Transport properties of glass-forming liquids suggest that dynamic crossover temperature is as important as the glass transition temperature

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

Volumn 107, Issue 52, 2010, Pages 22457-22462

  Mallamace, Francesco ^a,b,c   Branca, Caterina ^a   Corsaro, Carmelo ^a   Leone, Nancy ^a   Spooren, Jeroen ^a   Chen, Sow Hsin ^b   Stanley, H Eugene ^c  

^a UNIVERSITY OF MESSINA   (Italy)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c USA   (United States)

Author keywords

Dynamic transition; Dynamical arrest; Supercooled liquids

Indexed keywords

ARTICLE; CALORIMETRY; DATA ANALYSIS; GLASS FORMING LIQUID; GLASS TRANSITION TEMPERATURE; LIQUID; PRIORITY JOURNAL; SHEAR FLOW; TEMPERATURE MEASUREMENT; THERMODYNAMICS; TRANSPORT KINETICS; VISCOSITY;

ALGORITHMS; CALORIMETRY; GLASS; PHASE TRANSITION; SOLVENTS; THERMODYNAMICS; TRANSITION TEMPERATURE; VISCOSITY;

EID: 78651095552     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1015340107     Document Type: Article

References (47)

1. Debenedetti PG (1996) Metastable Liquids: Concepts and Principles (Princeton Univ Press, Princeton, NJ).
2. Dyre JC (2006) The glass transition and elastic models of glass-forming liquids. Rev Mod Phys 78:953-972.
3. Edwards SF (1992) The glass transition. Int J Mod Phys B 6:1587-1594.
4. Lubchenko V, Wolynes PG (2007) Theory of structural glasses and supercooled liquids. Ann Rev Phys Chem 58:235-266.
5. Kivelson D, Tarjus G, Zhao X, Kivelson S (1996) Fitting of viscosity: Distinguishing dependencies predicted by various models of supercooled liquids. Phys Rev E 53:751-758.
6. Garrahan JP, Chandler D (2003) Coarse-grained microscopic model of glass-formers. Proc Natl Acad Sci USA 100:9710-9714.
7. Götze W, Sjögren L (1992) Relaxation processes in supercooled liquids. Rep Prog Phys 55:241-376.
8. Stillinger FH (1988) Supercooled liquids, glass transition and the Kauzmann paradox. J Chem Phys 88:7818-7825.
9. Eckmann JP, Procaccia I (2008) Ergodicity and slowing down in glass-forming systems with soft potentials: No finite-temperature singularities. Phys Rev E 78:011503.
10. Adams G, Gibbs JH (1965) On the temperature dependence of cooperative relaxation properties in glass-forming liquids. J Chem Phys 43:139-146.
11. Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 77:3701-3707.
12. Angell CA (1995) Formation of glasses from liquids and biomolecules. Science 267:1924-1935.
13. Taborek P, Kleinman RN, Bishop DJ (1986) Power law behavior in the viscosity of supercooled liquids. Phys Rev B 34:1835-1839.
14. Ito K, Moynihan CT, Angell CA (1999) Thermodynamic determination of fragility in liquids and a fragile-to-strong liquid transition in water. Nature 398:492-495.
15. Tracht U, et al. (1998) Length scale of dynamic heterogeneities at the glass transition determined by multidimensional nuclear magnetic resonance. Phys Rev Lett 81:2727-2730.
16. Tarjus G, Kivelson D (1995) Breakdown of the Stokes-Einstein relation in supercooled liquids. J Chem Phys 103:3071-3073.
17. Ediger MD (2000) Spatially heterogeneous dynamics in supercooled liquids. Annu Rev Phys Chem 51:99-128.
18. Swallen SF, Bonvallet PA, McMahon RJ, Ediger MD (2003) Self-diffusion of trisnaphthylbenzene near the glass transition temperature. Phys Rev Lett 90:015901.
19. Chang J, Sillescu H (1997) Heterogeneity at the glass transition: Translational and rotational self-diffusion. J Phys Chem B 101:8794-8801.
20. Pan AC, Garrahan JP, Chandler D (2005) Heterogeneity and growing length scales in the dynamics of kinetically constrained lattice gases in two dimensions. Phys Rev E 72:041106.
21. Stevenson JD, Schmalian J,Wolynes PG (2006) The shapes of cooperatively rearranging regions in glass-forming liquids. Nat Phys 2:268-274.
22. Lerner E, Procaccia I, Regev I (2009) Quantitative theory of a time-correlation function in a one-component glass-forming liquid with anisotropic potential. Phys Rev E 79:031501.
