Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ising Model with Hybrid Monte Carlo   The Ising model is a simple statistical model for ferromagnetism. There are
analytic solutions for low dimensions and very efficient Monte Carlo methods,
such as cluster algorithms, for simulating this model in special cases. However
most approaches do not generalise to arbitrary lattices and couplings. We
present a formalism that allows one to apply Hybrid Monte Carlo (HMC)
simulations to the Ising model, demonstrating how a system with discrete
degrees of freedom can be simulated with continuous variables. Because of the
flexibility of HMC, our formalism is easily generalizable to arbitrary
modifications of the model, creating a route to leverage advanced algorithms
such as shift preconditioners and multi-level methods, developed in conjunction
with HMC.

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The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc