Why glass elasticity affects the thermodynamics and fragility of supercooled liquids

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

Volumn 110, Issue 16, 2013, Pages 6307-6312

  Yan, Le ^a   Düring, Gustavo ^a   Wyart, Matthieu ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GLASS;

ARTICLE; ELASTICITY; ENERGY; FRAGILITY; HEAT; LIQUID; MECHANICS; PRIORITY JOURNAL; RIGIDITY; THERMODYNAMICS;

COLD TEMPERATURE; ELASTICITY; GLASS; MODELS, CHEMICAL; MOLECULAR DYNAMICS SIMULATION; PHASE TRANSITION; THERMODYNAMICS;

EID: 84876224915     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1300534110     Document Type: Article

References (50)

1. Ediger MD, Angell CA, Nagel SR (1996) Supercooled liquids and glasses. J Phys Chem 100(31):13200-13212.
2. Debenedetti PG, Stillinger FH (2001) Supercooled liquids and the glass transition. Nature 410(6825):259-267.
3. Wang L, Angell CA, Richert R (2006) Fragility and thermodynamics in nonpolmeric glass forming liquids. J Chem Phys 125(7):074505.
4. Martinez LM, Angell CA (2001) A thermodynamic connection to the fragility of glass-forming liquids. Nature 410(6829):663-667.
5. Adam A, Gibbs JH (1965) On the temperature dependence of cooperative relaxation properties in glass-forming liquids. J Chem Phys 43(1):139.
6. Lubchenko V, Wolynes P (2007) Theory of structural glasses and supercooled liquids. Annu Rev Phys Chem 58:235-266.
7. Bouchaud JP, Biroli G (2004) On the Adam-Gibbs-Kirkpatrick-Thirumalai- Wolynes scenario for the viscosity increase in glasses. J Chem Phys 121(15):7347.
8. Dyre JC (2005) The glass transition and elastic models of glass-forming liquids. Rev Mod Phys 78(3):953-972.
9. Hall RW, Wolynes PG (2003) Microscopic theory of network glasses. Phys Rev Lett 90(8):085505.
10. Bevzenko D, Lubchenko V (2009) Stress distribution and the fragility of supercooled melts. J Phys Chem B 113(51):16337-16345.
11. Shintani H, Tanaka H (2008) Universal link between the boson peak and transverse phonons in glass. Nat Mater 7(11):870-877.
12. Anderson AC (1981) Amorphous Solids, Low Temperature Properties, ed Phillips WA (Springer, Berlin).
13. Novikov VN, Ding Y, Sokolov AP (2005) Correlation of fragility of supercooled liquids with elastic properties of glasses. Phys Rev E Stat Nonlin Soft Matter Phys 71(6):061501.
14. Ngai KL, Sokolov AP, Steffen W (1997) Correlations between boson peak strength and characteristics of local segmental relaxation in polymers. J Chem Phys 107(13):5268.
15. Tatsumisago M, Halfpap BL, Green JL, Lindsay SM, Angell CA (1990) Fragility of Ge-As-Se glass-forming liquids in relation to rigidity percolation, and the Kautzman paradox. Phys Rev Lett 64(13):1549-1552.
16. Ito K, Moynihan C, Angell CA (1999) Thermodynamic determination of fragility in liquids and a fragile-to-strong liquid transition in water. Nature 398(6727):492-495.
17. Kamitakahara WA, et al. (1991) Vibrational densities of states and network rigidity in chalcogenide glasses. Phys Rev B 44(1):94-100.
18. Phillips JC (1979) Topology of covalent non-crystalline solids I: Short-range order in chalcogenide alloys. J Non-Cryst Solids 34(2):153-181.
19. Phillips JC, Thorpe MF (1985) Constraint theory, vector percolation and glass formation. Solid State Commun 53(8):699-702.
20. Böhmer R, Angell CA (1991) Correlations of the nonexponentiality and state dependence of mechanical relaxations with bond connectivity in Ge-As-Se supercooled liquids. Phys Rev B 45(17):10091-10094.
21. Micoulaut M, Boolchand P (2003) Comment on microscopic theory of network glasses. Phys Rev Lett 91(15):159601.
22. Wyart M, Nagel SR, Witten TA (2005) Geometric origin of excess low-frequency vi-brational modes in weakly connected amorphous solids. Europhys Lett 72(3):486-492.
