Extension of Discrete Mechanics towards Electromagnetism
| hal.structure.identifier | Institut de Mécanique et d'Ingénierie de Bordeaux [I2M] | |
| dc.contributor.author | CALTAGIRONE, Jean-Paul | |
| dc.date.accessioned | 2021-05-14T09:46:17Z | |
| dc.date.available | 2021-05-14T09:46:17Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/76992 | |
| dc.description.abstractEn | The attempt to unify the laws of physics is approached from a discrete vision of space and time, abandoning the continuous medium paradigm that presided over the derivation of certain equations of physics-Navier-Stokes., Navier-Lamé, Maxwell, etc. Acceleration considered as an absolute quantity is expressed as a Hodge-Helmholtz decomposition, the sum of a solenoidal component and an irrotational component. Discrete mechanics, which has already unified mechanics in a relativistic formulation, is extended to electromagnetism with the same equation of motion expressed in terms of scalar and vector potentials. All the variables and parameters of this equation are described with only two fundamental units, those of length and time. The discrete equation makes it possible to account for persistent phenomena in the absence of any excitation, permanent magnetization, pressure, shear stress and purely unsteady effects such as magnetic induction, longitudinal and transversal wave propagation, differential rotation. | |
| dc.language.iso | en | |
| dc.subject.en | Discrete Mechanics | |
| dc.subject.en | Weak Equivalence Principle | |
| dc.subject.en | Hodge-Helmholtz Decomposition | |
| dc.subject.en | Maxwell equations | |
| dc.subject.en | Navier-Stokes equations | |
| dc.subject.en | Hodge-Helmholtz Decompo-sition | |
| dc.title.en | Extension of Discrete Mechanics towards Electromagnetism | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Electromagnétisme | |
| dc.identifier.arxiv | 1810.02540 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| hal.identifier | hal-01886981 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01886981v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CALTAGIRONE,%20Jean-Paul&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||