High-frequency asymptotic shape of the primary relaxation in supercooled liquids

Europhysics Letters

Volumn 39, Issue 4, 1997, Pages 447-452

  Leheny, R L ^a   Nagel, S R ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031571424     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1997-00375-2     Document Type: Article

References (17)

1. For a review, see: EDIGER M. D., ANGELL C. A. and NAGEL S. R., J. Phys. Chem., 100 (1996) 13200.
2. DAVIDSON D. W. and COLE R. H., J. Chem. Phys., 19 (1951) 1484.
3. LUNKENHEIMER P., PIMENOV A., SCHIENER B., BÖHMER R. and LOIDL A., Europhys. Lett., 33 (1996) 611. This paper includes broad frequency measurements of ε″ (ν) in glycerol, including a study of the second power law region which we discuss. For the temperatures at which they overlap, our results are consistent with those measurements.
4. MENON N. and NAGEL S. R., Phys. Rev. Lett., 74 (1995) 1230.
5. DIXON P. K., WU L., NAGEL S. R., WILLIAMS B. D. and GARINI J. P., Phys. Rev. Lett., 65 (1990) 1108.
6. The general applicability (see SCHONHALS A., KREMER F. and SCHLOSSER E., Phys. Rev. Lett., 67 (1991) 999; MENON N. and NAGEL S. R., Phys. Rev. Lett., 71 (1993) 4095) and strict validity (see KUDLIK A., BENKHOF S., LENK R. and RÖSSLER E., Europhys. Lett., 32 (1995) 511; LEHENY R. L., MENON N. and NAGEL S. R., Europhys. Lett., 36 (1996) 473) of the scaling procedure have been the subject of controversy. However, these debates do not take issue with the high-frequency shape of the scaling curve from which the arguments we present have been developed.
7. The general applicability (see SCHONHALS A., KREMER F. and SCHLOSSER E., Phys. Rev. Lett., 67 (1991) 999; MENON N. and NAGEL S. R., Phys. Rev. Lett., 71 (1993) 4095) and strict validity (see KUDLIK A., BENKHOF S., LENK R. and RÖSSLER E., Europhys. Lett., 32 (1995) 511; LEHENY R. L., MENON N. and NAGEL S. R., Europhys. Lett., 36 (1996) 473) of the scaling procedure have been the subject of controversy. However, these debates do not take issue with the high-frequency shape of the scaling curve from which the arguments we present have been developed.
8. The general applicability (see SCHONHALS A., KREMER F. and SCHLOSSER E., Phys. Rev. Lett., 67 (1991) 999; MENON N. and NAGEL S. R., Phys. Rev. Lett., 71 (1993) 4095) and strict validity (see KUDLIK A., BENKHOF S., LENK R. and RÖSSLER E., Europhys. Lett., 32 (1995) 511; LEHENY R. L., MENON N. and NAGEL S. R., Europhys. Lett., 36 (1996) 473) of the scaling procedure have been the subject of controversy. However, these debates do not take issue with the high-frequency shape of the scaling curve from which the arguments we present have been developed.
9. The general applicability (see SCHONHALS A., KREMER F. and SCHLOSSER E., Phys. Rev. Lett., 67 (1991) 999; MENON N. and NAGEL S. R., Phys. Rev. Lett., 71 (1993) 4095) and strict validity (see KUDLIK A., BENKHOF S., LENK R. and RÖSSLER E., Europhys. Lett., 32 (1995) 511; LEHENY R. L., MENON N. and NAGEL S. R., Europhys. Lett., 36 (1996) 473) of the scaling procedure have been the subject of controversy. However, these debates do not take issue with the high-frequency shape of the scaling curve from which the arguments we present have been developed.
10. The original divergence argument [4] was constructed from an equation similar to eq. (1) relating a to the scaling parameter, w. 1/w is closely related, but not identical, to β.
11. BITKO D., MENON N., NAGEL S. R., ROSENBAUM T. F. and AEPPLI G., Europhys. Lett., 33 (1996) 489.
12. The data we present is for fully deuterated propylene glycol. We have measured ε″ (ν) for the undeuterated liquid and find the shape and position of the spectra identical at all temperatures to that for the deuterated liquid.
13. See, e.g., DEEGAN R. D. and NAGEL S. R., Phys. Rev. B, 52 (1995) 5653; WU L., Phys. Rev. B, 43 (1991) 9906.
14. See, e.g., DEEGAN R. D. and NAGEL S. R., Phys. Rev. B, 52 (1995) 5653; WU L., Phys. Rev. B, 43 (1991) 9906.
15. LUNKENHEIMER P., PIMENOV A., DRESSEL M., GONCHAROV Y. G., BÖHMER R. and LOIDL A., Phys. Rev. Lett., 77 (1996) 318.
16. STRUIK L. C. E., Physical Aging in Amorphous Polymers and Other Materials (Elsevier, Amsterdam) 1978.
17. SCHÖNHALS A., KREMER F., HOFMANN A., FISCHER E. W. and SCHLOSSER E., Phys. Rev. Lett., 70 (1993) 3459.