Special Issue "Theoretical Aspect of Nonlinear Statistical Physics"
Deadline for manuscript submissions: 30 April 2018
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
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.
- nonlinear systems
- non-equilibrium systems
- generalized statistical mechanics
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).