DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The structural origin of the hard-sphere glass transition in granular packing

Abstract

Glass transition is accompanied by a rapid growth of the structural relaxation time and a concomitant decrease of configurational entropy. It remains unclear whether the transition has a thermodynamic origin, and whether the dynamic arrest is associated with the growth of a certain static order. Using granular packing as a model hard-sphere glass, we show the glass transition as a thermodynamic phase transition with a ‘hidden’ polytetrahedral order. This polytetrahedral order is spatially correlated with the slow dynamics. It is geometrically frustrated and has a peculiar fractal dimension. Additionally, as the packing fraction increases, its growth follows an entropy-driven nucleation process, similar to that of the random first-order transition theory. In conclusion, our study essentially identifies a long-sought-after structural glass order in hard-sphere glasses.

Authors:
 [1];  [1];  [1];  [1];  [2];  [2];  [3];  [4]
  1. Shanghai Jiao Tong Univ., Shanghai (China)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
  3. Chinese Academy of Sciences (CAS), Shanghai (China)
  4. Shanghai Jiao Tong Univ., Shanghai (China); Nanjing Univ., Nanjing (China)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1223385
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 6; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; physical sciences; materials science; condensed matter

Citation Formats

Xia, Chengjie, Li, Jindong, Cao, Yixin, Kou, Binquan, Xiao, Xianghui, Fezzaa, Kamel, Xiao, Tiqiao, and Wang, Yujie. The structural origin of the hard-sphere glass transition in granular packing. United States: N. p., 2015. Web. doi:10.1038/ncomms9409.
Xia, Chengjie, Li, Jindong, Cao, Yixin, Kou, Binquan, Xiao, Xianghui, Fezzaa, Kamel, Xiao, Tiqiao, & Wang, Yujie. The structural origin of the hard-sphere glass transition in granular packing. United States. https://doi.org/10.1038/ncomms9409
Xia, Chengjie, Li, Jindong, Cao, Yixin, Kou, Binquan, Xiao, Xianghui, Fezzaa, Kamel, Xiao, Tiqiao, and Wang, Yujie. Mon . "The structural origin of the hard-sphere glass transition in granular packing". United States. https://doi.org/10.1038/ncomms9409. https://www.osti.gov/servlets/purl/1223385.
@article{osti_1223385,
title = {The structural origin of the hard-sphere glass transition in granular packing},
author = {Xia, Chengjie and Li, Jindong and Cao, Yixin and Kou, Binquan and Xiao, Xianghui and Fezzaa, Kamel and Xiao, Tiqiao and Wang, Yujie},
abstractNote = {Glass transition is accompanied by a rapid growth of the structural relaxation time and a concomitant decrease of configurational entropy. It remains unclear whether the transition has a thermodynamic origin, and whether the dynamic arrest is associated with the growth of a certain static order. Using granular packing as a model hard-sphere glass, we show the glass transition as a thermodynamic phase transition with a ‘hidden’ polytetrahedral order. This polytetrahedral order is spatially correlated with the slow dynamics. It is geometrically frustrated and has a peculiar fractal dimension. Additionally, as the packing fraction increases, its growth follows an entropy-driven nucleation process, similar to that of the random first-order transition theory. In conclusion, our study essentially identifies a long-sought-after structural glass order in hard-sphere glasses.},
doi = {10.1038/ncomms9409},
journal = {Nature Communications},
number = ,
volume = 6,
place = {United States},
year = {Mon Sep 28 00:00:00 EDT 2015},
month = {Mon Sep 28 00:00:00 EDT 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 46 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Supercooled liquids and the glass transition
journal, March 2001

  • Debenedetti, Pablo G.; Stillinger, Frank H.
  • Nature, Vol. 410, Issue 6825
  • DOI: 10.1038/35065704

Theoretical perspective on the glass transition and amorphous materials
journal, June 2011


On the Temperature Dependence of Cooperative Relaxation Properties in Glass‐Forming Liquids
journal, July 1965

  • Adam, Gerold; Gibbs, Julian H.
  • The Journal of Chemical Physics, Vol. 43, Issue 1
  • DOI: 10.1063/1.1696442

Growing Length Scales and Their Relation to Timescales in Glass-Forming Liquids
journal, March 2014


Mean-field theory of hard sphere glasses and jamming
journal, March 2010


A Geometrical Approach to the Structure Of Liquids
journal, January 1959


Slow relaxation and compaction of granular systems
journal, February 2005

  • Richard, Patrick; Nicodemi, Mario; Delannay, Renaud
  • Nature Materials, Vol. 4, Issue 2
  • DOI: 10.1038/nmat1300

Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material
journal, March 2007

  • Keys, Aaron S.; Abate, Adam R.; Glotzer, Sharon C.
  • Nature Physics, Vol. 3, Issue 4
  • DOI: 10.1038/nphys572

Critical scaling and heterogeneous superdiffusion across the jamming/rigidity transition of a granular glass
journal, August 2008


