Special Issue "Distance in Information and Statistical Physics 2021"

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Statistical Physics".

Deadline for manuscript submissions: 31 October 2021.

Special Issue Editor

Dr. Takuya Yamano
E-Mail Website
Guest Editor
Department of Mathematics and Physics, Faculty of Science, Kanagawa University, 2946,6-233 Tsuchiya, Hiratsuka, Kanagawa 259-1293, Japan
Interests: fisher information; nonextensivity; information theory; nonlinear Fokker-Planck equations; nonlinear Schrödinger equations; complexity measure; irreversibility; tumor growth; temperature-dependent energy levels in statistical physics
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Special Issue Information

Dear Colleagues,

The distance measures are fundamental tools in science, especially in information sciences and statistical physics. We need to quantify the extent of the approach of nonequilibrium states to an equilibrium one by using a divergence measure between the two states. Thus, the relative entropy helps our understanding of the asymptotic process of systems and serves to identify the difference. In information theory, much effort has been done to clarify information structures between various distance measures (entropies and divergences). To reflect growing interests and ongoing recent insights in these areas, we invite researchers to contribute to this renewed edition (Please see the previous edition at https://www.mdpi.com/si/entropy/distance-info-stat-physics). We use the term “distance”; however, you may regard it in a broad sense; geometry, divergence, discrimination, degree of irreversibility, the arrow of time, and all the rest. This Special Issue should provide a forum to present and discuss recent progress on topics listed in the keywords below and related areas.

Dr. Takuya Yamano
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Relative entropies
  • Kullback–Leibler divergence
  • Jensen–Shannon divergence
  • Nonequilibrium processes
  • States discrimination in quantum thermodynamics
  • Nonequilibrium statistical mechanics
  • Fluctuation theorems
  • Second law of thermodynamics
  • Information geometry
  • Fisher information

Published Papers (1 paper)

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Research

Open AccessFeature PaperArticle
Fisher Information of Free-Electron Landau States
Entropy 2021, 23(3), 268; https://doi.org/10.3390/e23030268 - 25 Feb 2021
Viewed by 300
Abstract
An electron in a constant magnetic field has energy levels, known as the Landau levels. One can obtain the corresponding radial wavefunction of free-electron Landau states in cylindrical polar coordinates. However, this system has not been explored so far in terms of an [...] Read more.
An electron in a constant magnetic field has energy levels, known as the Landau levels. One can obtain the corresponding radial wavefunction of free-electron Landau states in cylindrical polar coordinates. However, this system has not been explored so far in terms of an information-theoretical viewpoint. Here, we focus on Fisher information associated with these Landau states specified by the two quantum numbers. Fisher information provides a useful measure of the electronic structure in quantum systems, such as hydrogen-like atoms and under some potentials. By numerically evaluating the generalized Laguerre polynomials in the radial densities, we report that Fisher information increases linearly with the principal quantum number that specifies energy levels, but decreases monotonically with the azimuthal quantum number m. We also present relative Fisher information of the Landau states against the reference density with m=0, which is proportional to the principal quantum number. We compare it with the case when the lowest Landau level state is set as the reference. Full article
(This article belongs to the Special Issue Distance in Information and Statistical Physics 2021)
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