Now showing items 1-19 of 19

    • Application of Edwards' statistical mechanics to high-dimensional jammed sphere packings 

      Charbonneau, Patrick; Jin, Y; Meyer, S; Song, C; Zamponi, Francesco (PHYSICAL REVIEW E, 2010-11-18)
    • Application of Edwards' statistical mechanics to high-dimensional jammed sphere packings. 

      Charbonneau, Patrick; Jin, Y; Meyer, S; Song, C; Zamponi, Francesco (Phys Rev E Stat Nonlin Soft Matter Phys, 2010-11)
      The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song et al., Nature (London) 453, 629 (2008)] is generalized to arbitrary dimension d using a liquid-state description. ...
    • Dimensional dependence of the Stokes-Einstein relation and its violation 

      Charbonneau, Benoit; Charbonneau, Patrick; Jin, Y; Parisi, G; Zamponi, Francesco (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 ...
    • Dimensional dependence of the Stokes-Einstein relation and its violation 

      Charbonneau, Benoit; Charbonneau, Patrick; Jin, Y; Parisi, G; Zamponi, Francesco (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 ...
    • Dimensional dependence of the Stokes-Einstein relation and its violation. 

      Charbonneau, Benoit; Charbonneau, Patrick; Jin, Y; Parisi, G; Zamponi, Francesco (J Chem Phys, 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 ...
    • Dimensional study of the caging order parameter at the glass transition. 

      Charbonneau, Patrick; Ikeda, A; Parisi, G; Zamponi, Francesco (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, ...
    • Exact theory of dense amorphous hard spheres in high dimension. III. the full replica symmetry breaking solution 

      Charbonneau, Patrick; Kurchan, J; Parisi, G; Urbani, P; Zamponi, Francesco (Journal of Statistical Mechanics: Theory and Experiment, 2014-10-01)
      © 2014 IOP Publishing Ltd. In the first part of this paper, we derive the general replica equations that describe infinite-dimensional hard spheres at any level of replica symmetry breaking (RSB) and in particular in the ...
    • Fractal free energy landscapes in structural glasses. 

      Charbonneau, Patrick; Kurchan, J; Parisi, G; Urbani, P; Zamponi, Francesco (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 

      Charbonneau, Patrick; Kurchan, J; Parisi, G; Urbani, P; Zamponi, Francesco (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 ...
    • Glass transition and random close packing above three dimensions. 

      Charbonneau, Patrick; Ikeda, A; Parisi, G; Zamponi, Francesco (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 ...
    • Growing timescales and lengthscales characterizing vibrations of amorphous solids. 

      Berthier, Ludovic; Charbonneau, Patrick; Jin, Y; Parisi, G; Seoane, B; Zamponi, Francesco (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. 

      Charbonneau, Patrick; Jin, Y; Parisi, G; Zamponi, Francesco (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 ...
    • How to create equilibrium vapor-deposited glasses 

      Berthier, Ludovic; Charbonneau, Patrick; Flenner, E; Zamponi, Francesco (2017-08-23)
      Glass films created by vapor-depositing molecules onto a substrate can exhibit properties similar to those of ordinary glasses aged for thousands of years. It is believed that enhanced surface mobility is the mechanism that ...
    • Jamming criticality revealed by removing localized buckling excitations. 

      Charbonneau, Patrick; Corwin, Eric I; Parisi, G; Zamponi, Francesco (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 ...
    • Numerical detection of the Gardner transition in a mean-field glass former. 

      Charbonneau, Patrick; Jin, Y; Parisi, G; Rainone, C; Seoane, B; Zamponi, Francesco (Phys Rev E Stat Nonlin Soft Matter Phys, 2015-07)
      Recent theoretical advances predict the existence, deep into the glass phase, of a novel phase transition, the so-called Gardner transition. This transition is associated with the emergence of a complex free energy landscape ...
    • Origin of Ultrastability in Vapor-Deposited Glasses. 

      Berthier, Ludovic; Charbonneau, Patrick; Flenner, Elijah; Zamponi, Francesco (Physical review letters, 2017-11)
      Glass films created by vapor-depositing molecules onto a substrate can exhibit properties similar to those of ordinary glasses aged for thousands of years. It is believed that enhanced surface mobility is the mechanism that ...
    • Universal microstructure and mechanical stability of jammed packings. 

      Charbonneau, Patrick; Corwin, Eric I; Parisi, G; Zamponi, Francesco (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. 

      Charbonneau, Patrick; Corwin, Eric I; Parisi, G; Poncet, A; Zamponi, Francesco (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, ...
    • Universal Non-Debye Scaling in the Density of States of Amorphous Solids. 

      Charbonneau, Patrick; Corwin, Eric I; Parisi, G; Poncet, A; Zamponi, Francesco (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, ...