8 citations · 12 across the 6 of their papers we have counts for
6 papers
Compact Core--Shell Equilibria in Gravitational Vlasov--Poisson Systems with Positive and Negative Mass
Naoki Sato
We construct regular, spherically symmetric, compact energy-cutoff equilibria for gravitational Vlasov--Poisson systems sourced by positive and negative mass distributions in the c…
Structural Requirements for Ion-Acoustic Double Layers: A Parametric Perturbation Analysis of the Maxwellian Limit
Hamdi M. Abdelhamid, Abeer A. Mahmoud, Naoki Sato
Standard Maxwellian plasmas exhibit a mathematical \textit{rigidity}, possessing insufficient degrees of freedom to support electrostatic double layers (DLs) and yielding only soli…
Scattering Theory in Noncanonical Phase Space: A Drift-Kinetic Collision Operator for Weakly Collisional Plasmas
Naoki Sato, Philip J. Morrison
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 d…
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…
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…
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…