Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cage properties and its implication to the existence of glass transition
  in hard sphere systems   In deep supercooled liquids, particles get trapped in transient cages made up
of neighbouring particles. Here we define a cage from a geometrical quantity,
free volume, such that the free volume of a particle is the cage volume. First
we show that the relationship between the average cage volume and the
structural relaxation time questions the existence of glass transition in hard
sphere systems. Our observation suggests that the cage volume is zero at the
transition. Further we show that cage rearrangements are strongly coupled to
the single particle squared displacements. Additionally a cage can rearrange by
losing its neighbours with almost no change in particle displacements. The
picture presented here also supports the complex scenarios of relaxation,
dynamic heterogeneity and cooperative rearrangement.

24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th