Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT model

Information entropy can be used for investigating the critical fluctuation phenomenon by describing multiplicity fluctuations in heavy-ion collisions. In this study, a multiphase transport (AMPT) model in the default version (AMPT-DEF) and with the string melting (AMPT-SM) were used as event generat...

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Main Authors: Jie Pu, Yong-Bo Yu, Kai-Xuan Cheng, Yu-Ting Wang, Ya-Fei Guo, Chun-Wang Ma
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323002435
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author Jie Pu
Yong-Bo Yu
Kai-Xuan Cheng
Yu-Ting Wang
Ya-Fei Guo
Chun-Wang Ma
author_facet Jie Pu
Yong-Bo Yu
Kai-Xuan Cheng
Yu-Ting Wang
Ya-Fei Guo
Chun-Wang Ma
author_sort Jie Pu
collection DOAJ
description Information entropy can be used for investigating the critical fluctuation phenomenon by describing multiplicity fluctuations in heavy-ion collisions. In this study, a multiphase transport (AMPT) model in the default version (AMPT-DEF) and with the string melting (AMPT-SM) were used as event generators to simulate the Au+Au reaction at different incident energies. Owing to the influence of the distribution bin number in extracting its information entropy, two methods, i.e., data binning and weighting factors, were proposed to correct the information entropy analysis. The comparison between information entropy and kurtosis also reflects the necessity to correct the information entropy analysis. The corrected information entropy of net-proton multiplicity was analyzed in central Au+Au collisions at sNN= 4.7, 6.4, 7.7, 8.8, 11.5, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 140, 170, and 200 GeV with the impact parameter b=3 fm. The results indicated that the fluctuations of net-proton multiplicity were essentially identical at collision energies ranging from sNN= 4.7 GeV to sNN= 200 GeV in the same model. No critical fluctuation phenomenon was found in the central Au+Au collisions simulated using the AMPT models, similar to the case of the AMPT model, which does not have. Comparing the information entropy of AMPT-SM to AMPT-DEF, the effect of partonic phase leads to a bigger fluctuation, indicating that the corrected information entropy can be a useful probe to explore the phase transition. The mid-rapidity net-proton multiplicity information entropy was also calculated, and the results led to the same conclusion. The corrected information entropy may be useful for investigating critical fluctuations, which is important for exploring critical endpoint.
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spelling doaj.art-e443842bf2b8477f9879c4a8c926a2132023-05-23T04:20:43ZengElsevierPhysics Letters B0370-26932023-06-01841137909Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT modelJie Pu0Yong-Bo Yu1Kai-Xuan Cheng2Yu-Ting Wang3Ya-Fei Guo4Chun-Wang Ma5Corresponding authors.; College of Physics, Henan Normal University, Xinxiang 453007, ChinaCollege of Physics, Henan Normal University, Xinxiang 453007, ChinaCollege of Physics, Henan Normal University, Xinxiang 453007, ChinaCollege of Physics, Henan Normal University, Xinxiang 453007, ChinaCollege of Physics, Henan Normal University, Xinxiang 453007, ChinaCorresponding authors.; College of Physics, Henan Normal University, Xinxiang 453007, ChinaInformation entropy can be used for investigating the critical fluctuation phenomenon by describing multiplicity fluctuations in heavy-ion collisions. In this study, a multiphase transport (AMPT) model in the default version (AMPT-DEF) and with the string melting (AMPT-SM) were used as event generators to simulate the Au+Au reaction at different incident energies. Owing to the influence of the distribution bin number in extracting its information entropy, two methods, i.e., data binning and weighting factors, were proposed to correct the information entropy analysis. The comparison between information entropy and kurtosis also reflects the necessity to correct the information entropy analysis. The corrected information entropy of net-proton multiplicity was analyzed in central Au+Au collisions at sNN= 4.7, 6.4, 7.7, 8.8, 11.5, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 140, 170, and 200 GeV with the impact parameter b=3 fm. The results indicated that the fluctuations of net-proton multiplicity were essentially identical at collision energies ranging from sNN= 4.7 GeV to sNN= 200 GeV in the same model. No critical fluctuation phenomenon was found in the central Au+Au collisions simulated using the AMPT models, similar to the case of the AMPT model, which does not have. Comparing the information entropy of AMPT-SM to AMPT-DEF, the effect of partonic phase leads to a bigger fluctuation, indicating that the corrected information entropy can be a useful probe to explore the phase transition. The mid-rapidity net-proton multiplicity information entropy was also calculated, and the results led to the same conclusion. The corrected information entropy may be useful for investigating critical fluctuations, which is important for exploring critical endpoint.http://www.sciencedirect.com/science/article/pii/S0370269323002435
spellingShingle Jie Pu
Yong-Bo Yu
Kai-Xuan Cheng
Yu-Ting Wang
Ya-Fei Guo
Chun-Wang Ma
Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT model
Physics Letters B
title Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT model
title_full Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT model
title_fullStr Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT model
title_full_unstemmed Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT model
title_short Exploring critical fluctuation phenomenon according to net-proton multiplicity information entropy in AMPT model
title_sort exploring critical fluctuation phenomenon according to net proton multiplicity information entropy in ampt model
url http://www.sciencedirect.com/science/article/pii/S0370269323002435
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