  In Grossu et al. (2012) we presented a Chaos Many-Body Engine (CMBE)
toy-model for chaos analysis of relativistic nuclear collisions at 4.5 A GeV/c
(the SKM 200 collaboration) which was later extended to Cu + Cu collisions at
the maximum BNL energy. Inspired by existing quark billiards, the main goal of
this work was extending CMBE to partons. Thus, we first implemented a
confinement algorithm founded on some intuitive assumptions: 1) the system can
be decomposed into a set of two or three-body quark white clusters; 2) the
bi-particle force is limited to the domain of each cluster; 3) the physical
solution conforms to the minimum potential energy requirement. Color
conservation was also treated as part of the reactions logic module. As an
example of use, we proposed a toy-model for p + p collisions at sqrt(s)=10 GeV
and we compared it with HIJING. Another direction of interest was related to
retarded interactions. Following this purpose, we implemented an Euler retarded
algorithm and we tested it on a simple two-body system with attractive
inverse-square-law force. First results suggest that retarded interactions may
contribute to the Virial theorem anomalies (dark matter) encountered for
gravitational systems (e.g. clusters of galaxies). On the other hand, the time
reverse functionality implemented in CMBE v03 could be used together with
retardation for analyzing the Loschmidt paradox. Regarding the application
design, it is important to mention the code was refactored to SOLID. In this
context, we have also written more than one hundred unit and integration tests,
which represent an important indicator of application logic validity.
