• Self-consistent kinetic/hybrid plasma modeling unifies particle methods with field solvers to capture collisional dynamics, enabling PIC-MCC and hybrid Monte Carlo/fluid treatments across RF and DC discharges [1], [8], [3], [9].

• Boundary-layer physics shaping sheath/presheath transitions: multiple works develop boundary conditions, potential profiles, and field behavior at plasma–wall interfaces, addressing singularities, Bohm criterion, and analytic sheath potentials [2], [12], [17], [13], [5], [14].

• Dusty plasma physics and particulate contamination affecting charging, scattering, and transport in processing plasmas. Kinetic dust theory, dust–plasma collisions, dust near boundaries, and particulate contaminants in glow discharges illustrate how micro-particles modify plasma behavior [18], [15], [16], [19].

• Electronegative gas dynamics create multi-species, nonlocal electron transport and attachment processes in RF discharges, prompting dedicated models to capture chemistry and transport in gases like SiH4/H2 or Cl-containing systems [10], [20].

• Development of multi-dimensional fluid models and transport descriptions for partially ionized plasmas, with 2D geometries and spatially varying power deposition, enabling studies of ICP, magnetized and boundary-driven plasmas [7], [11], [9].