69 citations · 257 across the 17 of their papers we have counts for
17 papers
Rotations in classical mechanics using geometric algebra
S. D. Brechet
In geometric algebra, the rotation of a vector is described using rotors. Rotors are phasors where the imaginary number has been replaced by a oriented plane element of unit area c…
Electrodynamics in geometric algebra
Sylvain D. Brechet
We consider the electrodynamics of electric charges and currents in vacuum and then generalise our results to the description of a dielectric and magnetic material medium : first i…
Onsager-Casimir reciprocal relations
Sylvain D. Brechet
The Onsager reciprocal relations are established within the phenomenological framework of the thermodynamics of irreversible processes. In order to do so, the dissipated power dens…
Relativistic thermodynamics of perfect fluids
Sylvain D. Brechet, Marin C. A. Girard
The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by Stückelberg. This covari…
Variational principle for magnetisation dynamics in a temperature gradient
Sylvain D. Brechet, Jean-Philippe Ansermet
By applying a variational principle on a magnetic system within the framework of extended irreversible thermodynamics, we find that the presence of a temperature gradient in a ferr…
Magnetic Nernst effect
Sylvain D. Brechet, Jean-Philippe Ansermet
The thermodynamics of irreversible processes in continuous media predicts the existence of a Magnetic Nernst effect that results from a magnetic analog to the Seebeck effect in a f…