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Special Issue "Scale Invariance and Nonequilibrium Thermodynamics in Natural Systems"

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

Deadline for manuscript submissions: closed (31 January 2019)

Special Issue Editor

Guest Editor
Prof. Dr. Adrian Tuck

Visiting Professor, Physics Department, Imperial College London, London, UK
Website | E-Mail
Interests: physical chemistry; meteorology; turbulence; microdroplets; origin of life

Special Issue Information

Dear Colleagues,

There has been an equivalent formalism of equilibrium thermodynamics in terms of fractal quantities for two or three decades. However, the derivation of a physical mapping in terms of Hamiltonian flux dynamics for open non-equilibrium systems is a more recent development. This Special Issue of Entropy is intended to offer a publication forum examining these ideas; experimental, observational and theoretical. It has been argued that since scale invariance has been observed on all scales from molecular to astronomical, the technique is potentially applicable to a very wide range of phenomena; the utility of entropy and chemical potential—the Gibbs energy of individual substances—should offer many avenues of exploration.

The recent research history of this topic may be found in a pair of references: Lovejoy and Schertzer (2013) and Tuck (2017). Potentially cutting edge applications of the approach include the use of Gibbs energy to characterise complex, macroscopic chemical reaction systems in milieux as varied as biological cells and planetary atmospheres. A subset of these systems is the scale invariance observed in biopolymers such as proteins and nucleic acids, and in the lipids constructing the walls of single-celled organisms.


Lovejoy, S.; Schertzer, D. The Weather and Climate: Emergent Laws and Multifractal Cascades, Box 5.1; Cambridge University Press: Cambridge, UK, 2013; pp. 127-128.

Tuck, A. F. Proposed Empirical Entropy and Gibbs Energy Based on Observations of Scale Invariance in Open Non-Equilibrium Systems. J. Phys. Chem. A, 2017, 121, 6620-6629.

Prof. Dr. Adrian Tuck
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.


  • Statistical multifractals
  • Gibbs energy
  • Chemical reaction
  • Biopolymers
  • Atmospheres
  • Astronomical molecular clouds

Published Papers

There is no accepted submissions to this special issue at this moment.
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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