Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic integrators for classical spin systems   We suggest a numerical integration procedure for solving the equations of
motion of certain classical spin systems which preserves the underlying
symplectic structure of the phase space. Such symplectic integrators have been
successfully utilized for other Hamiltonian systems, e. g. for molecular
dynamics or non-linear wave equations. Our procedure rests on a decomposition
of the spin Hamiltonian into a sum of two completely integrable Hamiltonians
and on the corresponding Lie-Trotter decomposition of the time evolution
operator. In order to make this method widely applicable we provide a large
class of integrable spin systems whose time evolution consists of a sequence of
rotations about fixed axes. We test the proposed symplectic integrator for
small spin systems, including the model of a recently synthesized magnetic
molecule, and compare the results for variants of different order.

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th