Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Packing loops into annular cavities   The continuous packing of a flexible rod in two-dimensional cavities yields a
countable set of interacting domains that resembles non-equilibrium cellular
systems and belongs to a new class of light-weight material. However, the link
between the length of the rod and the number of domains requires investigation
especially in the case of non-simply connected cavities, where the number of
avoided regions emulates an effective topological temperature. In the present
article we report the results of an experiment of injection of a single
flexible rod into annular cavities in order to find the total length needed to
insert a given number of loops (domains of one vertex). Using an exponential
model to describe the experimental data we quite minutely analyze the initial
conditions, the intermediary behavior, and the tight-packing limit. This method
allows the observation of a new fluctuation phenomenon associated with
instabilities in the dynamic evolution of the packing process. Furthermore, the
fractal dimension of the global pattern enters the discussion under a novel
point of view. A comparison with the classical problems of the random close
packing of disks, and jammed disk packings is made.

5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
23
The categories of this paper are: solv-int