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Entropy: Thermodynamics – Energy – Environment – Economy

Entropie : thermodynamique – énergie – environnement – économie

Entropie - ISSN 2634-1476 - © ISTE Ltd

Aims and scope

Objectifs de la revue

In 1965, the first edition of the journal Entropie announced that thermodynamics was the basis for many industrial applications, but also for advanced techniques (aerospace, particle and universe physics, metrology). It is a science of energy and entropy, a branch that studies the properties of materials and fluids, conversion processes.


But since then, it has also become clear that thermodynamics and energy have a major role in the living world and its evolution. This aspect is therefore an integral part of the themes of this journal, as well as the relationship with the environment and the economy: are we not talking about thermo-economics, climate change with the temperature drift, a thermodynamic notion if ever there was one?


In summary, the "new edition" of Entropie confirms the previous major fundamental and applied themes, but also opens up to various everyday applications in our societies, and offers new sections on the living world, on the economy (thermo-economics) and the environment through a systemic approach.


Publication Ethics and Malpractice Statement

Le premier éditorial de la revue Entropie annonçait, en 1965, que la thermodynamique est à la base de nombreuses applications industrielles, mais aussi de techniques de pointe (aérospatial, physique des particules et de l’univers, métrologie). Elle est une science de l’énergie et de l’entropie, branche qui étudie les propriétés des matériaux et des fluides, les processus de conversion.


Mais depuis lors, il est aussi apparu que la thermodynamique et l’énergie avait un rôle majeur dans le monde du vivant et de son évolution. Cet aspect fait donc partie intégrante des thèmes de la revue, de même que la relation à l’environnement et l’économie : ne parle-t-on pas de thermo économie, de changement climatique avec la dérive en température, notion thermodynamique s’il en est.


En résumé, la « nouvelle édition » d’Entropie confirme les thèmes majeurs antérieurs fondamentaux et appliqués, mais y ajoute une ouverture sur des applications diffuses de tous les jours dans nos sociétés, et de nouvelles rubriques du côté du monde du vivant, puis de l’économie (thermo-économie) et de l’environnement par une approche systémique.


Publication Ethics and Malpractice Statement

Journal issues

Recent articles

Nicholas Georgescu-Roegen’s bioeconomics: a new alliance between the economy and the biosphere
Sylvie Ferrari

Bioeconomics is a new approach to the relationship between the economy and the environment developed by N. Georgescu-Roegen (1906-1994), a great economist of the 20th century who was also a mathematician, philosopher and historian of science. The economy, as a sub-system of the biosphere, is understood in a global ecological context. It is also inseparable from the historical dimension of the development of societies, given the limited access to a stock of resources (energy and matter) taken from the environment. The ultimate aim of this original approach is to reconcile economic development with ecological constraints and to lead the economy towards sufficiency.

Hydrogen wet combustion and “Water Vapor Pump-cycle”
Rémi Guillet, Jean-Pierre Hébert, Gérald Brunel

The so-called “water vapor pump” cycle is defined by the selective recycling of the water vapor carried by the combustion products at the outlet of the thermal machine by exchange of mass and heat between the exiting combustion products and the incoming atmospheric air. With hydrogen fuel, this form of wet combustion is capable of very high energy and ecological performance. In this context, we present here the Hydrometric Combustion Diagram (HCD) of hydrogen and apply this tool to anticipate the energy performance of this new fuel whose PCS exceeds its PCI by 18%. These expectations also concern the case of gas turbines in the case of wet combustion which, moreover, are, a priori, highly consuming additional water. The formation of atmospheric water plumes, the "cost" of its elimination, the possible residual pollution due to NOx are also presented, this concerning the use of hydrogen fuel in all thermal combustion machines, including in fuel cells. All applications combined and in a cogeneration context, wet combustion, of which the so-called “water vapor pump” cycle is part, increases the dew point temperature of the combustion products by approximately 10°C and promotes useful energy recovery. approaching 100% of the higher calorific value of the fuel (100% of the PCS). What is to be emphasized with hydrogen fuel.

Biomimicry, an avenue to explore for process engineering?
Eric Schaer, Frédéric Demoly, Jean-Claude André

The exponential growth in the use of digital technology is forcing changes in the engineering of material and energy transformation processes, not only in terms of training, but also in terms of inventions of various origins, to revitalize this discipline, which is subject to strong environmental constraints. This near-breakthrough situation needs to be translated into greater creativity before we can achieve breakthrough or incremental innovations. To achieve this objective, it is sometimes useful to bring together two normally disjoint fields to generate ideas that are robust enough to be applied. This article discusses this method, based on biomimicry. Can taking advantage of nature’s ingenuity foster the emergence of anthropocentric inventions and thus accelerate innovation in the field of process engineering? This is the question posed by the authors in their quest to illustrate the opportunities and advantages of such an approach, as well as its current limitations.

What training is needed for industrial research?
Eric Schaer, Frédéric Demoly, Jean-Claude André

A look at the curricula of many French engineering schools reveals that their global vision is reflected in educational categories geared towards theoretical, rational and deterministic generalist learning, with a focus on the main application targets. Links with industry are developed in large part through internships, which broaden the somewhat closed vision provided by their school. This situation has its roots in history, with the need to master mathematical models to design structures, weapons, bridges, factories, material and energy transformation processes, and so on. What we are witnessing is the decline of technological eras from coal to electricity to electronics, with an increasingly constrained environment and demands for ever more sophisticated devices, with ever shorter life spans, in a changing social context. The question posed in this reflection is to analyze whether the impact of the major trends we have just mentioned is likely to call into question, at least in part, the fundamentals of current training courses. What we are showing is the importance of rigorous concepts, which must nevertheless be extended in different ways to other fields, promoting creativity, imagination and agility to bring the engineer’s work closer to the social demand for new needs. For the time being, the authors see this as a flexible/adaptive approach that should encourage creative modes on the part of students, the mastery of doubt, interdisciplinarity and the management of complexity in the development of industrial processes.

Some analytical properties of moving averages. Application to the detection of trends in a signal
Jacques Padet

The analysis of very irregular processes is often based on the search for a trend, an average curve representing the general course of the observed phenomenon. If each people is more or less capable of drawing such a curve freehand, in an intuitive way, its objective determination is very delicate. The method of moving averages being one of the most used in the search for trends, we propose here to study some properties of these moving averages (essentially mean and variance, or standard deviation). We then show that they can be used to detect characteristic observation windows, leading to structural trends of the analyzed signal. The notion of tau-average (trend obtained by a moving average with a variable window) is also re-examined.

Alain le Méhauté, Michel Feidt

Le volume 2 du projet Lîla Entropie engage véritablement les fondations théoriques d’un statut géométrique de l’entropie ; statut susceptible d’être exempté de toutes statistiques. Telle est la finalité à terme du travail de Philippe Riot qui interroge, par le biais de la théorie des nombres et dans deux articles complémentaires, non pas l’usage du temps pour parler de la dynamique mais l’usage de l’opérateur standard de succession pour parler du temps qui passe. L’ordre nouveau qui émerge de l’analyse relèvera désormais de celui attaché à l’ombilic des mathématiques : la fonction zêta. Celle-ci devenant de fait aussi l’ombilic de la physique des systèmes complexes et intriqués, la signification de zêta comme nouvelle horloge sera explicitée dans le volume 3 du projet Lîla Entropie.

Starting from Boltzmann equation, introduction to the concept of entropy according to Cédric Villani
Alain Le Méhauté, Dmitrii Tayurskii

The purpose of this note is to report as closely as possible some aspects of the mathematical work of Cédric Villani on Boltzmann equations and its avatars. This approach is based on a selection by the author of "copied and pasted" of the chapters of an article written by the mathematician published in volume XV of the Poincaré Institute seminars on Time between pages 17 to 75 bearing the title " (Ir)reversibility and entropy”. Due to lack of availability, this note could not be taken care of by the academician, which is why it was assumed by one of the editors. Its sole purpose of the "text pasting" is to convince the engineer or physicist reader to immerse themselves in the original text and in the many writings and conferences of Cédric Villani. This note should make it possible to understand from which solid base can operate epistemological revisions of a thought about time.

The Riemann zeta function or the navel of mathematics to deal with complexity (1)
Philippe Riot

The Riemann zeta function is identified on the one hand as a substitute for the equality predicate and on the other hand as a model of continuity. Thanks to this second interpretation, Riemann’s conjecture addressing the distribution of non-trivial zeros of this function is not resolved here, it is dissolved in the sense that its statement turns out to be equivalent to an essential axiom of the forcing technique, namely the Martin’s axiom. For practical reasons of length of the text, the restitution of the study of this function is divided into two parts. The first focuses on the interpretation of the zeta function as a logical interpolator while the second part will be devoted to the topological and ordinal study to understand the meaning of the Riemann statement concerning the location of nontrivial zeros of this function. The interpretation of the function resulting from the study, the main conclusions of which are presented in both articles, explains the central role played by this function not only in mathematics, but also in many other scientific fields, in particular to study the behavior of complex systems.

About the classification of digital infinities
Claude P. BRUTER

This note introduce the definitions of ordinal and cardinal equipotent as well as a first classification of infinite countable sets with a regular and uniform character.

The Riemann zeta function or the umbilicus of mathematics (II): about the foundations
Philippe Riot

Whereas the part 1 sentence attributed to Heraclitus « εν και παν » is a whole merit of being revisited. The significance of the Riemann zeta function ζ emerges using an ordinal reading of this function. In this context, it is important to complete the basic axioms attached to ZFC set theory (Zermelo-Fraenckel with axiom of choice) in order to precisely characterize the cardinality of the continuum. The very definition of the function justifies retaining Martin’s axiom (allowing the rules of infinite combinatorics to be extended beyond the threshold of the smallest uncountable ordinal), the simplest forcing axiom which avoids any argument from metamathematical nature. It then turns out that this is reformulated in an equivalent way like Riemann’s statement on the distribution of its non-trivial zeros.

Editorial Board

Editor in Chief

Michel FEIDT
Université de Lorraine

Vice Editor in Chief

Philippe GUIBERT
Sorbonne Université


Université de Gabès

Université de Franche-Comté

George DARIE
Université Politehnica de Bucarest
Lazlo KISS
Université du Québec à Chicoutimi
Université Rovira i Virgili
Gianpaolo MANFRIDA
Université de Florence
Phillipe MATHIEU
Université de Liège
Université de Toulouse


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