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Dynamics of a Supercooled Lennard-Jones System: Qualitative and Quantitative Tests of Mode-Coupling Theory

Published online by Cambridge University Press:  10 February 2011

Walter Kob*
Affiliation:
Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
Markus Nauroth
Affiliation:
Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
*
[*]Electronic mail: kob@moses.physik.uni-mainz.dehttp://www.cond-mat.physik.uni-mainz.de/~kob/home_kob.html
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Abstract

We present the results of a molecular dynamics computer simulation of a supercooled binary Lennard-Jones mixture. By investigating the temperature dependence of the diffusion constant and of the intermediate scattering function, we show that the ideal version of the mode-coupling theory of the glass transition is able to give a good qualitative description of the dynamics of this system. Using the partial structure factors, as determined from the simulation, as input, we solve the mode-coupling equations in the long time limit. From the comparison of the prediction of the theory for the critical temperature, the exponent parameter, the wave-vector dependence of the nonergodicity parameters and the critical amplitudes with the results of the simulation, we conclude that the theory is also able to predict correctly the non-universal properties of the dynamics of a supercooled simple liquid.

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

[1] Götze, W., in Liquids, Freezing and the Glass Transition Eds.: Hansen, J. P., Levesque, D. and Zinn-Justin, J., Les Houches. Session LI, 1989, (North-Holland, Amsterdam, 1991)i, p. 287;Google Scholar
Götze, W. and Sjögren, L., Rep. Prog. Phys. 55, 241 (1992);Google Scholar
Schilling, R., in Disorder Effects on Relaxational Processes Eds.: Richert, R. and Blumen, A., (Springer, Berlin, 1994), p. 193;Google Scholar
Cummins, H. Z., Li, G., Du, W. M., and Hernandez, J., Physica A 204, 169 (1994);Google Scholar
Kob, W., in Experimental and Theoretical Approches to Supercooled Liquids: Advances and Novel Applications Eds.: Fourkas, J., Kivelson, D., Mohanty, U. and Nelson, K., (ACS, Washington, 1997).Google Scholar
[2] Theme Issue on Relaxation Kinetics in Supercooled Liquids-Mode Coupling Theory and its Experimental Tests; Ed. Yip, S.. Volume 24, No. 6–8 (1995) of Transport Theory and Statistical Physics.Google Scholar
[3] Franosch, T., Fuchs, M., Götze, W., Mayr, M. R., and Singh, A. P., (preprint 1996).Google Scholar
[4] Kob, W. and Andersen, H. C., Phys. Rev. Lett. 73, 1376 (1994).Google Scholar
[5] Kob, W. and Andersen, H. C., Phys. Rev. E 51, 4626 (1995).Google Scholar
[6] Barrat, J.-L. and Latz, A., J. Phys.: Condens. Matter 2, 4289 (1990).Google Scholar
[7] Fuchs, M., PhD Thesis, University of Munich, 1993.Google Scholar
[8] Nauroth, M. and Kob, W., Phys. Rev. E (in press);Google Scholar
Nauroth, M., Diploma Thesis, University of Mainz 1995.Google Scholar
[9] Kob, W. and Andersen, H. C., Phys. Rev. E 52, 4134 (1995).Google Scholar
[10] Gleim, T., Kob, W. and Binder, K., (unpublished).Google Scholar
[11] Bernu, B., Hansen, J.-P., Hiwatari, Y. and Pastore, G., Phys. Rev. A 36, 4891 (1987).Google Scholar
[12] Hansen, J.-P. and McDonald, I. R., Theory of Simple Liquids (Academic, London, 1986).Google Scholar
[13] Pusey, P. N. and van Megen, W., Phys. Rev. Lett. 59, 2083 (1987);Google Scholar
van Megen, W., Underwood, S. M. and Pusey, P. N., Phys. Rev. Lett. 67, 1586 (1991);Google Scholar
van Megen, W. and Underwood, S. M., Phys. Rev. E 47, 248 (1993);Google Scholar
van Megen, W. and Underwood, S. M., Phys. Rev. Lett. 70, 2766 (1993);Google Scholar
van Megen, W. and Underwood, S. M., Phys. Rev. E 49, 4206 (1994).Google Scholar
[14] Götze, W. and Sjögren, L., Phys. Rev. A 43, 5442 (1991).Google Scholar