Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface properties at the Kosterlitz-Thouless transition   Monte Carlo simulations of the two-dimensional XY model are performed in a
square geometry with free and mixed fixed-free boundary conditions. Using a
Schwarz-Christoffel conformal mapping, we deduce the exponent eta of the order
parameter correlation function and its surface equivalent eta_parallel at the
Kosterlitz-Thouless transition temperature. The well known value eta(T_{KT}) =
1/4 is easily recovered even with systems of relatively small sizes, since the
shape effects are encoded in the conformal mapping. The exponent associated to
the surface correlations is similarly obtained eta_1(T_{KT}) ~= 0.54.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg