Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Questioning the validity of non-extensive thermodynamics for classical
  Hamiltonian systems   We examine the non-extensive approach to the statistical mechanics of
Hamiltonian systems with $H=T+V$ where $T$ is the classical kinetic energy. Our
analysis starts from the basics of the formalism by applying the standard
variational method for maximizing the entropy subject to the average energy and
normalization constraints. The analytical results show (i) that the
non-extensive thermodynamics formalism should be called into question to
explain experimental results described by extended exponential distributions
exhibiting long tails, i.e. $q$-exponentials with $q>1$, and (ii) that in the
thermodynamic limit the theory is only consistent in the range $0\leq q\leq1$
where the distribution has finite support, thus implying that configurations
with e.g. energy above some limit have zero probability, which is at variance
with the physics of systems in contact with a heat reservoir. We also discuss
the ($q$-dependent) thermodynamic temperature and the generalized specific
heat.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas