Akio Sugamoto

Nambu non-equilibrium thermodynamics: Axiomatic formulation and foundation

So Katagiri, Yoshiki Matsuoka, Akio Sugamoto

We present a theoretical framework for non-equilibrium thermodynamics, termed Nambu Non-equilibrium Thermodynamics (NNET), which unifies reversible dynamics described by the Nambu bracket and irreversible processes driven by entropy gradients. The formulation provides a covariant description of systems far from equilibrium, where entropy …

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Inflation model based on Virasoro squeezing

Kenji Ebata, So Katagiri, Yoshiki Matsuoka, Takaaki Sehara et autres

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Reduction of complex dynamics in far-from-equilibrium systems: Nambu non-equilibrium thermodynamics

So Katagiri, Yoshiki Matsuoka, Akio Sugamoto

Far-from-equilibrium thermodynamic systems dominated by strong nonlinearity are reformulated within a dynamical framework based on the Nambu bracket formalism. It is demonstrated that general complex nonlinear non-equilibrium systems can be locally reduced to a simple form of Nambu non-equilibrium thermodynamics. Furthermore, mathematical …

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Applications of Nambu Non-equilibrium Thermodynamics to Specific Phenomena

So Katagiri, Yoshiki Matsuoka, Akio Sugamoto

We apply Nambu non-equilibrium thermodynamics (NNET), a dynamics with multiple Hamiltonians coupled to entropy-induced dissipation, to paradigmatic far-from-equilibrium systems. Concretely, we construct NNET realizations for the Belousov-Zhabotinsky (BZ) reaction (oscillatory), the Hindmarsh-Rose neuron model (spiking), and the Lorenz and Chen systems (chaotic), …

Applications of Nambu Non-equilibrium Thermodynamics to Specific Phenomena

Yoshiki Matsuoka, So Katagiri, Akio Sugamoto

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Influence of polishing on diamond epitaxial film using vacuum-ultraviolet assisted polishing

Chiho Inada, Sho Toyama, Akio Sugamoto, Toshihiro Aono et autres

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Dyonium induced fermion number violation

Akio Sugamoto

Dyonium induced fermion number violation is studied in a SU(2)L×U(1)Y gauge theory with a doublet Higgs field. Dyonium is a generalization of Nambu's monopolium, having finite sized pair of dyon and anti-dyon, connected with a thin string under the linear plus Coulomb …

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A Formalism Useful to Study Beyond Squeezing in Non-linear Quantum Optics

Noriaki Aibara, Naoaki Fujimoto, So Katagiri, Akio Sugamoto et autres

A general formalism is given in quantum optics within a ring cavity, in which a non-linear material is stored. The method is Feynman graphical one, expressing the transition amplitude or S-matrix in terms of propagators and vertices. The propagator includes the additional …

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Dyonium Induced Fermion Number Violation

Akio Sugamoto

Dyonium induced fermion number violation is studied in a SU(2) x U(1) gauge theory with a doublet Higgs field. Dyonium is a generalization of Nambu's monopolium, having finite sized pair of dyon and anti-dyon, connected with a thin string under the linear …

Anomalous diffusion in a randomly modulated velocity field

Noriaki Aibara, Naoaki Fujimoto, So Katagiri, Yutaka Matsuo et autres

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Infrared Divergence and Low Energy Theorem in Non-Abelian Gauge Theory

Akio Sugamoto

In the thesis, first, the cancellation of infrared divergences in QED is reviewed. Next, two examples in QCD, the quark-quark scattering and the quark-gluon scattering are examined at one loop, from which the importance of Ward-Takahashi identities becomes manifest for the cancellation …

Fluctuating Non-linear Non-equilibrium System in Terms of Nambu Thermodynamics

So Katagiri, Yoshiki Matsuoka, Akio Sugamoto

It is shown that the structure of non-equilibrium thermodynamic system far from equilibrium can be captured in terms of a generalized "Nambu dynamics", in the presence of fluctuation effects in non-equilibrium thermodynamics. Triangular reactions are examined in detail, and it is shown …