55 citations · 381 across the 38 of their papers we have counts for
5 papers · 1 filter
Hierarchical structure of noncanonical Hamiltonian systems
Z. Yoshida, P. J. Morrison
Topological constraints play a key role in the self-organizing processes that create structures in macro systems. In fact, if all possible degrees of freedom are actualized on equa…
Relabeling symmetry in relativistic fluids and plasmas
Yohei Kawazura, Zensho Yoshida, Yasuhide Fukumoto
The conservation of the recently formulated relativistic canonical helicity [Yoshida Z, Kawazura Y, and Yokoyama T 2014 J. Math. Phys. 55 043101] is derived from Noether's theorem…
Self-organization in foliated phase space: Construction of a scale hierarchy by adiabatic invariants of magnetized particles
Z. Yoshida, S. M. Mahajan
Adiabatic invariants foliate phase space, and impart a macro-scale hierarchy by separating microscopic variables. On a macroscopic leaf, long-scale ordered structures are created w…
A hierarchy of noncanonical Hamiltonian systems: circulation laws in an extended phase space
Z. Yoshida, P. J. Morrison
The dynamics of an ideal fluid or plasma is constrained by topological invariants such as the circulation of (canonical) momentum or, equivalently, the flux of the vorticity or mag…
Numerical study on a canonized Hamiltonian system representing reduced magnetohydrodynamics and its comparison with two-dimensional Euler system
Yuta Kaneko, Zensho Yoshida
Introducing a Clebsch-like parameterization, we have formulated a canonical Hamiltonian system on a symplectic leaf of reduced magnetohydrodynamics. An interesting structure of the…