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A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances
Joint Authors
Grinfeld, Michael
Grinfeld, Pavel
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We discuss equilibrium conditions for heterogeneous substances subjectto electrostatic or magnetostatic effects.
We demonstrate that theforce-like aleph tensor ℵij and the energy-like beth tensor ℶij for polarizabledeformable substances are divergence-free: ∇iℵij=0 and ∇iℶij=0.
We introduce two additional tensors: the divergence-free energy-like gimeltensor ℷij for rigid dielectrics and the general electrostatic gamma tensor Γij which is not divergence-free.
Our approach is based on a logically consistent extension of the Gibbsenergy principle that takes into account polarization effects.
While themodel is mathematically rigorous, we caution against the assumption thatit can reliably predict physical phenomena.
On the contrary, clear modelsoften lead to conclusions that are at odds with experiment and thereforeshould be treated as physical paradoxes that deserve the attention of thescientific community.
American Psychological Association (APA)
Grinfeld, Michael& Grinfeld, Pavel. 2015. A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1053012
Modern Language Association (MLA)
Grinfeld, Michael& Grinfeld, Pavel. A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances. Advances in Mathematical Physics No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1053012
American Medical Association (AMA)
Grinfeld, Michael& Grinfeld, Pavel. A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1053012
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053012