A NONLINEAR QUARK–GLUON CASCADE CONVERGES AND TRANSITS TO A CHAOTIC REGIME
Temiraliev A. Serikkanov A. Lebedev I. Mazhit Z. Burtebayev N. Fedosimova A. Dmitrieva E. Abishev M. Nurbakova G. Danlybaeva A.
2023Jagiellonian University
Acta Physica Polonica B, Proceedings Supplement
2023#16Issue 2
Computer simulations of the transition of quarks to hadrons, hadrons to quark–gluon plasma, and plasma to hadrons have been carried out. Nonlinear quark–gluon dynamics is considered a quantum process within the framework of discrete mappings. The dynamic variable is the momentum fraction (x) of the QCD parton, which acts as a one-dimensional Poincaré section in the momentum phase space. The probability of finding a certain fraction of the momentum of a parton at a given moment is determined by the momentum distribution of the partons at the previous moment in time. At critical values of the control parameter, bifurcations of phase quark–gluon trajectories occur. As a result of the counteraction of the processes of emission and absorption of gluons, stable attractor quark–gluon structures are formed. The Poisson stability is determined by the Lyapunov exponents. The sequence of bifurcations converges and chaos arises. The change from regular quark–gluon dynamics to irregular chaotic one corresponds to the limit of multiple hadronic processes and the emergence of quark–gluon matter in the deconfinement state. Chaotization of the dynamical system leads to thermalization of the quark–gluon medium.
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Institute of Physics and Technology, Satbaev University, Almaty, Kazakhstan
Institute of Nuclear Physics, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Physics and Technology
Institute of Nuclear Physics
Al-Farabi Kazakh National University
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