Abstract
By means of the molecular dynamics technique, we have prepared computer glasses and studied the structural, thermodynamic, transport and dynamical properties of the obtained glasses in comparison with those for corresponding liquids and crystals. The computer glasses have been produced by quenching under constant pressures a model liquid consisting of 864 atoms with the periodic boundary condition and with the interatomic interactions described by the Lennard-Jones (12–6) pair potentials. As for the macroscopically observable structural properties, we have measured the pair distribution function g(r) and calculated the structure factor S(q) by Fourier transforming g(r). The thermodynamic properties we have derived include specific volume as a function of temperature, thermal expansion coefficient, specific heat at constant volume, specific heat at constant pressure and isothermal compressibility. Concerning the transport properties, we have first evaluated the diffusion constant from the velocity autocorrelation function as well as from the mean square displacement, and secondly the shear viscosity from the stress autocorrelation function. The velocity autocorrelation function is also used to evaluate the power spectra which provide an indication for the behaviour of phonons in glasses. The glass transition temperatures by several definitions are estimated in connection with various physical properties mentioned above. The microscopic information for the atomic structures is analyzed in detail to elucidate the mechanism of the glass transition. In this context, we have derived the pair distribution function ḡ(r) of the time-averaged positions and a discussion is given of the cage-structure concept.
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
M.H. Cohen and G.S. Grest, Phys. Rev. 20, 1077 (1979)
W. Kauzmann, Chem. Rev. 43, 219, (1948) R.O. Davies and G.O. Jones, Adv. Phys. 2, 370 (1953)
C.A. Angell, J.H.R. Clarke, and L.V. Woodcock, in Advances in Chemical Physics, edited by I. Prigogine and S.A. Rice ( Wiley, New York, 1981 )
F.F. Abraham, J. Chem. Phys. 72, 359 (1980)
H.R. Wendt and F.F. Abraham, Phys. Rev. Lett. 41, 1244 (1978)
L.V. Woodcock, J. Chem. Soc., Faraday II, 72, 1667 (1976)
J.M. Gordon, J.H. Gibbs, and P.D. Fleming, J. Chem. Phys. 65, 2771 (1976)
J.N. Cape and L.V. Woodcock, J. Chem. Phys. 72, 976 (1980)
J.N. Cape, J.L. Finney, and L.V. Woodcock, J. Chem. Phys. 75, 2336 (1981)
Y. Hiwatari, J. Phys. Soc. Japan, 47, 733 (1979); J. Phys. C. 13, 5899 (1980)
A. Rahman, M.J. Mandell, and J.P. McTague, J. Chem. Phys. 64, 1564 (1976)
W.D. Kristensen, J. Non-Cryst. Solids, 21, 303 (1976)
J.H.R. Clarke, J. Chem. Soc. Faraday II, 75, 1371 (1979)
L.V. Woodcock, C.A. Angell, and P. Cheeseman, J. Chem. Phys. 65, 1565 (1976)
R. Zallen, in Fluctuation Phenomena, edited by E.W. Montroll and J.L. Lebowitz ( North Holland, Amsterdam, 1979 )
R. Collins, in Phase Transitions and Critical Phenomana, edited by C. Domb and M.S. Green ( Akademic, New York, 1972 )
A. Rahman, Phys. Rev. 136, A405 (1964)
L. Verlet, Phys. Rev. 159, 98 (1967)
H.C. Anderson, J. Chem. Phys. 72, 2384 (1980)
M. Parrinello and A. Rahman, Phys. Rev. Lett. 45, 1196 (1980)
Y. Waseda, The Structure of Non-Crystalline Materials, Liquids and Amorphous Solids, ( Mcgraw-Hill, New York, 1980 )
G.S. Cargill III, J. Appl. Phys. 41, 12 (1970)
G.S. Cargill III and S. Kirkpatrick, in AIP Conference Proceedings No. 31 Structures and Exitations of Amorphous Solids, edited by G.Lucovski and F.L. Galeener, (American Institute of Physics, New York, 1976 )
C.H. Bennett, J. Appl. Phys. 43, 2727 (1972)
S. Basak, R. Clarke and S.R. Nagel, Phys. Rev. B20, 3388 (1979)
J.D. Weeks, D. Chandler, and H.C. Anderson, J. Chem. Phys. 54, 5237 (1971)
S. Hudson and H.C. Anderson, J. Chem. Phys. 69, 2323 (1978)
J.L. Levowitz, J.K. Percus and L. Verlet, Phys. Rev. 153, 250 (1967)
J.H.R. Clarke, J. Chem. Soc. Faraday II, 76, 273 (1980)
R. Kubo, Reports on Progress in Physics, 29, 255 (1966)
A.J. Batschinski, Z. Physik. Chem. 84, 643 (1913)
J.H. Hildebrand, Viscosity and Diffusivity, ( Wiley, New York, 1976 )
A.K. Doolittle, J. Appl. Phys. 22, 1471 (1951)
M. Williams, R.F. Landel, and J.D. Ferry, J. Amer. Chem. Soc. 77, 3701 (1955)
B.J. Alder, D.M. Gass, and T.E. Wainwright, J. Chem. Phys. 53, 3813 (1970)
D. Levesque, L. Verlet, and J. Kurkijarvi, Phys. Rev. 7, 1690 (1973)
R. Zwanzig and N.K. Ailawadi, Phys. Rev. 182, 280 (1969)
J.M. Dickey and A. Paskin, Phys. Rev. 188, 1407 (1969)
G.S. Grest, S.R. Nagel, A. Rahman, and T.A. Witten, Jr, J. Chem. Phys. 74, 3532 (1981)
J.D. Bernal, Proc. Roy. Soc. A280, 299 (1964)
J.L. Finney, Proc. Roy. Soc. A319, 479 (1970)
C.A. Rogers, Packing and Covering, ( Cambridge, Univ. Press, 1964 )
M. Tanemura, Y. Hiwatari, T. Ogawa, H. Matsuda, A. Ueda, and N. Ogita, Prog. Theor. Phys. 58, 1079 (1977)
C.S. Hsu and A. Rahman, J. Chem. Phys. 70, 5254 (1979); ibid 11, 4974 (1980)
J. Frenkel, Kinetic Theory of Liquids, ( Clarendon Press, Oxford, 1946 )
H. Eyring, J. Chem. Phys. 4, 283 (1936)
T.G. Fox and P.J. Flory, J. Appl. Phys. 21, 581 (1950); J. Phys. Chem. 55, 221 (1951); J. Polym. Sci. 14, 315 (1954)
M.H. Cohen and D. Turnbull, J. Chem. Phys. 31, 1164 (1959)
D. Turnbull and M.H. Cohen, J. Chem. Phys. 34, 120 (1961); ibid 52, 3038 (1970)
About the analysis in this paragraph, we greatly benefit from the discussions with M.H. Cohen.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kimura, M., Yonezawa, F. (1983). Computer Glass Transition. In: Yonezawa, F., Ninomiya, T. (eds) Topological Disorder in Condensed Matter. Springer Series in Solid-State Sciences, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82104-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-82104-2_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82106-6
Online ISBN: 978-3-642-82104-2
eBook Packages: Springer Book Archive