8 citations · 15 across the 4 of their papers we have counts for
4 papers · 1 filter
Dissipative Brackets for the Fokker-Planck Equation in Hamiltonian Systems and Characterization of Metriplectic Manifolds
Naoki Sato
It is shown that the Fokker-Planck equation describing diffusion processes in noncanonical Hamiltonian systems exhibits a metriplectic structure, i.e. an algebraic bracket formalis…
Local representation and construction of Beltrami fields II. Solenoidal Beltrami fields and ideal MHD equilibria
Naoki Sato, Michio Yamada
Object of the present paper is the local theory of solution for steady ideal Euler flows and ideal MHD equilibria. The present analysis relies on the Lie-Darboux theorem of differe…
Local Representation and Construction of Beltrami Fields
Naoki Sato, Michio Yamada
A Beltrami field is an eigenvector of the curl operator. Beltrami fields describe steady flows in fluid dynamics and force free magnetic fields in plasma turbulence. By application…
Poissonization of Three Dimensional Nonholonomic Dynamics with the Method of Extension
Naoki Sato
In this study we develop a systematic procedure to construct a Poisson operator that describes the dynamics of a three dimensional nonholonomic system. Instead of reducing by symme…