A Scaling Phenomenon in Shannon Information Uncertainty Difference of fragments in Heavy-ion Collisions

Abstract

The Shannon information-entropy uncertainty (in brief as "information uncertainty") is used to analyze the fragments in the measured 140$A$ MeV ${}^{40,48}$Ca + ${}^9$Be and ${}^{58,64}$Ni + ${}^9$Be reactions. A scaling phenomenon is found in the information-uncertainty difference of fragments between the reactions. The scaling phenomenon is explained in a manner of canonical ensemble theory, and is reproduced in the simulated reactions by the antisymmetric molecular dynamics (AMD) and AMD + GEMINI models. The probes based on information uncertainty, requiring no equilibrium state of reaction, can be used in the non-equilibrium system, and bridge the results of the static thermodynamics models and the evolving dynamical transport models.

11 pages, 7 figures

References in corpus (9)

• Isobaric Yield Ratios and The Symmetry Energy In Fermi Energy Heavy Ion Reactions
• Fragmentation cross-sections and binding energies of neutron-rich nuclei
• Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies
• Temperature determined by isobaric yield ratio in heavy-ion collisions
• Neutron Density Distributions of Neutron-Rich Nuclei Studied with the Isobaric Yield Ratio Difference
• Isobaric yield ratio difference between the 140 $A$ MeV ${}^{58,64}$Ni + ${}^9$Be reactions studied by antisymmetric molecular dynamics model
• Isotopic ratio, isotonic ratio, isobaric ratio and Shannon information uncertainty
• Improved Thermometer from Intermediate Mass Fragments in Heavy-Ion Collisions with Isobaric Yield Ratio Difference
• Residue Coulomb interaction among isobars and its influence in symmetry energy of neutron-rich fragment

Cited by in corpus (5)

• Shannon Information Entropy in Heavy-ion Collisions
• Configurational entropy and $\rho$ and $\varphi$ mesons production in QCD
• Determination of neutron-skin thickness using configurational information entropy
• Shannon entropy and particle decays
• The evolution of Information entropy components in Relativistic Heavy-Ion Collisions