Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Jackle, J. (1986) Models of the glass transition Rep. Prog. Phys., 49, 171–231
Ediger, M.D., Angell, C.A. & Nagel, S.R. (1996) Supercooled liquids and glasses J. Phys. Chem. 100, 13200–13212
Angell, C. A. (1991) Relaxation in liquids, polymers and plastic crystals — strong/fragile patterns and problems, Journ. of Non-Cryst. Solids, 131–133, 13 (1991)
Angell, C. A. (1997) Entropy and fragility in supercooled liquids Journ. of Res. of the Nat. Inst. of Stand. and Techn 102 171–185
Kirkpatrick, T. R, Thirumalai, D. & Wolynes, P. G. (1989) Scaling concepts for the dynamics of viscous-liquids near an ideal glassy state. Phys. Rev. A 40, 1045–1054
Götze, W., and Sjögren, L. (1992) Relaxation processes in supercooled liquids, Reports on Progress in Physics, 55, 241–295
Blackburn, F. R., Wang, C.-Y. & Ediger, M. D. (1996) Translational and rotational motion of probes in supercooled 1,3,5-tris(naphthyl)benzene. J. Phys. Chem. 100, 18249–18257
Sillescu, H. (1999) Heterogeneity at the glass transition: a review. J. Non-Cryst. Solids 243, 81–108
Kivelson, D., Kivelson, S. A., Zhao, X., Nussinov, Z. & Tarjus, G. (1995) A thermodynamic theory of supercooled liquids. Physica A 219, 27–38
Fischer, E. W. (1993) Light scattering and dielectric studies on glass forming liquids. Physica A 201, 183–206
Palmer, R. G. (1982) Broken ergodicity Adv. in Phys. 31, 669–735
Ma, S.-K., (1996) Statistical mechanics, World Scientific, Singapore (1985)
Lichtenberg, A. J. and Lieberman, M. A. (1983) Regular and Stochastic Motion, Springer Verlag, NY
Mountain, R. D. and Thirumalai, D. (1989) Measures of effective ergodic convergence in liquids Journ. of Phys. Chem, 93, 6975
Krylov, N. S. Works on the Foundations of Statistical Physics, Princeton Series in Physics, Princeton 1979; see also Sinai, Ya. G. Development of Krylov’s Ideas, pp. 239–281 of the same volume.
Sinai, Ya. G. (1966) Izv. Akad. Nauk SSSR. Mt 30, 15–32 (in Russian)
Dzugutov, M., (1996) Dynamical diagnostics of ergodicity breaking in supercooled liquids J. Phys. Cond. Matter, 11, 253–259
Dzugutov, M., (1996) A universal scaling law for atomic diffusion in condensed matter Nature, 381, 137–139
J. P. Boon and S. Yip, (1980) Molecular Hydrodynamics, McGraw-Hill, New York
Cohen, E. D. G. (1993) Fifty years of kinetic theory Physica A, 194, 229–257
Stillinger, F. H. & Weber, T. A. (1984) Packing structures and transitions in liquids and solids. Science 225, 983–989
Hansen, J. P. and McDonald, I. (1976) Theory of Simple Liquids, Academic Press, London
S. Chapman and T. G. Cowling, (1939) The mathematical theory of non-uniform gases, Cambridge University Press
Mountain, R. D. & Raveche, H., (1971) Entropy and correlation functions in open systems. II Two-and three-body correlations Journ. Chem. Phys. 35, 2250–2255
Pesin, Ja. B. (1976) Lyapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure Sov. Math. Dokl., 17, 196–203 (in Russian)
Dzugutov, M., Aurell, E., and Vulpiani, A., (1998) A universal relation between the Kolmogorov-Sinai entropy and the thermodynamic entropy in simple liquids Phys. Rev. Lett. 81, 1762
Adam, G. and Gibbs, J.H., (1965) On the temperature dependence of cooperative relaxation properties in glass-forming liquids Journ. Chem. Phys. 43, 139–146
Rosenfeld, Ya., (1977) Relation between the transport coefficients and the internal entropy of simple systems Phys. Rev. A, 15, 2545–2549
Di Marzio, E. A. and Yang, A. J. M. (1997) Configurational entropy approach to kinetics of glasses, Journ. of Res. of the Nat. Inst. of Stand. and Techn 102, 135–157
Sastry, S., Debenedetti, P., and Stillinger F. H. (1998) Signatures of distinct dynamical regimes in the energy landscape of a glass forming liquid Nature, 393, 554–557; Angell, C. A. Liquid landscape ibid., 521–524
Eldridge, M. D., Madden, P. A., and Frenkel, D. (1993) Entropy driven formation of a superlattice in a hard sphere binary mixture Nature, 365, 35
Dzugutov, M. (1992) Glass formation in a simple monatomic liquid with icosahedral inherent local order. Phys. Rev. A 46, R2984–R2987
Dzugutov, M. (1994) Hopping diffusion as a mechanism of relaxation stretching in a stable simple monatomic liquid. Europhys. Lett. 26, 533–538
Donati, C., Douglas, J. F., Kob, W., Plimpton, S.J., Poole, P.H. & Glotzer, S.C. (1998) Stringlike cooperative motion in a supercooled liquid. Phys. Rev. Lett. 80, 2338–2341
Phillips, J.C., and Thorpe, M.F., (1985) Constraints theory, vector percolation and glass formation, Dynamics of glass-forming materials confined in thin films Sol. St. Comm. 53, 699–702
Jérôme, B. (1999) Dynamics of glass-forming materials confined in thin films Journ. Phys. Cond. Matter 11, 189–199
Humphrey, W., Dalke, A., and Schulten, K., (1996) VMD — visual molecular dynamics, Molecular Graphics 14, 33–38
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Dzugutov, M., Simdyankin, S., Zetterling, F. (2002). Non-Ergodic Dynamics in Supercooled Liquids. In: Thorpe, M.F., Phillips, J.C. (eds) Phase Transitions and Self-Organization in Electronic and Molecular Networks. Fundamental Materials Research. Springer, Boston, MA. https://doi.org/10.1007/0-306-47113-2_8
Download citation
DOI: https://doi.org/10.1007/0-306-47113-2_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46568-0
Online ISBN: 978-0-306-47113-1
eBook Packages: Springer Book Archive