NDLI: Entropy and complexity properties of the d-dimensional blackbody radiation

Content Provider	Springer Nature Link
Author	Toranzo, Irene V. Dehesa, Jesús S.
Copyright Year	2014
Abstract	Space dimensionality is a crucial variable in the analysis of the structure and dynamics of natural systems and phenomena. The dimensionality effects of the blackbody radiation has been the subject of considerable research activity in recent years. These studies are still somewhat fragmentary, posing formidable qualitative and quantitative problems for various scientific and technological areas. In this work we carry out an information-theoretical analysis of the spectral energy density of a d-dimensional blackbody at temperature T by means of various entropy-like quantities (disequilibrium, Shannon entropy, Fisher information) as well as by three (dimensionless) complexity measures (Crámer-Rao, Fisher-Shannon and LMC). All these frequency-functional quantities are calculated and discussed in terms of temperature and dimensionality. It is shown that all three measures of complexity have an universal character in the sense that they depend neither on temperature nor on the Planck and Boltzmann constants, but only on the the space dimensionality d. Moreover, they decrease when d is increasing; in particular, the values 2.28415, 1.90979 and 1.17685 are found for the Crámer-Rao, Fisher-Shannon and LMC measures of complexity of the 3-dimensional blackbody radiation, respectively. In addition, beyond the frequency at which the spectral density is maximum (which follows the well-known Wien displacement law), three further characteristic frequencies are defined in terms of the previous entropy quantities; they are shown to obey Wien-like laws. The potential usefulness of these distinctive features of the blackbody spectrum is physically discussed.
Starting Page	1
Ending Page	8
Page Count	8
File Format	PDF
ISSN	14346060
Journal	The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics
Volume Number	68
Issue Number	10
e-ISSN	14346079
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-10-23
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nonlinear Dynamics Atomic, Molecular, Optical and Plasma Physics Physical Chemistry Quantum Physics Quantum Information Technology, Spintronics Spectroscopy/Spectrometry
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics

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