Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mechanism of irreversibility in a many-body systems   The mechanism of irreversible dynamics in the mixing systems is constructed
in the frames of the classical mechanics laws. The offered mechanism can be
found only within the framework of the generalized Hamilton's formalism. The
generalized formalism is created by expansion of the canonical Hamilton's
formalism to the open systems. A formula, which expresses the entropy through
the work of subsystems interaction forces was obtained. The essential link
between thermodynamics and classical mechanics was established.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc