Do Binary Hard Disks Exhibit an Ideal Glass Transition?

Details Do Binary Hard Disks Exhibit an Ideal Glass Transition? Do Binary Hard Disks Exhibit an Ideal Glass Transition?

2006-03-07

arxiv.org/abs/cond-mat/0603183v1

Physics

Condensed Matter

Statistical Mechanics

Submitted for publication

Scientific paper

10.1103/PhysRevLett.96.225502

We demonstrate that there is no ideal glass transition in a binary hard-disk mixture by explicitly constructing an exponential number of jammed packings with densities spanning the spectrum from the accepted ``amorphous'' glassy state to the phase-separated crystal. Thus the configurational entropy cannot be zero for an ideal amorphous glass, presumed distinct from the crystal in numerous theoretical and numerical estimates in the literature. This objection parallels our previous critique of the idea that there is a most-dense random (close) packing for hard spheres [Torquato et al, Phys. Rev. Lett., 84, 2064 (2000)].

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