## Journal Menu

► Journal Menu# Special Issue "Statistical Mechanics and Mathematical Physics"

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

Deadline for manuscript submissions: **31 December 2019**.

## Special Issue Editor

Guest Editor
Dr. Eun-jin Kim
School of Mathematics and Statistics, University of Sheffield, Sheffield S3 7RH, UK
Website | E-Mail Interests: fluid dynamics; magnetohydrodynamics (MHD); plasma physics; self-organisation; non-equilibrium statistical mechanics; turbulence; solar/stellar physics; magnetic fusion; information theory; homeostasis in biosystems; solar/stellar physics |

## Special Issue Information

Dear Colleagues,

In classical statistical mechanics, Gaussian (or normal) distribution and mean-field type theories based on such distributions have been widely used to describe equilibrium or near-equilibrium phenomena. The ubiquity of the Gaussian distribution stems from the central limit theorem that random variables governed by different distributions tend to follow Gaussian distribution in the limit of a large sample size. In such a limit, fluctuations are small and have a short correlation time, and mean values and variance completely describe all different moments, greatly facilitating analysis.

Many systems in nature and laboratories are, however, far from equilibrium, exhibiting significant fluctuations. Examples are found not only in astrophysical and laboratory plasmas, but also in forest fires, the stock market, and biological ecosystems. Such rare events of large amplitude (intermittency) can dominate the entire transport even if they occur infrequently. Gene expression and protein productions, which used to be thought of as smooth processes, have also been observed occurring in bursts. Far-from-equilibrium fluctuations produce dissipative patterns, shift or wipe-out phase transitions. The importance and consequences of strong fluctuations in far-from-equilibrium systems has attracted great attention in mathematical physics. This Special Issue aims to present different theories of statistical mechanics and mathematical physics. Submissions addressing non-equilibrium statistical physics and strong fluctuations are especially welcome.

Dr. Eun-jin Kim*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 1600 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

- Statistical mechanics
- Mathematical physics
- Non-equilibrium
- Fluctuations
- Intermittency
- Phase transition
- Pattern formation
- Large deviation
- Self-assembly
- Hysteresis
- Generalized statistical mechanics
- q-Entropy
- Fractional calculus