Entropic potential as manifold for the reduced entropy
representations in superconductivity
Z. Bousnane^{1}, M. Benslama^{2}, N. Merabtine^{2},

^{1}Physics Department, Faculty of Science, University of Batna, 05000 Algeria
^{2}Electromagnetism and Telecommunication Laboratory, Electronics Department,
Faculty of Engineering, University of Constantine, 25000 Algeria
Corresponding author: malekbenslama@hotmail.com

Abstract. The “cold” causes superconductivity phenomenon, as a measurement process
generating a phase transitions of the second order, and also permitting the rise of
phenomenological parameters, but not allowing the stability of such behaviour, we will
have to write this stability to be supported by a new kind of value as an entropic potential
which learns the systems how to display over all possible microconfigurations, and the
systems by their faculties to increase their standard entropies, dictate the form of this
potential, this will be written as a recursive operatorial equations. The picture of such
potential is interference between thermodynamical length scales of entropies, it seems as
a world of different undetermination orders, if a given variational principle is put down,
it will transit over several definitions. The representation of the entropic potential as a
group transformation linking different temperature thermodynamical length scales as
described by L. Landau will suggest that among considerations brought on propagation
of order parameter carving the recursive stationary state. Concerning the stability
conditions, a context of matrices description will be proposed, as managing the fact that
superconductor, is superconductor per pavement, and the matrixes notations, is
determining the interaction between order parameters as “Heredity” concerning
dimensions, orientations and a mixed subinteraction, where equivalently dimensions and
orientations are mutually excluded each other. The beginning of emergence of this value
is rooted when combinatory formulation of matter, is taken in the order of measurement
process with eigen results, corresponding to normalised macroscopicity levels. The
asymptotic expression for the entropic potential, will be expressing a physical situation
defining that, deflections are collected by a variational principle brought on the Landau
length coherence. The introduction of covariant, contravariant and mixed current density
matrices will establish the limit, according which the reproducible recursive
configurations is only obtained by triplication of a combined fundamental states.