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gr-qc2024
A Collision Operator for Field-Mediated Interactions in General Relativistic Kinetic Theory
Naoki Sato
We develop a Hamiltonian framework for general relativistic kinetic theory on the cotangent bundle of a Lorentzian (pseudo-Riemannian) manifold. Starting from the geode…
astro-ph.EP2024
Axisymmetric Dynamos Sustained by a Modified Ohm's Law in a Toroidal Volume
Naoki Sato, Kumiko Hori
This work tackles a significant challenge in dynamo theory: the possibility of long-term amplification and maintenance of an axisymmetric magnetic field. We introduce a novel model…
cond-mat.stat-mech2024★ 8 cited
A Collision Operator for Describing Dissipation in Noncanonical Phase Space
Naoki Sato, Philip J. Morrison
The phase space of a noncanonical Hamiltonian system is partially inaccessible due to dynamical constraints (Casimir invariants) arising from the kernel of the Poisson tensor. When…