or
structural atoms arrays with the specific for each particle and atom
electrodynamic local governing set of equations.
The Annals of Exploratory Science
ABSTRACT
We build at first the spatial 3D morphologies of physical space occupation
with the 3D physical structural volumetric models of electron arrays, the
similar 3D spatial physical models of
or
structural atoms arrays with the specific for each particle and atom
electrodynamic local governing set of equations.
The local EM fields in the sample of a material have been modeled via the 3P electrodynamic theory (MHL or GEK (Galilean electrodynamics by Klyushin)) while the averaged Upper spatial scale distributions are determined through the governing equations for Heterogeneous medium that is the particulate phases, atomic "phase" and an aether in the volume of a sample.
That gives the ability and methods for the theory and modeling of non-local
bulk electrodynamics and momentum dynamics of the all participating and
interacting particles and atoms in the outlined volume. Obtaining the nonlocal
averaged governing equations for an outlined free form Representative
Elementary Volume (REV) in the specified volume with the solid phase
of
or/and
metal with the amount of free electrons within the space of a sample is the
ultimate goal in the overall problem modeling and simulation.
That is the theory and methods are quite different from the known methods of molecular dynamics (MD), different in many ways.
The boundary of sample's volume should be considered as the boundaries of an
enclosed volume by the solid phase another material, for example, of
or of the gaseous phase, as
(hydrogen) which is easier to model. The structure of even smooth
surface, no matter of how smooth on continuum meso-scales
~(
-
)[m] it can be, nevertheless, it will be of rough actual interface surface at
the
(
-
)[m] scales. That is the collisions of particles from within the volume with
the unsteady dynamics of atoms and particles pertaining to the boundary wall
material have a challenge to model as well.
Magnetization used to be made through the modification of the external (of
upper scale consideration) magnetic field
in its spatial direction and strength makes the whole ensemble of the sample's
particles and atoms to respond in a predictable mode. That mode includes the
interaction of the Upper scale (meso-scale) electromagnetic fields of the
electromagnetic constituents of the material's sample (its particles and
atoms) with the external electromagnetic fields.
The unsteady external electromagnetic fields - is that the understanding of the 3P magnetism as the proliferation of the major sub-atomic particles and atoms themselves collective electromagnetic expression via the known nuclear and particle physics experimental facts, of the external medium, material EM fields and energy distributions. Or it is the external EM fields expression that are produced or created by external technical device, construct. In both cases the outside EM fields are acting via the interaction with the lower and Upper (nonlocal, averaged) EM fields of the material's sample.
These Upper EM fields are determined via the scaled averaging in Heterogeneous by nature of matters of the lower scale governing equations. While these lower scale governing equations in their turn can be and almost always are themselves the result of Top-Down physical consideration and averaging of the even lower scales.
We should consider the unsteady external electromagnetic fields also as the implementation of the external "temperature" boundary conditions, because in the case of the external thermal influence it is usually accomplished via the particulate interaction either with the flux of photons of the temperature wave length or by electromagnetic fields of atoms combined with the possible "free" electrons.
We try to determine with the 3P mathematical modeling tools the difference
that demonstrate the samples of
and
metals on the continuum scales while their atomic and nuclear properties also
have been subjected to comparison with the continuum polyscale models of
and
.
This kind of study the Conventional Orthodox Homogeneous Physics (COHP) could not perform in the past as soon as COHP has not had the tools for Heterogeneous polyphase theory. Simply saying the COH physics cannot perform correctly the averaging of Heterogeneous dynamics phenomena.
We have demonstrated the existence of a few physical phenomena in this polyscale process that cannot be recognized, modeled and simulated with use of the one scale homogeneous physics magnetism of COHP.
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Tuesday, 30-Apr-2024 02:03:42 GMT
Any information displayed here is the propriatary information in the area of "Evaluation of Magnetic Fields and Magnetization of Fe and Cu Atoms and Their Continuum Solid State Plates at Various Temperatures **."
This is also the well known problem - still can not be solved within the Homogeneous One-Scale Magnetism theory, electromagnetism, particle physics.
