Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ghost Force Influence of a Quasicontinuum Method in Two Dimension   We derive an analytical expression for the solution of a two-dimensional
quasicontinuum method with a planar interface. The expression is used to prove
that the ghost force may lead to a finite size error for the gradient of the
solution. We estimate the width of the interfacial layer induced by the ghost
force is of $\co(\sqrt{\eps}\,)$ with $\eps$ the equilibrium bond length, which
is much wider than that of the one-dimensional problem.

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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph