| |
 |
UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 2:37 |
 |
|
|
|
Conference: Bucharest University Faculty of Physics 2006 Meeting
Section: Nuclear and Elementary Particles Physics
Title:
Numerical simulation of quark systems using a semi-classical billiard model
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 QGP quark
Abstract:
We consider several interacting quarks moving in a 2D potential well and hitting the vibrating surface. We use a Woods-Saxon potential for the vibrating surface and a Cornell potential, consistent with the indications of lattice QCD calculations, for the interaction between quarks. 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 phase-space maps, autocorrelation functions, power spectra, Lyapunov exponents and the asymptotic distance between trajectories. The dependence of largest Lyapunov exponent (LLE) versus temperature 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. This type of route to chaos seems to be confirmed by the other chaos analyses we performed. Moreover we believe that the dependence of the Lyapunov exponents and of asymptotic distance between trajectories versus temperature can give us qualitative and quantitative information about a phase transition from the hadronic matter to quark-gluon plasma.
|
|
|
|