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25 April 2024
 
  » arxiv » 1712.4230

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Implementation of quark confinement and retarded interactions for Chaos Many-Body Engine
I.V. Grossu ; C. Besliu ; Al. Jipa ; D. Felea ; E. Stan ; T. Esanu ;
Date 12 Dec 2017
AbstractIn [1] we presented a Chaos Many-Body Engine toy-model for chaos analysis of nuclear relativistic collisions at 4.5 A GeV/c (the SKM 200 collaboration), which was later developed and tested [2] on Cu-Cu collisions at the maximum BNL energy. Starting from the existing quark billiard models, the main goal of this work was to extend CMBE to relativistic quark many-body systems. Thus, we first implemented a confinement algorithm based on two intuitive assumptions: the bi-particle force is restricted to each elementary white quark cluster (interaction saturation), and the white clusters configuration of a quark system conforms to the minimum potential energy requirement. As interaction retardation is expected to play an important role in chaos analysis of relativistic many-body systems, we also implemented a Euler retarded algorithm, and we tested it on a simple two-body gravitational-like system. A first comparative study suggests that interaction retardation might contribute to the Virial theorem anomalies encountered for clusters of galaxies. Thus, for the previously described system, we noticed the Virial coefficient is sub unitary and tends to one with the growth of interaction velocity. On the other hand, the time reverse functionality implemented in CMBE v03 could be used together with retardation for studying the Loschmidt paradox. It is important to mention also that the new features complexity revealed the necessity of refactoring the existing code to SOLID. The possibility of providing unit tests is another benefit of the new application design. In this context, we wrote more than one hundred automatic tests which are an important indicator of application logic validity.
Source arXiv, 1712.4230
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