Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlated rigidity percolation and colloidal gels   Rigidity percolation (RP) occurs when mechanical stability emerges in
disordered networks as constraints or components are added. Here we discuss RP
with structural correlations, an effect ignored in classical theories albeit
relevant to many liquid-to-amorphous-solid transitions, such as colloidal
gelation, which are due to attractive interactions and aggregation. Using a
lattice model, we show that structural correlations shift RP to lower volume
fractions. Through molecular dynamics simulations, we show that increasing
attraction in colloidal gelation increases structural correlation and thus
lowers the RP transition, agreeing with experiments. Hence colloidal gelation
can be understood as a RP transition, but occurs at volume fractions far below
values predicted by the classical RP, due to attractive interactions which
induce structural correlation.

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The categories of this paper are: physics
20
The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
23
The categories of this paper are: solv-int