Pré-Publication, Document De Travail Année : 2022

Mimetic approach of nuclear spin in discrete mechanics

Jean-Paul Caltagirone
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Résumé

The notion of nuclear spin is extended in the context of discrete mechanics. This macroscopic vision of fields establishes that the acceleration of a particle or a material medium is the sum of the accelerations applied to it. The notion of mass is abandoned in favor of energy and the global frame of reference is replaced by a discrete local frame of reference. The spin magnetic moment is integrated within this formulation to define a spin angular acceleration as a curl in discrete equation of motion. This law of conservation of energy per unit of mass, an acceleration, allows to find all the analytical or numerical solutions of the classical equations and in particular of the Navier-Stokes equation for fluid flows. The integration of the notion of nuclear spin in a mimetic approach allows to directly approach flows induced by magnetic fields.

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hal-03713522 , version 1 (04-07-2022)

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  • HAL Id : hal-03713522 , version 1

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Jean-Paul Caltagirone. Mimetic approach of nuclear spin in discrete mechanics. 2022. ⟨hal-03713522⟩
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