Glass transition of hard spheres in high dimensions.

@article{Schmid2010GlassTO,
  title={Glass transition of hard spheres in high dimensions.},
  author={Bernhard H Schmid and Rolf Schilling},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={81 4 Pt 1},
  pages={041502}
}
We have investigated analytically and numerically the liquid-glass transition of hard spheres for dimensions d-->infinity in the framework of mode-coupling theory. The numerical results for the critical collective and self-nonergodicity parameters fc(k;d) and fc(s)(k;d) exhibit non-Gaussian k dependence even up to d=800.fc(s)(k;d) and fc(k;d) differ for k approximately d1/2, but become identical on a scale k approximately d, which is proven analytically. The critical packing fraction phic(d… CONTINUE READING

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