output
19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2019 · math-phShow all

3 papers · 2 filters

math-ph2019★ 7 cited

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…

math-ph2019★ 2 cited

Existence of ideal magnetofluid equilibria without continuous Euclidean symmetries

Naoki Sato

We study the existence of steady solutions of ideal magnetofluid systems (ideal MHD and ideal Euler equations) without continuous Euclidean symmetries. It is shown that all nontriv…

math-ph2019★ 1 cited

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…