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Title: Relativistic approach to manipulating angular distribution of charged particles via kinetic equations 

Journal Article · · Physical Review Research

Deflection angles of charged particles interacting with materials play a critical role in various plasma applications. The development of a mathematically well-posed kinetic collision operator that accounts for deflection angles of strong Coulomb interactions remains a fundamental open problem. This paper presents a relativistic method for modifying the electromagnetic field in an anisotropic and adjustable manner to manipulate a system of charged particles, specifically by the transfer of angular momentum from a superluminal wave source to particles at specific times and locations. The method provides a mechanism to influence the scattering outcomes of strong interactions by manipulating the angular distribution of particles, and thus the deflection angles of their interactions with a solid surface, without requiring detailed knowledge of the kinetic collision operator. To this end, we demonstrate how a specific type of singularity, generated by Maxwell's equations for a superluminal wave source at the boundary of the plasma, can modify the electromagnetic field in a highly directional manner. The proposed method can lead to the development of novel approaches for controlling interactions of charged particles with a material in plasma systems. Published by the American Physical Society 2025

Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
SC0024472
OSTI ID:
2555856
Journal Information:
Physical Review Research, Journal Name: Physical Review Research Journal Issue: 2 Vol. 7; ISSN PPRHAI; ISSN 2643-1564
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (20)

Principles of Plasma Discharges and Materials Processing book January 2005
The Boltzmann Equation and Its Applications book December 1987
Mathematical Methods in Kinetic Theory book January 1990
Entropy dissipation rate and convergence in kinetic equations journal December 1989
Temperature, entropy, and kinetic theory journal June 1997
Global Solutions of the Boltzmann Equation Over $${\mathbb{R}^D}$$ R D Near Global Maxwellians with Small Mass journal July 2016
Lanford’s Theorem and the Emergence of Irreversibility journal February 2015
Fluctuation Theory in the Boltzmann–Grad Limit journal May 2020
Galilean theory of dispersion for kinetic equations journal January 2024
The electromagnetic radiation whose decay violates the inverse-square law: detailed mathematical treatment of an experimentally realized example journal June 2019
Hadamard regularization journal November 2000
Forgotten and neglected theories of Poincaré journal February 2006
On asymptotics of the Boltzmann equation when the collisions become grazing journal June 1992
Gamma-ray spectra of the Crab, Vela and Geminga pulsars fitted with SED of the emission from their current sheet journal May 2024
The 2021 quantum materials roadmap journal October 2020
Radiation by the superluminally moving current sheet in the magnetosphere of a neutron star journal August 2021
An alternative interpretation of magnetars’ traits deduced from the observational data on their outburst fluxes and spectra journal October 2024
Statistical Mechanics: Theory and Molecular Simulation book August 2023
Information Carried by Electromagnetic Radiation Launched from Accelerated Polarization Currents journal December 2020
Future of plasma etching for microelectronics: Challenges and opportunities journal June 2024