23. Wyart M (2005) On the rigidity of amorphous solids. Ann Phys (Paris) 30(3):1.
24. O'Hern CS, Silbert LE, Liu AJ, Nagel SR (2003) Jamming at zero temperature and zero applied stress: The epitome of disorder. Phys Rev E Stat Nonlin Soft Matter Phys 68(1):011306.
25. Brito C, Dauchot O, Biroli G, Bouchand JP (2010) Elementary excitation modes in a granular glass above jamming. Soft Matter 6(13):3013-3022.
26. Xu N, Wyart M, Liu AJ, Nagel SR (2007) Excess vibrational modes and the Boson peak in model glasses. Phys Rev Lett 98(17):175502.
27. Brito C, Wyart M (2009) Geometric interpretation of previtrification in hard sphere liquids. J Chem Phys 131(2):024504.
28. Ghosh A, Chikkadi VK, Schall P, Kurchan J, Bonn D (2010) Density of states of colloidal glasses. Phys Rev Lett 105(24):248305.
29. Chen K, et al. (2010) Low-frequency vibrations of soft colloidal glasses. Phys Rev Lett 105(2):025501.
30. Trachenko KO, Dove MT, Harris MJ, Heine V (2000) Dynamics of silica glass: Two-level tunnelling states and low-energy floppy modes. J Phys Condens Matter 12(37):8041-8064.
31. Liu AJ, Nagel SR, van Saarloos W, Wyart M (2010) Dynamical Heterogeneities in Glasses, Colloids and Granular Media, eds Berthier L, Biroli G, Bouchaud JP, van Saarloos W (Oxford Univ Press, Oxford), pp 298-340.
32. Garboczi EJ, Thorpe MF (1985) Effective-medium theory of percolation on central-force elastic networks. II. Further results. Phys Rev B 31(11):7276-7681.
33. Boolchand P, Lucovsky G, Phillips JC, Thorpe MF (2005) Self-organization and the physics of glassy networks. Philos Mag 85(32):3823-3838.
34. Wyart M, Liang H, Kabla A, Mahadevan L (2008) Elasticity of floppy and stiff random networks. Phys Rev Lett 101(21):215501.
35. Düring G, Lerner E, Wyart M (2013) Phonon gap and localization lengths in floppy materials. Soft Matter 9(1):146-154.
36. Ellenbroek WG, Zeravcic Z, van Saarloos W, Hecke M (2009) Non-affine response: Jammed packings vs. spring networks. Europhys Lett 87(3):34004.
37. Wyart M (2010) Scaling of phononic transport with connectivity in amorphous solids. Europhys Lett 89(6):64001.
38. Grannan ER, Randeria M, Sethna PJ (1990) Low-temperature properties of a model glass. I. Elastic dipole model. Phys Rev B 41(11):7784-7798.
39. Calladine CR (1978) Buckminster Fuller's tensegrity structures and Clerk Maxwell's rules for the construction of stiff frames. Int J Solids Struct 14(2):161-172.
40. Wyart M (2010) Correlations between vibrational entropy and dynamics in liquids. Phys Rev Lett 104(9):095901.
41. Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci USA 79(8):2554-2558.
42. Hayes B (2002) The easiest hard problem. Am Sci 90(2):113-117.
43. Mertens S (2001) A physicist's approach to number partitioning. Theor Comput Sci 265(1-2):79-108.
44. Derrida B (1981) Random-energy model: An exactly solvable model of disordered systems. Phys Rev B 24(5):2613-2626.
45. Cherrier R, Dean DS, Lefèvre A (2003) Role of the interaction matrix in mean-field spin glass models. Phys Rev E Stat Nonlin Soft Matter Phys 67(4):046112.
46. Caltagirone F, et al. (2012) Critical slowing down exponents of mode coupling theory. Phys Rev Lett 108(8):085702.
47. Berthier L, Witten TA (2009) Compressing nearly hard sphere fluids increases glass fragility. Europhys Lett 86(1):10001.
48. Berthier L, Tarjus G (2011) Nonperturbative effect of attractive forces in viscous liquids. Phys Rev Lett 103(17):170601.
49. Cammarota C, Biroli G, Tarzia M, Tarjus G (2012) On the fragility of the mean-field scenario of structural glasses for finite-dimensional disordered spin models. arXiv: 1210.2941.
50. Widmer-Cooper A, Pierry H, Harrowell P, Reichman D (2008) Irreversible reorganization in a supercooled liquid originates from localized soft modes. Nat Phys 4(9):711-715.