Frequency-dependent specific heat from thermal effusion in spherical geometry

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 6, 2010, Pages

  Jakobsen, Bo ^a   Olsen, Niels Boye ^a   Christensen, Tage ^a  

^a ROSKILDE UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY RANGES; FREQUENCY-DEPENDENT; HEAT GENERATORS; HIGHER ORDER; MECHANICAL BOUNDARIES; SPHERICAL GEOMETRIES; TEMPERATURE DEPENDENCE; THERMAL WAVE;

ETHERS; GLASS TRANSITION; PUMPS; SPECIFIC HEAT; THERMISTORS;

CALORIMETRY;

EID: 77953969920     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.061505     Document Type: Article

References (22)

1. G. Harrison, The Dynamic Properties of Supercooled Liquids (Academic, New York, 1976).
2. R. O. Davies and G. O. Jones, Adv. Phys. 2, 370 (1953). 10.1080/00018735300101252
3. N. O. Birge and S. R. Nagel, Phys. Rev. Lett. 54, 2674 (1985). 10.1103/PhysRevLett.54.2674
4. T. Christensen, J. Phys. (Paris), Colloq. 46, C8-635 (1985). 10.1051/jphyscol:19858102
5. T. Christensen and N. B. Olsen, J. Non-Cryst. Solids 235-237, 296 (1998). 10.1016/S0022-3093(98)00591-2
6. H. Huth, A. A. Minakov, A. Serghei, F. Kremer, and C. Schick, Eur. Phys. J. Spec. Top. 141, 153 (2007). 10.1140/epjst/e2007-00033-y
7. N. O. Birge, Phys. Rev. B 34, 1631 (1986). 10.1103/PhysRevB.34.1631
8. I. K. Moon, Y. H. Jeong, and S. I. Kwun, Rev. Sci. Instrum. 67, 29 (1996). 10.1063/1.1146545
9. N. O. Birge, P. K. Dixon, and N. Menon, Thermochim. Acta 304-305, 51 (1997). 10.1016/S0040-6031(97)00201-3
10. A. A. Minakov, S. A. Adamovsky, and C. Schick, Thermochim. Acta 377, 173 (2001). 10.1016/S0040-6031(01)00552-4
11. A. A. Minakov, S. A. Adamovsky, and C. Schick, Thermochim. Acta 403, 89 (2003). 10.1016/S0040-6031(03)00090-X
12. T. Christensen, N. B. Olsen, and J. C. Dyre, Phys. Rev. E 75, 041502 (2007). 10.1103/PhysRevE.75.041502
13. T. Christensen, N. B. Olsen, and J. C. Dyre, in 5th International Workshop on Complex Systems, AIP Conf. Proc. No. 982, edited by, M. Tokuyama,,, I. Oppenheim,, and, H. Nishiyama, (AIP, Melville, NY, 2008), p. 139.
14. T. Christensen and J. C. Dyre, Phys. Rev. E 78, 021501 (2008). 10.1103/PhysRevE.78.021501
15. T. Christensen and N. B. Olsen, Phys. Rev. B 49, 15396 (1994). 10.1103/PhysRevB.49.15396
16. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Clarendon Press, Oxford, 1959).
17. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd ed. (Pergamon, London, 1986).
18. N. O. Birge and S. R. Nagel, Rev. Sci. Instrum. 58, 1464 (1987). 10.1063/1.1139434
19. - 3 Hz at which the thermal wavelength is still shorter than the sample size (we are still in the thermally thick limit). However, the dc impedance does see the outer boundary, as it has "infinite" time to reach steady state. To compensate for this we add a small frequency, temperature, and amplitude-independent correction term to the limiting value of Z 2 when estimating Z 0. This correction term value was chosen, so that measurements with different amplitudes give the same values for A (T).
20. B. Igarashi, T. Christensen, E. H. Larsen, N. B. Olsen, I. H. Pedersen, T. Rasmussen, and J. C. Dyre, Rev. Sci. Instrum. 79, 045105 (2008). 10.1063/1.2903419
21. B. Igarashi, T. Christensen, E. H. Larsen, N. B. Olsen, I. H. Pedersen, T. Rasmussen, and J. C. Dyre, Rev. Sci. Instrum. 79, 045106 (2008). 10.1063/1.2906401
22. Scientific Instrument Service, Inc., Specifications for Santovac 5 and Santovac 5p Ultra, 2008; http://www.sisweb.com/catalog/08/F14