Special Issue "Shapes and Fluxes in Thermodynamics"

A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: closed (31 March 2019).

Special Issue Editors

Dr. Umberto Lucia
Guest Editor
Dipartimento Energia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Interests: Irreversible thermodynamics; Quantum thermodynamics; Thermodynamics of biosystems; Exergoeconomy
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Dr. Giulia Grisolia

Guest Editor
Department of Energy “Galileo Ferraris”, Polytechnic University of Turin, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Interests: thermodynamics, solar energy, thermal conductivity
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

In 1889, Gouy proved that the exergy lost in a process is proportional to the entropy generation. Later, from Prigogine to Ziegler, this result has been developed and a new approach to thermodynamic systems has been introduced: the entropy generation extrema principles.

Moreover, Bejan first proved the entropy generation minimization as an optimization principle for design in engineering, and then he extended this principle to natural systems, proving that it is the fundamental of the first engineer—Nature.

As a consequence of irreversibilty, exergy is required in order to maintain the internal processes of real systems, and it is also useful in understanding the quantum behavior of irreversible processes. Consequently, exergy flows (i.e., flows of free energy entail any process where the system evolves from one state to another).

However, these considerations hold to the constructal law, Bejan’s recent approach which teaches us how to use it for designing systems. The natural behavior of open systems is ascribed to fluxes of free energy in the least amount of time.

In recent years, the study of an increasing number of natural phenomena that appear to deviate from standard statistical distributions has kindled interest in alternative formulation of statistical mechanics: any new formulation of statistical mechanics should preserve most of the mathematical and epistemological structures of the Boltzmann–Gibbs theory and also reproduce the phenomenology of chaotic systems. It is also interesting to improve the statistical approach towards a link between the constructal law and a general probability theory related to the thermodynamic paths, considering energy, mass, and ions transfer, but also information.

This is the aim of this Special Issue: to consider the open systems in different ways and for different applications or phenomenal analyses, starting from fluxes and also considering statistical thermodynamics.

Dr. Umberto Lucia
Dr. Giulia Grisolia
Guest Editors

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.


  • Open systems;
  • Constructal law;
  • Fluxes;
  • Biosystems;
  • Information;
  • Statistical thermodynamics;
  • Thermal physics and engineering;
  • Chemical thermodynamic engineering.

Published Papers

There is no accepted submissions to this special issue at this moment.
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