Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nematics with quenched disorder : violation of self-averaging   We consider the isotropic-to-nematic transition in liquid crystals confined
to aerogel hosts, and assume that the aerogel acts as a random field. We
generally find that self-averaging is violated. For a bulk transition that is
weakly first-order, the violation of self-averaging is so severe, even the
correlation length becomes non-self-averaging: no phase transition remains in
this case. For a bulk transition that is more strongly first-order, the
violation of self-averaging is milder, and a phase transition is observed.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics