Theoretical Foundations and Methodological Developments in the Study of Particle Transport Mechanisms and Microstructural Evolution Employing the Hybrid Quantum Monte Carlo–Boltzmann Transport Model

Within the comprehensive framework of the Sun–Earth system, plasma environments exhibit an exceptionally wide range of physical conditions. These encompass the ultra-high-temperature, high-pressure, and high-density liquid metallic outer core of Earth, which generates the geomagnetic field through the geodynamo process; the tenuous, partially ionized ionosphere; and the magnetosphere, which provides essential shielding against energetic cosmic and solar radiation while exerting substantial influence on human technological systems, most notably microwave communication infrastructure. In addition, transient ultra-high-temperature plasmas generated by solar flares and coronal mass ejections (CMEs) represent the primary drivers of disturbed space electromagnetic environments, as they propagate through interplanetary space and subsequently interact with Earth's magnetosphere.Although prior research has extensively employed the first-principles quantum Monte Carlo method coupled with the lattice Boltzmann approach (FPQM-LBM) to address various theoretical and computational aspects of plasma behavior in this context, no existing modeling framework has successfully integrated — within a single consistent methodology — the extreme conditions of the Earth's outer core plasma, the low-density ionospheric plasma, the magnetospheric plasma, and the highly energetic, transient flare/CME plasmas. As a result, a unified and comprehensive understanding of particle transport mechanisms and internal structural properties across the full spectrum of plasma regimes in the Sun–Earth system remains elusive.The present study aims to address this critical gap by developing novel theoretical frameworks and advanced computational methodologies for elucidating the particle migration mechanisms and structural characteristics of space electromagnetic plasmas throughout the panoramic Sun–Earth system. To this end, we will enhance the first-principles quantum Monte Carlo–lattice Boltzmann method (FPQM-LBM) to establish robust techniques capable of modeling particle transport under the complex electromagnetic conditions prevailing in space environments. The improved FPQM-LBM framework will be systematically applied to simulate particle dynamics across the aforementioned plasma regimes — namely, the ultra-high-temperature/pressure/density outer core plasma, the low-density ionosphere, the magnetosphere, and transient flare/CME plasmas — with particular emphasis on ionic characteristics, microstructural evolution, fine-scale particle transport processes, internal structural transformations, and the response of plasma properties to external electromagnetic perturbations. The anticipated results are expected to furnish a solid theoretical foundation and valuable predictive capabilities for advancing solar–terrestrial space physics and enhancing electromagnetic monitoring and forecasting in space weather research.