Open AccessDependence of Information Entropy of Uniform Fermi Systems on Correlations and Thermal Effects
Author(s) -
Ch. C. Moustakidis,
S. E. Massen
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2968
Subject(s) - fermi gas , kinetic energy , entropy (arrow of time) , physics , fermi gamma ray space telescope , statistical physics , fermi liquid theory , thermal , thermodynamics , electron , condensed matter physics , quantum mechanics
The influence of correlations of uniform Fermi systems (nuclear matter, electron gas and liquid 3He) on Shannon's information entropy, S, is studied. It is found that, for three different Fermi systems with different particle interactions, the correlated part of S (Soor) depends on the correlation parameter of the systems or on the discontinuity gap of the momentum distribution through two parameter expressions. The values of the parameters characterize the strength of the correlations. A two parameter expression also holds between Scor and the mean kinetic energy (K) of the Fermi system. The study of thermal effects on the uncorrelated electron gas leads to a relation between the thermal part of S (Sthermai) and the fundamental quantities of temperature, thermodynamical entropy and the mean kinetic energy. It is found that, in the case of low temperature limit, the expression connecting Sthermai with Κ is the same to the one which connects Scor with K. Thus, regardless of the reason (correlations or thermal) that changes K, S takes almost the same value.