Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence condition for the canonical and microcanonical ensembles in
  coupled spin systems   It is typically assumed, without justification, that a weak coupling between
a system and a bath is a necessary condition for the equivalence of a canonical
ensemble and a microcanonical ensemble. For instance, in a canonical ensemble,
temperature emerges if the system and the bath are uncoupled or weakly coupled.
We investigate the validity region of this weak coupling approximation, using a
coupled composite-spin system. Our results show that the spin coupling strength
can be as large as the level spacing of the system, indicating that the weak
coupling approximation has a much wider region of validity than usually
expected.

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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: math
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga