The choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals

Abstract Quantifying natural processes that shape our planet is a key to understanding the geological observations. Many phenomena in the Earth are not in thermodynamic equilibrium. Cooling of the Earth, mantle convection, mountain building are examples of dynamic processes that evolve in time and s...

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Autores principales: L. Tajčmanová, Y. Podladchikov, E. Moulas, L. Khakimova
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/8c33b0c1e5d34b75a77bef448677a262
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spelling oai:doaj.org-article:8c33b0c1e5d34b75a77bef448677a2622021-12-02T15:15:13ZThe choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals10.1038/s41598-021-97568-x2045-2322https://doaj.org/article/8c33b0c1e5d34b75a77bef448677a2622021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-97568-xhttps://doaj.org/toc/2045-2322Abstract Quantifying natural processes that shape our planet is a key to understanding the geological observations. Many phenomena in the Earth are not in thermodynamic equilibrium. Cooling of the Earth, mantle convection, mountain building are examples of dynamic processes that evolve in time and space and are driven by gradients. During those irreversible processes, entropy is produced. In petrology, several thermodynamic approaches have been suggested to quantify systems under chemical and mechanical gradients. Yet, their thermodynamic admissibility has not been investigated in detail. Here, we focus on a fundamental, though not yet unequivocally answered, question: which thermodynamic formulation for petrological systems under gradients is appropriate—mass or molar? We provide a comparison of both thermodynamic formulations for chemical diffusion flux, applying the positive entropy production principle as a necessary admissibility condition. Furthermore, we show that the inappropriate solution has dramatic consequences for understanding the key processes in petrology, such as chemical diffusion in the presence of pressure gradients.L. TajčmanováY. PodladchikovE. MoulasL. KhakimovaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
L. Tajčmanová
Y. Podladchikov
E. Moulas
L. Khakimova
The choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals
description Abstract Quantifying natural processes that shape our planet is a key to understanding the geological observations. Many phenomena in the Earth are not in thermodynamic equilibrium. Cooling of the Earth, mantle convection, mountain building are examples of dynamic processes that evolve in time and space and are driven by gradients. During those irreversible processes, entropy is produced. In petrology, several thermodynamic approaches have been suggested to quantify systems under chemical and mechanical gradients. Yet, their thermodynamic admissibility has not been investigated in detail. Here, we focus on a fundamental, though not yet unequivocally answered, question: which thermodynamic formulation for petrological systems under gradients is appropriate—mass or molar? We provide a comparison of both thermodynamic formulations for chemical diffusion flux, applying the positive entropy production principle as a necessary admissibility condition. Furthermore, we show that the inappropriate solution has dramatic consequences for understanding the key processes in petrology, such as chemical diffusion in the presence of pressure gradients.
format article
author L. Tajčmanová
Y. Podladchikov
E. Moulas
L. Khakimova
author_facet L. Tajčmanová
Y. Podladchikov
E. Moulas
L. Khakimova
author_sort L. Tajčmanová
title The choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals
title_short The choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals
title_full The choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals
title_fullStr The choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals
title_full_unstemmed The choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals
title_sort choice of a thermodynamic formulation dramatically affects modelled chemical zoning in minerals
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/8c33b0c1e5d34b75a77bef448677a262
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