Statistical measure of complexity and correlated behavior of Fermi systems

Details Statistical measure of complexity and correlated behavior of Fermi systems Statistical measure of complexity and correlated behavior of Fermi systems

2009-07-14

arxiv.org/abs/0907.2342v2

Physics

Condensed Matter

Statistical Mechanics

21 pages, 11 figures

Scientific paper

We apply the statistical measure of complexity, introduced by L\'{o}pez-Ruiz, Mancini and Calbet (LMC), to uniform Fermi systems. We investigate the connection between information and complexity measures with the strongly correlated behavior of various Fermi systems as nuclear matter, electron gas and liquid helium. We examine the possibility that LMC complexity can serve as an index quantifying correlations in the specific system and to which extent could be related with experimental quantities. Moreover, we concentrate on thermal effects on the complexity of ideal Fermi systems. We find that complexity behaves, both at low and high values of temperature, in a similar way as the specific heat.

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