Active Phase Stabilisation in a Plasma Resonator Using Feedback Control and Auxiliary Scalar-like Coupling | Chapter 6 | New Horizons of Science, Technology and Culture Vol. 9

 

Maintaining coherence in resonant plasma and hybrid quantum systems remains a central challenge due to phase drift, environmental coupling, and entropy production. In this work, we investigate an active coherence locking framework for a plasma-based resonator using feedback-mediated phase control, auxiliary scalar field coupling, and entropy-aware regulation. The present study focuses explicitly on classical phase coherence, defined here as sustained phase synchronisation between coupled oscillatory degrees of freedom, while treating quantum coherence as a long-term target rather than a demonstrated property of the modelled system.

 

A phenomenological scalar field is introduced as an auxiliary control channel that mediates phase alignment between resonant plasma modes, while entropy flow is monitored and regulated to suppress destabilising fluctuations. Using time-resolved numerical simulations, we demonstrate that active feedback can rapidly drive the system into a stable phase-locked regime and maintain coherence within defined operational bounds. A critical instability threshold (“tearing threshold”) is identified, beyond which feedback control fails, and coherence degrades.

 

While the underlying plasma dynamics are treated in a classical or semiclassical regime, the control architecture is motivated by concepts from quantum feedback and coherence preservation. The results establish a classical coherence-stabilisation platform that may serve as a precursor to experimentally testable strategies for coherence preservation in more explicitly quantum systems. This work, therefore, provides a controlled bridge between classical resonant stabilisation and future quantum-coherent implementations.

 

 

Author(s) Details

Derrick Covington
Department of Veterans Affairs, United States.

 

Please see the book here :- https://doi.org/10.9734/bpi/nhstc/v9/6896

Exact Solution of Far-Region Scattering Electromagnetic Fields by a Dipole Antenna Located on a Planar Multi-Layered Earth | Chapter 6 | Emerging Issues in Environment, Geography and Earth Science Vol. 6

 

A model of three-dimensional electromagnetic (EM) scattering from a vertical magnetic dipole (VMD) antenna placed on a planar multi-layered earth within homogeneous-layered or vertically inhomogeneous media is used to derived approximate formulas for the electromagnetic fields (EMFs) scattering in far region. Furthermore, exact solution to the electromagnetic fields (EMFs) are computed in several different cases, and numerical simulations are executed to show the validity of the used method, which can be valid irrespective of the operating frequency, over the preceding solutions, in addition to its benefits in saving time over others techniques.

 

Author(s) Details:

 

H. Sh. Shoeib
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt and El-Gazeera Higher Institute for Engineering and Technology, Egypt.

 

Please see the book here:  https://doi.org/10.9734/bpi/eieges/v6/1980G

Exact Solution of Far-Region Scattering Electromagnetic Fields by a Dipole Antenna Located on a Planar Multi-Layered Earth | Chapter 6 | Emerging Issues in Environment, Geography and Earth Science Vol. 6

A model of three-dimensional electromagnetic (EM) scattering from a vertical magnetic dipole (VMD) antenna placed on a planar multi-layered earth within homogeneous-layered or vertically inhomogeneous media is used to derived approximate formulas for the electromagnetic fields (EMFs) scattering in far region. Furthermore, exact solution to the electromagnetic fields (EMFs) are computed in several different cases, and numerical simulations are executed to show the validity of the used method, which can be valid irrespective of the operating frequency, over the preceding solutions, in addition to its benefits in saving time over others techniques.

Author(s) Details:

H. Sh. Shoeib,
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt and El-Gazeera Higher Institute for Engineering and Technology, Egypt.

Please see the link here: https://stm.bookpi.org/EIEGES-V6/article/view/13108

The Equivalent Material Concept in Functionally Graded Plates Calculus | Chapter 3 | Theory and Applications of Engineering Research Vol. 1

 Functional sorted materials are collected of two extremely dissimilar fabrics whose properties change continuously, in accordance with a material regulation, with respect to their girth (beam or plate). The concept of equivalent material involves the substitute of the given material of slab marking baseball home, with an homogeneous and isotropic material, accompanying the same lines characteristics (shape and dimensions), accompanying the same load, that leads to the same behavior of the likely plate. This chapter aims to supply a way to solve a complicated situation (mathematical and fundamental), as in the case of FGM plates, with available means, arising out of the analytical arithmetic, but especially with the mathematical one, accompanying known professional numerical programs, accompanying common definite elements, with some others mathematical methods (e.g. Element Free Galerkin Method), outside intervention in the building of the program, in the finite element forms, in other words outside dedicated calculation programs. additional, the concept of equivalent material has a large size of generality, being able expected used two together in the calculation of slabs, but also of additional structures (beams, tubes accompanying thick walls, disks in turning motion, etc.). This concept - equivalent material - maybe successfully used two together in static and vital analysis of structures.  Thus, the use of the idea of equivalent material is exemplified for one calculus regarding the transverse dislocation and the modal analysis of a functionally sorted plate. The concept of the calculus approach (equivalent material), the models and the methods are valid for some type of load, different geometries of the plate and matters that are the basis for the achievement of the functionally graded material. The finite fundamental approach is used in this place chapter  with the Ansys program and individual of the most famous finite elements, the 3D Solid185 material, in both the average (structural) and multilayer finite factor versions.

Author(s) Details:

V. Nastasescu,
Military Technical Academy “Ferdinand I”, Bucharest, Romania.

S. Marzavan,
Military Technical Academy “Ferdinand I”, Bucharest, Romania.

Please see the link here: https://stm.bookpi.org/TAER-V1/article/view/12557

Stability Investigation of Systems of Nonlinear Stochastic Difference Equations| Chapter 6 | Research Highlights in Mathematics and Computer Science Vol. 2

 The aim concerning this research is to present a method for establishment investigation of systems of nonlinear distinctness equations influenced by various types of stochastic perturbations. The projected method is demonstrated on the strength investigation of a nonlinear discrete-opportunity model of information dissemination. We get the conditions for this system's certain equilibrium. It is demonstrated that drunk of stochastic perturbations of the various forms, containing minor multiplicative perturbations, rapidly fading multiplicative perturbations, and promptly fading preservative perturbations, asymptotically stable positive balance maintains its balance. Through the use of Lyapunov functions, linear matrix prejudices (LMIs), and numerical simulations of the system existing, stability requirements are driven. It is suggested to look at the synopsis where stochastic disturbances dissolve on the infinity, but not very fast, as an unresolved problem. The deliberate here method of strength investigation can be used for many other nonlinear mathematical models interpreted both by stochastic dissimilarity equations and by stochastic characteristic equations.

Author(s) Details:

Leonid Shaikhet,
Department of Mathematics, Ariel University, Ariel-40700, Israel.

Please see the link here: https://stm.bookpi.org/RHMCS-V2/article/view/8573