Theory of powders
journal, June 1989

  • Edwards, S. F.; Oakeshott, R. B. S.
  • Physica A: Statistical Mechanics and its Applications, Vol. 157, Issue 3
  • DOI: 10.1016/0378-4371(89)90034-4

The Jamming Transition and the Marginally Jammed Solid
journal, August 2010


How the ideal jamming point illuminates the world of granular media
journal, January 2014

  • Coulais, C.; Behringer, R. P.; Dauchot, O.
  • Soft Matter, Vol. 10, Issue 10
  • DOI: 10.1039/c3sm51231b

Jamming Transitions in Amorphous Packings of Frictionless Spheres Occur over a Continuous Range of Volume Fractions
journal, April 2010


Unified study of glass and jamming rheology in soft particle systems
journal, July 2012


Fractal free energy landscapes in structural glasses
journal, April 2014

  • Charbonneau, Patrick; Kurchan, Jorge; Parisi, Giorgio
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4725

Similarity of wet granular packing to gels
journal, September 2014

  • Li, Jindong; Cao, Yixin; Xia, Chengjie
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6014

Angularly anisotropic correlation in granular packings
journal, December 2014


Theory of Structural Glasses and Supercooled Liquids
journal, May 2007


Density fluctuations in vibrated granular materials
journal, February 1998


Entropy of Jammed Matter
journal, October 2008


The Nature of the Glassy State and the Behavior of Liquids at Low Temperatures.
journal, October 1948


Equivalence of Glass Transition and Colloidal Glass Transition in the Hard-Sphere Limit
journal, December 2009


The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
journal, December 2005


Roles of icosahedral and crystal-like order in the hard spheres glass transition
journal, January 2012

  • Leocmach, Mathieu; Tanaka, Hajime
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms1974

Properties of Cage Rearrangements Observed near the Colloidal Glass Transition
journal, August 2002


Correlations of structure and dynamics in an aging colloidal glass
journal, September 2006

  • Cianci, Gianguido C.; Courtland, Rachel E.; Weeks, Eric R.
  • Solid State Communications, Vol. 139, Issue 11-12
  • DOI: 10.1016/j.ssc.2006.04.039

Aggregation of tetrahedral and quartoctahedral Delaunay simplices in liquid and amorphous rubidium
journal, November 1990


A proof of the Kepler conjecture
journal, January 2005


Dynamically Correlated Regions and Configurational Entropy in Supercooled Liquids
journal, August 2008

  • Capaccioli, Simone; Ruocco, Giancarlo; Zamponi, Francesco
  • The Journal of Physical Chemistry B, Vol. 112, Issue 34
  • DOI: 10.1021/jp802097u

Scaling concepts for the dynamics of viscous liquids near an ideal glassy state
journal, July 1989


Critical-like behaviour of glass-forming liquids
journal, February 2010

  • Tanaka, Hajime; Kawasaki, Takeshi; Shintani, Hiroshi
  • Nature Materials, Vol. 9, Issue 4
  • DOI: 10.1038/nmat2634

The shapes of cooperatively rearranging regions in glass-forming liquids
journal, March 2006

  • Stevenson, Jacob D.; Schmalian, Jörg; Wolynes, Peter G.
  • Nature Physics, Vol. 2, Issue 4
  • DOI: 10.1038/nphys261

Geometrical frustration and static correlations in hard-sphere glass formers
journal, March 2013

  • Charbonneau, Benoit; Charbonneau, Patrick; Tarjus, Gilles
  • The Journal of Chemical Physics, Vol. 138, Issue 12
  • DOI: 10.1063/1.4770498

The relationship of dynamical heterogeneity to the Adam-Gibbs and random first-order transition theories of glass formation
journal, March 2013

  • Starr, Francis W.; Douglas, Jack F.; Sastry, Srikanth
  • The Journal of Chemical Physics, Vol. 138, Issue 12
  • DOI: 10.1063/1.4790138

Thermodynamic signature of growing amorphous order in glass-forming liquids
journal, August 2008

  • Biroli, G.; Bouchaud, J. -P.; Cavagna, A.
  • Nature Physics, Vol. 4, Issue 10
  • DOI: 10.1038/nphys1050

Colloidal gels: equilibrium and non-equilibrium routes
journal, July 2007


Effects of compression on the vibrational modes of marginally jammed solids
journal, November 2005


Jamming versus Glass Transitions
journal, July 2009


Why is Random Close Packing Reproducible?
journal, October 2007


Thermodynamics and Statistical Mechanics of Dense Granular Media
journal, October 2006


Nonequilibrium thermodynamics in sheared hard-sphere materials
journal, June 2012


Bond-orientational order in liquids and glasses
journal, July 1983

  • Steinhardt, Paul J.; Nelson, David R.; Ronchetti, Marco
  • Physical Review B, Vol. 28, Issue 2
  • DOI: 10.1103/PhysRevB.28.784

