Thorough review of external differential forms calculus basic theses presented. Potentialities of this mathematical discipline, which can describe physical properties of dielectric materials, magnets and photonic materials influenced by mechanical, thermal and electromagnetic factors more logically and objectively, then traditional methods, demonstrated. Methodological effectiveness of the differential forms of thermodynamic potentials application in the macroscopic properties of homogeneous mono- and polyvariant systems description has been demonstrated. The simple, fundamental, symmetrical to the thermodynamic variables choice relations demonstrating the calculus of differential forms benefits have been obtained. Using Pfaffian forms thermodynamics, have been demonstrated, that differential forms calculus application to a description of the physical reality allows to operate physical concepts at a deeper level, based on the fundamental physical and mathematical principles.
| Published in | Journal of Photonic Materials and Technology (Volume 3, Issue 2) |
| DOI | 10.11648/j.jmpt.20170302.11 |
| Page(s) | 6-13 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
External Differential Forms, Thermodynamic Potentials, External Product, Maxwell’s Identity, Photonic Materials
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APA Style
Valerii V. Shelest, Alexander V. Hristov, Dmitrii A. Chervinskii, Vladimir V. Rumyantsev. (2017). Thermodynamic Potentials Theory Aspects in External Differential Forms Calculus Representation. Journal of Photonic Materials and Technology, 3(2), 6-13. https://doi.org/10.11648/j.jmpt.20170302.11
ACS Style
Valerii V. Shelest; Alexander V. Hristov; Dmitrii A. Chervinskii; Vladimir V. Rumyantsev. Thermodynamic Potentials Theory Aspects in External Differential Forms Calculus Representation. J. Photonic Mater. Technol. 2017, 3(2), 6-13. doi: 10.11648/j.jmpt.20170302.11
AMA Style
Valerii V. Shelest, Alexander V. Hristov, Dmitrii A. Chervinskii, Vladimir V. Rumyantsev. Thermodynamic Potentials Theory Aspects in External Differential Forms Calculus Representation. J Photonic Mater Technol. 2017;3(2):6-13. doi: 10.11648/j.jmpt.20170302.11
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Download@article{10.11648/j.jmpt.20170302.11,
author = {Valerii V. Shelest and Alexander V. Hristov and Dmitrii A. Chervinskii and Vladimir V. Rumyantsev},
title = {Thermodynamic Potentials Theory Aspects in External Differential Forms Calculus Representation},
journal = {Journal of Photonic Materials and Technology},
volume = {3},
number = {2},
pages = {6-13},
doi = {10.11648/j.jmpt.20170302.11},
url = {https://doi.org/10.11648/j.jmpt.20170302.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jmpt.20170302.11},
abstract = {Thorough review of external differential forms calculus basic theses presented. Potentialities of this mathematical discipline, which can describe physical properties of dielectric materials, magnets and photonic materials influenced by mechanical, thermal and electromagnetic factors more logically and objectively, then traditional methods, demonstrated. Methodological effectiveness of the differential forms of thermodynamic potentials application in the macroscopic properties of homogeneous mono- and polyvariant systems description has been demonstrated. The simple, fundamental, symmetrical to the thermodynamic variables choice relations demonstrating the calculus of differential forms benefits have been obtained. Using Pfaffian forms thermodynamics, have been demonstrated, that differential forms calculus application to a description of the physical reality allows to operate physical concepts at a deeper level, based on the fundamental physical and mathematical principles.},
year = {2017}
}
TY - JOUR T1 - Thermodynamic Potentials Theory Aspects in External Differential Forms Calculus Representation AU - Valerii V. Shelest AU - Alexander V. Hristov AU - Dmitrii A. Chervinskii AU - Vladimir V. Rumyantsev Y1 - 2017/07/27 PY - 2017 N1 - https://doi.org/10.11648/j.jmpt.20170302.11 DO - 10.11648/j.jmpt.20170302.11 T2 - Journal of Photonic Materials and Technology JF - Journal of Photonic Materials and Technology JO - Journal of Photonic Materials and Technology SP - 6 EP - 13 PB - Science Publishing Group SN - 2469-8431 UR - https://doi.org/10.11648/j.jmpt.20170302.11 AB - Thorough review of external differential forms calculus basic theses presented. Potentialities of this mathematical discipline, which can describe physical properties of dielectric materials, magnets and photonic materials influenced by mechanical, thermal and electromagnetic factors more logically and objectively, then traditional methods, demonstrated. Methodological effectiveness of the differential forms of thermodynamic potentials application in the macroscopic properties of homogeneous mono- and polyvariant systems description has been demonstrated. The simple, fundamental, symmetrical to the thermodynamic variables choice relations demonstrating the calculus of differential forms benefits have been obtained. Using Pfaffian forms thermodynamics, have been demonstrated, that differential forms calculus application to a description of the physical reality allows to operate physical concepts at a deeper level, based on the fundamental physical and mathematical principles. VL - 3 IS - 2 ER -
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