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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:26 |
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Conference: Bucharest University Faculty of Physics 2010 Meeting
Section: Nuclear and Elementary Particles Physics
Title:
A new version of “Chaos Many-Body Engine”
Authors:
I.V. Grossu(1), C. Besliu(1), Al. Jipa(1), C.C. Bordeianu(1), D. Felea(2), E. Stan(2), T. Esanu(1)
Affiliation:
1 University of Bucharest, Faculty of Physics, Bucharest-Magurele, Romania
2 Institute of Space Sciences, Bucharest-Magurele, Romania
E-mail
ioan.grossu@brahms.fizica.unibuc.ro
Keywords:
deterministic chaos, nonlinear dynamics, many-body, nuclear fragmentation, C++, C#, graph, fragmentation level, clusterization map, relativistic nuclear collision, lyapunov, Shannon entropy, Runge-Kutta algorithm, virial theorem
Abstract:
In this work we present a new version of “Chaos Many-Body Engine” C# application for chaos analysis of three-dimensional relativistic many-body systems. For a better precision, we implemented an optimized version of the second order Runge-Kutta algorithm. We discuss also some new functionalities: the energy conservation precision test, the relativistic virial coefficient, the “fragmentation level” (defined based on Shannon entropy and Graph theory), the average system radius, and the “clusterization maps” (defined as the set of all pairs (Xi,Yi), for which: P`xi(Xi,Yi)=0 or P`yi(Xi,Yi)=0 or P`zi(Xi,Yi)=0; for every constituent i in {1,2,...,n}).
As an example, we used the engine for simulating a simplified nuclear system composed by 21 nucleons, initially placed in the vertices of a regular centered dodecahedron, with initial radial velocities. The quasi-linear dependence of the fragmentation level with the initial velocity suggests the possibility of estimating the fireball temperature on the fragmentation level basis (which is an experimentally accessible information).
A first version of a reactions module is also discussed. We treat: a + b -> c + d reactions, and decays.
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