Scattering theory in noncanonical phase space: A Drift-Kinetic collision operator for weakly collisional plasmas

Sato, Naoki; Morrison, Philip J.

doi:10.1063/5.0289410

Scattering theory in noncanonical phase space: A Drift-Kinetic collision operator for weakly collisional plasmas

Journal Article · Tue Oct 07 00:00:00 EDT 2025 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0289410· OSTI ID:2997889

^[1]; ^[2]

National Inst. for Fusion Science (Japan)
Univ. of Texas, Austin, TX (United States)

After developing a scattering theory for grazing collisions in general noncanonical phase spaces, we introduce a guiding center collision operator in five-dimensional phase space designed for plasma regimes characterized by long wavelengths (relative to the Larmor radius), low frequencies (relative to the cyclotron frequency), and weak collisionality (where repeated Coulomb collisions induce cumulatively small changes in particle magnetic moment). The collision operator is fully determined by the noncanonical Hamiltonian structure of guiding center dynamics and exhibits a metriplectic structure, ensuring the conservation of particle number, momentum, energy, and interior Casimir invariants. It also satisfies an H-theorem, allowing for deviations from an equilibrium Maxwellian distribution due to the nontrivial kernel of the noncanonical guiding center Poisson tensor, spanned by the magnetic moment. We propose that this collision operator and its underlying mathematical structure may offer valuable insight into the study of turbulence, transport, and self-organizing phenomena in both laboratory and astrophysical plasmas.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FG02-04ER54742

OSTI ID:: 2997889

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 32; ISSN 1070-664X; ISSN 1089-7674

Publisher:: AIP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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