Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite dimensional thermo-mechanical systems and second order
  constraints   In this paper we study a class of physical systems that combine a finite
number of mechanical and thermodynamic observables. We call them finite
dimensional thermo-mechanical systems. We introduce these systems by means of
simple examples. The evolution equations of the involved observables are
obtained in each example by using, essentially, the Newton's law and the First
Law of Thermodynamics only. We show that such equations are similar to those
defining certain mechanical systems with higher order constraints. Moreover, we
show that all of the given examples can be described in a variational formalism
in terms of second order constrained systems.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th