Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovering the equivalence of ensembles   The equivalence of thermodynamic results in the canonical and the
microcanonical ensembles has been questioned in some calculations for spin
models with long-range interactions. We show that these claims of inequivalence
are related to an inadequate definition of the independent (density) variables
in the microcanonical ensemble. We illustrate this point with the example of a
simple spin-1 ideal paramagnet, and then revisit the original calculations of
Barr\'e, Mukamel, and Ruffo, for a mean-field spin-1 Blume-Capel model. If the
microcanonical ensemble is defined in terms of adequate density variables, we
show that there is no disagreement with the calculations in the usual canonical
ensemble (with fixed thermodynamic field variables).

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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg