The Prigogine-Defay ratio and the microscopic theory of supercooled liquids

Journal of Chemical Physics

Volumn 129, Issue 12, 2008, Pages

  Pick, R M ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CRYOGENIC LIQUIDS; DYNAMICS; FLUID DYNAMICS; FLUID MECHANICS; LIQUIDS; MOLECULAR DYNAMICS; QUANTUM CHEMISTRY; REAL TIME SYSTEMS; RELAXATION PROCESSES; SUPERCOOLING;

MICROSCOPIC THEORY; RELAXATION DYNAMICS; RELAXATION FUNCTIONS; SUPER-COOLED LIQUIDS;

NAVIER STOKES EQUATIONS;

EID: 52949141412     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2969899     Document Type: Article

References (15)

1. R. O. Davies and G. O. Jones, Proc. R. Soc. London, Ser. A 1364-5021 217, 26 (1952); R. O. Davies and G. O. Jones, Adv. Phys. 2, 370 (1953).
2. I. Prigogine and R. Defay, Chemical Thermodynamics (Longman, London, 1954).
3. N. L. Ellegaard, T. Christensen, P. V. Christiansen, N. B. Olsen, U. R. Pedersen, T. B. Schrøder, and J. C. Dyre, J. Chem. Phys. 126, 074502 (2007).
4. Contrary to what had been done in Refs., we use, here, the "classical" form of a Laplace transform, f (ω) = 0∞ exp (-iωt) f (t) dt, in order to make easier the contact with other papers where such relations are used. This results in changes by a coefficient i between some of the expressions reported here and the results given in the two above quoted papers.
5. T. Franosch, A. Latz, and R. M. Pick, Eur. Phys. J. B 31, 229 (2003).
6. T. Franosch and R. M. Pick, Eur. Phys. J. B 47, 341 (2005).
7. F. H. Stillinger and F. A. Weber, Phys. Rev. A 1050-2947 28, 2048 (1983); F. Sciortino, J. Stat. Mech.: Theory Exp. 2, P05015 (2005).
8. A. Azzimani, C. Dreyfus, R. M. Pick, P. Bartolini, A. Taschin, and R. Torre, see EPAPS Document No. E-PLEEE8-75-048705.
9. T. Christensen, N. O. Olsen, and J. C. Dyre, Phys. Rev. E 75, 041502 (2007).
10. U. R. Pedersen, T. Christensen, T. B. Schrøder, and J. C. Dyre, Phys. Rev. E 77, 011201 (2008).
11. W. Kob and H. C. Andersen, Phys. Rev. Lett. 73, 1376 (1994).
12. This flow is, for instance, in the z direction in which moves the piston necessary for the measurement of κT -1 (ω).
13. N. O. Birge and S. R. Nagel, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.54.2674 54, 2674 (1985); N. O. Birge, Phys. Rev. B 34, 1631 (1986).
14. H. P. Zhang, A. Brodin, H. C. Barshilia, G. Q. Shen, H. Z. Cummins, and R. M. Pick, Phys. Rev. E 70, 011502 (2004).
15. C. Dreyfus, A. Aouadi, R. M. Pick, T. Berger, A. Patkowski, and W. Steffen, Eur. Phys. J. B 1434-6028 10.1007/s100510050783 9, 401 (1999); A. Azzimani, C. Dreyfus, R. M. Pick, P. Bartolini, A. Taschin, and R. Torre, Phys. Rev. E 76, 011510 (2007).