Titlebook: Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model; Takashi Suzuki Book 2015Latest edition Atlantis

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Toland Duality,The collapse mass quantization, (.) to (.), has its origin in a stationary state (.) which provides a variational structure of duality between the particle density . and the field distribution ..

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Self-interacting Fluids,Macroscopic state of particles that constitute self-interacting fluid is formulated by a system of equations provided with self-duality between the particle density and the field distribution.

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Magnetic Fields,The electro-magnetic fields are described by the Maxwell equation. Concerning the static case, first, we have the regularity in a specific components of the solution across the interface.

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Boltzmann-Poisson Equation,The equilibrium statistical mechanics provides the derivation of the mean field limit of many self-interacting particles in the equilibrium state.

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