Beta relaxation in the shear mechanics of viscous liquids: Phenomenology and network modeling of the alpha-beta merging region

Journal of Non-Crystalline Solids

Volumn 357, Issue 2, 2011, Pages 267-273

  Jakobsen, Bo ^a   Niss, Kristine ^a   Maggi, Claudio ^a   Olsen, Niels Boye ^a   Christensen, Tage ^a   Dyre, Jeppe C ^a  

^a ROSKILDE UNIVERSITY   (Denmark)

Author keywords

Beta relaxation; Glass forming liquids; Mechanical modelling; Shear modulus; Viscous liquids

Indexed keywords

BETA RELAXATION; GLASS-FORMING LIQUIDS; MECHANICAL MODELLING; SHEAR MODULUS; VISCOUS LIQUIDS;

ELASTIC MODULI; ELASTICITY; GLASS; GLASS FORMING MACHINES; MODELS;

DIELECTRIC LIQUIDS;

EID: 78751572802     PISSN: 00223093     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnoncrysol.2010.08.010     Document Type: Conference Paper

References (44)

1. B. Jakobsen, C. Maggi, T. Christensen, and J.C. Dyre Investigation of the shear-mechanical and dielectric relaxation processes in two monoalcohols close to the glass transition J. Chem. Phys. 129 2008 184502
2. R. Richert, K. Duvvuri, and L.T. Duong Dynamics of glass-forming liquids. VII. Dielectric relaxation of supercooled tris-naphthylbenzene, squalane, and decahydroisoquinoline J. Chem. Phys. 118 2003 1828
3. T. Christensen, and N.B. Olsen A rheometer for the measurement of a high-shear modulus covering more than 7 decades of frequency below 50 khz Rev. Sci. Instrum. 66 1995 5019
4. B. Igarashi, T. Christensen, E.H. Larsen, N.B. Olsen, I.H. Pedersen, T. Rasmussen, and J.C. Dyre A cryostat and temperature control system optimized for measuring relaxations of glass-forming liquids Rev. Sci. Instrum. 79 2008 045105
5. B. Igarashi, T. Christensen, E.H. Larsen, N.B. Olsen, I.H. Pedersen, T. Rasmussen, and J.C. Dyre An impedance-measurement setup optimized for measuring relaxations of glass-forming liquids Rev. Sci. Instrum. 79 2008 045106
6. T. Christensen, and N.B. Olsen Comparative measurements of the electrical and shear mechanical response function in some supercooled liquids J. Non-Cryst. Solids 172-174 1994 357
7. T. Christensen, and N.B. Olsen Quasistatic measurement of the frequenct-dependent bulk and shear modulus of supercooled liquids J. Non-Cryst. Solids 172-174 1994 362
8. B. Jakobsen, K. Niss, and N.B. Olsen Dielectric and shear mechanical alpha and beta relaxations in seven glass-forming liquids J. Chem. Phys. 123 2005 234511
9. "Glass and Time: Data repositorý́, Found online at: http://glass.ruc.dk/data
10. C.F. Behrens, T.G. Christiansen, T. Christensen, J.C. Dyre, and N.B. Olsen Dynamic viscosity of a simple glass-forming liquid - comment Phys. Rev. Lett. 76 1996 1553
11. C. Maggi, B. Jakobsen, T. Christensen, N.B. Olsen, and J.C. Dyre Supercooled liquid dynamics studied via shear-mechanical spectroscopy J. Phys. Chem. B 112 2008 16320
12. K. Niss, Fast and slow dynamics of glass-forming liquids, Ph.D. thesis, De L'Université de Paris XI, 2007.
13. A. Mandanici, R. Richert, M. Cutroni, X. Shi, S.A. Hutcheson, and G.B. McKenna Relaxational features of supercooled and glassy m-toluidine J. Non-Cryst. Solids 352 2006 4729
14. S.A. Hutcheson, and G.B. McKenna The measurement of mechanical properties of glycerol, m-toluidine, and sucrose benzoate under consideration of corrected rheometer compliance: An in-depth study and review J. Chem. Phys. 129 2008 074502
15. A. Mandanici, and M. Cutroni Multiple mechanical relaxations in ethylcyclohexane above the glass transition temperature J. Phys. Chem. B 111 2007 10999
16. A. Mandanici, and M. Cutroni A trace of the Johari-Goldstein relaxation in the mechanical response of supercooled ethylcyclohexane? Mater. Sci. Eng., A 279 2009 521 522
17. A. Mandanici, W. Huang, M. Cutroni, and R. Richert Dynamics of glass-forming liquids. xii. dielectric study of primary and secondary relaxations in ethylcyclohexane J. Chem. Phys. 128 2008 124505
18. A.I. Nielsen, T. Christensen, B. Jakobsen, K. Niss, N.B. Olsen, R. Richert, and J.C. Dyre Prevalence of approximate t relaxation for the dielectric α process in viscous organic liquids J. Chem. Phys. 130 2009 154508
19. R. Díaz-Calleja, E. Riande, and J.S. Román Román, Interconversion between mechanical and dielectric relaxations for poly(cyclohexyl acrylate) J. Polym. Sci., Part B: Polym. Phys. 31 1993 711
20. N. Menon, S.R. Nagel, and D.C. Venerus Dynamic viscosity of a simple glass-forming liquid Phys. Rev. Lett. 73 1994 963
21. E. Donth, M. Beiner, S. Reissig, J. Korus, F. Garwe, S. Vieweg, S. Kahle, E. Hempel, and K. Schröter Fine structure of the main transition in amorphous polymers: Entanglement spacing and characteristic length of the glass transition. Discussion of examples Macromolecules 29 1996 6589
22. R.D. Deegan, R.L. Leheny, N. Menon, S.R. Nagel, and D.C. Venerus Dynamic shear modulus of tricresyl phosphate and squalane J. Phys. Chem. B 1033 1999 4066
23. K. Schröter, and E. Donth Viscosity and shear response at the dynamic glass transition of glycerol J. Chem. Phys. 113 2000 9101
24. K. Schröter, and E. Donth Comparison of shear response with other properties at the dynamic glass transition of different glassformers J. Non-Cryst. Solids 307-310 2002 270
25. N.B. Olsen Scaling of beta-relaxation in the equilibrium liquid state of sorbitol J. Non-Cryst. Solids 235 1998 399
26. N.B. Olsen, T. Christensen, and J.C. Dyre Beta relaxation of nonpolymeric liquids close to the glass transition Phys. Rev. E 62 2000 4435
27. J.C. Dyre, and N.B. Olsen Minimal model for beta relaxation in viscous liquids Phys. Rev. Lett. 91 2003 155703
28. P. Debye Polar Liquids 1929 The Chemical Catalog Company, Inc
29. K. Niss, B. Jakobsen, and N.B. Olsen Dielectric and shear mechanical relaxations in glass-forming liquids: A test of the Gemant-DiMarzio-Bishop model J. Chem. Phys. 123 2005 234510
30. A. Gemant The conception of a complex viscosity and its application to dielectrics Trans. Faraday Soc. 31 1935 1582
31. E.A. DiMarzio, and M. Bishop Connection between macroscopic electric and mechanical susceptibilities J. Chem. Phys. 60 1974 3802
32. J.C. Dyre Some remarks on ac conduction in disordered solids J. Non-Cryst. Solids 135 1991 219
33. K.L. Ngai, and R.W. Rendell Interpreting the real part of the dielectric permittivity contributed by mobile ions in ionically conducting materials Phys. Rev. B 61 2000 9393
34. D.L. Sidebottom, B. Roling, and K. Funke Ionic conduction in solids: Comparing conductivity and modulus representations with regard to scaling properties Phys. Rev. B 63 2000 024301
35. N. Saǧlanmak, A.I. Nielsen, N.B. Olsen, J.C. Dyre, and K. Niss An electrical circuit model of the alpha-beta merging seen in dielectric relaxation of ultraviscous liquids J. Chem. Phys. 132 2010 024503
36. G. Harrison The Dynamic Properties of Supercooled Liquids 1976 Academic press (INC London LTD
37. K.S. Cole, and R.H. Cole Dispersion and absorption in dielectrics i. alternating current characteristics J. Chem. Phys. 9 1941 341
38. A.K. Jonscher Hopping losses in polarizable dielectric media Nature 250 1974 191
39. A.K. Jonscher The universal dielectric response Nature 267 1977 673
40. A.K. Jonscher Dielectric Relaxation in Solids 1983 Chelsea Dielectric Press Ltd London
41. A.J. Barlow, A. Erginsav, and J. Lamb Viscoelastic relaxation of supercooled liquids. ii, Proc. R. Soc. London, Ser. A, Mat. Phys Sciences 298 1967 481
42. R. Böhmer, G. Diezemann, B. Geil, G. Hinze, A. Nowaczyk, and M. Winterlich Correlation of primary and secondary relaxations in a supercooled liquid Phys. Rev. Lett. 97 2006 135701
43. J.D. Ferry Viscoelastic properties of polymers 1970 John Wiley
44. N.B. Olsen, T. Christensen, and J.C. Dyre Time-temperature superposition in viscous liquids Phys. Rev. Lett. 86 2001 1271