Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three unequal masses on a ring and soft triangular billiards   The dynamics of three soft interacting particles on a ring is shown to
correspond to the motion of one particle inside a soft triangular billiard. The
dynamics inside the soft billiard depends only on the {\it masses ratio}
between particles and {\it softness ratio} of the particles interaction. The
transition from soft to hard interaction can be appropriately explored using
potentials for which the corresponding equations of motion are well defined in
the hard wall limit. Numerical examples are shown for the soft Toda-like
interaction and the error function.

16
The categories of this paper are: stat
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg