Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A hierarchy of self-consistent stochastic boundary conditions for Ising
  lattice simulations   We describe a hierarchy of stochastic boundary conditions (SBCs) that can be
used to systematically eliminate finite size effects in Monte Carlo simulations
of Ising lattices. For an Ising model on a $100 \times 100$ square lattice, we
measured the specific heat, the magnetic susceptibility, and the spin-spin
correlation using SBCs of the two lowest orders, to show that they compare
favourably against periodic boundary conditions (PBC) simulations and
analytical results. To demonstrate how versatile the SBCs are, we then
simulated an Ising lattice with a magnetized boundary, and another with an open
boundary, measuring the magnetization, magnetic susceptibility, and
longitudinal and transverse spin-spin correlations as a function of distance
from the boundary.

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The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph