Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is the Clausius inequality a consequence of the second law?   We present an analysis of the foundations of the well known Clausius
inequality. It is shown that, in general, the inequality is not a logical
consequence of the Kelvin-Planck formulation of the second law of
thermodynamics. Some thought experiments demonstrating the violation of the
Clausius inequality are considered. The possibility of experimental detection
of the violation is pointed out.

34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga