Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to
  Absolute Zero   Rapid cooling of liquids below a certain temperature range can result in a
transition to glassy states. The traditional understanding of glasses includes
their thermodynamic metastability with respect to crystals. However, here we
present specific examples of interactions that eliminate the possibilities of
crystalline and quasicrystalline phases, while creating mechanically stable
amorphous glasses down to absolute zero temperature. We show that this can be
accomplished by introducing a new ideal state of matter called a "perfect
glass." A perfect glass represents a soft-interaction analog of the maximally
random jammed (MRJ) packings of hard particles. These latter states can be
regarded as the epitome of a glass since they are out of equilibrium, maximally
disordered, hyperuniform, mechanically rigid with infinite bulk and shear
moduli, and can never crystallize due to configuration-space trapping. Our
model perfect glass utilizes two-, three-, and four-body soft interactions
while simultaneously retaining the salient attributes of the MRJ state. These
models constitute a theoretical proof of concept for perfect glasses and
broaden our fundamental understanding of glass physics. A novel feature of
equilibrium systems of identical particles interacting with the perfect-glass
potential at positive temperature is that they have a non-relativistic speed of
sound that is infinite.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int