%0 Journal Article %1 Bengtzelius1984Dynamics %A Bengtzelius, U. %A Götze, W. %A Sjolander, A. %D 1984 %J Journal of Physics C: Solid State Physics %K glasses %N 33 %P 5915--5934 %R 10.1088/0022-3719/17/33/005 %T Dynamics of supercooled liquids and the glass transition %U http://dx.doi.org/10.1088/0022-3719/17/33/005 %V 17 %X Closed nonlinear equations are derived for a self-consistent treatment of density propagation, self-diffusion and current relaxation in a classical monatomic fluid. The solution for a hard-sphere model system brings out a phase transition to a glass at the packing fraction 0.516. Approaching the transition from the glass side the particle mean-square displacement increases to a finite value. A simplified model is analysed in detail. Approaching the transition from the liquid side the diffusivity is predicted to decrease to zero with a power law with exponent 1.76 which the authors find to agree well with some experimental data. The low-frequency density spectrum is found to consist of two contributions; one is an elastic line of the frozen structure on the glass side, which then decays to a narrow diffusion broadened quasielastic peak on the fluid side; the other part is described by a dynamical scaling law and it yields in particular a spectrum diverging at the glass point with certain exponents.

@article{Bengtzelius1984Dynamics, abstract = {{Closed nonlinear equations are derived for a self-consistent treatment of density propagation, self-diffusion and current relaxation in a classical monatomic fluid. The solution for a hard-sphere model system brings out a phase transition to a glass at the packing fraction 0.516. Approaching the transition from the glass side the particle mean-square displacement increases to a finite value. A simplified model is analysed in detail. Approaching the transition from the liquid side the diffusivity is predicted to decrease to zero with a power law with exponent 1.76 which the authors find to agree well with some experimental data. The low-frequency density spectrum is found to consist of two contributions; one is an elastic line of the frozen structure on the glass side, which then decays to a narrow diffusion broadened quasielastic peak on the fluid side; the other part is described by a dynamical scaling law and it yields in particular a spectrum diverging at the glass point with certain exponents.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Bengtzelius, U. and G\"{o}tze, W. and Sjolander, A.}, biburl = {https://www.bibsonomy.org/bibtex/26dffb4748dc05d091b788cfb1c026f00/nonancourt}, citeulike-article-id = {775823}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/0022-3719/17/33/005}, citeulike-linkout-1 = {http://stacks.iop.org/0022-3719/17/5915}, citeulike-linkout-2 = {http://iopscience.iop.org/0022-3719/17/33/005}, day = 30, doi = {10.1088/0022-3719/17/33/005}, interhash = {29406126447b92a2a5a5e76fb7befcbe}, intrahash = {6dffb4748dc05d091b788cfb1c026f00}, issn = {0022-3719}, journal = {Journal of Physics C: Solid State Physics}, keywords = {glasses}, month = nov, number = 33, pages = {5915--5934}, posted-at = {2012-01-26 18:18:29}, priority = {2}, timestamp = {2019-06-10T14:53:09.000+0200}, title = {{Dynamics of supercooled liquids and the glass transition}}, url = {http://dx.doi.org/10.1088/0022-3719/17/33/005}, volume = 17, year = 1984 }