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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:39 |
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Conference: Bucharest University Faculty of Physics 2006 Meeting
Section: Nuclear and Elementary Particles Physics
Title:
Chaos and nuclear stability in a classical nuclear billiard
Authors:
C. C. Bordeianu(1), C. Besliu(1), Al. Jipa(1), D. Felea(2)
Affiliation:
(1)University of Bucharest, Faculty of Physics
Bucharest-Măgurele, PO Box MG 11, 76900, ROMANIA
(2)Institute of Space Sciences, Laboratory of Space Research, Bucharest-Măgurele, PO Box MG 23, 77125, ROMANIA
E-mail
cbord@suceava.astral.ro
Keywords:
chaos intermittency LLE
Abstract:
We consider several non interacting nucleons moving in a 2D Woods-Saxon type potential well and hitting the vibrating surface. The Hamiltonian has a coupling term between the particle motion and the collective coordinate which generates a self consistent dynamics. The numerical simulation is based on the solutions of the Hamilton equations which was solved using an algorithm of Runge-Kutta type (order 4-5) having an optimized step size, taking into account that the absolute error for each variable is less than 10^-6. Total energy is conserved with high accuracy, i.e. approx. 10^-6 in absolute value. We analyze the chaotic behavior of the nonlinear dynamics system using Lyapunov exponents and the asymptotic distance between trajectories.
Our study seems to confirm that the trends of the large Lyapunov exponent (LLE) and of the asymptotic distance between trajectories are very similar for the nucleonic model we have described above.
The chaos analyses we performed seems to confirm an intermittency type route to chaos. This transition consists of regular (approximately periodic) motion interrupted by burst of chaos at irregular intervals.
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