Abstract
Solitary waves propagation of baryonic density perturbations, ruled by the Korteweg–de Vries equation in a mean-field quark–gluon plasma model, are investigated from the point of view of the theory of information. A recently proposed continuous logarithmic measure of information, called configurational entropy, is used to derive the soliton width, defining the pulse, for which the informational content of the soliton spatial profile is more compressed, in the Shannon's sense.
Highlights
Since the early decades of the past century, the information theory has been used in many areas of research
The configurational entropy (CE) entropic-information setup shall be used to study Korteweg– de Vries (KdV) solitons propagating in the cold quark-gluon plasma, in a sense that concerns its spatial profile configuration in the Fourier space
The informational content of a KdV solitonic pulse emerged from a perturbation in the baryonic density of a model for a cold quark-gluon plasma, beyond the linear regime are considered
Summary
Since the early decades of the past century, the information theory has been used in many areas of research. The KdV equation has been frequently used to study waves in shallow-water and internal waves in oceans, to investigate acoustic waves propagating across crystal lattices and, more recently, to scrutinize waves in plasmas In this context, it is useful to study the quark-gluon plasma (QGP), which is a state of matter that is produced either at extremely high temperatures, as in the early stage of the universe, or at very high density, as in the core of neutron stars. [28] regarded perturbations on the baryons density in proton-nucleus collisions, where the incoming proton that might be absorbed by the nuclear fluid can generate a KdV soliton The CE entropic-information setup shall be used to study KdV solitons propagating in the cold quark-gluon plasma (cQGP), in a sense that concerns its spatial profile configuration in the Fourier space. IV is devoted to point out the conclusions, discussions and outlook toward useful generalizations
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