23. Boué L, Lerner E, Procaccia I, Zylberg J (2009) Predictive statistical mechanics for glass forming sistems. J Stat Mech 10.1088/1742-5468/2009/11/P11010.
24. Lerner E, Procaccia I, Zylberg J (2009) Statistical mechanics and dynamics of a three-dimensional glass-forming system. Phys Rev Lett 102:125701.
25. Garrahan JP, Chandler D (2002) Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems. Phys Rev Lett 89:035704.
26. Merolle M, Garrahan JP, Chandler D (2005) Space-time thermodynamics of the glass transition. Proc Natl Acad Sci USA 102:10837-10840.
27. Giovambattista N, Buldyrev SV, Starr F, Stanley HE (2003) Connection between Adam-Gibbs theory and spatially heterogeneous dynamics. Phys Rev Lett 90:085506.
28. Jung YJ, Garrahan JP, Chandler D (2004) Excitation lines and the breakdown of the Stokes-Einstein relation in supercooled liquids. Phys Rev E 69:061205.
29. Chong SH (2008) Connections of activated hopping processes with the breakdown of the Stokes-Einstein relation and with aspects of dynamical heterogeneities. Phys Rev E 78:041501.
30. Liu L, Chen SH, Faraone A, Yen CW, Mou CY (2005) Pressure dependence of fragile-to-strong transition and a possible second critical point in supercooled confined water. Phys Rev Lett 95:117802.
31. Mallamace F, et al. (2006) The fragile-to-strong dynamic crossover transition in confined water: Nuclear magnetic resonance results. J Chem Phys 124:161102.
32. Chen SH, et al. (2006) The violation of the Stokes-Einstein relation in supercooled water. Proc Natl Acad Sci USA 103:12974-12978.
33. Kumar P, et al. (2006) Glass transition in biomolecules and the liquid-liquid critical point of water. Phys Rev Lett 97:177802.
34. Kumar P, et al. (2007) Relation between the Widom line and the breakdown of the Stokes-Einstein relation in supercooled water. Proc Natl Acad Sci USA 104:9575-9579.
35. Xu L, et al. (2009) Appearance of a fractional Stokes-Einstein relation in water and a structural interpretation of its onset. Nat Phys 5:565-569.
36. Li G, Du WM, Sakai A, Cummins HZ (1992) Light-scattering investigation of α β relaxation near the liquid-glass transition of the molecular glass salol. Phys Rev A 46:3343-3356.
37. Yang Y, Nelson KA (1995) Impulsive stimulated light scattered from glass-forming liquids. II Salol relaxation dynamics, nonergodicity parameter, and testing of mode coupling theory. J Chem Phys 103:7732-7739.
38. Richert R, Angell CA (1998) Dynamics of glass-formimg liquids. V. On the link between molecular dynamics and configurational entropy. J Chem Phys 108:9016-9026.
39. Rössler E, Hess KU, Novikov VN (1998) Universal representation of viscosity in glass forming liquids. J Non-Cryst Solids 223:207-222.
40. Hecksher T, Nielsen AI, Boye Olsen N, Dyre JC (2008) Little evidence for dynamic divergences in ultraviscous molecular liquids. Nat Phys 4:737-741.
41. Elmatad YS, Chandler D, Garrahan JP (2009) Corresponding states of structural glass former. J Phys Chem B 113:5563-5567.
42. Mauro JC, Yue Y, Ellison AJ, Gupta PK, Allan DC (2009) Viscosity of glass-forming liquids. Proc Natl Acad Sci USA 106:19780-19784.
43. McKenna GB (2008) Glass dynamics: Diverging views on glass transition. Nat Phys 4:673-674.
44. Chong SH, Chen SH, Mallamace F (2009) A possible scenario for the fragile-to-strong dynamic crossover predicted by the extended mode-coupling theory for glass transition. J Phys Condens Matter 21:504101.
45. Douglas JF, Leporini D (1998) Obstruction model of the fractional Stokes-Einstein relation in glass-forming liquids. J Non-Cryst Solids 235-237:137-141.
46. Fernandez-Alonso F, et al. (2007) Observation of fractional Stokes-Einstein behavior in the simplest hydrogen-bonded liquid. Phys Rev Lett 98:077801.
47. Mapes MK, Swallen SF, Ediger MD (2006) Self-diffusion of supercooled o-terphenyl near the glass transition temperature. J Phys Chem B 110:507-511.