Shortcomings of the bond orientational order parameters for the analysis of disordered particulate matter
journal, January 2013

  • Mickel, Walter; Kapfer, Sebastian C.; Schröder-Turk, Gerd E.
  • The Journal of Chemical Physics, Vol. 138, Issue 4
  • DOI: 10.1063/1.4774084

Disordered spherical bead packs are anisotropic
journal, May 2010


Dynamically Correlated Regions and Configurational Entropy in Supercooled Liquids
journal, August 2008

  • Capaccioli, Simone; Ruocco, Giancarlo; Zamponi, Francesco
  • The Journal of Physical Chemistry B, Vol. 112, Issue 34
  • DOI: 10.1021/jp802097u

Supercooled liquids and the glass transition
journal, March 2001

  • Debenedetti, Pablo G.; Stillinger, Frank H.
  • Nature, Vol. 410, Issue 6825
  • DOI: 10.1038/35065704

Fractal free energy landscapes in structural glasses
journal, April 2014

  • Charbonneau, Patrick; Kurchan, Jorge; Parisi, Giorgio
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4725

Similarity of wet granular packing to gels
journal, September 2014

  • Li, Jindong; Cao, Yixin; Xia, Chengjie
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6014

Slow relaxation and compaction of granular systems
journal, February 2005

  • Richard, Patrick; Nicodemi, Mario; Delannay, Renaud
  • Nature Materials, Vol. 4, Issue 2
  • DOI: 10.1038/nmat1300

How the ideal jamming point illuminates the world of granular media
journal, January 2014

  • Coulais, C.; Behringer, R. P.; Dauchot, O.
  • Soft Matter, Vol. 10, Issue 10
  • DOI: 10.1039/c3sm51231b

Geometrical frustration and static correlations in hard-sphere glass formers
journal, March 2013

  • Charbonneau, Benoit; Charbonneau, Patrick; Tarjus, Gilles
  • The Journal of Chemical Physics, Vol. 138, Issue 12
  • DOI: 10.1063/1.4770498

Structural and entropic insights into the nature of the random-close-packing limit
journal, March 2008


Devising a protocol-related statistical mechanics framework for granular materials
journal, January 2015


Building Blocks of Dynamical Heterogeneities in Dense Granular Media
journal, February 2009


Direct Determination of the Size of Basins of Attraction of Jammed Solids
journal, June 2011


Probing Ergodicity in Granular Matter
journal, November 2012


Numerical Calculation of Granular Entropy
journal, March 2014


Following the Evolution of Hard Sphere Glasses in Infinite Dimensions under External Perturbations: Compression and Shear Strain
journal, January 2015


Polytetrahedral Nature of the Dense Disordered Packings of Hard Spheres
journal, June 2007


Theory of Structural Glasses and Supercooled Liquids
journal, May 2007


Jamming versus Glass Transitions
text, January 2008


Equivalence of glass transition and colloidal glass transition in the hard-sphere limit
text, January 2009


Unified study of glass and jamming rheology in soft particle systems
text, January 2012


Shortcomings of the Bond Orientational Order Parameters for the Analysis of Disordered Particulate Matter
text, January 2012


Roles of icosahedral and crystal-like order in hard spheres glass transition
text, January 2013


Why is Random Close Packing Reproducible?
text, January 2007


Works referencing / citing this record:

Granular materials flow like complex fluids
journal, November 2017


Structural and topological nature of plasticity in sheared granular materials
journal, July 2018


Structural order as a genuine control parameter of dynamics in simple glass formers
journal, December 2019


A neutron tomography study: probing the spontaneous crystallization of randomly packed granular assemblies
journal, December 2018


Revealing key structural features hidden in liquids and glasses
journal, May 2019


Extending the range and physical accuracy of coarse-grained models: Order parameter dependent interactions
journal, July 2017

  • Wagner, Jacob W.; Dannenhoffer-Lafage, Thomas; Jin, Jaehyeok
  • The Journal of Chemical Physics, Vol. 147, Issue 4
  • DOI: 10.1063/1.4995946

Echoes of the Glass Transition in Athermal Soft Spheres
journal, September 2017


Slow Dynamics in a Quasi-Two-Dimensional Binary Complex Plasma
journal, October 2019


Role of Attractive Forces in the Relaxation Dynamics of Supercooled Liquids
journal, January 2020


Slow dynamics in a quasi-two-dimensional binary complex plasma
text, January 2016


Poisson’s Ratio of the f.c.c. Hard Sphere Crystals with Periodically Stacked (001)-Nanolayers of Hard Spheres of Another Diameter
journal, February 2019

  • Narojczyk, Jakub; Wojciechowski, Krzysztof
  • Materials, Vol. 12, Issue 5
  • DOI: 10.3390/ma12050700

Structural and Topological Nature of Plasticity in Sheared Granular Materials
text, January 2018