Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic thermostatistics of the two parameter entropy and the role of
  Lambert's W-function in its applications   A unified framework to describe the adiabatic class of ensembles in the
generalized statistical mechanics based on Schwammle-Tsallis two parameter (q,
q') entropy is proposed. The generalized form of the equipartition theorem,
virial theorem and the adiabatic theorem are derived. Each member of the class
of ensembles is illustrated using the classical nonrelativistic ideal gas and
we observe that the heat functions could be written in terms of the Lambert's
W-function in the large N limit. In the microcanonical ensemble we study the
effect of gravitational field on classical nonrelativistic ideal gas and a
system of hard rods in one dimension and compute their respective internal
energy and specific heat. We found that the specific heat can take both
positive and negative values depending on the range of the deformation
parameters, unlike the case of one parameter Tsallis entropy.

22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