Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability Against the Odds: the Case of Chromonic Liquid Crystals   The ground state of chromonic liquid crystals, as revealed by a number of
recent experiments, is quite different from that of ordinary nematic liquid
crystals: it is twisted instead of uniform. The common explanation provided for
this state within the classical elastic theory of Frank demands that one
Ericksen's inequality is violated. Since in general such a violation makes
Frank's elastic free-energy functional unbounded below, the question arises as
to whether the twisted ground state can be locally stable. We answer this
question in the affirmative. In reaching this conclusion, a central role is
played by the specific boundary conditions imposed in the experiments on the
boundary of rigid containers and by a general formula that we derive here for
the second variation of Frank's elastic free energy.

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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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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: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas