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Chaos analysis of a semi-classical nuclear billiard model

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Cristian C Bordeianu, Daniel Felea, Cãlin Beşliu, Alexandru Jipa, Ioan V. Grossu

Editorial: Computer Physics Communications, DOI 10.1016/j.cpc.2008.01.012, 2008.


We consider several interacting nucleons moving in 2D and 3DWoods-Saxon type potential wells 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 and take into
account both, the spin and isospin degrees of freedom of the nucleons. 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 Kolmogorov-Sinai entropy.

Cuvinte cheie: Lyapunov exponent,Kolmogorov -Sinai entropy, Multifragmentation