Study of the heating effect contribution to the nonlinear dielectric response of a supercooled liquid

Journal of Chemical Physics

Volumn 133, Issue 23, 2010, Pages

  Brun, C ^a   Crauste Thibierge, C ^b   Ladieu, F ^a   Lhote D ^a  

^a CEA SACLAY   (France)

^b CNRS UMR 3299   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC MEASUREMENTS; ELECTRIC POWER; GLASS TRANSITION TEMPERATURE; GLASS-FORMING LIQUID; HEATING EFFECT; HIGH FREQUENCY; NONLINEAR DIELECTRIC RESPONSE; NONLINEAR SUSCEPTIBILITIES; RELAXATION FREQUENCY; SUPERCOOLED LIQUIDS; TEMPERATURE DEPENDENCE; TEMPERATURE MODULATION; THIRD HARMONIC;

GLASS TRANSITION; GLYCEROL; HEATING; SUPERCOOLING;

LIQUIDS;

EID: 78650687518     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3507252     Document Type: Article

References (25)

1. P. G. Debenedetti and F. H. Stilinger, Nature (London) 410, 259 (2001). 10.1038/35065704 (Pubitemid 32218700)
2. B. Schiener, R. Bhmer, A. Loidl, and R. V. Chamberlin, Science 274, 752 (1996). 10.1126/science.274.5288.752 (Pubitemid 26398248)
3. U. Tracht, M. Wilhem, A. Heuer, H. Feng, K. Schmidt-Rohr, and H. W. Speiss, Phys. Rev. Lett. 81, 2727 (1998). 10.1103/PhysRevLett.81.2727
4. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000). 10.1146/annurev. physchem.51.1.99
5. R. Richert, J. Phys.: Condens. Matter 14, R703 (2002). 10.1088/0953-8984/14/23/201 (Pubitemid 34715147)
6. M. M. Hurley and P. Harowell, Phys. Rev. E 52, 1694 (1995). 10.1103/PhysRevE.52.1694
7. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. El Masri, D. L'Hte, F. Ladieu, and M. Pierno, Science 310, 1797 (2005). 10.1126/science. 1120714 (Pubitemid 41818947)
8. L. Berthier, G. Biroli, J.-P. Bouchaud, W. Kob, K. Miyazaki, and D. R. Reichman, J. Chem. Phys. 126, 184503 (2007). 10.1063/1.2721554 (Pubitemid 46745219)
9. C. Dalle-Ferrier, C. Thibierge, C. Alba-Simionesco, L. Berthier, G. Biroli, J.-P. Bouchaud, F. Ladieu, D. L'Hte, and G. Tarjus, Phys. Rev. E 76, 041510 (2007). 10.1103/PhysRevE.76.041510 (Pubitemid 350023311)
10. J.-P. Bouchaud and G. Biroli, Phys. Rev. B 72, 064204 (2005). 10.1103/PhysRevB.72.064204 (Pubitemid 41506558)
11. C. Thibierge, D. LHte, F. Ladieu, and R. Tourbot, Rev. Sci. Instrum. 79, 103905 (2008). 10.1063/1.2960564
12. C. Crauste-Thibierge, C. Brun, F. Ladieu, D. LHte, G. Biroli, and J. P. Bouchaud, Phys. Rev. Lett. 104, 165703 (2010). 10.1103/PhysRevLett.104.165703
13. C. Crauste-Thibierge, C. Brun, F. Ladieu, D. LHte, G. Biroli, and J. P. Bouchaud, EPAPS of Ref., available at http://prl.aps.org/epaps/PRL/v104/i16/ e165703/Crauste-EPAPS-modified.pdf.
14. W. Huang and R. Richert, Eur. Phys. J. B 66, 217 (2008). 10.1140/epjb/e2008-00416-2
15. R. Richert and S. Weinstein, Phys. Rev. Lett. 97, 095703 (2006). 10.1103/PhysRevLett.97.095703 (Pubitemid 44335282)
16. S. Weinstein and R. Richert, Phys. Rev. B 75, 064302 (2007). 10.1103/PhysRevB.75.064302
17. J. L. Djardin and Yu. P. Kalmykov, Phys. Rev. E 61, 1211 (2000). 10.1103/PhysRevE.61.1211
18. The Debye dynamics can be also obtained by starting with the noninertial Langevin equation for the rotational Brownian motion of a particule by appropriate transformation of the variables and direct averaging of the stochastic equation so obtained.
19. 1, the latter quantity is taken as a constant when solving Eq.
20. N. O. Birge, Phys. Rev. B 34, 2674 (1986); 10.1103/PhysRevB.34.1631 N. O. Birge and S. R. Nagel, Phys. Rev. Lett. 54, 1631 (1985). 10.1103/PhysRevB.54. 1631
21. 2. Besides, we also neglect the possible thermal resistance associated to the interface glycerol/electrode: this is supported by the thorough study of Minakov who has showed, for the Glycerol/Macor interface, that such an effect was responsible of only 5 of the temperature increase, see Ref.
22. A. A. Minakov, S. A. Adamovsky, and C. Schick, Thermochim. Acta 403, 89 (2003). 10.1016/S0040-6031(03)00090-X
23. 4≃0.985 in the present definition of TWhite star.
24. H. Frlich, Theory of Dielectrics (Clarendon, Oxford, 1958).
25. 2, see Ref., but it is in general not valid for computing the dc temperature increase. The difference lies in the fact that, because of the skin effect, the temperature oscillations are efficiently damped in the thick electrodes, while the dc component is not damped at all. The dc heat flux is thus fully transmitted by the electrodes, and the unavoidable insulating piece between the electrode and the experimental cell is responsible for the major part of the dc temperature increase. The only way to get rid of the dc heating is to perform extremely fast experiments, in the spirit of what is made in the seminal Ref., so as to measure the sample properties in a time scale much lower than the thermal diffusion time between the sample and the experimental cell.