Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microphysical derivation of the Canham--Helfrich free-energy density   The Canham--Helfrich free-energy density for a lipid bilayer has drawn
considerable attention. Aside from the mean and Gaussian curvatures, this
free-energy density involves a spontaneous mean-curvature that encompasses
information regarding the preferred, natural shape of the lipid bilayer. We use
a straightforward microphysical argument to derive the Canham--Helfrich
free-energy density. Our derivation (i) provides a justification for the common
assertion that spontaneous curvature originates primarily from asymmetry
between the leaflets comprising a bilayer and (ii) furnishes expressions for
the splay and saddle-splay moduli in terms of derivatives of the underlying
potential.

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The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci