Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Quantum Dynamics to the Second Law of Thermodynamics   In quantum systems which satisfy the hypothesis of equal weights for
eigenstates [4], the maximum work principle (for extremely slow and relatively
fast operation) is derived by using quantum dynamics alone. This may be a
crucial step in establishing a firm connection between macroscopic
thermodynamics and microscopic quantum dynamics. For special models introduced
in [4,5], the derivation of the maximum work principle can be executed without
introducing any unproved assumptions.

28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math