close to contact and of the force distribution of jammed ...
Universal Non-Debye Scaling in the Density of States of Amorphous Solids.
(Phys Rev Lett, 2016-07-22)
At the jamming transition, amorphous packings are known to display anomalous vibrational
modes with a density of states (DOS) that remains constant at low frequency. The scaling
of the DOS at higher packing fractions remains, ...
Dimensional study of the caging order parameter at the glass transition.
(Proc Natl Acad Sci U S A, 2012-08-28)
The glass problem is notoriously hard and controversial. Even at the mean-field level,
little is agreed upon regarding why a fluid becomes sluggish while exhibiting but
unremarkable structural changes. It is clear, however, ...
Glass transition and random close packing above three dimensions.
(Phys Rev Lett, 2011-10-28)
Motivated by a recently identified severe discrepancy between a static and a dynamic
theory of glasses, we numerically investigate the behavior of dense hard spheres in
spatial dimensions 3 to 12. Our results are consistent ...