Rigidity percolation and the spatial heterogeneity of soft modes in disordered materials

Proceedings of the National Academy of Sciences of the United States of America

Volumn 106, Issue 36, 2009, Pages 15136-15141

  De Souza, Vanessa K ^a   Harrowell, Peter ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Dynamic heterogeneity; Glass transition; Inherent structure; Local mode; Supercooled liquid

Indexed keywords

ARTICLE; CHEMICAL BOND; COMPARTMENT MODEL; LIQUID CULTURE; MEMBRANE FILTER; MOTION; PRIORITY JOURNAL; RELAXATION TIME; RIGIDITY PERCOLATION;

CLUSTER ANALYSIS; COMPUTER SIMULATION; GLASS; HOT TEMPERATURE; MODELS, CHEMICAL; PHASE TRANSITION; THERMODYNAMICS; TIME FACTORS;

EID: 70349318706     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0901112106     Document Type: Article

References (36)

1. Stillinger FH, Weber TA (1982) Hidden structure in liquids. Phys Rev A At Mol Opt Phys 25:978-989.
2. Goldstein M (1969) Viscous liquids and the glass transition: a potential barrier picture. J Chem Phys 51:3728-3739.
3. Wales DJ (2003) Energy Landscapes (CUP, Cambridge, England).
4. Wales DJ (2005) The energy landscape as a unifying theme inmolecular science. Philos Transact A Math Phys Eng Sci. 363:357-375, and discussion (2005) 363:375-377.
5. Heuer A (2008) Exploring the potential energy landscape of glass-forming systems: from inherent structures via metabasins to macroscopic transport. J Phys Condens Matter 20:373101.
6. Sciortino F (2005) Potential energy landscape description of supercooled liquids and glasses. J Stat Mech Theory Exp. 2005:P05015.
7. Widmer-Cooper A, Harrowell P (2005) On the relationship between structure and dynamics in a supercooled liquid. J Phys Condens Matter 17:S4025-S4034.
8. Widmer-Cooper A, Perry H, Harrowell P, Reichman DR (2008) Irreversible reorganization in a supercooled liquid originates from localized soft modes. Nat Phys 4:711-715.
9. Mazzacurati V, Ruocco G, Sampoli M (1996) Low-frequency atomic motion in a model glass. Europhys Lett 34:681-686. (Pubitemid 126083916)
10. Schober HR, Ruocco G (2004) Size effects and quasilocalized vibrations. Philos Mag 84:1361-1372.
11. Schober HR, Laird BB (1991) Localized low-frequency vibrational modes in glasses. Phys Rev B Condens Matter 44:6746-6754.
12. Brito C, Wyart M (August 8, 2007) Heterogeneous dynamics, marginal stability and soft modes in hard sphere glasses. J Stat Mech, 10.1088/1742-5468/2007/08/L08003.
13. Coslovich D, Pastore G (2006) Are there localized saddles behind the heterogeneous dynamics of supercooled liquids? Europhys Lett 75:784-790. (Pubitemid 44369676)
14. Phillips JC (1979) Topology of covalent non-crystalline solids I: short-range order in chalcogenide alloys. J Non-Cryst Solids 34:153-181.
15. Thorpe MF (1983) Continuous deformations in random networks. J Non-Cryst Solids 57:355-370.
16. Guyon E, et al. (1990) Non-local and non-linear problems in the mechanics of disordered systems: application to granular media and rigidity problems. Rep Prog Phys 53:373-419.
17. Moukarzel CF (1998) Isostatic phase transition and instability in stiff granular materials. Phys Rev Lett 81:1634-1637.
18. Donev A, Torquato S, Stillinger FH (2005) Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings. Phys Rev E Stat Nonlin Soft Matter Phys 71:011105.
19. Liu AJ, Nagel SR (1998) Jamming is not just cool any more. Nature 396:21-22. (Pubitemid 28520432)
20. Biroli G (2007) Jamming: a new kind of phase transition? Nat Phys 3:222-223.
21. Dauchot O, Marty G, Biroli G (2005) Dynamical heterogeneity close to the jamming transition in a sheared granular material. Phys Rev Lett 95:265701. (Pubitemid 43279318)
22. O'Hern CS, Langer SA, Liu AJ, Nagel SR (2001) Force distributions near jamming and glass transitions. Phys Rev Lett 86:111-114.
23. Xu N, Wyart M, Liu AJ, Nagel SR (2007) Excess vibrational modes and the boson peak in model glasses. Phys Rev Lett 98:175502. (Pubitemid 46645545)
24. O'Hern C, Silbert L, Liu A, Nagel S (2003) Jamming at zero temperature and zero applied stress: the epitome of disorder. Phys Rev E Stat Nonlin Soft Matter Phys 68:011306.
25. Connelly R, Rybnikov K, Volkov S (2001) Percolation of the loss of tension in an infinite triangular lattice. J Stat Phys 105:143-171. (Pubitemid 33385020)
26. Jacobs DJ, Thorpe MF (1995) Generic rigidity percolation: the Pebble Game. Phys Rev Lett 75:4051-4054.
27. Jacobs DJ, Thorpe MF (1996) Generic rigidity percolation in two dimensions. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 53:3682-3693.
28. Micoulaut M, Phillips JC (2007) Onset of rigidity in glasses: from random to self-organized networks. J Non-Cryst Solids 353:1732-1740. (Pubitemid 46693830)
29. Jacobs DJ, Rader AJ, Kuhn LA, Thorpe MF (2001) Protein flexibility predictions using graph theory. Proteins Struct Funct Genet 44:150-165. (Pubitemid 32612109)
30. Thorpe MF (2008) Flexweb: analysis of flexibility in biomolecules and networks. Available at http://flexweb.asu.edu. Accessed May 1, 2009.
31. Jolley CC, Wells SA, Hespenheide BM, Thorpe MF, Fromme P (2006) Docking of photosystem I subunit C using a constrained geometric simulation. J Am Chem Soc 128:8803-8812.
32. Gohlke H, Thorpe MF (2006) A natural coarse graining for simulating large biomolecular motion. Biophys J 91:2115-2120. (Pubitemid 44352394)
33. Zwanzig R (1987) Rotational relaxation in a gear network. J Chem Phys 87:4870.
34. Silbert LE, Liu AJ, Nagel SR (2005) Vibrations and diverging length scales near the unjamming transition. Phys Rev Lett 95:098301.
35. Martin JE, Adolf D, Wilcoxon JP (1988) Viscoelasticity of near-critical gels. Phys Rev Lett 61:2620-2623.
36. Martin JE, Wilcoxon J, Odinek J (1991) Decay of density fluctuations in gels. Phys Rev A At Mol Opt Phys 43:858-872.