E-Mail Alert

Add your e-mail address to receive forthcoming issues of this journal:

Journal Browser

Journal Browser

Special Issue "Theoretical Aspect of Nonlinear Statistical Physics"

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

Deadline for manuscript submissions: 30 April 2018

Special Issue Editor

Guest Editor
Prof. Dr. Giorgio Kaniadakis

Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Website | E-Mail
Interests: entropy; statistical physics; foundation of statistical mechanics; complex systems

Special Issue Information

Dear Colleagues,

Focus of this Special Issue is to collect original and/or review papers, dealing with nonlinear and/or non-equilibrium statistical systems, which play a central role in modern statistical physics.

The subjects of the volume may include, but are not limited to, the following areas: Foundations and mathematical formalism and theoretical aspects of classical and quantum statistical mechanics; non-linear methods and generalized statistical mechanics; information geometry and its connection to statistical mechanics; non-equilibrium statistical physics; mathematical methods of kinetic theory; Boltzmann and Fokker–Planck kinetics; dynamical systems; chaotic systems; and fractal systems.

Prof. Dr. Giorgio Kaniadakis
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 1500 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

  • nonlinear systems
  • non-equilibrium systems
  • generalized statistical mechanics

Published Papers (2 papers)

View options order results:
result details:
Displaying articles 1-2
Export citation of selected articles as:

Research

Open AccessArticle Chaotic Dynamics of the Fractional-Love Model with an External Environment
Entropy 2018, 20(1), 53; doi:10.3390/e20010053
Received: 27 November 2017 / Revised: 11 January 2018 / Accepted: 11 January 2018 / Published: 12 January 2018
PDF Full-text (6244 KB) | HTML Full-text | XML Full-text
Abstract
Based on the fractional order of nonlinear system for love model with a periodic function as an external environment, we analyze the characteristics of the chaotic dynamic. We analyze the relationship between the chaotic dynamic of the fractional order love model with an
[...] Read more.
Based on the fractional order of nonlinear system for love model with a periodic function as an external environment, we analyze the characteristics of the chaotic dynamic. We analyze the relationship between the chaotic dynamic of the fractional order love model with an external environment and the value of fractional order (α, β) when the parameters are fixed. Meanwhile, we also study the relationship between the chaotic dynamic of the fractional order love model with an external environment and the parameters (a, b, c, d) when the fractional order of the system is fixed. When the parameters of fractional order love model are fixed, the fractional order (α, β) of fractional order love model system exhibit segmented chaotic states with the different fractional orders of the system. When the fractional order (α = β) of the system is fixed, the system shows the periodic state and the chaotic state as the parameter is changing as a result. Full article
(This article belongs to the Special Issue Theoretical Aspect of Nonlinear Statistical Physics)
Figures

Figure 1

Open AccessCommunication Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence
Entropy 2018, 20(1), 26; doi:10.3390/e20010026
Received: 5 December 2017 / Revised: 26 December 2017 / Accepted: 3 January 2018 / Published: 4 January 2018
PDF Full-text (264 KB) | HTML Full-text | XML Full-text
Abstract
The information shared among observables representing processes of interest is traditionally evaluated in terms of macroscale measures characterizing aggregate properties of the underlying processes and their interactions. Traditional information measures are grounded on the assumption that the observable represents a memoryless process without
[...] Read more.
The information shared among observables representing processes of interest is traditionally evaluated in terms of macroscale measures characterizing aggregate properties of the underlying processes and their interactions. Traditional information measures are grounded on the assumption that the observable represents a memoryless process without any interaction among microstates. Generalized entropy measures have been formulated in non-extensive statistical mechanics aiming to take microphysical codependence into account in entropy quantification. By taking them into consideration when formulating information measures, the question is raised on whether and if so how much information permeates across scales to impact on the macroscale information measures. The present study investigates and quantifies the emergence of macroscale information from microscale codependence among microphysics. In order to isolate the information emergence coming solely from the nonlinearly interacting microphysics, redundancy and synergy are evaluated among macroscale variables that are statistically independent from each other but not necessarily so within their own microphysics. Synergistic and redundant information are found when microphysical interactions take place, even if the statistical distributions are factorable. These findings stress the added value of nonlinear statistical physics to information theory in coevolutionary systems. Full article
(This article belongs to the Special Issue Theoretical Aspect of Nonlinear Statistical Physics)

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Tentative title: A Mathematical Realization of Entropy through Neutron Slowing Down
Authors: B. Ganapol 1, D. Mostacci 2, V. Molinari 2
Affiliation: 1. University of Arizona; 2. University of Bologna
Abstract: A classic problem in neutron transport theory is time dependent slowing down in a homogeneous medium.  Neutrons (test particles) collide with nuclei (field particles) and lose energy via elastic scattering.  In addition, some neutrons are captured and thus representing dissipation.  One can analytically solve the neutron slowing down equation, a balance between neutron loss from elastic scattering and absorption and gain from scattering in phase space, in the simple case of uniform cross sections.  These solutions provide examples of how entropy tracks mathematics and vice versa through collisions with nuclei.  In particular, the solution exhibits oscillations in lethargy (logarithm of the energy), called Placzek transients.  The oscillations originate from the continuity of the derivatives of the solution.  With increasing number of collisions, the initial sharp discontinuity from the highly singular delta function source become submerged in subsequent higher order derivatives.  Hence, with collisions, the solution becomes mathematically smoother.  This is a perfect physical example of the mathematical representation of entropy since one begins with a source with no uncertainty (zero entropy) as represented by a delta function; and, with an ever increasing number of collisions, uncertainty is generated (non-zero entropy).

Back to Top