The evolution of information entropy components in relativistic heavy-ion collisions

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作者
Fei Li
Gang Chen
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[1] China University of Geosciences (Wuhan),School of mathematics and physics
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The time evolution process of thermodynamic entropy Sthermal\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{\mathrm{thermal}}$$\end{document}, multiplicity entropy Smul\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{\mathrm{mul}}$$\end{document}, and configuration entropy Sconf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{\mathrm{conf}}$$\end{document} at the relativistic heavy-ion collisions is studied using the AMPT model to generate central Au + Au collision events. By superimposing the three kinds of information entropy, we can get a complete information entropy of the system to describe the physical process of the relativistic heavy-ion collisions. The results show that the four stages of the time evolution process of the system entropy S seem to correspond to the four physical processes in the relativistic heavy-ion collision, indicating that the total entropy of the system can reflect the physical information more accurately in the relativistic heavy-ion collision. This also shows that Shannon information entropy does provides an effective tool to study the evolution process in the relativistic heavy-ion collisions.
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